Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, B

Time bar (total: 5.0s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
1.5MiB live, 1.5MiB 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)

sample1.3s (26.3%)

Memory
46.0MiB live, 1 190.2MiB allocated; 350ms collecting garbage
Samples
1.0s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 544.0ms
ival-mult: 481.0ms (88.4% of total)
ival-sub: 45.0ms (8.3% of total)
ival-true: 6.0ms (1.1% of total)
exact: 5.0ms (0.9% of total)
ival-assert: 4.0ms (0.7% of total)
adjust: 2.0ms (0.4% of total)
Bogosity

explain142.0ms (2.8%)

Memory
-40.1MiB live, 108.2MiB allocated; 64ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
00-0-(*.f64 (*.f64 x #s(literal 3 binary64)) y)
00-0-y
00-0-#s(literal 3 binary64)
00-0-(*.f64 x #s(literal 3 binary64))
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
47.0ms512×0valid
Compiler

Compiled 49 to 25 computations (49% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (67.2% of total)
ival-sub: 2.0ms (19.2% 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)

preprocess16.0ms (0.3%)

Memory
22.6MiB live, 22.6MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02672
14768
28468
39868
077
0107
1147
2217
3237
0237
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Outputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(-.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) z)
Symmetry

(sort x y)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Compiler

Compiled 7 to 7 computations (0% saved)

simplify4.0ms (0.1%)

Memory
6.1MiB live, 6.1MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 3 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
cost-diff0
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
01019
11419
22119
32319
02319
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
z
Outputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(-.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) z)
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
x
#s(literal 3 binary64)
y
z

localize24.0ms (0.5%)

Memory
-8.2MiB live, 37.1MiB allocated; 10ms collecting garbage
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
accuracy0.0
(*.f64 x #s(literal 3 binary64))
accuracy0.1953125
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Samples
19.0ms256×0valid
Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sub: 7.0ms (67.3% of total)
ival-mult: 3.0ms (28.8% 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)

series6.0ms (0.1%)

Memory
13.7MiB live, 13.7MiB allocated; 0ms collecting garbage
Counts
3 → 11
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
Outputs
(* -1 z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* 3 x)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* -1 (* y (+ (* -3 x) (/ z y))))
(+ (* -1 z) (* 3 (* x y)))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((- (* (* x 3) y) z) (* (* x 3) y) (* x 3))
1.0ms
x
@0
((- (* (* x 3) y) z) (* (* x 3) y) (* x 3))
1.0ms
z
@0
((- (* (* x 3) y) z) (* (* x 3) y) (* x 3))
1.0ms
x
@-inf
((- (* (* x 3) y) z) (* (* x 3) y) (* x 3))
1.0ms
y
@inf
((- (* (* x 3) y) z) (* (* x 3) y) (* x 3))

simplify108.0ms (2.2%)

Memory
-7.0MiB live, 135.6MiB allocated; 23ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03866
112166
240266
3111766
4303866
5489266
6596966
7617966
8710966
0852766
Stop Event
iter limit
node limit
Counts
11 → 11
Calls
Call 1
Inputs
(* -1 z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* 3 x)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* -1 (* y (+ (* -3 x) (/ z y))))
(+ (* -1 z) (* 3 (* x y)))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
Outputs
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(* -1 (* x (+ (* -3 y) (/ z x))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(* -1 (* y (+ (* -3 x) (/ z y))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))

rewrite447.0ms (8.9%)

Memory
-28.9MiB live, 542.8MiB allocated; 79ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
01015
12615
216415
3175815
0873114
Stop Event
iter limit
node limit
iter limit
Counts
3 → 231
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
Outputs
(*.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z)))
(*.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 81 binary64) (*.f64 (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z) (-.f64 (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z) (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64))))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z))) (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (neg.f64 z) z)) (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (-.f64 z (*.f64 y (*.f64 #s(literal 3 binary64) x))))))
(*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
(*.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z)) (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z)))))))
(/.f64 (+.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 6 binary64)) (pow.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64))) (*.f64 (neg.f64 z) z)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #s(literal 2 binary64)))) (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) #s(literal 2 binary64)))) (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 6 binary64)) (pow.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) (*.f64 z z)))) (neg.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) (*.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) (*.f64 (neg.f64 z) z))) (pow.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) (*.f64 z z))) (pow.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) #s(literal 2 binary64)))
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(*.f64 #s(literal 3 binary64) (fabs.f64 (fabs.f64 (*.f64 y x))))
(*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (fabs.f64 (*.f64 y x)))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(*.f64 x (*.f64 y #s(literal 3 binary64)))
(pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x))))
(fabs.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)))
(fabs.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x))))
(+.f64 (cosh.f64 (log.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)))) (sinh.f64 (log.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)))))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))

eval71.0ms (1.4%)

Memory
17.0MiB live, 110.1MiB allocated; 8ms collecting garbage
Compiler

Compiled 8 430 to 627 computations (92.6% saved)

prune4.0ms (0.1%)

Memory
17.0MiB live, 17.0MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2314235
Fresh000
Picked011
Done000
Total2315236
Accuracy
100.0%
Counts
236 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.6%
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
99.8%
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
99.9%
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
99.8%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
49.4%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 57 to 44 computations (22.8% saved)

simplify120.0ms (2.4%)

Memory
-4.9MiB live, 179.1MiB allocated; 17ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 9 binary64) (*.f64 x x))
cost-diff0
(/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
cost-diff0
(*.f64 y y)
cost-diff7
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 (*.f64 y x) #s(literal 3 binary64))
cost-diff0
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
cost-diff0
(*.f64 y #s(literal 3 binary64))
cost-diff0
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
cost-diff0
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
cost-diff0
(neg.f64 z)
cost-diff0
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025132
043132
176126
2196126
3742126
43135126
54520126
65967126
08512125
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
z
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
x
z
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
y
x
#s(literal 3 binary64)
z
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
(*.f64 y y)
y
(/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
#s(literal 9 binary64)
(*.f64 x x)
x
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z)
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
z
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
Outputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
z
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
x
z
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(*.f64 y x)
y
x
#s(literal 3 binary64)
z
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
(/.f64 (fma.f64 (*.f64 x (*.f64 y x)) (*.f64 #s(literal 9 binary64) y) (*.f64 z z)) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z))
(*.f64 y y)
y
(/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)) #s(literal 9 binary64)) x)
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
#s(literal 9 binary64)
(*.f64 x x)
x
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z)
(fma.f64 (*.f64 #s(literal 3 binary64) x) y z)
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
z
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
(*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)) z)
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) x) y z))

localize77.0ms (1.5%)

Memory
3.4MiB live, 148.0MiB allocated; 15ms collecting garbage
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.5583357561864083
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
accuracy2.003963048049842
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
accuracy15.006341210480679
(/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
accuracy16.201189102287557
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
accuracy0.0
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
accuracy0.0
(*.f64 y x)
accuracy0.22265625
(*.f64 (*.f64 y x) #s(literal 3 binary64))
accuracy0.0
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
accuracy0.0
(*.f64 y #s(literal 3 binary64))
accuracy0.18359375
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
accuracy0.0
(neg.f64 z)
accuracy32.368101810634364
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Samples
63.0ms256×0valid
Compiler

Compiled 138 to 28 computations (79.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 25.0ms (67% of total)
ival-sub: 5.0ms (13.4% of total)
ival-div: 3.0ms (8% of total)
ival-add: 2.0ms (5.4% 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)

series29.0ms (0.6%)

