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

Time bar (total: 5.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 9 computations (0% saved)

sample1.1s (19.5%)

Memory
44.5MiB live, 1 074.1MiB allocated
Samples
888.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 182.0ms
ival-mult: 125.0ms (68.7% of total)
ival-sub: 42.0ms (23.1% of total)
ival-true: 7.0ms (3.8% of total)
exact: 5.0ms (2.7% of total)
ival-assert: 3.0ms (1.6% of total)
Bogosity

explain101.0ms (1.8%)

Memory
-34.9MiB live, 154.7MiB allocated
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
25.0ms512×0valid
Compiler

Compiled 49 to 25 computations (49% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (66.3% of total)
ival-sub: 2.0ms (18.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess17.0ms (0.3%)

Memory
31.2MiB live, 31.2MiB allocated
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
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Compiler

Compiled 7 to 7 computations (0% saved)

simplify4.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated
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

localize20.0ms (0.3%)

Memory
-3.2MiB live, 42.2MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x #s(literal 3 binary64))
accuracy0.0078125
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
accuracy0.1796875
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Samples
13.0ms256×0valid
Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (56.4% of total)
ival-sub: 1.0ms (18.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
-31.5MiB live, 14.7MiB allocated
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
2.0ms
y
@-inf
((- (* (* x 3) y) z) (* (* x 3) y) (* x 3))
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))

simplify142.0ms (2.5%)

Memory
11.8MiB live, 150.9MiB allocated
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))

rewrite348.0ms (6%)

Memory
9.3MiB live, 307.7MiB allocated
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 y (*.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.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))

eval34.0ms (0.6%)

Memory
-21.4MiB live, 80.1MiB allocated
Compiler

Compiled 8 430 to 627 computations (92.6% saved)

prune5.0ms (0.1%)

Memory
18.9MiB live, 18.9MiB allocated
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
99.8%
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
99.8%
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
99.9%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
61.3%
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64))) z)
49.7%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 46 to 42 computations (8.7% saved)

simplify348.0ms (6%)

Memory
-18.7MiB live, 27.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
023119
038119
152119
278119
3127119
4224119
5603119
61545119
71999119
82037119
92037119
102037119
02037119
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
z
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64))) z)
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x))
(*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y)
(*.f64 y (*.f64 #s(literal 3 binary64) x))
y
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
(sqrt.f64 #s(literal 3 binary64))
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
Outputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
z
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64))) z)
(-.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) y) x))) z)
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) y) x)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x))
(sqrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) y) x))
(*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) y) x)
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y)
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) y)
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
y
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
(sqrt.f64 #s(literal 3 binary64))
z
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
(-.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) z)
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.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 #s(literal 3 binary64) x) y) z)
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.f64 y x)
y
x
#s(literal 3 binary64)
z

localize65.0ms (1.1%)

Memory
-0.1MiB live, 96.3MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y x)
accuracy0.0078125
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
accuracy0.20703125
(*.f64 (*.f64 y x) #s(literal 3 binary64))
accuracy0.0
(*.f64 y #s(literal 3 binary64))
accuracy0.0078125
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
accuracy0.17578125
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
accuracy0.1796875
(*.f64 y (*.f64 #s(literal 3 binary64) x))
accuracy0.27572250976844204
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64)))
accuracy4.06007890389503
(*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)
accuracy18.1586550132247
(sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x))
accuracy0.0
(neg.f64 z)
accuracy32.16195039896505
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Samples
50.0ms256×0valid
Compiler

