Statistics.Distribution.Beta:$cvariance from math-functions-0.1.5.2

Time bar (total: 7.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze123.0ms (1.7%)

Memory
14.4MiB live, 91.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
75%74.9%25%0.1%0%0%0%10
75%74.9%25%0.1%0%0%0%11
75%74.9%25%0.1%0%0%0%12
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample880.0ms (12%)

Memory
29.7MiB live, 1 127.8MiB allocated
Samples
599.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 342.0ms
ival-mult: 223.0ms (65.3% of total)
ival-div: 61.0ms (17.9% of total)
ival-add: 43.0ms (12.6% of total)
ival-true: 6.0ms (1.8% of total)
exact: 5.0ms (1.5% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain90.0ms (1.2%)

Memory
-22.4MiB live, 143.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
450-1(-1.4434519642892275e+39 6.455982862896422e-167 -7.563535244100755e-160)(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
00-0-#s(literal 1 binary64)
00-0-z
00-0-(*.f64 x y)
00-0-(+.f64 z #s(literal 1 binary64))
00-0-(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
00-0-(*.f64 z z)
00-0-y
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))n/u110
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))underflow61
(*.f64 z z)underflow61
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))o/o90
(*.f64 x y)overflow35
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))overflow83
(*.f64 z z)overflow58
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))n/o80
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))overflow83
(*.f64 z z)overflow58
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))u/u80
(*.f64 x y)underflow36
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))underflow61
(*.f64 z z)underflow61
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))u/n60
(*.f64 x y)underflow36
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))o/n20
(*.f64 x y)overflow35
Confusion
Predicted +Predicted -
+441
-0211
Precision
1.0
Recall
0.9777777777777777
Confusion?
Predicted +Predicted MaybePredicted -
+4401
-00211
Precision?
1.0
Recall?
0.9777777777777777
Freqs
test
numberfreq
0212
144
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
42.0ms512×0valid
Compiler

Compiled 77 to 31 computations (59.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 19.0ms (74.9% of total)
ival-div: 3.0ms (11.8% of total)
ival-add: 3.0ms (11.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess50.0ms (0.7%)

Memory
6.4MiB live, 48.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034110
1149102
2625101
3327299
4570899
0911
01411
13411
28211
318011
423911
524311
024310
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Outputs
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
Symmetry

(negabs y)

(negabs x)

(sort x y)

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB 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
83.3%
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify6.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
01431
13431
28231
318031
423931
524331
024329
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 x y)
x
y
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
(*.f64 z z)
z
(+.f64 z #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
(*.f64 (fma.f64 z z z) z)
(*.f64 z z)
z
(+.f64 z #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)

localize26.0ms (0.4%)

Memory
-29.6MiB live, 46.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 z z)
accuracy0.0
(*.f64 x y)
accuracy0.0546875
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
accuracy10.569037803385099
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Samples
20.0ms256×0valid
Compiler

Compiled 33 to 11 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (68.3% of total)
ival-div: 1.0ms (11.4% of total)
ival-add: 1.0ms (11.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
18.8MiB live, 18.8MiB allocated
Counts
4 → 17
Calls
Call 1
Inputs
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 x y)
(*.f64 z z)
Outputs
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* x y)
(pow z 2)
(* (pow z 2) (+ 1 z))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
Calls

9 calls:

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

simplify189.0ms (2.6%)

Memory
5.6MiB live, 248.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062236
1194217
2603199
33001181
47871181
08356176
Stop Event
iter limit
node limit
Counts
17 → 17
Calls
Call 1
Inputs
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* x y)
(pow z 2)
(* (pow z 2) (+ 1 z))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
Outputs
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(* x y)
(*.f64 y x)
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 x z) (/.f64 y z))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) x) (*.f64 z z))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (*.f64 (fma.f64 (-.f64 (*.f64 y z) y) z y) x) (*.f64 z z))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) x)) (*.f64 z z))
(pow z 3)
(pow.f64 z #s(literal 3 binary64))
(* (pow z 3) (+ 1 (/ 1 z)))
(*.f64 (fma.f64 z z z) z)
(/ (* x y) (pow z 3))
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) y)
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (-.f64 y (/.f64 y z)))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y) x) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/.f64 (*.f64 (*.f64 (-.f64 (/.f64 x z) x) y) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) #s(literal 1 binary64))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (-.f64 y (/.f64 y z)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(/.f64 (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y) x) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(/.f64 (*.f64 (*.f64 (-.f64 (/.f64 x z) x) y) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) #s(literal 1 binary64))) (pow.f64 z #s(literal 3 binary64)))

rewrite145.0ms (2%)