Memory
12.5MiB live, 58.3MiB allocated; 3ms collecting garbage
Counts
14 → 115
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(*.f64 y #s(literal 3 binary64))
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
(*.f64 y y)
(/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
Outputs
(* -1 z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x y)
z
(+ z (* -3 (* x y)))
(+ z (* x (- (* x (- (* 9 (/ (pow y 2) z)) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(+ z (* x (- (* x (- (+ (* 9 (/ (pow y 2) z)) (* x (- (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(* 9 (/ (pow x 2) z))
(* (pow x 2) (+ (* -27 (/ (* x y) (pow z 2))) (* 9 (/ 1 z))))
(* (pow x 2) (+ (* x (+ (* -27 (/ y (pow z 2))) (* 81 (/ (* x (pow y 2)) (pow z 3))))) (* 9 (/ 1 z))))
(* (pow x 2) (+ (* x (+ (* -27 (/ y (pow z 2))) (* x (+ (* -243 (/ (* x (pow y 3)) (pow z 4))) (* 81 (/ (pow y 2) (pow z 3))))))) (* 9 (/ 1 z))))
(* 9 (pow x 2))
1
(+ 1 (* -3 (/ (* x y) z)))
(+ 1 (* x (- (* 9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))))
(+ 1 (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 3))) (* -9 (/ (pow y 2) (pow z 2))))) (* 3 (/ y z)))))
(+ z (* x (- (* 9 (/ (* x (pow y 2)) z)) (* 3 y))))
(+ z (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 2))) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (+ (* 2/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y))))
(* x (- (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 2/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y)))) (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2))))))
(* 3 (/ x y))
(* x (+ (* -1 (/ z (* x (pow y 2)))) (* 3 (/ 1 y))))
(* x (- (+ (* 1/3 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (* 3 (/ 1 y))) (/ z (* x (pow y 2)))))
(* x (- (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (* 3 (/ 1 y))) (+ (* -1/3 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (/ z (* x (pow y 2))))))
(* 1/3 (/ z (* x y)))
(/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x)
(* 1/3 (/ (pow z 2) (* x y)))
(/ (+ (* -1/9 (/ (pow z 3) (* x (pow y 2)))) (* 1/3 (/ (pow z 2) y))) x)
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/3 (/ (pow z 2) y))) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 3) (pow y 4)))) (* 1/3 (/ (pow z 2) y))) (+ (* -1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 3) (* x (pow y 2)))))) x)
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* 2/3 (/ (pow z 2) (* x y)))) x)))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (- (* -1/9 (/ (pow z 3) (pow y 2))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -2/3 (/ (pow z 2) y))) x))) x)))))
(* -1 (* x (- (/ z (* x (pow y 2))) (* 3 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ (pow z 2) (* x (pow y 3)))) (/ z (pow y 2))) x)) (* 3 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ (pow z 3) (* x (pow y 4)))) (* 1/3 (/ (pow z 2) (pow y 3)))) x)) (/ z (pow y 2))) x)) (* 3 (/ 1 y)))))
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* x (pow y 3)))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* x (pow y 4)))) (* 1/27 (/ (pow z 4) (pow y 3)))) x)) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))
(* 3 y)
(+ z (* y (- (* y (- (* 9 (/ (pow x 2) z)) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(+ z (* y (- (* y (- (+ (* 9 (/ (pow x 2) z)) (* y (- (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(pow y 2)
(+ (* -27 (/ (* (pow x 3) y) (pow z 2))) (* 9 (/ (pow x 2) z)))
(+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 81 (/ (* (pow x 4) y) (pow z 3))))))
(+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* y (+ (* -243 (/ (* (pow x 5) y) (pow z 4))) (* 81 (/ (pow x 4) (pow z 3))))))))
(+ 1 (* y (- (* 9 (/ (* (pow x 2) y) (pow z 2))) (* 3 (/ x z)))))
(+ 1 (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 3))) (* -9 (/ (pow x 2) (pow z 2))))) (* 3 (/ x z)))))
(+ z (* y (- (* 9 (/ (* (pow x 2) y) z)) (* 3 x))))
(+ z (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 2))) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (+ (* 2/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x))))
(* y (- (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 2/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3))))))
(/ (+ (* -1 (/ z y)) (* 3 x)) y)
(/ (+ (* -1 (/ z y)) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x))) y)
(/ (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x)))) y)
(/ (+ (* -1/9 (/ (pow z 2) (* (pow x 2) y))) (* 1/3 (/ z x))) y)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z x))) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (* 1/3 (/ z x))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 2) (* (pow x 2) y))))) y)
(/ (+ (* -1/9 (/ (pow z 3) (* (pow x 2) y))) (* 1/3 (/ (pow z 2) x))) y)
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/3 (/ (pow z 2) x))) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y)
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 4) (pow y 3)))) (* 1/3 (/ (pow z 2) x))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) y))))) y)
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* 2/3 (/ (pow z 2) (* x y)))) y)))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (- (* -1/9 (/ (pow z 3) (pow x 2))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -2/3 (/ (pow z 2) x))) y))) y)))))
(* -1 (/ (+ (* -3 x) (/ z y)) y))
(* -1 (/ (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* 1/3 (/ (pow z 2) (* x y)))) y))) y))
(* -1 (/ (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y))) y))) y))
(* -1 (/ (+ (* -1/3 (/ z x)) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* (pow x 3) y))) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* (pow x 4) y))) (* 1/27 (/ (pow z 3) (pow x 3)))) y)) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* (pow x 3) y))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* (pow x 4) y))) (* 1/27 (/ (pow z 4) (pow x 3)))) y)) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* 3 (* x y)) (* z (- (* 2/3 (/ z (* x y))) 1)))
(+ (* 3 (* x y)) (* z (- (* z (+ (* -2/9 (/ z (* (pow x 2) (pow y 2)))) (* 2/3 (/ 1 (* x y))))) 1)))
(+ (* -1 (/ z (pow y 2))) (* 3 (/ x y)))
(+ (* 3 (/ x y)) (* z (- (* 1/3 (/ z (* x (pow y 3)))) (/ 1 (pow y 2)))))
(+ (* 3 (/ x y)) (* z (- (* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 4)))) (* 1/3 (/ 1 (* x (pow y 3)))))) (/ 1 (pow y 2)))))
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (+ 1 (* -3 (/ (* x y) z))))
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z)))))
(* z (- (+ 1 (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))))))
(/ (+ (* -27 (/ (* (pow x 3) y) z)) (* 9 (pow x 2))) z)
(/ (+ (* -27 (/ (* (pow x 3) y) z)) (+ (* 9 (pow x 2)) (* 81 (/ (* (pow x 4) (pow y 2)) (pow z 2))))) z)
(/ (+ (* -243 (/ (* (pow x 5) (pow y 3)) (pow z 3))) (+ (* -27 (/ (* (pow x 3) y) z)) (+ (* 9 (pow x 2)) (* 81 (/ (* (pow x 4) (pow y 2)) (pow z 2)))))) z)
(- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z)))
(- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z))))
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z))))
(* z (- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (+ (* -9 (* (pow x 2) (pow y 2))) (* -1 (/ (- (* -27 (* (pow x 3) (pow y 3))) (* 27 (* (pow x 3) (pow y 3)))) z))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
(* -1 (/ (+ (* -9 (pow x 2)) (* 27 (/ (* (pow x 3) y) z))) z))
(* -1 (/ (+ (* -9 (pow x 2)) (* -1 (/ (+ (* -27 (* (pow x 3) y)) (* 81 (/ (* (pow x 4) (pow y 2)) z))) z))) z))
(* -1 (/ (+ (* -9 (pow x 2)) (* -1 (/ (+ (* -27 (* (pow x 3) y)) (* -1 (/ (+ (* -81 (* (pow x 4) (pow y 2))) (* 243 (/ (* (pow x 5) (pow y 3)) z))) z))) z))) z))
(+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* -3 (* x y))) z)))
(* -1 (* z (- (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 2)) z)) (* 3 (* x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 3)) z)) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((- (* (* x 3) y) z) (neg z) (- (* (* y 3) x) z) (* (* y 3) x) (* y 3) (- (* (* y x) 3) z) (* (* y x) 3) (* y x) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (* z (/ z (+ (* y (* 3 x)) z)))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* 9 (* x x)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
4.0ms
y
@0
((- (* (* x 3) y) z) (neg z) (- (* (* y 3) x) z) (* (* y 3) x) (* y 3) (- (* (* y x) 3) z) (* (* y x) 3) (* y x) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (* z (/ z (+ (* y (* 3 x)) z)))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* 9 (* x x)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
4.0ms
z
@inf
((- (* (* x 3) y) z) (neg z) (- (* (* y 3) x) z) (* (* y 3) x) (* y 3) (- (* (* y x) 3) z) (* (* y x) 3) (* y x) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (* z (/ z (+ (* y (* 3 x)) z)))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* 9 (* x x)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
3.0ms
y
@inf
((- (* (* x 3) y) z) (neg z) (- (* (* y 3) x) z) (* (* y 3) x) (* y 3) (- (* (* y x) 3) z) (* (* y x) 3) (* y x) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (* z (/ z (+ (* y (* 3 x)) z)))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* 9 (* x x)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
3.0ms
y
@-inf
((- (* (* x 3) y) z) (neg z) (- (* (* y 3) x) z) (* (* y 3) x) (* y 3) (- (* (* y x) 3) z) (* (* y x) 3) (* y x) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (* z (/ z (+ (* y (* 3 x)) z)))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* 9 (* x x)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))

simplify167.0ms (3.3%)