Compiled 118 to 24 computations (79.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 21.0ms (67.7% of total)
ival-sub: 5.0ms (16.1% of total)
ival-sqrt: 3.0ms (9.7% of total)
ival-neg: 1.0ms (3.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory
32.3MiB live, 32.3MiB allocated
Counts
13 → 25
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64))) z)
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x))
(*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)
(-.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)
(*.f64 y (*.f64 #s(literal 3 binary64) x))
Outputs
(* -1 z)
(- (* 3 (* x y)) z)
(- (* x (* y (pow (sqrt 3) 2))) z)
(* x (* y (pow (sqrt 3) 2)))
(* x (* y (sqrt 3)))
(* 3 (* (pow x 2) (pow y 2)))
(* 3 (* x y))
(* x y)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* y (pow (sqrt 3) 2))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (* y (pow (sqrt 3) 2))))
(* -1 (* x (+ (* y (pow (sqrt 3) 2)) (/ z x))))
(* -1 (* x (* y (sqrt 3))))
(* 3 y)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* x (pow (sqrt 3) 2))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* x (pow (sqrt 3) 2)) (/ z y))))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* x (* y (pow (sqrt 3) 2))))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (/ (* x (* y (pow (sqrt 3) 2))) z) 1))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x (* y (pow (sqrt 3) 2))) z)))))
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((- (* (* x 3) y) z) (neg z) (- (* (sqrt (* (* (* y (* 3 x)) y) x)) (sqrt 3)) z) (* (sqrt (* (* (* y (* 3 x)) y) x)) (sqrt 3)) (sqrt (* (* (* y (* 3 x)) y) x)) (* (* (* y (* 3 x)) y) x) (- (* (* y 3) x) z) (* (* y 3) x) (* y 3) (- (* (* y x) 3) z) (* (* y x) 3) (* y x) (* y (* 3 x)))
3.0ms
x
@0
((- (* (* x 3) y) z) (neg z) (- (* (sqrt (* (* (* y (* 3 x)) y) x)) (sqrt 3)) z) (* (sqrt (* (* (* y (* 3 x)) y) x)) (sqrt 3)) (sqrt (* (* (* y (* 3 x)) y) x)) (* (* (* y (* 3 x)) y) x) (- (* (* y 3) x) z) (* (* y 3) x) (* y 3) (- (* (* y x) 3) z) (* (* y x) 3) (* y x) (* y (* 3 x)))
3.0ms
y
@inf
((- (* (* x 3) y) z) (neg z) (- (* (sqrt (* (* (* y (* 3 x)) y) x)) (sqrt 3)) z) (* (sqrt (* (* (* y (* 3 x)) y) x)) (sqrt 3)) (sqrt (* (* (* y (* 3 x)) y) x)) (* (* (* y (* 3 x)) y) x) (- (* (* y 3) x) z) (* (* y 3) x) (* y 3) (- (* (* y x) 3) z) (* (* y x) 3) (* y x) (* y (* 3 x)))
3.0ms
y
@0
((- (* (* x 3) y) z) (neg z) (- (* (sqrt (* (* (* y (* 3 x)) y) x)) (sqrt 3)) z) (* (sqrt (* (* (* y (* 3 x)) y) x)) (sqrt 3)) (sqrt (* (* (* y (* 3 x)) y) x)) (* (* (* y (* 3 x)) y) x) (- (* (* y 3) x) z) (* (* y 3) x) (* y 3) (- (* (* y x) 3) z) (* (* y x) 3) (* y x) (* y (* 3 x)))
2.0ms
y
@-inf
((- (* (* x 3) y) z) (neg z) (- (* (sqrt (* (* (* y (* 3 x)) y) x)) (sqrt 3)) z) (* (sqrt (* (* (* y (* 3 x)) y) x)) (sqrt 3)) (sqrt (* (* (* y (* 3 x)) y) x)) (* (* (* y (* 3 x)) y) x) (- (* (* y 3) x) z) (* (* y 3) x) (* y 3) (- (* (* y x) 3) z) (* (* y x) 3) (* y x) (* y (* 3 x)))

simplify172.0ms (3%)

Memory
-1.8MiB live, 224.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
071173
1228163
2799163
32242157
44809157
56993157
08004157
Stop Event
iter limit
node limit
Counts
25 → 25
Calls
Call 1
Inputs
(* -1 z)
(- (* 3 (* x y)) z)
(- (* x (* y (pow (sqrt 3) 2))) z)
(* x (* y (pow (sqrt 3) 2)))
(* x (* y (sqrt 3)))
(* 3 (* (pow x 2) (pow y 2)))
(* 3 (* x y))
(* x y)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* y (pow (sqrt 3) 2))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (* y (pow (sqrt 3) 2))))
(* -1 (* x (+ (* y (pow (sqrt 3) 2)) (/ z x))))
(* -1 (* x (* y (sqrt 3))))
(* 3 y)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* x (pow (sqrt 3) 2))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* x (pow (sqrt 3) 2)) (/ z y))))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* x (* y (pow (sqrt 3) 2))))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (/ (* x (* y (pow (sqrt 3) 2))) z) 1))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x (* y (pow (sqrt 3) 2))) z)))))
Outputs
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(- (* x (* y (pow (sqrt 3) 2))) z)
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* x (* y (pow (sqrt 3) 2)))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* x (* y (sqrt 3)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) y) x)
(* 3 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) x)
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* x y)
(*.f64 y x)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* x (+ (* -1 (/ z x)) (* y (pow (sqrt 3) 2))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* -1 (* x (+ (* -3 y) (/ z x))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* -1 (* x (* y (pow (sqrt 3) 2))))
(*.f64 (*.f64 #s(literal -3 binary64) x) y)
(* -1 (* x (+ (* y (pow (sqrt 3) 2)) (/ z x))))
(fma.f64 (*.f64 #s(literal -3 binary64) x) y (neg.f64 z))
(* -1 (* x (* y (sqrt 3))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) x) (neg.f64 y))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* y (+ (* -1 (/ z y)) (* x (pow (sqrt 3) 2))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* -1 (* y (+ (* -3 x) (/ z y))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* -1 (* y (+ (* x (pow (sqrt 3) 2)) (/ z y))))
(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 z) (* x (* y (pow (sqrt 3) 2))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* z (- (/ (* x (* y (pow (sqrt 3) 2))) 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))
(* -1 (* z (+ 1 (* -1 (/ (* x (* y (pow (sqrt 3) 2))) z)))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))