Memory
0.7MiB live, 265.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
01424
15524
233824
3323024
0870622
Stop Event
iter limit
node limit
iter limit
Counts
4 → 386
Calls
Call 1
Inputs
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 x y)
(*.f64 z z)
Outputs
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) z) z) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) z) z) (fma.f64 z z #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (fma.f64 z z (pow.f64 z #s(literal 5 binary64))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 z z #s(literal -1 binary64)) z))
(*.f64 (/.f64 (fma.f64 z z (pow.f64 z #s(literal 5 binary64))) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))
(*.f64 (neg.f64 (neg.f64 z)) (fma.f64 z z z))
(*.f64 (neg.f64 (*.f64 (neg.f64 z) z)) (+.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) z) z) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 z z (pow.f64 z #s(literal 5 binary64))) (pow.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(*.f64 (neg.f64 z) (neg.f64 (fma.f64 z z z)))
(*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 z (*.f64 z (-.f64 z #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 9 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) (*.f64 (neg.f64 z) z))
(*.f64 (*.f64 (neg.f64 z) z) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (fma.f64 z z z)))
(*.f64 (fma.f64 z z z) (/.f64 z #s(literal 1 binary64)))
(*.f64 (fma.f64 z z z) z)
(*.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 z z)))
(*.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 z (/.f64 z (-.f64 z #s(literal 1 binary64)))))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 z z) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) (*.f64 z z)))
(*.f64 (*.f64 (fma.f64 z z z) z) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 z z) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (neg.f64 z) z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z z) z))
(*.f64 (*.f64 z z) (/.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z))
(*.f64 z (/.f64 (fma.f64 z z z) #s(literal 1 binary64)))
(*.f64 z (neg.f64 (neg.f64 (fma.f64 z z z))))
(*.f64 z (fma.f64 z z z))
(pow.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) z) z)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 z (*.f64 z (-.f64 z #s(literal 1 binary64)))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 9 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 z z z) z) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 z (*.f64 z (-.f64 z #s(literal 1 binary64))))) (*.f64 (*.f64 z (*.f64 z (-.f64 z #s(literal 1 binary64)))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 (*.f64 z (*.f64 z (-.f64 z #s(literal 1 binary64)))) (*.f64 z (*.f64 z (-.f64 z #s(literal 1 binary64))))))
(/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (*.f64 z z) (neg.f64 (fma.f64 z z #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z))))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64))) (-.f64 (*.f64 z z) (pow.f64 z #s(literal 3 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) z) z)) (-.f64 #s(literal 1 binary64) z))
(/.f64 (neg.f64 (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (neg.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (*.f64 z (*.f64 z (-.f64 z #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 9 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 z z)) (-.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (neg.f64 (fma.f64 z z #s(literal -1 binary64))) (*.f64 z z)) (-.f64 #s(literal 1 binary64) z))
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(/.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z z)) y) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 z z #s(literal -1 binary64)) z)))
(/.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z z)) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (*.f64 (*.f64 y (/.f64 x z)) #s(literal 1 binary64)) (fma.f64 z z z))
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(literal 1 binary64)) (*.f64 (neg.f64 z) (fma.f64 z z z)))
(/.f64 (*.f64 (neg.f64 y) (/.f64 x z)) (neg.f64 (fma.f64 z z z)))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) (*.f64 z (/.f64 z x))))
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) y) (*.f64 (neg.f64 z) z)))
(/.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) y) (*.f64 z z)))
(/.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 (*.f64 (/.f64 x z) (neg.f64 y)) (neg.f64 (fma.f64 z z z)))
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(/.f64 (*.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 (fma.f64 z z z) y))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 (+.f64 #s(literal 1 binary64) z) y)))
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (*.f64 z (/.f64 z x)) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) z)
(/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (/.f64 (fma.f64 z z z) x) y))
(/.f64 (/.f64 (*.f64 y (/.f64 x z)) (*.f64 (fma.f64 z z #s(literal -1 binary64)) z)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (pow.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) (*.f64 z z))
(/.f64 (*.f64 y (/.f64 x z)) (fma.f64 z z z))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 (*.f64 z (/.f64 z y)) x))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) x) y))
(/.f64 (/.f64 (/.f64 y z) z) (/.f64 (+.f64 #s(literal 1 binary64) z) x))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y)))
(/.f64 (/.f64 y z) (/.f64 (fma.f64 z z z) x))
(/.f64 (/.f64 x z) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) y) z))
(/.f64 (/.f64 x z) (/.f64 (fma.f64 z z z) y))
(/.f64 (*.f64 (neg.f64 x) (/.f64 (/.f64 y z) z)) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (/.f64 (/.f64 (fma.f64 z z z) x) y)))
(/.f64 (*.f64 (/.f64 x (*.f64 z z)) y) (+.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) z)) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x)))
(/.f64 (/.f64 x (*.f64 z z)) (/.f64 (+.f64 #s(literal 1 binary64) z) y))
(/.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 z) (fma.f64 z z z)))
(/.f64 (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) #s(literal 1 binary64))
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z z) (*.f64 y (/.f64 x z))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (fma.f64 z z z) x) y) z))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 (fma.f64 z z z) x) y) z)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z)))))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))))
(fma.f64 (/.f64 (*.f64 y (/.f64 x z)) (*.f64 (fma.f64 z z #s(literal -1 binary64)) z)) z (*.f64 (/.f64 (*.f64 y (/.f64 x z)) (*.f64 (fma.f64 z z #s(literal -1 binary64)) z)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (*.f64 z z)))
(fma.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (*.f64 z z) (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) z)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (*.f64 (*.f64 z z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))))
(fma.f64 (*.f64 z z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))))
(fma.f64 z (/.f64 (*.f64 y (/.f64 x z)) (*.f64 (fma.f64 z z #s(literal -1 binary64)) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (/.f64 x z)) (*.f64 (fma.f64 z z #s(literal -1 binary64)) z))))
(-.f64 (/.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 z (/.f64 z y)) x)) (/.f64 (/.f64 z (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 z (/.f64 z y)) x)))
(-.f64 (/.f64 (/.f64 z (fma.f64 z z #s(literal -1 binary64))) (/.f64 (*.f64 z (/.f64 z y)) x)) (/.f64 (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 z (/.f64 z y)) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))) (*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z)) (+.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (fma.f64 z z z))) #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (fma.f64 z z z) z)) (*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (fma.f64 z z z))) (*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 z) (log.f64 (*.f64 (/.f64 x (*.f64 z z)) y))) #s(literal -1 binary64)))
(+.f64 (*.f64 z (/.f64 (*.f64 y (/.f64 x z)) (*.f64 (fma.f64 z z #s(literal -1 binary64)) z))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (/.f64 x z)) (*.f64 (fma.f64 z z #s(literal -1 binary64)) z))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))) (*.f64 (*.f64 z z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))))
(+.f64 (*.f64 (*.f64 z z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))))
(+.f64 (*.f64 (/.f64 (*.f64 y (/.f64 x z)) (*.f64 (fma.f64 z z #s(literal -1 binary64)) z)) z) (*.f64 (/.f64 (*.f64 y (/.f64 x z)) (*.f64 (fma.f64 z z #s(literal -1 binary64)) z)) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (*.f64 z z)))
(+.f64 (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (*.f64 z z)) (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 (neg.f64 x)) y)
(*.f64 (neg.f64 (neg.f64 y)) x)
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y))
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 y (neg.f64 (neg.f64 x)))
(*.f64 y (*.f64 x #s(literal 1 binary64)))
(*.f64 y x)
(*.f64 x (neg.f64 (neg.f64 y)))
(*.f64 x (*.f64 y #s(literal 1 binary64)))
(*.f64 x y)
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(neg.f64 (*.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 z) (neg.f64 z))
(*.f64 #s(literal 1 binary64) (*.f64 z z))
(*.f64 (*.f64 z z) #s(literal 1 binary64))
(*.f64 z z)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 z))
(pow.f64 (neg.f64 z) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))

eval45.0ms (0.6%)

Memory
2.5MiB live, 124.0MiB allocated
Compiler

Compiled 6 728 to 1 095 computations (83.7% saved)

prune34.0ms (0.5%)

Memory
-7.4MiB live, 32.1MiB allocated
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New38415399
Fresh000
Picked011
Done000
Total38416400
Accuracy
100.0%
Counts
400 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.1%
(/.f64 (/.f64 y z) (/.f64 (fma.f64 z z z) x))
92.4%
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y)))
95.1%
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
83.3%
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
93.3%
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x)))
94.7%
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
83.3%
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
67.0%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
93.4%
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z)))
90.6%
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
90.3%
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
92.1%
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal 1 binary64) z)))
96.4%
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
84.8%
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
84.2%
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
73.6%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
Compiler

Compiled 361 to 265 computations (26.6% saved)

simplify189.0ms (2.6%)

Memory
-11.5MiB live, 123.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 z z z) x)
cost-diff0
(*.f64 z (/.f64 (fma.f64 z z z) x))
cost-diff0
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x)))
cost-diff2
(*.f64 y #s(literal 1 binary64))
cost-diff0
(fma.f64 z z z)
cost-diff0
(/.f64 (fma.f64 z z z) y)
cost-diff0
(*.f64 z (/.f64 (fma.f64 z z z) y))
cost-diff0
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
cost-diff0
(*.f64 (neg.f64 z) (fma.f64 z z z))
cost-diff0
(/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))
cost-diff0
(neg.f64 x)
cost-diff2
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
cost-diff0
(*.f64 z z)
cost-diff0
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
cost-diff0
(/.f64 x z)
cost-diff0
(fma.f64 z z z)
cost-diff0
(/.f64 y (fma.f64 z z z))
cost-diff0
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027168
046162
1103160
2283160
31170160
43140160
54739160
66164160
76621160
86790160
96799160
106812160
116872160
127015160
137476160
08022160
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
(/.f64 y (fma.f64 z z z))
y
(fma.f64 z z z)
z
(/.f64 x z)
x
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 x y)
x
y
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
z
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(neg.f64 x)
x
(/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))
y
(*.f64 (neg.f64 z) (fma.f64 z z z))
(neg.f64 z)
z
(fma.f64 z z z)
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
x
(*.f64 z (/.f64 (fma.f64 z z z) y))
z
(/.f64 (fma.f64 z z z) y)
(fma.f64 z z z)
y
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x)))
(*.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(*.f64 z (/.f64 (fma.f64 z z z) x))
z
(/.f64 (fma.f64 z z z) x)
(fma.f64 z z z)
x
Outputs
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/.f64 y (fma.f64 z z z))
y
(fma.f64 z z z)
z
(/.f64 x z)
x
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 x y)
x
y
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
z
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(neg.f64 x)
x
(/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))
(/.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (*.f64 z z))
y
(*.f64 (neg.f64 z) (fma.f64 z z z))
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z))
(neg.f64 z)
z
(fma.f64 z z z)
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
x
(*.f64 z (/.f64 (fma.f64 z z z) y))
(*.f64 (/.f64 (fma.f64 z z z) y) z)
z
(/.f64 (fma.f64 z z z) y)
(fma.f64 z z z)
y
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x)))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(*.f64 y #s(literal 1 binary64))
y
y
#s(literal 1 binary64)
(*.f64 z (/.f64 (fma.f64 z z z) x))
(*.f64 (/.f64 (fma.f64 z z z) x) z)
z
(/.f64 (fma.f64 z z z) x)
(fma.f64 z z z)
x

localize96.0ms (1.3%)