Memory
-1.2MiB live, 217.9MiB allocated; 39ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07112907
123232783
084242619
Stop Event
iter limit
node limit
Counts
115 → 114
Calls
Call 1
Inputs
(* -1 z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x y)
z
(+ z (* -3 (* x y)))
(+ z (* x (- (* x (- (* 9 (/ (pow y 2) z)) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(+ z (* x (- (* x (- (+ (* 9 (/ (pow y 2) z)) (* x (- (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(* 9 (/ (pow x 2) z))
(* (pow x 2) (+ (* -27 (/ (* x y) (pow z 2))) (* 9 (/ 1 z))))
(* (pow x 2) (+ (* x (+ (* -27 (/ y (pow z 2))) (* 81 (/ (* x (pow y 2)) (pow z 3))))) (* 9 (/ 1 z))))
(* (pow x 2) (+ (* x (+ (* -27 (/ y (pow z 2))) (* x (+ (* -243 (/ (* x (pow y 3)) (pow z 4))) (* 81 (/ (pow y 2) (pow z 3))))))) (* 9 (/ 1 z))))
(* 9 (pow x 2))
1
(+ 1 (* -3 (/ (* x y) z)))
(+ 1 (* x (- (* 9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))))
(+ 1 (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 3))) (* -9 (/ (pow y 2) (pow z 2))))) (* 3 (/ y z)))))
(+ z (* x (- (* 9 (/ (* x (pow y 2)) z)) (* 3 y))))
(+ z (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 2))) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (+ (* 2/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y))))
(* x (- (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 2/3 (/ (pow z 2) (* (pow x 2) y))) (* 3 y)))) (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2))))))
(* 3 (/ x y))
(* x (+ (* -1 (/ z (* x (pow y 2)))) (* 3 (/ 1 y))))
(* x (- (+ (* 1/3 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (* 3 (/ 1 y))) (/ z (* x (pow y 2)))))
(* x (- (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (* 3 (/ 1 y))) (+ (* -1/3 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (/ z (* x (pow y 2))))))
(* 1/3 (/ z (* x y)))
(/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x)
(* 1/3 (/ (pow z 2) (* x y)))
(/ (+ (* -1/9 (/ (pow z 3) (* x (pow y 2)))) (* 1/3 (/ (pow z 2) y))) x)
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/3 (/ (pow z 2) y))) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 3) (pow y 4)))) (* 1/3 (/ (pow z 2) y))) (+ (* -1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 3) (* x (pow y 2)))))) x)
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* 2/3 (/ (pow z 2) (* x y)))) x)))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (- (* -1/9 (/ (pow z 3) (pow y 2))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -2/3 (/ (pow z 2) y))) x))) x)))))
(* -1 (* x (- (/ z (* x (pow y 2))) (* 3 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ (pow z 2) (* x (pow y 3)))) (/ z (pow y 2))) x)) (* 3 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ (pow z 3) (* x (pow y 4)))) (* 1/3 (/ (pow z 2) (pow y 3)))) x)) (/ z (pow y 2))) x)) (* 3 (/ 1 y)))))
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* x (pow y 3)))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* x (pow y 4)))) (* 1/27 (/ (pow z 4) (pow y 3)))) x)) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))
(* 3 y)
(+ z (* y (- (* y (- (* 9 (/ (pow x 2) z)) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(+ z (* y (- (* y (- (+ (* 9 (/ (pow x 2) z)) (* y (- (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(pow y 2)
(+ (* -27 (/ (* (pow x 3) y) (pow z 2))) (* 9 (/ (pow x 2) z)))
(+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 81 (/ (* (pow x 4) y) (pow z 3))))))
(+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* y (+ (* -243 (/ (* (pow x 5) y) (pow z 4))) (* 81 (/ (pow x 4) (pow z 3))))))))
(+ 1 (* y (- (* 9 (/ (* (pow x 2) y) (pow z 2))) (* 3 (/ x z)))))
(+ 1 (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 3))) (* -9 (/ (pow x 2) (pow z 2))))) (* 3 (/ x z)))))
(+ z (* y (- (* 9 (/ (* (pow x 2) y) z)) (* 3 x))))
(+ z (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 2))) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (+ (* 2/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x))))
(* y (- (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 2/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3))))))
(/ (+ (* -1 (/ z y)) (* 3 x)) y)
(/ (+ (* -1 (/ z y)) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x))) y)
(/ (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x)))) y)
(/ (+ (* -1/9 (/ (pow z 2) (* (pow x 2) y))) (* 1/3 (/ z x))) y)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z x))) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (* 1/3 (/ z x))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 2) (* (pow x 2) y))))) y)
(/ (+ (* -1/9 (/ (pow z 3) (* (pow x 2) y))) (* 1/3 (/ (pow z 2) x))) y)
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/3 (/ (pow z 2) x))) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y)
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 4) (pow y 3)))) (* 1/3 (/ (pow z 2) x))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) y))))) y)
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* 2/3 (/ (pow z 2) (* x y)))) y)))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (- (* -1/9 (/ (pow z 3) (pow x 2))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -2/3 (/ (pow z 2) x))) y))) y)))))
(* -1 (/ (+ (* -3 x) (/ z y)) y))
(* -1 (/ (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* 1/3 (/ (pow z 2) (* x y)))) y))) y))
(* -1 (/ (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y))) y))) y))
(* -1 (/ (+ (* -1/3 (/ z x)) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* (pow x 3) y))) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* (pow x 4) y))) (* 1/27 (/ (pow z 3) (pow x 3)))) y)) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* (pow x 3) y))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* (pow x 4) y))) (* 1/27 (/ (pow z 4) (pow x 3)))) y)) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* 3 (* x y)) (* z (- (* 2/3 (/ z (* x y))) 1)))
(+ (* 3 (* x y)) (* z (- (* z (+ (* -2/9 (/ z (* (pow x 2) (pow y 2)))) (* 2/3 (/ 1 (* x y))))) 1)))
(+ (* -1 (/ z (pow y 2))) (* 3 (/ x y)))
(+ (* 3 (/ x y)) (* z (- (* 1/3 (/ z (* x (pow y 3)))) (/ 1 (pow y 2)))))
(+ (* 3 (/ x y)) (* z (- (* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 4)))) (* 1/3 (/ 1 (* x (pow y 3)))))) (/ 1 (pow y 2)))))
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (+ 1 (* -3 (/ (* x y) z))))
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z)))))
(* z (- (+ 1 (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))))))
(/ (+ (* -27 (/ (* (pow x 3) y) z)) (* 9 (pow x 2))) z)
(/ (+ (* -27 (/ (* (pow x 3) y) z)) (+ (* 9 (pow x 2)) (* 81 (/ (* (pow x 4) (pow y 2)) (pow z 2))))) z)
(/ (+ (* -243 (/ (* (pow x 5) (pow y 3)) (pow z 3))) (+ (* -27 (/ (* (pow x 3) y) z)) (+ (* 9 (pow x 2)) (* 81 (/ (* (pow x 4) (pow y 2)) (pow z 2)))))) z)
(- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z)))
(- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z))))
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z))))
(* z (- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (+ (* -9 (* (pow x 2) (pow y 2))) (* -1 (/ (- (* -27 (* (pow x 3) (pow y 3))) (* 27 (* (pow x 3) (pow y 3)))) z))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
(* -1 (/ (+ (* -9 (pow x 2)) (* 27 (/ (* (pow x 3) y) z))) z))
(* -1 (/ (+ (* -9 (pow x 2)) (* -1 (/ (+ (* -27 (* (pow x 3) y)) (* 81 (/ (* (pow x 4) (pow y 2)) z))) z))) z))
(* -1 (/ (+ (* -9 (pow x 2)) (* -1 (/ (+ (* -27 (* (pow x 3) y)) (* -1 (/ (+ (* -81 (* (pow x 4) (pow y 2))) (* 243 (/ (* (pow x 5) (pow y 3)) z))) z))) z))) z))
(+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* -3 (* x y))) z)))
(* -1 (* z (- (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 2)) z)) (* 3 (* x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 3)) z)) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
Outputs
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* x y)
(*.f64 y x)
z
(+ z (* -3 (* x y)))
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z)
(+ z (* x (- (* x (- (* 9 (/ (pow y 2) z)) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(fma.f64 (fma.f64 #s(literal -3 binary64) y (*.f64 (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y y) z)) x)) x z)
(+ z (* x (- (* x (- (+ (* 9 (/ (pow y 2) z)) (* x (- (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -54 binary64)) (*.f64 z z)) x (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y y) z))) x (*.f64 #s(literal -3 binary64) y)) x z)
(* 9 (/ (pow x 2) z))
(*.f64 (/.f64 (*.f64 x x) z) #s(literal 9 binary64))
(* (pow x 2) (+ (* -27 (/ (* x y) (pow z 2))) (* 9 (/ 1 z))))
(/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) z) #s(literal -27 binary64) (*.f64 (*.f64 x x) #s(literal 9 binary64))) z)
(* (pow x 2) (+ (* x (+ (* -27 (/ y (pow z 2))) (* 81 (/ (* x (pow y 2)) (pow z 3))))) (* 9 (/ 1 z))))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -27 binary64) z) (/.f64 y z) (/.f64 (*.f64 x (*.f64 #s(literal 81 binary64) (*.f64 y y))) (pow.f64 z #s(literal 3 binary64)))) x (/.f64 #s(literal 9 binary64) z)) (*.f64 x x))
(* (pow x 2) (+ (* x (+ (* -27 (/ y (pow z 2))) (* x (+ (* -243 (/ (* x (pow y 3)) (pow z 4))) (* 81 (/ (pow y 2) (pow z 3))))))) (* 9 (/ 1 z))))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -27 binary64) z) (/.f64 y z) (*.f64 (fma.f64 (*.f64 #s(literal -243 binary64) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 81 binary64) (*.f64 y y)) (pow.f64 z #s(literal 3 binary64)))) x)) x (/.f64 #s(literal 9 binary64) z)) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -3 (/ (* x y) z)))
(fma.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* 9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 9 binary64) x) (*.f64 y (/.f64 y (*.f64 z z))) (*.f64 (/.f64 y z) #s(literal -3 binary64))) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 3))) (* -9 (/ (pow y 2) (pow z 2))))) (* 3 (/ y z)))))