rewrite216.0ms (3.7%)

Memory
17.8MiB live, 252.1MiB allocated
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02394
03899
110987
244577
3406974
0857274
Stop Event
iter limit
node limit
iter limit
Counts
13 → 514
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64))) z)
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x))
(*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)
(-.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)
(*.f64 y (*.f64 #s(literal 3 binary64) x))
Outputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))) (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 #s(literal 3 binary64) x) y)))))
(*.f64 (/.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 6 binary64)) #s(literal 729 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 y x) #s(literal 3 binary64) 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 (*.f64 y x) #s(literal 3 binary64) z) z) (-.f64 (*.f64 (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))))))
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) z))
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(*.f64 (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) z) (fma.f64 (*.f64 y x) #s(literal 3 binary64) z)))
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(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)) (sqrt.f64 y))
(*.f64 (sqrt.f64 (*.f64 y #s(literal 3 binary64))) (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) x)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) x)) (sqrt.f64 (*.f64 y #s(literal 3 binary64))))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) x)) (*.f64 (pow.f64 y #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 3 binary64) x))))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 9 binary64))) (sqrt.f64 x))
(*.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 1 binary64)))))
(*.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))))
(*.f64 (*.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 y x))) (*.f64 (*.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 y x))) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y x))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x))) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x))))
(*.f64 (*.f64 (pow.f64 y #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 3 binary64) x))) (sqrt.f64 (*.f64 #s(literal 3 binary64) x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 9 binary64))))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(*.f64 (sqrt.f64 #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 1 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 1 binary64))) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) (exp.f64 (log.f64 (*.f64 y x))))
(*.f64 #s(literal 3 binary64) (fabs.f64 (*.f64 y x)))
(*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(*.f64 x (*.f64 y #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 (*.f64 y x)) (log.f64 #s(literal 9 binary64))))
(pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)))
(fabs.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y))
(exp.f64 (fma.f64 (log.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y)) #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (*.f64 y x)) (log.f64 #s(literal 9 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y)))
(+.f64 (cosh.f64 (log.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y))) (sinh.f64 (log.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y))))

eval31.0ms (0.5%)

Memory
-19.1MiB live, 79.1MiB allocated
Compiler

Compiled 4 466 to 794 computations (82.2% saved)

prune5.0ms (0.1%)

Memory
20.1MiB live, 20.1MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New2171218
Fresh000
Picked134
Done011
Total2185223
Accuracy
100.0%
Counts
223 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(-.f64 (*.f64 (*.f64 y x) #s(literal 3 binary64)) z)
99.8%
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
99.9%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
55.0%
(-.f64 (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y x)))) z)
49.7%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 44 to 40 computations (9.1% saved)

simplify7.0ms (0.1%)

Memory
-30.9MiB live, 14.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
(sqrt.f64 (*.f64 y x))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y x))))
cost-diff0
(-.f64 (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y x)))) z)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01046
01646
12146
22846
33046
03046
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y x)))) z)
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y x))))
(sqrt.f64 (*.f64 y x))
(*.f64 y x)
y
x
(sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y x)))
(*.f64 #s(literal 9 binary64) (*.f64 y x))
#s(literal 9 binary64)
z
Outputs
(-.f64 (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y x)))) z)
(-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y))) (sqrt.f64 (*.f64 x y))) z)
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y x))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y))) (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (*.f64 y x))
(sqrt.f64 (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
(sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y x)))
(sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)))
(*.f64 #s(literal 9 binary64) (*.f64 y x))
(*.f64 #s(literal 9 binary64) (*.f64 x y))
#s(literal 9 binary64)
z

localize28.0ms (0.5%)