Memory
-10.4MiB live, 112.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y #s(literal 1 binary64))
accuracy0.12109375
(*.f64 z (/.f64 (fma.f64 z z z) x))
accuracy0.9868007411219072
(/.f64 (fma.f64 z z z) x)
accuracy4.219421725556894
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x)))
accuracy0.0
(fma.f64 z z z)
accuracy0.13671875
(*.f64 z (/.f64 (fma.f64 z z z) y))
accuracy4.996989029668281
(/.f64 (fma.f64 z z z) y)
accuracy5.5243566009016245
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
accuracy0.0
(neg.f64 x)
accuracy0.0546875
(*.f64 (neg.f64 z) (fma.f64 z z z))
accuracy5.601067213606621
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
accuracy7.191452789248553
(/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))
accuracy0.0
(*.f64 z z)
accuracy0.0
(*.f64 x y)
accuracy10.569037803385099
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
accuracy26.398120042564354
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy0.0
(fma.f64 z z z)
accuracy0.0
(/.f64 x z)
accuracy1.0980149561147745
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
accuracy5.093244736757575
(/.f64 y (fma.f64 z z z))
Samples
72.0ms256×0valid
Compiler

Compiled 177 to 27 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-div: 25.0ms (59.1% of total)
ival-mult: 13.0ms (30.7% of total)
ival-add: 2.0ms (4.7% of total)
ival-neg: 2.0ms (4.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series59.0ms (0.8%)

Memory
10.4MiB live, 47.4MiB allocated
Counts
19 → 71
Calls
Call 1
Inputs
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
(/.f64 y (fma.f64 z z z))
(fma.f64 z z z)
(/.f64 x z)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 x y)
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(neg.f64 x)
(/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))
(*.f64 (neg.f64 z) (fma.f64 z z z))
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(*.f64 z (/.f64 (fma.f64 z z z) y))
(/.f64 (fma.f64 z z z) y)
(*.f64 y #s(literal 1 binary64))
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x)))
(*.f64 z (/.f64 (fma.f64 z z z) x))
(/.f64 (fma.f64 z z z) x)
Outputs
(/ (* x y) (* z (+ z (pow z 2))))
(/ x z)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* x y)
(* -1 x)
(/ (* z (+ z (pow z 2))) x)
(/ (+ z (pow z 2)) x)
(/ y (+ z (pow z 2)))
(* -1 (/ y (* z (+ z (pow z 2)))))
(/ (* z (+ z (pow z 2))) y)
(/ (+ z (pow z 2)) y)
y
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ y z)
(/ (+ y (* -1 (* y z))) z)
(/ (+ y (* z (- (* y z) y))) z)
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z)
z
(* z (+ 1 z))
(pow z 2)
(* (pow z 2) (+ 1 z))
(* -1 (/ y (pow z 2)))
(/ (+ (* -1 y) (* y z)) (pow z 2))
(/ (+ (* -1 y) (* z (+ y (* -1 (* y z))))) (pow z 2))
(/ (+ (* -1 y) (* z (+ y (* z (+ (* -1 y) (* y z)))))) (pow z 2))
(* -1 (pow z 2))
(* (pow z 2) (- (* -1 z) 1))
(/ (pow z 2) y)
(* (pow z 2) (+ (/ 1 y) (/ z y)))
(/ z y)
(* z (+ (/ 1 y) (/ z y)))
(/ (pow z 2) x)
(* (pow z 2) (+ (/ 1 x) (/ z x)))
(/ z x)
(* z (+ (/ 1 x) (/ z x)))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ y (pow z 2))
(/ (+ y (* -1 (/ y z))) (pow z 2))
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 2))
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 2))
(* (pow z 2) (+ 1 (/ 1 z)))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(* -1 (/ y (pow z 3)))
(/ (+ (* -1 y) (/ y z)) (pow z 3))
(/ (+ (* -1 y) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 3))
(/ (+ (* -1 y) (+ (* -1 (/ y (pow z 2))) (+ (/ y z) (/ y (pow z 3))))) (pow z 3))
(* -1 (pow z 3))
(* -1 (* (pow z 3) (+ 1 (/ 1 z))))
(/ (pow z 3) y)
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(/ (pow z 3) x)
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z))))
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) (pow z 2))
(/ (+ y (* -1 (/ (- (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z)) (* -1 y)) z))) (pow z 2))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ y (* -1 (/ y z))) (pow z 3)))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) (pow z 3)))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z)) (* -1 y)) z))) (pow z 3)))
Calls

9 calls:

TimeVariablePointExpression
31.0ms
z
@0
((* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (+ (* z z) z) (/ x z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (neg x) (/ y (* (neg z) (+ (* z z) z))) (* (neg z) (+ (* z z) z)) (/ x (* z (/ (+ (* z z) z) y))) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (* y 1) (/ (* y 1) (* z (/ (+ (* z z) z) x))) (* z (/ (+ (* z z) z) x)) (/ (+ (* z z) z) x))
6.0ms
z
@-inf
((* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (+ (* z z) z) (/ x z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (neg x) (/ y (* (neg z) (+ (* z z) z))) (* (neg z) (+ (* z z) z)) (/ x (* z (/ (+ (* z z) z) y))) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (* y 1) (/ (* y 1) (* z (/ (+ (* z z) z) x))) (* z (/ (+ (* z z) z) x)) (/ (+ (* z z) z) x))
4.0ms
x
@0
((* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (+ (* z z) z) (/ x z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (neg x) (/ y (* (neg z) (+ (* z z) z))) (* (neg z) (+ (* z z) z)) (/ x (* z (/ (+ (* z z) z) y))) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (* y 1) (/ (* y 1) (* z (/ (+ (* z z) z) x))) (* z (/ (+ (* z z) z) x)) (/ (+ (* z z) z) x))
4.0ms
y
@-inf
((* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (+ (* z z) z) (/ x z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (neg x) (/ y (* (neg z) (+ (* z z) z))) (* (neg z) (+ (* z z) z)) (/ x (* z (/ (+ (* z z) z) y))) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (* y 1) (/ (* y 1) (* z (/ (+ (* z z) z) x))) (* z (/ (+ (* z z) z) x)) (/ (+ (* z z) z) x))
3.0ms
x
@-inf
((* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (+ (* z z) z) (/ x z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (neg x) (/ y (* (neg z) (+ (* z z) z))) (* (neg z) (+ (* z z) z)) (/ x (* z (/ (+ (* z z) z) y))) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (* y 1) (/ (* y 1) (* z (/ (+ (* z z) z) x))) (* z (/ (+ (* z z) z) x)) (/ (+ (* z z) z) x))

simplify169.0ms (2.3%)