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(* -1 (/ (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y))) y))) y))
(/.f64 (fma.f64 #s(literal -3 binary64) x (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 (*.f64 z (/.f64 z x)) #s(literal -1/3 binary64))) (neg.f64 y)) z) (neg.f64 y))) (neg.f64 y))
(* -1 (/ (+ (* -1/3 (/ z x)) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y))
(/.f64 (fma.f64 (/.f64 z y) #s(literal -1/3 binary64) (*.f64 (*.f64 z (/.f64 z (*.f64 (*.f64 y y) x))) #s(literal 1/9 binary64))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* (pow x 3) y))) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z x) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) y) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 z (/.f64 z x)) x) #s(literal -1/9 binary64))) (neg.f64 y))) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* (pow x 4) y))) (* 1/27 (/ (pow z 3) (pow x 3)))) y)) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z x) (/.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z x)) x) #s(literal -1/9 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (*.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) #s(literal -1/27 binary64))) (neg.f64 y))) (neg.f64 y))) (neg.f64 y))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y))
(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 (*.f64 z (/.f64 z x)) #s(literal -1/3 binary64))) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* (pow x 3) y))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))
(/.f64 (fma.f64 (*.f64 z (/.f64 z x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (*.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) y))) (neg.f64 y))) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* (pow x 4) y))) (* 1/27 (/ (pow z 4) (pow x 3)))) y)) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))
(/.f64 (fma.f64 (*.f64 z (/.f64 z x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) y) (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 y))) (neg.f64 y))) (neg.f64 y))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(+ (* 3 (* x y)) (* z (- (* 2/3 (/ z (* x y))) 1)))
(fma.f64 (-.f64 (*.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 y x)) z) #s(literal 1 binary64)) z (*.f64 (*.f64 y x) #s(literal 3 binary64)))
(+ (* 3 (* x y)) (* z (- (* z (+ (* -2/9 (/ z (* (pow x 2) (pow y 2)))) (* 2/3 (/ 1 (* x y))))) 1)))
(fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 (*.f64 (*.f64 x x) y) y)) #s(literal -2/9 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 y x))) z) #s(literal 1 binary64)) z (*.f64 (*.f64 y x) #s(literal 3 binary64)))
(+ (* -1 (/ z (pow y 2))) (* 3 (/ x y)))
(/.f64 (fma.f64 #s(literal 3 binary64) x (/.f64 (neg.f64 z) y)) y)
(+ (* 3 (/ x y)) (* z (- (* 1/3 (/ z (* x (pow y 3)))) (/ 1 (pow y 2)))))
(fma.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) z) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) z (*.f64 (/.f64 x y) #s(literal 3 binary64)))
(+ (* 3 (/ x y)) (* z (- (* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 4)))) (* 1/3 (/ 1 (* x (pow y 3)))))) (/ 1 (pow y 2)))))
(fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x)) #s(literal -1/9 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) z) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) z (*.f64 (/.f64 x y) #s(literal 3 binary64)))
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(*.f64 (fma.f64 (/.f64 z (*.f64 (*.f64 (*.f64 x x) y) y)) #s(literal -1/9 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y x))) z)
(* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) z (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 x x) y) y))) z (/.f64 #s(literal 1/3 binary64) (*.f64 y x))) z)
(* z (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/27 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) z (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 x x) y) y))) z (/.f64 #s(literal 1/3 binary64) (*.f64 y x))) z)
(* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 (*.f64 (*.f64 x x) y) y)) #s(literal -1/9 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y x))) z) z)
(* (pow z 2) (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) z (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 x x) y) y))) z (/.f64 #s(literal 1/3 binary64) (*.f64 y x))) z) z)
(* (pow z 2) (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/27 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) z (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 x x) y) y))) z (/.f64 #s(literal 1/3 binary64) (*.f64 y x))) (*.f64 z z))
(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 1 binary64)) z)
(* z (+ 1 (* -3 (/ (* x y) z))))
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64) #s(literal 1 binary64)) z)
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z)))))
(*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y (/.f64 y (*.f64 z z))) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) #s(literal -9 binary64) (*.f64 (*.f64 y x) #s(literal 3 binary64))) z)) z)
(* z (- (+ 1 (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))))))
(*.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal -27 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y (/.f64 y (*.f64 z z))) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 27 binary64) (/.f64 (fma.f64 (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) #s(literal -9 binary64) (*.f64 (*.f64 y x) #s(literal 3 binary64))) z))) z)
(/ (+ (* -27 (/ (* (pow x 3) y) z)) (* 9 (pow x 2))) z)
(/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) z) #s(literal -27 binary64) (*.f64 (*.f64 x x) #s(literal 9 binary64))) z)
(/ (+ (* -27 (/ (* (pow x 3) y) z)) (+ (* 9 (pow x 2)) (* 81 (/ (* (pow x 4) (pow y 2)) (pow z 2))))) z)
(/.f64 (fma.f64 (*.f64 #s(literal 9 binary64) x) x (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) y) z) #s(literal 81 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -27 binary64))) z)) z)
(/ (+ (* -243 (/ (* (pow x 5) (pow y 3)) (pow z 3))) (+ (* -27 (/ (* (pow x 3) y) z)) (+ (* 9 (pow x 2)) (* 81 (/ (* (pow x 4) (pow y 2)) (pow z 2)))))) z)
(/.f64 (fma.f64 (*.f64 #s(literal -243 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9 binary64) x) x (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) y) z) #s(literal 81 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -27 binary64))) z))) z)
(- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z)))
(+.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (*.f64 y x))) z) #s(literal 1 binary64))
(- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z))))
(fma.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal -27 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (*.f64 y x))) z) #s(literal 1 binary64)))
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z))))
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (*.f64 y x))) z) #s(literal 1 binary64)) z)
(* z (- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z)))))
(*.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal -27 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (*.f64 y x))) z) #s(literal 1 binary64))) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x) y (/.f64 (*.f64 #s(literal -18 binary64) (*.f64 (*.f64 (*.f64 x x) y) y)) (neg.f64 z))) (neg.f64 z)) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (+ (* -9 (* (pow x 2) (pow y 2))) (* -1 (/ (- (* -27 (* (pow x 3) (pow y 3))) (* 27 (* (pow x 3) (pow y 3)))) z))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x) y (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -54 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) z) #s(literal -1 binary64) (*.f64 #s(literal -18 binary64) (*.f64 (*.f64 (*.f64 x x) y) y))) (neg.f64 z))) (neg.f64 z)) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (/ (+ (* -9 (pow x 2)) (* 27 (/ (* (pow x 3) y) z))) z))
(/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) z) #s(literal 27 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) (neg.f64 z))
(* -1 (/ (+ (* -9 (pow x 2)) (* -1 (/ (+ (* -27 (* (pow x 3) y)) (* 81 (/ (* (pow x 4) (pow y 2)) z))) z))) z))
(/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) x) x (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) y) z) #s(literal 81 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -27 binary64))) (neg.f64 z))) (neg.f64 z))
(* -1 (/ (+ (* -9 (pow x 2)) (* -1 (/ (+ (* -27 (* (pow x 3) y)) (* -1 (/ (+ (* -81 (* (pow x 4) (pow y 2))) (* 243 (/ (* (pow x 5) (pow y 3)) z))) z))) z))) z))
(/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) x) x (/.f64 (fma.f64 (*.f64 #s(literal -27 binary64) y) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 4 binary64))) y) y (*.f64 (*.f64 #s(literal 243 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) z))) (neg.f64 z))) (neg.f64 z))) (neg.f64 z))
(+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z)))
(+.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (*.f64 y x))) z) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* -3 (* x y))) z)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) z) #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) #s(literal 9 binary64))) (neg.f64 z))) z))
(* -1 (* z (- (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 2)) z)) (* 3 (* x y))) z)) 1)))
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 (/.f64 (*.f64 y y) z) x)) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (*.f64 y x))) (neg.f64 z)) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 3)) z)) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x) y (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) z) #s(literal 27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) #s(literal -9 binary64))) (neg.f64 z))) (neg.f64 z)) #s(literal 1 binary64)) (neg.f64 z))