Memory
18.0MiB live, 62.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.07650375976844201
(*.f64 #s(literal 9 binary64) (*.f64 y x))
accuracy0.11328125
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y x))))
accuracy5.691185855354586
(sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y x)))
accuracy5.71230024630732
(sqrt.f64 (*.f64 y x))
Samples
10.0ms136×0invalid
8.0ms120×0valid
Compiler

Compiled 48 to 12 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 5.0ms (51.9% of total)
ival-sqrt: 3.0ms (31.2% of total)
ival-sub: 1.0ms (10.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series30.0ms (0.5%)

Memory
-17.7MiB live, 27.8MiB allocated
Counts
6 → 17
Calls
Call 1
Inputs
(-.f64 (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y x)))) z)
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y x))))
(sqrt.f64 (*.f64 y x))
(*.f64 y x)
(sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y x)))
(*.f64 #s(literal 9 binary64) (*.f64 y x))
Outputs
(* -1 z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(sqrt (* x y))
(* x y)
(* 3 (sqrt (* x y)))
(* 9 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* -1 (* x (* y (* (sqrt -9) (sqrt -1)))))
(* -1 (* x (+ (* y (* (sqrt -9) (sqrt -1))) (/ z x))))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* x y)) (* (sqrt -9) (sqrt -1))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* -1 (* y (+ (* x (* (sqrt -9) (sqrt -1))) (/ z y))))
(+ (* -1 z) (* 3 (* x y)))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
Calls

9 calls:

TimeVariablePointExpression
20.0ms
y
@-inf
((- (* (sqrt (* y x)) (sqrt (* 9 (* y x)))) z) (* (sqrt (* y x)) (sqrt (* 9 (* y x)))) (sqrt (* y x)) (* y x) (sqrt (* 9 (* y x))) (* 9 (* y x)))
3.0ms
y
@0
((- (* (sqrt (* y x)) (sqrt (* 9 (* y x)))) z) (* (sqrt (* y x)) (sqrt (* 9 (* y x)))) (sqrt (* y x)) (* y x) (sqrt (* 9 (* y x))) (* 9 (* y x)))
3.0ms
x
@-inf
((- (* (sqrt (* y x)) (sqrt (* 9 (* y x)))) z) (* (sqrt (* y x)) (sqrt (* 9 (* y x)))) (sqrt (* y x)) (* y x) (sqrt (* 9 (* y x))) (* 9 (* y x)))
1.0ms
x
@0
((- (* (sqrt (* y x)) (sqrt (* 9 (* y x)))) z) (* (sqrt (* y x)) (sqrt (* 9 (* y x)))) (sqrt (* y x)) (* y x) (sqrt (* 9 (* y x))) (* 9 (* y x)))
1.0ms
x
@inf
((- (* (sqrt (* y x)) (sqrt (* 9 (* y x)))) z) (* (sqrt (* y x)) (sqrt (* 9 (* y x)))) (sqrt (* y x)) (* y x) (sqrt (* 9 (* y x))) (* 9 (* y x)))

simplify156.0ms (2.7%)

Memory
16.9MiB live, 302.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054120
1165120
2534120
31471116
43862116
56610116
08036114
Stop Event
iter limit
node limit
Counts
17 → 17
Calls
Call 1
Inputs
(* -1 z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(sqrt (* x y))
(* x y)
(* 3 (sqrt (* x y)))
(* 9 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* -1 (* x (* y (* (sqrt -9) (sqrt -1)))))
(* -1 (* x (+ (* y (* (sqrt -9) (sqrt -1))) (/ z x))))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* x y)) (* (sqrt -9) (sqrt -1))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* -1 (* y (+ (* x (* (sqrt -9) (sqrt -1))) (/ 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) x) y (neg.f64 z))
(* 3 (* x y))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(sqrt (* x y))
(sqrt.f64 (*.f64 x y))
(* x y)
(*.f64 x y)
(* 3 (sqrt (* x y)))
(*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(* 9 (* x y))
(*.f64 #s(literal 9 binary64) (*.f64 x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* -1 (* x (* y (* (sqrt -9) (sqrt -1)))))
(*.f64 (*.f64 (neg.f64 x) y) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))))
(* -1 (* x (+ (* y (* (sqrt -9) (sqrt -1))) (/ z x))))
(neg.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) (*.f64 (sqrt.f64 #s(literal -9 binary64)) x) z))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 x y))
(* -1 (* (sqrt (* x y)) (* (sqrt -9) (sqrt -1))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -9 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 x y))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* -1 (* y (+ (* x (* (sqrt -9) (sqrt -1))) (/ z y))))
(neg.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) (*.f64 (sqrt.f64 #s(literal -9 binary64)) x) z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(* 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))

rewrite201.0ms (3.5%)