Memory
28.2MiB live, 185.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0178763
1534717
21388652
34665638
08179613
Stop Event
iter limit
node limit
Counts
71 → 69
Calls
Call 1
Inputs
(/ (* x y) (* z (+ z (pow z 2))))
(/ x z)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* x y)
(* -1 x)
(/ (* z (+ z (pow z 2))) x)
(/ (+ z (pow z 2)) x)
(/ y (+ z (pow z 2)))
(* -1 (/ y (* z (+ z (pow z 2)))))
(/ (* z (+ z (pow z 2))) y)
(/ (+ z (pow z 2)) y)
y
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ y z)
(/ (+ y (* -1 (* y z))) z)
(/ (+ y (* z (- (* y z) y))) z)
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z)
z
(* z (+ 1 z))
(pow z 2)
(* (pow z 2) (+ 1 z))
(* -1 (/ y (pow z 2)))
(/ (+ (* -1 y) (* y z)) (pow z 2))
(/ (+ (* -1 y) (* z (+ y (* -1 (* y z))))) (pow z 2))
(/ (+ (* -1 y) (* z (+ y (* z (+ (* -1 y) (* y z)))))) (pow z 2))
(* -1 (pow z 2))
(* (pow z 2) (- (* -1 z) 1))
(/ (pow z 2) y)
(* (pow z 2) (+ (/ 1 y) (/ z y)))
(/ z y)
(* z (+ (/ 1 y) (/ z y)))
(/ (pow z 2) x)
(* (pow z 2) (+ (/ 1 x) (/ z x)))
(/ z x)
(* z (+ (/ 1 x) (/ z x)))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ y (pow z 2))
(/ (+ y (* -1 (/ y z))) (pow z 2))
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 2))
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 2))
(* (pow z 2) (+ 1 (/ 1 z)))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(* -1 (/ y (pow z 3)))
(/ (+ (* -1 y) (/ y z)) (pow z 3))
(/ (+ (* -1 y) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 3))
(/ (+ (* -1 y) (+ (* -1 (/ y (pow z 2))) (+ (/ y z) (/ y (pow z 3))))) (pow z 3))
(* -1 (pow z 3))
(* -1 (* (pow z 3) (+ 1 (/ 1 z))))
(/ (pow z 3) y)
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(/ (pow z 3) x)
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z))))
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) (pow z 2))
(/ (+ y (* -1 (/ (- (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z)) (* -1 y)) z))) (pow z 2))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ y (* -1 (/ y z))) (pow z 3)))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) (pow z 3)))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z)) (* -1 y)) z))) (pow z 3)))
Outputs
(/ (* x y) (* z (+ z (pow z 2))))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/ x z)
(/.f64 x z)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(* x y)
(*.f64 x y)
(* -1 x)
(neg.f64 x)
(/ (* z (+ z (pow z 2))) x)
(/.f64 (*.f64 (fma.f64 z z z) z) x)
(/ (+ z (pow z 2)) x)
(/.f64 (fma.f64 z z z) x)
(/ y (+ z (pow z 2)))
(/.f64 y (fma.f64 z z z))
(* -1 (/ y (* z (+ z (pow z 2)))))
(/.f64 (/.f64 (neg.f64 y) z) (fma.f64 z z z))
(/ (* z (+ z (pow z 2))) y)
(/.f64 (*.f64 (fma.f64 z z z) z) y)
(/ (+ z (pow z 2)) y)
(/.f64 (fma.f64 z z z) y)
y
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 x y)) (*.f64 z z))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) (*.f64 z z))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 x y))) (*.f64 z z))
(/ y z)
(/.f64 y z)
(/ (+ y (* -1 (* y z))) z)
(/.f64 (-.f64 y (*.f64 z y)) z)
(/ (+ y (* z (- (* y z) y))) z)
(/.f64 (fma.f64 (-.f64 (*.f64 z y) y) z y) z)
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z)
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 y (*.f64 z y))) z)
z
(* z (+ 1 z))
(fma.f64 z z z)
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
(* -1 (/ y (pow z 2)))
(/.f64 (/.f64 (neg.f64 y) z) z)
(/ (+ (* -1 y) (* y z)) (pow z 2))
(*.f64 (/.f64 (/.f64 y z) z) (-.f64 z #s(literal 1 binary64)))
(/ (+ (* -1 y) (* z (+ y (* -1 (* y z))))) (pow z 2))
(/.f64 (*.f64 y (-.f64 z (fma.f64 z z #s(literal 1 binary64)))) (*.f64 z z))
(/ (+ (* -1 y) (* z (+ y (* z (+ (* -1 y) (* y z)))))) (pow z 2))
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 (*.f64 z y) y)) (*.f64 z z))
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(* (pow z 2) (- (* -1 z) 1))
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z))
(/ (pow z 2) y)
(*.f64 (/.f64 z y) z)
(* (pow z 2) (+ (/ 1 y) (/ z y)))
(/.f64 (*.f64 (fma.f64 z z z) z) y)
(/ z y)
(/.f64 z y)
(* z (+ (/ 1 y) (/ z y)))
(/.f64 (fma.f64 z z z) y)
(/ (pow z 2) x)
(*.f64 (/.f64 z x) z)
(* (pow z 2) (+ (/ 1 x) (/ z x)))
(/.f64 (*.f64 (fma.f64 z z z) z) x)
(/ z x)
(/.f64 z x)
(* z (+ (/ 1 x) (/ z x)))
(/.f64 (fma.f64 z z z) x)
(/ (* x y) (pow z 3))
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) y)
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (-.f64 y (/.f64 y z)))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/.f64 (*.f64 (*.f64 (-.f64 (/.f64 y z) y) x) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) #s(literal -1 binary64))) (pow.f64 z #s(literal 3 binary64)))
(/ y (pow z 2))
(/.f64 (/.f64 y z) z)
(/ (+ y (* -1 (/ y z))) (pow z 2))
(/.f64 (/.f64 (-.f64 y (/.f64 y z)) z) z)
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 2))
(/.f64 (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z) z)
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 2))
(/.f64 (*.f64 (-.f64 (/.f64 y z) y) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) #s(literal 1 binary64))) (*.f64 z z))
(* (pow z 2) (+ 1 (/ 1 z)))
(fma.f64 z z z)
(pow z 3)
(pow.f64 z #s(literal 3 binary64))
(* (pow z 3) (+ 1 (/ 1 z)))
(*.f64 (fma.f64 z z z) z)
(* -1 (/ y (pow z 3)))
(/.f64 (neg.f64 y) (pow.f64 z #s(literal 3 binary64)))
(/ (+ (* -1 y) (/ y z)) (pow z 3))
(/.f64 (-.f64 (/.f64 y z) y) (pow.f64 z #s(literal 3 binary64)))
(/ (+ (* -1 y) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 3))
(/.f64 (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y) (pow.f64 z #s(literal 3 binary64)))
(/ (+ (* -1 y) (+ (* -1 (/ y (pow z 2))) (+ (/ y z) (/ y (pow z 3))))) (pow z 3))
(/.f64 (-.f64 (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z) y) (pow.f64 z #s(literal 3 binary64)))
(* -1 (pow z 3))
(neg.f64 (pow.f64 z #s(literal 3 binary64)))
(* -1 (* (pow z 3) (+ 1 (/ 1 z))))
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z))
(/ (pow z 3) y)
(/.f64 (pow.f64 z #s(literal 3 binary64)) y)
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(/.f64 (*.f64 (fma.f64 z z z) z) y)
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(/.f64 (fma.f64 z z z) y)
(/ (pow z 3) x)
(/.f64 (pow.f64 z #s(literal 3 binary64)) x)
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z))))
(/.f64 (*.f64 (fma.f64 z z z) z) x)
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(/.f64 (fma.f64 z z z) x)
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (-.f64 y (/.f64 y z)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(/.f64 (*.f64 (*.f64 (-.f64 (/.f64 y z) y) x) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) #s(literal -1 binary64))) (pow.f64 z #s(literal 3 binary64)))
(/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) (pow z 2))
(/.f64 (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z) z)
(/ (+ y (* -1 (/ (- (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z)) (* -1 y)) z))) (pow z 2))
(/.f64 (*.f64 (-.f64 (/.f64 y z) y) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) #s(literal 1 binary64))) (*.f64 z z))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(/.f64 (*.f64 (*.f64 (-.f64 (/.f64 y z) y) x) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) #s(literal -1 binary64))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ y (* -1 (/ y z))) (pow z 3)))
(/.f64 (-.f64 (/.f64 y z) y) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) (pow z 3)))
(/.f64 (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z)) (* -1 y)) z))) (pow z 3)))
(/.f64 (-.f64 (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z) y) (pow.f64 z #s(literal 3 binary64)))

rewrite253.0ms (3.5%)