rewrite278.0ms (5.6%)

Memory
10.0MiB live, 339.8MiB allocated; 96ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025106
043106
1147100
273998
0935697
Stop Event
iter limit
node limit
iter limit
Counts
14 → 615
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(*.f64 y #s(literal 3 binary64))
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
(*.f64 y y)
(/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
Outputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 z z)) (neg.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))))) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (-.f64 z (*.f64 (*.f64 y #s(literal 3 binary64)) x)))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) (/.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 z z)) (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) (/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z) (fma.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) (pow.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) y z) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)))
(*.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 z z)) (neg.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))))) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (-.f64 z (*.f64 (*.f64 y #s(literal 3 binary64)) x)))))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z))
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(fma.f64 (pow.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 z (-.f64 z (*.f64 (*.f64 y #s(literal 3 binary64)) x))) (/.f64 (*.f64 z z) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))))))
(fma.f64 (*.f64 z (-.f64 z (*.f64 (*.f64 y #s(literal 3 binary64)) x))) (/.f64 (*.f64 z z) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))))))
(+.f64 (*.f64 (pow.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (*.f64 z (-.f64 z (*.f64 (*.f64 y #s(literal 3 binary64)) x))) (/.f64 (*.f64 z z) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 z (-.f64 z (*.f64 (*.f64 y #s(literal 3 binary64)) x))) (/.f64 (*.f64 z z) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (pow.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))))))
(+.f64 (*.f64 (/.f64 (*.f64 z z) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 z z) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z (-.f64 z (*.f64 (*.f64 y #s(literal 3 binary64)) x)))))
(+.f64 (*.f64 (/.f64 (*.f64 z z) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z (-.f64 z (*.f64 (*.f64 y #s(literal 3 binary64)) x)))) (*.f64 (/.f64 (*.f64 z z) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) #s(literal 2 binary64))))

eval84.0ms (1.7%)

Memory
34.0MiB live, 175.8MiB allocated; 39ms collecting garbage
Compiler

Compiled 26 426 to 1 796 computations (93.2% saved)

prune13.0ms (0.3%)

Memory
-3.7MiB live, 40.4MiB allocated; 7ms collecting garbage
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New5861587
Fresh000
Picked134
Done011
Total5875592
Accuracy
100.0%
Counts
592 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
99.9%
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
99.8%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
91.6%
#s(approx (- (* (* x 3) y) z) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 1 binary64)) z))
49.4%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 50 to 45 computations (10% saved)

simplify5.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64))
cost-diff0
(-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 1 binary64))
cost-diff0
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 1 binary64)) z)
cost-diff0
#s(approx (- (* (* x 3) y) z) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 1 binary64)) z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01459
01959
13259
24659
36259
47159
07159
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 1 binary64)) z))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 1 binary64)) z)
(-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64))
(/.f64 (*.f64 y x) z)
(*.f64 y x)
y
x
z
#s(literal 3 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (- (* (* x 3) y) z) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 1 binary64)) z))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 1 binary64)) z)
(-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64))
(/.f64 (*.f64 y x) z)
(*.f64 y x)
y
x
z
#s(literal 3 binary64)
#s(literal 1 binary64)

localize36.0ms (0.7%)

Memory
-25.2MiB live, 75.8MiB allocated; 13ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
#s(approx (- (* (* x 3) y) z) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 1 binary64)) z))
accuracy0.1953125
(*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64))
accuracy4.510294579034897
(/.f64 (*.f64 y x) z)
accuracy5.293279100311667
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 1 binary64)) z)
Samples
29.0ms256×0valid
Compiler

Compiled 49 to 15 computations (69.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 13.0ms (72.1% of total)
ival-sub: 3.0ms (16.6% of total)
ival-div: 2.0ms (11.1% of total)
exact: 1.0ms (5.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.3%)

Memory
-11.6MiB live, 32.3MiB allocated; 7ms collecting garbage
Counts
5 → 19
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 1 binary64)) z))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 1 binary64)) z)
(-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64))
(/.f64 (*.f64 y x) z)
Outputs
(* -1 z)
(- (* 3 (* x y)) z)
(+ (* -1 z) (* 3 (* x y)))
-1
(- (* 3 (/ (* x y) z)) 1)
(* 3 (/ (* x y) z))
(/ (* x y) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (- (* 3 (/ y z)) (/ 1 x)))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 (/ y z)) (/ 1 x))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (- (* 3 (/ x z)) (/ 1 y)))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 (/ x z)) (/ 1 y))))
(/ (+ (* -1 z) (* 3 (* x y))) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
Calls

9 calls:

TimeVariablePointExpression
5.0ms
z
@inf
((- (* (* x 3) y) z) (* (- (* (/ (* y x) z) 3) 1) z) (- (* (/ (* y x) z) 3) 1) (* (/ (* y x) z) 3) (/ (* y x) z))
1.0ms
z
@-inf
((- (* (* x 3) y) z) (* (- (* (/ (* y x) z) 3) 1) z) (- (* (/ (* y x) z) 3) 1) (* (/ (* y x) z) 3) (/ (* y x) z))
1.0ms
y
@-inf
((- (* (* x 3) y) z) (* (- (* (/ (* y x) z) 3) 1) z) (- (* (/ (* y x) z) 3) 1) (* (/ (* y x) z) 3) (/ (* y x) z))
1.0ms
x
@-inf
((- (* (* x 3) y) z) (* (- (* (/ (* y x) z) 3) 1) z) (- (* (/ (* y x) z) 3) 1) (* (/ (* y x) z) 3) (/ (* y x) z))
1.0ms
x
@0
((- (* (* x 3) y) z) (* (- (* (/ (* y x) z) 3) 1) z) (- (* (/ (* y x) z) 3) 1) (* (/ (* y x) z) 3) (/ (* y x) z))

simplify205.0ms (4.1%)

Memory
-22.0MiB live, 150.5MiB allocated; 103ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057130
1174130
2605130
31626130
44378130
57346130
08021124
Stop Event
iter limit
node limit
Counts
19 → 19
Calls
Call 1
Inputs
(* -1 z)
(- (* 3 (* x y)) z)
(+ (* -1 z) (* 3 (* x y)))
-1
(- (* 3 (/ (* x y) z)) 1)
(* 3 (/ (* x y) z))
(/ (* x y) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (- (* 3 (/ y z)) (/ 1 x)))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 (/ y z)) (/ 1 x))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (- (* 3 (/ x z)) (/ 1 y)))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 (/ x z)) (/ 1 y))))
(/ (+ (* -1 z) (* 3 (* x y))) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
Outputs
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
-1
#s(literal -1 binary64)
(- (* 3 (/ (* x y) z)) 1)
(fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))
(* 3 (/ (* x y) z))
(*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64))
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* x (- (* 3 (/ y z)) (/ 1 x)))
(fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))
(* -1 (* x (+ (* -3 y) (/ z x))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* -1 (* x (+ (* -3 (/ y z)) (/ 1 x))))
(fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* y (- (* 3 (/ x z)) (/ 1 y)))
(fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))
(* -1 (* y (+ (* -3 x) (/ z y))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* -1 (* y (+ (* -3 (/ x z)) (/ 1 y))))
(fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))
(/ (+ (* -1 z) (* 3 (* x y))) z)
(fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))

rewrite246.0ms (4.9%)

Memory
21.0MiB live, 257.4MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01451
01951
16051
235551
3416351
0839151
Stop Event
iter limit
node limit
iter limit
Counts
5 → 110
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 1 binary64)) z))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 1 binary64)) z)
(-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64))
(/.f64 (*.f64 y x) z)
Outputs
#s(approx (- (* (* x 3) y) z) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 1 binary64)) z))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) z) (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) z) (fma.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 4 binary64)) #s(literal 81 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) z) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) z) (fma.f64 #s(literal -27 binary64) (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 y x) z) (-.f64 (*.f64 #s(literal 9 binary64) (/.f64 (*.f64 y x) z)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) z) (fma.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64))) (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 z (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (/.f64 z (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 z (fma.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal 1 binary64)))))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 z #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 1 binary64)) z)
(*.f64 z (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64))) z) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) z) (neg.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal 1 binary64)))))
(/.f64 (*.f64 z (neg.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)))) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal -1 binary64)))
(/.f64 (*.f64 z (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) z)) (neg.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) z)) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) z) (fma.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) z) (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 1 binary64)) z) #s(literal 1 binary64))
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eval16.0ms (0.3%)

Memory
-2.0MiB live, 44.1MiB allocated; 4ms collecting garbage
Compiler

Compiled 3 717 to 588 computations (84.2% saved)

prune3.0ms (0.1%)

Memory
14.3MiB live, 14.2MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1162118
Fresh000
Picked011
Done134
Total1176123
Accuracy
100.0%
Counts
123 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
99.9%
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
91.6%
#s(approx (- (* (* x 3) y) z) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 1 binary64)) z))
52.2%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
86.0%
#s(approx (- (* (* x 3) y) z) (*.f64 #s(approx (- (* (/ (* y x) z) 3) 1) (fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) z))
49.4%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 84 to 69 computations (17.9% saved)

simplify15.0ms (0.3%)

Memory
-22.5MiB live, 24.1MiB allocated; 2ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 3 binary64) x)
cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
cost-diff0
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
cost-diff0
(fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))
cost-diff0
#s(approx (- (* (/ (* y x) z) 3) 1) (fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)))
cost-diff0
(*.f64 #s(approx (- (* (/ (* y x) z) 3) 1) (fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) z)
cost-diff0
#s(approx (- (* (* x 3) y) z) (*.f64 #s(approx (- (* (/ (* y x) z) 3) 1) (fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022109
029109
151109
277109
3147109
4271109
5403109
6429109
7433109
8438109
9443109
0443109
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (*.f64 #s(approx (- (* (/ (* y x) z) 3) 1) (fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) z))
(*.f64 #s(approx (- (* (/ (* y x) z) 3) 1) (fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) z)
#s(approx (- (* (/ (* y x) z) 3) 1) (fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 x z)
x
z
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
#s(literal -1 binary64)
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
y
Outputs
#s(approx (- (* (* x 3) y) z) (*.f64 #s(approx (- (* (/ (* y x) z) 3) 1) (fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) z))
#s(approx (- (* (* x 3) y) z) (*.f64 #s(approx (- (* (/ (* y x) z) 3) 1) (fma.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 x z) #s(literal -1 binary64))) z))
(*.f64 #s(approx (- (* (/ (* y x) z) 3) 1) (fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) z)
(*.f64 #s(approx (- (* (/ (* y x) z) 3) 1) (fma.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 x z) #s(literal -1 binary64))) z)
#s(approx (- (* (/ (* y x) z) 3) 1) (fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)))
#s(approx (- (* (/ (* y x) z) 3) 1) (fma.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 x z) #s(literal -1 binary64)))
(fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 x z) #s(literal -1 binary64))
(/.f64 x z)
x
z
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
#s(literal -1 binary64)
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
y

localize77.0ms (1.5%)

Memory
-11.7MiB live, 86.0MiB allocated; 11ms collecting garbage
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal 3 binary64) x)
accuracy0.1953125
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
accuracy30.477422650317365
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
accuracy0.0
#s(approx (- (* (/ (* y x) z) 3) 1) (fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)))
accuracy0.0
#s(approx (- (* (* x 3) y) z) (*.f64 #s(approx (- (* (/ (* y x) z) 3) 1) (fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) z))
accuracy3.561948412286007
(fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))
accuracy5.293279100311667
(*.f64 #s(approx (- (* (/ (* y x) z) 3) 1) (fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) z)
Samples
40.0ms256×0valid
Compiler

Compiled 67 to 22 computations (67.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 20.0ms (71.3% of total)
ival-div: 3.0ms (10.7% of total)
ival-sub: 2.0ms (7.1% of total)
ival-add: 1.0ms (3.6% 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)

series7.0ms (0.1%)