Memory
-13.4MiB live, 331.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01042
01640
14440
222230
3214130
0958729
Stop Event
iter limit
node limit
iter limit
Counts
6 → 454
Calls
Call 1
Inputs
(-.f64 (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y x)))) z)
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y x))))
(sqrt.f64 (*.f64 y x))
(*.f64 y x)
(sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y x)))
(*.f64 #s(literal 9 binary64) (*.f64 y x))
Outputs
(*.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z)))
(*.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 #s(literal 729 binary64) (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) #s(literal 81 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) #s(literal 2 binary64))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) #s(literal 2 binary64)) (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z)))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)))
(*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z)) (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z)))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z (/.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (*.f64 z (/.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)))))))
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(*.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y))))) (sqrt.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y))))))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y))))
(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 y))
(*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y))) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (fabs.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 3 binary64))))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y))))))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (fabs.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 y) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 y) (fabs.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y))))
(pow.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) #s(literal 1/2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y))))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y))))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y))))) (cosh.f64 (log.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y))))) (-.f64 (*.f64 (sinh.f64 (log.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y))))) (sinh.f64 (log.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y)))))) (*.f64 (cosh.f64 (log.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y))))) (sinh.f64 (log.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y)))))))))
(sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)))
(fabs.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y)))))
(fabs.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y))))
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y))) #s(literal 1/4 binary64) (*.f64 (log.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y))) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 9 binary64) y)) #s(literal 1/2 binary64) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (*.f64 (log.f64 (*.f64 #s(literal 9 binary64) y)) #s(literal 1/2 binary64))))
(exp.f64 (/.f64 (log.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y)))))
(+.f64 (cosh.f64 (log.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y))))) (sinh.f64 (log.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y))))))
(*.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y))))) (neg.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y))))))
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 9 binary64) x))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 #s(literal 9 binary64))) (*.f64 x y))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 #s(literal 9 binary64) x))))
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 9 binary64) y))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (*.f64 #s(literal 9 binary64) y))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) (*.f64 #s(literal 9 binary64) y))) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)) (sqrt.f64 (*.f64 x y)))
(*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y)))) (neg.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y)))))
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 9 binary64) x) y)
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) #s(literal 3/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) (*.f64 x (*.f64 (sqrt.f64 y) #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal 9 binary64) y) x)
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x y)))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x y)) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y))))
(*.f64 #s(literal 9 binary64) (*.f64 x y))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y)))))
(*.f64 (*.f64 x y) (exp.f64 (log.f64 #s(literal 9 binary64))))
(*.f64 (*.f64 x y) #s(literal 9 binary64))
(*.f64 x (*.f64 #s(literal 9 binary64) y))
(*.f64 y (*.f64 #s(literal 9 binary64) x))
(pow.f64 (*.f64 (*.f64 #s(literal 9 binary64) y) (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) y) (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) x)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y))))
(+.f64 (cosh.f64 (log.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)))) (sinh.f64 (log.f64 (*.f64 #s(literal 9 binary64) (*.f64 x y)))))

eval139.0ms (2.4%)

Memory
15.3MiB live, 151.3MiB allocated
Compiler

Compiled 12 463 to 1 469 computations (88.2% saved)

prune301.0ms (5.2%)

Memory
-23.8MiB live, 31.4MiB allocated
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New4973500
Fresh000
Picked101
Done134
Total4996505
Accuracy
100.0%
Counts
505 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.4%
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
24.4%
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) z)
51.0%
(fma.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (*.f64 x y) z)
99.8%
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
99.9%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
49.7%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 50 to 45 computations (10% saved)