Memory
-15.6MiB live, 309.5MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027138
046132
1176130
21095130
08403130
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 625
Calls
Call 1
Inputs
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
(/.f64 y (fma.f64 z z z))
(fma.f64 z z z)
(/.f64 x z)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 x y)
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(neg.f64 x)
(/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))
(*.f64 (neg.f64 z) (fma.f64 z z z))
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(*.f64 z (/.f64 (fma.f64 z z z) y))
(/.f64 (fma.f64 z z z) y)
(*.f64 y #s(literal 1 binary64))
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x)))
(*.f64 z (/.f64 (fma.f64 z z z) x))
(/.f64 (fma.f64 z z z) x)
Outputs
(*.f64 (*.f64 (/.f64 (/.f64 (neg.f64 x) z) (fma.f64 z z z)) #s(literal -1 binary64)) y)
(*.f64 (*.f64 (/.f64 (/.f64 (neg.f64 x) z) (fma.f64 z z z)) #s(literal 1 binary64)) (neg.f64 y))
(*.f64 (*.f64 (/.f64 (neg.f64 x) (fma.f64 z z z)) #s(literal 1 binary64)) (/.f64 (neg.f64 y) z))
(*.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 y z) (/.f64 x (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 4 binary64))))) (*.f64 z (-.f64 z #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 y z) (/.f64 x (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64)))))
(*.f64 (*.f64 (neg.f64 x) (/.f64 (neg.f64 y) (+.f64 (pow.f64 z #s(literal 5 binary64)) (neg.f64 (pow.f64 z #s(literal 3 binary64)))))) (*.f64 z (-.f64 z #s(literal 1 binary64))))
(*.f64 (*.f64 (neg.f64 x) (/.f64 (neg.f64 y) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64))))) (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64)))))
(*.f64 (*.f64 (/.f64 x z) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (/.f64 y z))
(*.f64 (*.f64 (/.f64 y (fma.f64 z z z)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z))
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (fma.f64 z z z) x) z) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 (/.f64 (fma.f64 z z z) x) z) y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 z z z) x) y) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 (/.f64 y z) (/.f64 z x)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 y (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 4 binary64)))) (/.f64 (*.f64 z (-.f64 z #s(literal 1 binary64))) (/.f64 z x)))
(*.f64 (/.f64 y (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 4 binary64)))) (*.f64 (*.f64 z (-.f64 z #s(literal 1 binary64))) (/.f64 x z)))
(*.f64 (/.f64 y (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64)))) (/.f64 z x)))
(*.f64 (/.f64 y (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64)))) (/.f64 x z)))
(*.f64 (/.f64 (neg.f64 y) (+.f64 (pow.f64 z #s(literal 5 binary64)) (neg.f64 (pow.f64 z #s(literal 3 binary64))))) (*.f64 (*.f64 z (-.f64 z #s(literal 1 binary64))) (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 y) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64)))) (*.f64 (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 x)))
(*.f64 (/.f64 x (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 4 binary64)))) (*.f64 (*.f64 z (-.f64 z #s(literal 1 binary64))) (/.f64 y z)))
(*.f64 (/.f64 x (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64)))) (/.f64 y z)))
(*.f64 (/.f64 (*.f64 x y) (+.f64 (pow.f64 z #s(literal 5 binary64)) (neg.f64 (pow.f64 z #s(literal 3 binary64))))) (*.f64 z (-.f64 z #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 x y) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64)))) (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64)))))
(*.f64 (*.f64 (/.f64 (neg.f64 x) (fma.f64 z z z)) y) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 (*.f64 (fma.f64 z z z) z) #s(literal -1 binary64)) (*.f64 x y))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z z)) (*.f64 (/.f64 (neg.f64 y) z) x))
(*.f64 (/.f64 (/.f64 (neg.f64 x) z) (fma.f64 z z z)) (neg.f64 y))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 (neg.f64 x) (fma.f64 z z z)) y))
(*.f64 (/.f64 (/.f64 x z) z) (/.f64 y (+.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 z x)))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x z) z))
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 y) (fma.f64 z z z)))
(*.f64 (/.f64 (neg.f64 x) (fma.f64 z z z)) (/.f64 (neg.f64 y) z))
(*.f64 (*.f64 (/.f64 (neg.f64 y) z) x) (/.f64 #s(literal -1 binary64) (fma.f64 z z z)))
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 (neg.f64 x) (fma.f64 z z z)))
(*.f64 (/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 y z) x) (pow.f64 (fma.f64 z z z) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))) #s(literal -1 binary64))
(*.f64 (*.f64 z (-.f64 z #s(literal 1 binary64))) (/.f64 (*.f64 x y) (+.f64 (pow.f64 z #s(literal 5 binary64)) (neg.f64 (pow.f64 z #s(literal 3 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))))
(*.f64 (pow.f64 (fma.f64 z z z) #s(literal -1 binary64)) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z z)) z) (*.f64 (neg.f64 y) x))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 (fma.f64 z z z) x) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 x (fma.f64 z z z)) y))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(*.f64 (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 x y) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64)))))
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z z)) z))
(*.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z z)) (/.f64 z x)))
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z z)) (/.f64 x z)))
(*.f64 (neg.f64 y) (*.f64 (pow.f64 (*.f64 (fma.f64 z z z) z) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 (neg.f64 y) (/.f64 (/.f64 (neg.f64 x) z) (fma.f64 z z z)))
(*.f64 (/.f64 (/.f64 (neg.f64 y) z) (fma.f64 z z z)) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 (/.f64 (neg.f64 y) z) (fma.f64 z z z)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z))
(*.f64 (*.f64 x y) (*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (fma.f64 z z z) #s(literal -1 binary64))))
(*.f64 (*.f64 x y) (pow.f64 (*.f64 (fma.f64 z z z) z) #s(literal -1 binary64)))
(*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z)))
(*.f64 x (/.f64 (/.f64 y (fma.f64 z z z)) z))
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
(*.f64 y (/.f64 (/.f64 x (fma.f64 z z z)) z))
(pow.f64 (/.f64 (*.f64 (/.f64 (fma.f64 z z z) x) z) y) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (/.f64 (neg.f64 x) (fma.f64 z z z)) y) #s(literal -1 binary64)) z)
(/.f64 (/.f64 (*.f64 (/.f64 y z) x) z) (+.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 (neg.f64 y) x) (+.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 z) z))
(/.f64 (/.f64 (*.f64 x y) (*.f64 z z)) (+.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) z)) (*.f64 z z))
(/.f64 (/.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) y)) (neg.f64 (fma.f64 z z z)))
(/.f64 (/.f64 (/.f64 x z) (/.f64 (+.f64 #s(literal 1 binary64) z) y)) z)
(/.f64 (/.f64 (/.f64 x z) (pow.f64 y #s(literal -1 binary64))) (fma.f64 z z z))
(/.f64 (/.f64 x (/.f64 z y)) (fma.f64 z z z))