Memory
26.2MiB live, 26.2MiB allocated; 0ms collecting garbage
Counts
7 → 19
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (*.f64 #s(approx (- (* (/ (* y x) z) 3) 1) (fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) z))
(*.f64 #s(approx (- (* (/ (* y x) z) 3) 1) (fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) z)
#s(approx (- (* (/ (* y x) z) 3) 1) (fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.f64 #s(literal 3 binary64) x)
Outputs
(* -1 z)
(- (* 3 (* x y)) z)
(+ (* -1 z) (* 3 (* x y)))
-1
(- (* 3 (/ (* x y) z)) 1)
(* 3 (* x y))
(* 3 x)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (/ (* x y) z))
(* x (- (* 3 (/ y z)) (/ 1 x)))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 (/ y z)) (/ 1 x))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (- (* 3 (/ x z)) (/ 1 y)))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 (/ x z)) (/ 1 y))))
(/ (+ (* -1 z) (* 3 (* x y))) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((- (* (* x 3) y) z) (* (- (* (/ (* y x) z) 3) 1) z) (- (* (/ (* y x) z) 3) 1) (+ (* (/ x z) (* y 3)) -1) (- (* (* x 3) y) z) (* (* 3 x) y) (* 3 x))
1.0ms
x
@-inf
((- (* (* x 3) y) z) (* (- (* (/ (* y x) z) 3) 1) z) (- (* (/ (* y x) z) 3) 1) (+ (* (/ x z) (* y 3)) -1) (- (* (* x 3) y) z) (* (* 3 x) y) (* 3 x))
1.0ms
x
@0
((- (* (* x 3) y) z) (* (- (* (/ (* y x) z) 3) 1) z) (- (* (/ (* y x) z) 3) 1) (+ (* (/ x z) (* y 3)) -1) (- (* (* x 3) y) z) (* (* 3 x) y) (* 3 x))
1.0ms
y
@-inf
((- (* (* x 3) y) z) (* (- (* (/ (* y x) z) 3) 1) z) (- (* (/ (* y x) z) 3) 1) (+ (* (/ x z) (* y 3)) -1) (- (* (* x 3) y) z) (* (* 3 x) y) (* 3 x))
1.0ms
y
@inf
((- (* (* x 3) y) z) (* (- (* (/ (* y x) z) 3) 1) z) (- (* (/ (* y x) z) 3) 1) (+ (* (/ x z) (* y 3)) -1) (- (* (* x 3) y) z) (* (* 3 x) y) (* 3 x))

simplify108.0ms (2.2%)

Memory
14.6MiB live, 199.8MiB allocated; 22ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057128
1174128
2605128
31626128
44346128
57323128
08167122
Stop Event
iter limit
node limit
Counts
19 → 19
Calls
Call 1
Inputs
(* -1 z)
(- (* 3 (* x y)) z)
(+ (* -1 z) (* 3 (* x y)))
-1
(- (* 3 (/ (* x y) z)) 1)
(* 3 (* x y))
(* 3 x)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (/ (* x y) z))
(* x (- (* 3 (/ y z)) (/ 1 x)))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 (/ y z)) (/ 1 x))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (- (* 3 (/ x z)) (/ 1 y)))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 (/ x z)) (/ 1 y))))
(/ (+ (* -1 z) (* 3 (* x y))) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
Outputs
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
-1
#s(literal -1 binary64)
(- (* 3 (/ (* x y) z)) 1)
(fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))
(* 3 (* x y))
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* 3 (/ (* x y) z))
(*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64))
(* x (- (* 3 (/ y z)) (/ 1 x)))
(fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))
(* -1 (* x (+ (* -3 y) (/ z x))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* -1 (* x (+ (* -3 (/ y z)) (/ 1 x))))
(fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* y (- (* 3 (/ x z)) (/ 1 y)))
(fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))
(* -1 (* y (+ (* -3 x) (/ z y))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* -1 (* y (+ (* -3 (/ x z)) (/ 1 y))))
(fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))
(/ (+ (* -1 z) (* 3 (* x y))) z)
(fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))

rewrite251.0ms (5%)

Memory
6.4MiB live, 289.4MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02295
02995
19395
255992
3629092
0815992
Stop Event
iter limit
node limit
iter limit
Counts
7 → 162
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (*.f64 #s(approx (- (* (/ (* y x) z) 3) 1) (fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) z))
(*.f64 #s(approx (- (* (/ (* y x) z) 3) 1) (fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) z)
#s(approx (- (* (/ (* y x) z) 3) 1) (fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.f64 #s(literal 3 binary64) x)
Outputs
#s(approx (- (* (* x 3) y) z) (*.f64 #s(approx (- (* (/ (* y x) z) 3) 1) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal -1 binary64))) z))
(*.f64 #s(approx (- (* (/ (* y x) z) 3) 1) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal -1 binary64))) z)
(*.f64 z #s(approx (- (* (/ (* y x) z) 3) 1) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal -1 binary64))))
#s(approx (- (* (/ (* y x) z) 3) 1) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal -27 binary64) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 y x) z) (-.f64 (*.f64 #s(literal 9 binary64) (/.f64 (*.f64 y x) z)) #s(literal -3 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal -27 binary64) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal -27 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z)) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64))) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal -1 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 2 binary64)) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64))) #s(literal 9 binary64) (pow.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 (*.f64 y x) z) (-.f64 (*.f64 #s(literal 9 binary64) (/.f64 (*.f64 y x) z)) #s(literal -3 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 y x) z) (-.f64 (*.f64 #s(literal 9 binary64) (/.f64 (*.f64 y x) z)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)))
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(fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 3/2 binary64)) (fma.f64 (/.f64 (*.f64 y x) z) (-.f64 (*.f64 #s(literal 9 binary64) (/.f64 (*.f64 y x) z)) #s(literal -3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 y x) z) (-.f64 (*.f64 #s(literal 9 binary64) (/.f64 (*.f64 y x) z)) #s(literal -3 binary64)) #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 (*.f64 y x) z) (-.f64 (*.f64 #s(literal 9 binary64) (/.f64 (*.f64 y x) z)) #s(literal -3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 y x) z) (-.f64 (*.f64 #s(literal 9 binary64) (/.f64 (*.f64 y x) z)) #s(literal -3 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal 27 binary64) (/.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 y x) z) (-.f64 (*.f64 #s(literal 9 binary64) (/.f64 (*.f64 y x) z)) #s(literal -3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 y x) z) (-.f64 (*.f64 #s(literal 9 binary64) (/.f64 (*.f64 y x) z)) #s(literal -3 binary64)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 y x) z) (-.f64 (*.f64 #s(literal 9 binary64) (/.f64 (*.f64 y x) z)) #s(literal -3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 y x) z) (-.f64 (*.f64 #s(literal 9 binary64) (/.f64 (*.f64 y x) z)) #s(literal -3 binary64)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (/.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 y x) z) (-.f64 (*.f64 #s(literal 9 binary64) (/.f64 (*.f64 y x) z)) #s(literal -3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 y x) z) (-.f64 (*.f64 #s(literal 9 binary64) (/.f64 (*.f64 y x) z)) #s(literal -3 binary64)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 y x) z) (-.f64 (*.f64 #s(literal 9 binary64) (/.f64 (*.f64 y x) z)) #s(literal -3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 y x) z) (-.f64 (*.f64 #s(literal 9 binary64) (/.f64 (*.f64 y x) z)) #s(literal -3 binary64)) #s(literal 1 binary64))))
(fma.f64 (neg.f64 x) (/.f64 (*.f64 y #s(literal 3 binary64)) (neg.f64 z)) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (*.f64 y (/.f64 #s(literal 3 binary64) z)) #s(literal -1 binary64))
(fma.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal 3 binary64) (neg.f64 z)) #s(literal -1 binary64))
(fma.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal 3 binary64) z) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y z) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 3 binary64) x) (neg.f64 (/.f64 y z)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z)) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 (/.f64 x z) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal -1 binary64))
(fma.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 (neg.f64 x) z) #s(literal -1 binary64))
(fma.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 x z) #s(literal -1 binary64))
(fma.f64 (/.f64 x z) (*.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 x z) (*.f64 #s(literal -3 binary64) y) #s(literal -1 binary64))
(fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (*.f64 y x) z) (-.f64 (*.f64 #s(literal 9 binary64) (/.f64 (*.f64 y x) z)) #s(literal -3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 y x) z) (-.f64 (*.f64 #s(literal 9 binary64) (/.f64 (*.f64 y x) z)) #s(literal -3 binary64)) #s(literal 1 binary64))))
(fma.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 y x) (*.f64 (/.f64 #s(literal 3 binary64) z) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 y x) (*.f64 (/.f64 #s(literal 3 binary64) z) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 y x) (neg.f64 (/.f64 #s(literal 3 binary64) z)) #s(literal -1 binary64))
(fma.f64 (*.f64 y x) (/.f64 #s(literal 3 binary64) z) #s(literal -1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))
(fma.f64 y (*.f64 #s(literal 3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))) #s(literal -1 binary64))
(fma.f64 y (*.f64 (*.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 y (*.f64 (/.f64 x z) #s(literal -3 binary64)) #s(literal -1 binary64))
(fma.f64 y (*.f64 (*.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 y (neg.f64 (*.f64 (/.f64 x z) #s(literal 3 binary64))) #s(literal -1 binary64))
(fma.f64 y (*.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 3 binary64) (*.f64 y (*.f64 #s(literal -1 binary64) (/.f64 x z))) #s(literal -1 binary64))
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 y x) z) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 (neg.f64 x) z) y) #s(literal -1 binary64))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 y x) z) #s(literal -1 binary64))
(fma.f64 x (*.f64 (*.f64 y (/.f64 #s(literal 3 binary64) z)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 x (*.f64 (/.f64 y z) #s(literal -3 binary64)) #s(literal -1 binary64))
(fma.f64 x (*.f64 (*.f64 y (/.f64 #s(literal 3 binary64) z)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 x (*.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 x (neg.f64 (*.f64 y (/.f64 #s(literal 3 binary64) z))) #s(literal -1 binary64))
(fma.f64 x (*.f64 y (/.f64 #s(literal 3 binary64) z)) #s(literal -1 binary64))
(-.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal -1 binary64))))
(-.f64 (*.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 2 binary64)) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (*.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 (*.f64 y x) z) (-.f64 (*.f64 #s(literal 9 binary64) (/.f64 (*.f64 y x) z)) #s(literal -3 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (/.f64 (*.f64 y x) z) (-.f64 (*.f64 #s(literal 9 binary64) (/.f64 (*.f64 y x) z)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z)))
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)))
(-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 y x) z) (-.f64 (*.f64 #s(literal 9 binary64) (/.f64 (*.f64 y x) z)) #s(literal -3 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 (*.f64 y x) z) (-.f64 (*.f64 #s(literal 9 binary64) (/.f64 (*.f64 y x) z)) #s(literal -3 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 (*.f64 y x) z) (-.f64 (*.f64 #s(literal 9 binary64) (/.f64 (*.f64 y x) z)) #s(literal -3 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 y x) z) (-.f64 (*.f64 #s(literal 9 binary64) (/.f64 (*.f64 y x) z)) #s(literal -3 binary64)) #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) y)) (/.f64 x z)))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z)))
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal -1 binary64))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
(*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 1 binary64))
(*.f64 y (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 y x) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(*.f64 x (*.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 x (*.f64 y #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))