simplify8.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
cost-diff0
(*.f64 x y)
cost-diff0
(sqrt.f64 (*.f64 x y))
cost-diff0
(*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y)))
cost-diff6
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) z)
cost-diff0
(*.f64 x y)
cost-diff0
(log.f64 #s(literal 3 binary64))
cost-diff0
(fma.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (*.f64 x y) z)
cost-diff2
(exp.f64 (log.f64 #s(literal 3 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01262
02352
14052
27552
315252
422952
526752
026752
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (*.f64 x y) z)
(exp.f64 (log.f64 #s(literal 3 binary64)))
(log.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 x y)
x
y
z
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) z)
(*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y)))
#s(literal 3 binary64)
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
z
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
(*.f64 x y)
x
y
#s(literal 3 binary64)
z
Outputs
(fma.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (*.f64 x y) z)
(fma.f64 (*.f64 y x) #s(literal 3 binary64) z)
(exp.f64 (log.f64 #s(literal 3 binary64)))
#s(literal 3 binary64)
(log.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 x y)
(*.f64 y x)
x
y
z
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) z)
(fma.f64 (*.f64 y x) #s(literal 3 binary64) z)
(*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 3 binary64))
#s(literal 3 binary64)
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
z
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
(fma.f64 (*.f64 y x) #s(literal 3 binary64) z)
(*.f64 x y)
(*.f64 y x)
x
y
#s(literal 3 binary64)
z

localize57.0ms (1%)

Memory
30.0MiB live, 75.2MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x y)
accuracy0.0546875
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
accuracy0.0
(*.f64 x y)
accuracy0.05078125
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) z)
accuracy0.1484375
(*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y)))
accuracy5.71230024630732
(sqrt.f64 (*.f64 x y))
accuracy0.0
(*.f64 x y)
accuracy0.0
(log.f64 #s(literal 3 binary64))
accuracy0.0546875
(fma.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (*.f64 x y) z)
accuracy0.46875
(exp.f64 (log.f64 #s(literal 3 binary64)))
Samples
33.0ms136×0invalid
15.0ms120×0valid
Compiler

Compiled 67 to 17 computations (74.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-add: 19.0ms (55.2% of total)
ival-mult: 7.0ms (20.3% of total)
ival-log: 3.0ms (8.7% of total)
ival-exp: 3.0ms (8.7% of total)
ival-sqrt: 2.0ms (5.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory
-30.2MiB live, 16.1MiB allocated
Counts
8 → 17
Calls
Call 1
Inputs
(exp.f64 (log.f64 #s(literal 3 binary64)))
(fma.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (*.f64 x y) z)
(log.f64 #s(literal 3 binary64))
(*.f64 x y)
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) z)
(*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (*.f64 x y))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
Outputs
z
(+ z (* 3 (* x y)))
(* x y)
(* 3 (sqrt (* x y)))
(sqrt (* x y))
(* 3 (* x y))
(* x (+ (* 3 y) (/ z x)))
(* -1 (* x (+ (* -3 y) (* -1 (/ z x)))))
(* -3 (* x (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ z x)) (* 3 (* y (pow (sqrt -1) 2))))))
(* -3 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(* y (+ (* 3 x) (/ z y)))
(* -1 (* y (+ (* -3 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 (/ z y)) (* 3 (* x (pow (sqrt -1) 2))))))
(* z (+ 1 (* 3 (/ (* x y) z))))
(* -1 (* z (- (* -3 (/ (* x y) z)) 1)))
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((exp (log 3)) (+ (* (exp (log 3)) (* x y)) z) (log 3) (* x y) (+ (* (* 3 (sqrt (* x y))) (sqrt (* x y))) z) (* 3 (sqrt (* x y))) (sqrt (* x y)) (+ (* (* x y) 3) z))
2.0ms
y
@-inf
((exp (log 3)) (+ (* (exp (log 3)) (* x y)) z) (log 3) (* x y) (+ (* (* 3 (sqrt (* x y))) (sqrt (* x y))) z) (* 3 (sqrt (* x y))) (sqrt (* x y)) (+ (* (* x y) 3) z))
1.0ms
x
@0
((exp (log 3)) (+ (* (exp (log 3)) (* x y)) z) (log 3) (* x y) (+ (* (* 3 (sqrt (* x y))) (sqrt (* x y))) z) (* 3 (sqrt (* x y))) (sqrt (* x y)) (+ (* (* x y) 3) z))
1.0ms
x
@inf
((exp (log 3)) (+ (* (exp (log 3)) (* x y)) z) (log 3) (* x y) (+ (* (* 3 (sqrt (* x y))) (sqrt (* x y))) z) (* 3 (sqrt (* x y))) (sqrt (* x y)) (+ (* (* x y) 3) z))
1.0ms
y
@inf
((exp (log 3)) (+ (* (exp (log 3)) (* x y)) z) (log 3) (* x y) (+ (* (* 3 (sqrt (* x y))) (sqrt (* x y))) z) (* 3 (sqrt (* x y))) (sqrt (* x y)) (+ (* (* x y) 3) z))

simplify175.0ms (3%)