(/.f64 (/.f64 (neg.f64 y) (/.f64 (fma.f64 z z z) x)) (neg.f64 z))
(/.f64 (/.f64 (*.f64 x y) #s(literal -1 binary64)) (*.f64 (neg.f64 z) (fma.f64 z z z)))
(/.f64 (/.f64 (*.f64 (neg.f64 y) x) #s(literal -1 binary64)) (*.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 (*.f64 (/.f64 y z) x) (*.f64 z (-.f64 z #s(literal 1 binary64)))) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 4 binary64))))
(/.f64 (*.f64 (*.f64 (/.f64 y z) x) (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64))))) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 (*.f64 y (/.f64 (/.f64 x z) z)) (+.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 (/.f64 (neg.f64 y) z) (fma.f64 z z z))) x)
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (neg.f64 y) z) (fma.f64 z z z))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 (*.f64 x y) (+.f64 (pow.f64 z #s(literal 5 binary64)) (neg.f64 (pow.f64 z #s(literal 3 binary64))))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))
(/.f64 (*.f64 (/.f64 (*.f64 x y) (+.f64 (pow.f64 z #s(literal 5 binary64)) (neg.f64 (pow.f64 z #s(literal 3 binary64))))) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z z))
(/.f64 (*.f64 (/.f64 (*.f64 x y) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64)))) (-.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 z (-.f64 #s(literal 1 binary64) z)) z) #s(literal 2 binary64)))) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) (pow.f64 z #s(literal 3 binary64))))
(/.f64 (*.f64 (/.f64 (*.f64 x y) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 z (-.f64 #s(literal 1 binary64) z)) z) #s(literal 3 binary64)) (pow.f64 z #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 z (-.f64 #s(literal 1 binary64) z)) z) (-.f64 (*.f64 (*.f64 z (-.f64 #s(literal 1 binary64) z)) z) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64))))
(/.f64 (*.f64 (/.f64 y z) (/.f64 x (+.f64 #s(literal 1 binary64) z))) z)
(/.f64 (*.f64 (/.f64 (/.f64 (neg.f64 y) z) (fma.f64 z z z)) (neg.f64 (*.f64 x x))) x)
(/.f64 (*.f64 (/.f64 (/.f64 (neg.f64 y) z) (fma.f64 z z z)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 (neg.f64 x) (fma.f64 z z z)) #s(literal 1 binary64)) (/.f64 (neg.f64 z) y))
(/.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) #s(literal 1 binary64)) z)
(/.f64 (*.f64 (/.f64 x z) #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 z z z)) y))
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) #s(literal -1 binary64)) (/.f64 (neg.f64 z) x))
(/.f64 (*.f64 (/.f64 y z) (neg.f64 x)) (neg.f64 (fma.f64 z z z)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))) (*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))))) (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))) (*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))) (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z)))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 z z z)) (*.f64 (*.f64 (/.f64 z y) (neg.f64 (fma.f64 z z z))) (*.f64 (/.f64 (neg.f64 y) z) x))) (*.f64 (*.f64 (/.f64 z y) (neg.f64 (fma.f64 z z z))) (fma.f64 z z z)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 z z z) z)) (*.f64 (*.f64 (/.f64 z y) (neg.f64 (fma.f64 z z z))) (*.f64 (neg.f64 y) x))) (*.f64 (*.f64 (/.f64 z y) (neg.f64 (fma.f64 z z z))) (*.f64 (fma.f64 z z z) z)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (fma.f64 z z z))) (*.f64 (*.f64 (/.f64 z y) (neg.f64 (fma.f64 z z z))) (*.f64 x y))) (*.f64 (*.f64 (/.f64 z y) (neg.f64 (fma.f64 z z z))) (*.f64 (neg.f64 z) (fma.f64 z z z))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 z y) (neg.f64 (fma.f64 z z z)))) (*.f64 (*.f64 (/.f64 z y) (neg.f64 (fma.f64 z z z))) x)) (*.f64 (*.f64 (/.f64 z y) (neg.f64 (fma.f64 z z z))) (*.f64 (/.f64 z y) (neg.f64 (fma.f64 z z z)))))
(/.f64 (/.f64 (*.f64 x y) (+.f64 (pow.f64 z #s(literal 5 binary64)) (neg.f64 (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (*.f64 z (-.f64 z #s(literal 1 binary64))) #s(literal -1 binary64)))
(/.f64 (/.f64 (*.f64 x y) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 (neg.f64 x) (fma.f64 z z z)) y) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (/.f64 z y) (neg.f64 (fma.f64 z z z))) x))
(/.f64 (/.f64 (/.f64 (neg.f64 x) z) (fma.f64 z z z)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 z y) (neg.f64 (fma.f64 z z z))) (*.f64 x x)))
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 z x) z))
(/.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 (fma.f64 z z z)) y))
(/.f64 (/.f64 (neg.f64 x) (fma.f64 z z z)) (/.f64 (neg.f64 z) y))
(/.f64 (/.f64 (neg.f64 y) (fma.f64 z z z)) (/.f64 (neg.f64 z) x))
(/.f64 (*.f64 (/.f64 (neg.f64 y) z) x) (neg.f64 (fma.f64 z z z)))
(/.f64 (/.f64 (neg.f64 y) z) (/.f64 (neg.f64 (fma.f64 z z z)) x))
(/.f64 (/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z) #s(literal 1 binary64))
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
(/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z)
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (/.f64 (neg.f64 (fma.f64 z z z)) y)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 (fma.f64 z z z) x) y) (neg.f64 z)))
(/.f64 (pow.f64 (fma.f64 z z z) #s(literal -1 binary64)) (*.f64 (/.f64 z x) (pow.f64 y #s(literal -1 binary64))))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (/.f64 (fma.f64 z z z) x) y))
(/.f64 (/.f64 x (fma.f64 z z z)) (/.f64 z y))
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(fma.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 z z) (pow.f64 x #s(literal -1 binary64))))
(fma.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) x) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z z)))
(fma.f64 (*.f64 z z) (pow.f64 x #s(literal -1 binary64)) (/.f64 z x))
(fma.f64 #s(literal 1 binary64) (/.f64 z x) (*.f64 (*.f64 z z) (pow.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 z x) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z z)))
(fma.f64 z (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 z z) (pow.f64 x #s(literal -1 binary64))))
(fma.f64 z (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z z)))
(fma.f64 z (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 z z) (pow.f64 x #s(literal -1 binary64))))
(fma.f64 z (pow.f64 x #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z z)))
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 z (-.f64 z #s(literal 1 binary64))) x)) (/.f64 (*.f64 z z) (*.f64 (*.f64 z (-.f64 z #s(literal 1 binary64))) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 z (-.f64 z #s(literal 1 binary64)))) x) (/.f64 (*.f64 z (/.f64 z (*.f64 z (-.f64 z #s(literal 1 binary64))))) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (neg.f64 (fma.f64 z z z)) x))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 z z z)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 z z z))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 z z) (pow.f64 x #s(literal -1 binary64))) (/.f64 z x))
(+.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z z)) (/.f64 z x))
(+.f64 (/.f64 z x) (*.f64 (*.f64 z z) (pow.f64 x #s(literal -1 binary64))))
(+.f64 (/.f64 z x) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z z)))