eval106.0ms (2.1%)

Memory
-36.7MiB live, 64.2MiB allocated; 14ms collecting garbage
Compiler

Compiled 6 572 to 818 computations (87.6% saved)

prune7.0ms (0.1%)

Memory
19.6MiB live, 19.6MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1673170
Fresh000
Picked112
Done224
Total1706176
Accuracy
100.0%
Counts
176 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
52.2%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
52.2%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
52.2%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
44.0%
#s(approx (- (* (* x 3) y) z) (*.f64 #s(approx (- (* (/ (* y x) z) 3) 1) (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64))) z))
49.4%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 253 to 121 computations (52.2% saved)

regimes24.0ms (0.5%)

Memory
8.8MiB live, 54.2MiB allocated; 4ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
#s(approx (- (* (* x 3) y) z) (*.f64 #s(approx (- (* (/ (* y x) z) 3) 1) (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64))) z))
#s(approx (- (* (* x 3) y) z) (*.f64 #s(approx (- (* (/ (* y x) z) 3) 1) (fma.f64 (/.f64 x z) (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) z))
#s(approx (- (* (* x 3) y) z) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64)) #s(literal 1 binary64)) z))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
Outputs
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
Calls

6 calls:

6.0ms
y
4.0ms
z
3.0ms
(*.f64 x #s(literal 3 binary64))
3.0ms
x
3.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Results
AccuracySegmentsBranch
99.9%1(*.f64 x #s(literal 3 binary64))
99.9%1(*.f64 (*.f64 x #s(literal 3 binary64)) y)
99.9%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
99.9%1x
99.9%1y
99.9%1z
Compiler

Compiled 18 to 27 computations (-50% saved)

regimes17.0ms (0.3%)

Memory
-7.4MiB live, 35.9MiB allocated; 6ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Outputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Calls

6 calls:

6.0ms
y
2.0ms
z
2.0ms
x
2.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
2.0ms
(*.f64 x #s(literal 3 binary64))
Results
AccuracySegmentsBranch
99.8%1(*.f64 x #s(literal 3 binary64))
99.8%1(*.f64 (*.f64 x #s(literal 3 binary64)) y)
99.8%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
99.8%1x
99.8%1y
99.8%1z
Compiler

Compiled 18 to 27 computations (-50% saved)

regimes19.0ms (0.4%)

Memory
-18.4MiB live, 33.3MiB allocated; 14ms collecting garbage
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
Outputs
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
Calls

6 calls:

9.0ms
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
2.0ms
z
2.0ms
(*.f64 x #s(literal 3 binary64))
2.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
2.0ms
x
Results
AccuracySegmentsBranch
76.9%3(*.f64 x #s(literal 3 binary64))
83.6%3(*.f64 (*.f64 x #s(literal 3 binary64)) y)
63.2%3(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
76.9%3x
75.3%3y
70.4%3z
Compiler

Compiled 18 to 27 computations (-50% saved)

regimes2.0ms (0%)

Memory
8.3MiB live, 8.3MiB allocated; 0ms collecting garbage
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
Outputs
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
Calls

1 calls:

1.0ms
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Results
AccuracySegmentsBranch
83.6%3(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Compiler

Compiled 5 to 6 computations (-20% saved)

regimes11.0ms (0.2%)

Memory
-7.5MiB live, 33.0MiB allocated; 7ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

6 calls:

6.0ms
z
1.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
1.0ms
(*.f64 x #s(literal 3 binary64))
1.0ms
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
1.0ms
y
Results
AccuracySegmentsBranch
49.4%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
49.4%1z
49.4%1y
49.4%1(*.f64 x #s(literal 3 binary64))
49.4%1x
49.4%1(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Compiler

Compiled 18 to 27 computations (-50% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.7328381732764905e-79
1.2919822338381114e-78
0.0ms
-6.708173332568761e-67
-9.618050731056139e-68
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.7328381732764905e-79
1.2919822338381114e-78
0.0ms
-6.708173332568761e-67
-9.618050731056139e-68
Compiler

Compiled 10 to 13 computations (-30% saved)

simplify11.0ms (0.2%)

Memory
37.8MiB live, 37.8MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027104
142104
250104
352104
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -3794275180128377/7588550360256754183279148073529370729071901715047420004889892225542594864082845696 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 1668739871813211/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x))))
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -3794275180128377/7588550360256754183279148073529370729071901715047420004889892225542594864082845696 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 1668739871813211/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Outputs
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -3794275180128377/7588550360256754183279148073529370729071901715047420004889892225542594864082845696 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 1668739871813211/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x))))
(if (or (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -3794275180128377/7588550360256754183279148073529370729071901715047420004889892225542594864082845696 binary64)) (not (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 1668739871813211/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)))) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)))
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -3794275180128377/7588550360256754183279148073529370729071901715047420004889892225542594864082845696 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 1668739871813211/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))))
(if (or (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -3794275180128377/7588550360256754183279148073529370729071901715047420004889892225542594864082845696 binary64)) (not (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 1668739871813211/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)))) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))

derivations853.0ms (17.1%)

Memory
-29.0MiB live, 632.1MiB allocated; 201ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02295
02995
19395
255992
3629092
0815992
0715
01015
12615
216415
3175815
0873114
03866
112166
240266
3111766
4303866
5489266
6596966
7617966
8710966
0852766
07112907
123232783
084242619
057130
1174130
2605130
31626130
44378130
57346130
08021124
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 104 to 28 computations (73.1% saved)

preprocess55.0ms (1.1%)

Memory
0.6MiB live, 151.1MiB allocated; 18ms collecting garbage
Remove

(sort x y)

Compiler

Compiled 264 to 112 computations (57.6% saved)

end0.0ms (0%)

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

Profiling

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