Memory
1.1MiB live, 180.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05697
118397
266897
3171397
4425097
5672197
0828188
Stop Event
iter limit
node limit
Counts
17 → 16
Calls
Call 1
Inputs
z
(+ z (* 3 (* x y)))
(* x y)
(* 3 (sqrt (* x y)))
(sqrt (* x y))
(* 3 (* x y))
(* x (+ (* 3 y) (/ z x)))
(* -1 (* x (+ (* -3 y) (* -1 (/ z x)))))
(* -3 (* x (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ z x)) (* 3 (* y (pow (sqrt -1) 2))))))
(* -3 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(* y (+ (* 3 x) (/ z y)))
(* -1 (* y (+ (* -3 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 (/ z y)) (* 3 (* x (pow (sqrt -1) 2))))))
(* z (+ 1 (* 3 (/ (* x y) z))))
(* -1 (* z (- (* -3 (/ (* x y) z)) 1)))
Outputs
z
(+ z (* 3 (* x y)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y z)
(* x y)
(*.f64 y x)
(* 3 (sqrt (* x y)))
(*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(sqrt (* x y))
(sqrt.f64 (*.f64 y x))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* x (+ (* 3 y) (/ z x)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y z)
(* -1 (* x (+ (* -3 y) (* -1 (/ z x)))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y z)
(* -3 (* x (* y (pow (sqrt -1) 2))))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* -1 (* x (+ (* -1 (/ z x)) (* 3 (* y (pow (sqrt -1) 2))))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y z)
(* -3 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 y x))
(* y (+ (* 3 x) (/ z y)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y z)
(* -1 (* y (+ (* -3 x) (* -1 (/ z y)))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y z)
(* -1 (* y (+ (* -1 (/ z y)) (* 3 (* x (pow (sqrt -1) 2))))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y z)
(* z (+ 1 (* 3 (/ (* x y) z))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y z)
(* -1 (* z (- (* -3 (/ (* x y) z)) 1)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y z)

rewrite288.0ms (5%)

Memory
36.4MiB live, 271.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01244
02334
18034
243834
3312134
0853534
Stop Event
iter limit
node limit
iter limit
Counts
8 → 633
Calls
Call 1
Inputs
(exp.f64 (log.f64 #s(literal 3 binary64)))
(fma.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (*.f64 x y) z)
(log.f64 #s(literal 3 binary64))
(*.f64 x y)
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) z)
(*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (*.f64 x y))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
Outputs
#s(literal 3 binary64)
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) #s(literal 2 binary64)) (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) #s(literal 2 binary64)) (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) #s(literal 2 binary64))) (fma.f64 #s(literal -3 binary64) (*.f64 y x) 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))) (pow.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64))))
(*.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 #s(literal -3 binary64) (*.f64 y x) z) z) #s(literal 3 binary64)))) (fma.f64 #s(literal 81 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z) (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64))))))
(*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64)))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) (fma.f64 #s(literal -3 binary64) (*.f64 y x) z)))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal -3 binary64) (*.f64 y x) z)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 y x) z)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) (*.f64 (neg.f64 z) z))) (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64))))) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64))))) (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64))) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64))) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64))) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) (*.f64 (neg.f64 z) z))) (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) (*.f64 z z))) (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))) #s(literal 2 binary64))) (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 y x) z)) #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (/.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))) (*.f64 z (/.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 y x) z)))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 9 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64))))))))
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(/.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64)))))
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(neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))
(fma.f64 (fabs.f64 (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 y) x))) (sqrt.f64 y) z)
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(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 y x) z)) (*.f64 z (/.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))))
(fma.f64 #s(literal 3 binary64) (*.f64 y x) z)
(-.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64)))))
(-.f64 (*.f64 z (/.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))))
(-.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))) (*.f64 z (/.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))))
(-.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) z)
(-.f64 z (*.f64 #s(literal -3 binary64) (*.f64 y x)))
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (*.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64))))))
(+.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z) z (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))) (*.f64 z (/.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 y x)) z)
(+.f64 z (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x)) y))
(+.f64 z (*.f64 (neg.f64 (neg.f64 x)) (*.f64 y #s(literal 3 binary64))))
(+.f64 z (*.f64 #s(literal -3 binary64) (*.f64 y x)))

eval106.0ms (1.8%)

Memory
6.0MiB live, 140.4MiB allocated
Compiler

Compiled 9 004 to 1 064 computations (88.2% saved)

prune55.0ms (0.9%)

Memory
4.3MiB live, 46.2MiB allocated
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New4703473
Fresh000
Picked123
Done033
Total4718479
Accuracy
100.0%
Counts
479 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.4%
(fma.f64 (*.f64 y #s(literal 3 binary64)) x z)
51.4%
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z)
24.4%
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) z)
51.0%
(fma.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (*.f64 x y) z)
99.8%
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
99.9%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
49.7%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
52.6%
#s(approx (+ (* (* 3 (sqrt (* x y))) (sqrt (* x y))) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
Compiler

Compiled 191 to 113 computations (40.8% saved)

regimes34.0ms (0.6%)

Memory
5.6MiB live, 63.1MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (+ (* (* 3 (sqrt (* x y))) (sqrt (* x y))) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z)
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
(fma.f64 (*.f64 y #s(literal 3 binary64)) x z)
(-.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)
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) z)
(-.f64 (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 y x)))) z)
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) x)) (sqrt.f64 #s(literal 3 binary64))) z)
(fma.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (*.f64 x y) z)
Outputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Calls

6 calls:

14.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
4.0ms
(*.f64 x #s(literal 3 binary64))
4.0ms
z
4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
99.9%1(*.f64 (*.f64 x #s(literal 3 binary64)) y)
99.9%1(*.f64 x #s(literal 3 binary64))
Compiler

Compiled 18 to 27 computations (-50% saved)

regimes19.0ms (0.3%)

Memory
-3.7MiB live, 40.3MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (+ (* (* 3 (sqrt (* x y))) (sqrt (* x y))) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z)
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
(fma.f64 (*.f64 y #s(literal 3 binary64)) x z)
Outputs
#s(approx (+ (* (* 3 (sqrt (* x y))) (sqrt (* x y))) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (+ (* (* 3 (sqrt (* x y))) (sqrt (* x y))) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
Calls

6 calls:

7.0ms
(*.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
y
Results
AccuracySegmentsBranch
74.5%3x
75.2%3y
75.8%3z
66.4%3(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
81.2%3(*.f64 (*.f64 x #s(literal 3 binary64)) y)
74.5%3(*.f64 x #s(literal 3 binary64))
Compiler

Compiled 18 to 27 computations (-50% saved)

regimes12.0ms (0.2%)

Memory
-11.7MiB live, 33.1MiB allocated
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:

5.0ms
(*.f64 x #s(literal 3 binary64))
1.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
1.0ms
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
49.7%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
49.7%1x
49.7%1(*.f64 x #s(literal 3 binary64))
49.7%1y
49.7%1z
49.7%1(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Compiler

Compiled 18 to 27 computations (-50% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.921395843747946e+53
1.5242972239973203e+56
0.0ms
-5.612625996639583e+30
-2.992534015884056e+30
Compiler

Compiled 10 to 13 computations (-30% saved)

simplify13.0ms (0.2%)

Memory
28.0MiB live, 28.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02663
14557
26457
311657
420457
524057
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -4999999999999999817948147482624 binary64)) #s(approx (+ (* (* 3 (sqrt (* x y))) (sqrt (* x y))) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 500000000000000039145770202298121921152680149943058432 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (+ (* (* 3 (sqrt (* x y))) (sqrt (* x y))) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Outputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -4999999999999999817948147482624 binary64)) #s(approx (+ (* (* 3 (sqrt (* x y))) (sqrt (* x y))) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 500000000000000039145770202298121921152680149943058432 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (+ (* (* 3 (sqrt (* x y))) (sqrt (* x y))) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))))
(if (or (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -4999999999999999817948147482624 binary64)) (not (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 500000000000000039145770202298121921152680149943058432 binary64)))) #s(approx (+ (* (* 3 (sqrt (* x y))) (sqrt (* x y))) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) #s(approx (- (* (* x 3) y) z) (neg.f64 z)))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))

soundness1.4s (24.4%)

Memory
-26.8MiB live, 716.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
01015
12615
216415
3175815
0873114
01042
01640
14440
222230
3214130
0958729
05697
118397
266897
3171397
4425097
5672197
0828188
03866
112166
240266
3111766
4303866
5489266
6596966
7617966
8710966
0852766
02394
03899
110987
244577
3406974
0857274
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 122 to 79 computations (35.2% saved)

preprocess60.0ms (1%)

Memory
-38.7MiB live, 201.4MiB allocated
Compiler

Compiled 182 to 112 computations (38.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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