eval512.0ms (7%)

Memory
-130.4MiB live, 370.8MiB allocated
Compiler

Compiled 29 706 to 4 466 computations (85% saved)

prune89.0ms (1.2%)

Memory
-24.9MiB live, 96.7MiB allocated
Pruning

21 alts after pruning (16 fresh and 5 done)

PrunedKeptTotal
New1 494121 506
Fresh6410
Picked145
Done011
Total1 501211 522
Accuracy
100.0%
Counts
1 522 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.5%
(/.f64 (/.f64 y (fma.f64 z z z)) (/.f64 z x))
92.4%
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y)))
93.9%
(/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z)
83.3%
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
79.9%
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))
83.3%
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
67.0%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
93.3%
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z))
67.1%
(/.f64 x (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) y))
91.3%
(/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 z y) z)))
90.6%
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
66.6%
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))))
90.3%
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
96.4%
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
67.1%
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
72.9%
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
84.8%
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
84.2%
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
63.2%
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) (/.f64 x z))
73.6%
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z))
79.9%
#s(approx (* (/ y (+ (* z z) z)) (/ x z)) (*.f64 (/.f64 (/.f64 x z) z) y))
Compiler

Compiled 482 to 343 computations (28.8% saved)

simplify68.0ms (0.9%)

Memory
-2.5MiB live, 35.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 z y) z)
cost-diff0
(+.f64 #s(literal 1 binary64) z)
cost-diff0
(/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 z y) z)))
cost-diff1
(*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 z y) z))
cost-diff0
#s(approx (/ (+ (* z z) z) x) (/.f64 z x))
cost-diff0
(*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))
cost-diff0
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))
cost-diff2
(*.f64 y #s(literal 1 binary64))
cost-diff0
(/.f64 z y)
cost-diff0
#s(approx (/ (+ (* z z) z) y) (/.f64 z y))
cost-diff0
(*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))
cost-diff0
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))))
cost-diff0
(*.f64 z z)
cost-diff0
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
cost-diff0
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
cost-diff0
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
cost-diff0
(/.f64 z x)
cost-diff0
(fma.f64 z z z)
cost-diff0
(/.f64 y (fma.f64 z z z))
cost-diff0
(/.f64 (/.f64 y (fma.f64 z z z)) (/.f64 z x))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030196
048191
191187
2217187
3483187
41240187
51461187
61746187
71853187
81898187
91898187
101953187
112082187
122113187
132137187
142137187
152137187
02137187
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 y (fma.f64 z z z)) (/.f64 z x))
(/.f64 y (fma.f64 z z z))
y
(fma.f64 z z z)
z
(/.f64 z x)
x
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
x
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
z
y
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))))
x
(*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))
z
#s(approx (/ (+ (* z z) z) y) (/.f64 z y))
(/.f64 z y)
y
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))
(*.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))
z
#s(approx (/ (+ (* z z) z) x) (/.f64 z x))
(/.f64 z x)
x
(/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 z y) z)))
x
(*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 z y) z))
(+.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(*.f64 (/.f64 z y) z)
(/.f64 z y)
y
Outputs
(/.f64 (/.f64 y (fma.f64 z z z)) (/.f64 z x))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 y (fma.f64 z z z))
y
(fma.f64 z z z)
z
(/.f64 z x)
x
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
x
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
z
y
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))))
(/.f64 (/.f64 x z) #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))
x
(*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))
(*.f64 #s(approx (/ (+ (* z z) z) y) (/.f64 z y)) z)
z
#s(approx (/ (+ (* z z) z) y) (/.f64 z y))
(/.f64 z y)
y
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))
(/.f64 (/.f64 y z) #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))
(*.f64 y #s(literal 1 binary64))
y
y
#s(literal 1 binary64)
(*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))
(*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)
z
#s(approx (/ (+ (* z z) z) x) (/.f64 z x))
(/.f64 z x)
x
(/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 z y) z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
x
(*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 z y) z))
(*.f64 (/.f64 (fma.f64 z z z) y) z)
(+.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(*.f64 (/.f64 z y) z)
(/.f64 z y)
y

localize115.0ms (1.6%)

Memory
-3.8MiB live, 82.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 #s(literal 1 binary64) z)
accuracy0.08203125
(*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 z y) z))
accuracy0.140625
(*.f64 (/.f64 z y) z)
accuracy5.5243566009016245
(/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 z y) z)))
accuracy0.0
(*.f64 y #s(literal 1 binary64))
accuracy0.12109375
(*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))
accuracy4.219421725556894
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))
accuracy27.299783215099907
#s(approx (/ (+ (* z z) z) x) (/.f64 z x))
accuracy0.0
(/.f64 z y)
accuracy0.13671875
(*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))
accuracy5.5243566009016245
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))))
accuracy30.808432133315502
#s(approx (/ (+ (* z z) z) y) (/.f64 z y))
accuracy0.0
(*.f64 z z)
accuracy4.215515475556894
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
accuracy7.856770188039302
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
accuracy26.398120042564354
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy0.0
(fma.f64 z z z)
accuracy0.0
(/.f64 z x)
accuracy1.0924874658832167
(/.f64 (/.f64 y (fma.f64 z z z)) (/.f64 z x))
accuracy5.093244736757575
(/.f64 y (fma.f64 z z z))
Samples
100.0ms256×0valid
Compiler

Compiled 171 to 27 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-add: 39.0ms (48.3% of total)
ival-mult: 26.0ms (32.2% of total)
ival-div: 15.0ms (18.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series28.0ms (0.4%)

Memory
-3.8MiB live, 32.2MiB allocated
Counts
20 → 68
Calls
Call 1
Inputs
(/.f64 (/.f64 y (fma.f64 z z z)) (/.f64 z x))
(/.f64 y (fma.f64 z z z))
(fma.f64 z z z)
(/.f64 z x)
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))))
(*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))
#s(approx (/ (+ (* z z) z) y) (/.f64 z y))
(/.f64 z y)
(*.f64 y #s(literal 1 binary64))
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))
(*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))
#s(approx (/ (+ (* z z) z) x) (/.f64 z x))
(*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 z y) z))
(/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 z y) z)))
(+.f64 #s(literal 1 binary64) z)
(*.f64 (/.f64 z y) z)
Outputs
(/ (* x y) (* z (+ z (pow z 2))))
(/ z x)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ x (* (pow z 2) (+ 1 z)))
(/ (* z (+ z (pow z 2))) x)
(/ (+ z (pow z 2)) x)
(/ y (+ z (pow z 2)))
(/ (* z (+ z (pow z 2))) y)
(/ (+ z (pow z 2)) y)
(/ z y)
y
(/ (* (pow z 2) (+ 1 z)) y)
(/ (pow z 2) y)
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ y z)
(/ (+ y (* -1 (* y z))) z)
(/ (+ y (* z (- (* y z) y))) z)
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z)
z
(* z (+ 1 z))
(/ x (pow z 2))
(/ (+ x (* -1 (* x z))) (pow z 2))
(/ (+ x (* z (- (* x z) x))) (pow z 2))
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 z))
(* (pow z 2) (+ (/ 1 y) (/ z y)))
(* z (+ (/ 1 y) (/ z y)))
(/ (pow z 2) x)
(* (pow z 2) (+ (/ 1 x) (/ z x)))
(* z (+ (/ 1 x) (/ z x)))
1
(+ 1 z)
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ y (pow z 2))
(/ (+ y (* -1 (/ y z))) (pow z 2))
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 2))
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 2))
(* (pow z 2) (+ 1 (/ 1 z)))
(/ x (pow z 3))
(/ (+ x (* -1 (/ x z))) (pow z 3))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(/ (pow z 3) y)
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(/ (pow z 3) x)
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z))))
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(* z (+ 1 (/ 1 z)))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) (pow z 2))
(/ (+ y (* -1 (/ (- (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z)) (* -1 y)) z))) (pow z 2))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x z) x) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x z) x) z)) x) z))) (pow z 3)))
Calls

9 calls:

TimeVariablePointExpression
6.0ms
z
@-inf
((/ (/ y (+ (* z z) z)) (/ z x)) (/ y (+ (* z z) z)) (+ (* z z) z) (/ z x) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ x (* z (/ (+ (* z z) z) y))) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (/ z y) (* y 1) (/ (* y 1) (* z (/ (+ (* z z) z) x))) (* z (/ (+ (* z z) z) x)) (/ (+ (* z z) z) x) (* (+ 1 z) (* (/ z y) z)) (/ x (* (+ 1 z) (* (/ z y) z))) (+ 1 z) (* (/ z y) z))
3.0ms
y
@-inf
((/ (/ y (+ (* z z) z)) (/ z x)) (/ y (+ (* z z) z)) (+ (* z z) z) (/ z x) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ x (* z (/ (+ (* z z) z) y))) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (/ z y) (* y 1) (/ (* y 1) (* z (/ (+ (* z z) z) x))) (* z (/ (+ (* z z) z) x)) (/ (+ (* z z) z) x) (* (+ 1 z) (* (/ z y) z)) (/ x (* (+ 1 z) (* (/ z y) z))) (+ 1 z) (* (/ z y) z))
3.0ms
x
@-inf
((/ (/ y (+ (* z z) z)) (/ z x)) (/ y (+ (* z z) z)) (+ (* z z) z) (/ z x) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ x (* z (/ (+ (* z z) z) y))) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (/ z y) (* y 1) (/ (* y 1) (* z (/ (+ (* z z) z) x))) (* z (/ (+ (* z z) z) x)) (/ (+ (* z z) z) x) (* (+ 1 z) (* (/ z y) z)) (/ x (* (+ 1 z) (* (/ z y) z))) (+ 1 z) (* (/ z y) z))
3.0ms
z
@inf
((/ (/ y (+ (* z z) z)) (/ z x)) (/ y (+ (* z z) z)) (+ (* z z) z) (/ z x) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ x (* z (/ (+ (* z z) z) y))) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (/ z y) (* y 1) (/ (* y 1) (* z (/ (+ (* z z) z) x))) (* z (/ (+ (* z z) z) x)) (/ (+ (* z z) z) x) (* (+ 1 z) (* (/ z y) z)) (/ x (* (+ 1 z) (* (/ z y) z))) (+ 1 z) (* (/ z y) z))
2.0ms
y
@inf
((/ (/ y (+ (* z z) z)) (/ z x)) (/ y (+ (* z z) z)) (+ (* z z) z) (/ z x) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ x (* z (/ (+ (* z z) z) y))) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (/ z y) (* y 1) (/ (* y 1) (* z (/ (+ (* z z) z) x))) (* z (/ (+ (* z z) z) x)) (/ (+ (* z z) z) x) (* (+ 1 z) (* (/ z y) z)) (/ x (* (+ 1 z) (* (/ z y) z))) (+ 1 z) (* (/ z y) z))

simplify168.0ms (2.3%)

Memory
27.2MiB live, 145.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0191740
1576694
21432641
35479616
08140589
Stop Event
iter limit
node limit
Counts
68 → 66
Calls
Call 1
Inputs
(/ (* x y) (* z (+ z (pow z 2))))
(/ z x)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ x (* (pow z 2) (+ 1 z)))
(/ (* z (+ z (pow z 2))) x)
(/ (+ z (pow z 2)) x)
(/ y (+ z (pow z 2)))
(/ (* z (+ z (pow z 2))) y)
(/ (+ z (pow z 2)) y)
(/ z y)
y
(/ (* (pow z 2) (+ 1 z)) y)
(/ (pow z 2) y)
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ y z)
(/ (+ y (* -1 (* y z))) z)
(/ (+ y (* z (- (* y z) y))) z)
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z)
z
(* z (+ 1 z))
(/ x (pow z 2))
(/ (+ x (* -1 (* x z))) (pow z 2))
(/ (+ x (* z (- (* x z) x))) (pow z 2))
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 z))
(* (pow z 2) (+ (/ 1 y) (/ z y)))
(* z (+ (/ 1 y) (/ z y)))
(/ (pow z 2) x)
(* (pow z 2) (+ (/ 1 x) (/ z x)))
(* z (+ (/ 1 x) (/ z x)))
1
(+ 1 z)
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ y (pow z 2))
(/ (+ y (* -1 (/ y z))) (pow z 2))
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 2))
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 2))
(* (pow z 2) (+ 1 (/ 1 z)))
(/ x (pow z 3))
(/ (+ x (* -1 (/ x z))) (pow z 3))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(/ (pow z 3) y)
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(/ (pow z 3) x)
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z))))
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(* z (+ 1 (/ 1 z)))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) (pow z 2))
(/ (+ y (* -1 (/ (- (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z)) (* -1 y)) z))) (pow z 2))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x z) x) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x z) x) z)) x) z))) (pow z 3)))
Outputs
(/ (* x y) (* z (+ z (pow z 2))))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(/ z x)
(/.f64 z x)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(/ x (* (pow z 2) (+ 1 z)))
(/.f64 x (*.f64 (fma.f64 z z z) z))
(/ (* z (+ z (pow z 2))) x)
(*.f64 (/.f64 (fma.f64 z z z) x) z)
(/ (+ z (pow z 2)) x)
(/.f64 (fma.f64 z z z) x)
(/ y (+ z (pow z 2)))
(/.f64 y (fma.f64 z z z))
(/ (* z (+ z (pow z 2))) y)
(*.f64 (/.f64 (fma.f64 z z z) y) z)
(/ (+ z (pow z 2)) y)
(/.f64 (fma.f64 z z z) y)
(/ z y)
(/.f64 z y)
y
(/ (* (pow z 2) (+ 1 z)) y)
(*.f64 (/.f64 (fma.f64 z z z) y) z)
(/ (pow z 2) y)
(*.f64 (/.f64 z y) z)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 x z) (/.f64 y z))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 x y)) (*.f64 z z))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) (*.f64 z z))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 x y))) (*.f64 z z))
(/ y z)
(/.f64 y z)
(/ (+ y (* -1 (* y z))) z)
(/.f64 (fma.f64 (neg.f64 y) z y) z)
(/ (+ y (* z (- (* y z) y))) z)
(/.f64 (fma.f64 (-.f64 (*.f64 z y) y) z y) z)
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z)
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (fma.f64 (neg.f64 y) z y)) z)
z
(* z (+ 1 z))
(fma.f64 z z z)
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ (+ x (* -1 (* x z))) (pow z 2))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) z x) z) z)
(/ (+ x (* z (- (* x z) x))) (pow z 2))
(/.f64 (/.f64 (fma.f64 (-.f64 (*.f64 x z) x) z x) z) z)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2))
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (fma.f64 (neg.f64 x) z x)) (*.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
(* (pow z 2) (+ (/ 1 y) (/ z y)))
(*.f64 (/.f64 (fma.f64 z z z) y) z)
(* z (+ (/ 1 y) (/ z y)))
(/.f64 (fma.f64 z z z) y)
(/ (pow z 2) x)
(*.f64 (/.f64 z x) z)
(* (pow z 2) (+ (/ 1 x) (/ z x)))
(*.f64 (/.f64 (fma.f64 z z z) x) z)
(* z (+ (/ 1 x) (/ z x)))
(/.f64 (fma.f64 z z z) x)
1
#s(literal 1 binary64)
(+ 1 z)
(+.f64 #s(literal 1 binary64) z)
(/ (* x y) (pow z 3))
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) y)
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (-.f64 y (/.f64 y z)))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/.f64 (*.f64 (-.f64 x (/.f64 x z)) (+.f64 (/.f64 (/.f64 y z) z) y)) (pow.f64 z #s(literal 3 binary64)))
(/ y (pow z 2))
(/.f64 (/.f64 y z) z)
(/ (+ y (* -1 (/ y z))) (pow z 2))
(/.f64 (/.f64 (-.f64 y (/.f64 y z)) z) z)
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 2))
(/.f64 (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z) z)
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 2))
(/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z)) (*.f64 z z))
(* (pow z 2) (+ 1 (/ 1 z)))
(fma.f64 z z z)
(/ x (pow z 3))
(/.f64 x (pow.f64 z #s(literal 3 binary64)))
(/ (+ x (* -1 (/ x z))) (pow z 3))
(/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3))
(/.f64 (*.f64 (-.f64 (/.f64 x z) x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal -1 binary64))) (pow.f64 z #s(literal 3 binary64)))
(pow z 3)
(pow.f64 z #s(literal 3 binary64))
(* (pow z 3) (+ 1 (/ 1 z)))
(*.f64 (fma.f64 z z z) z)
(/ (pow z 3) y)
(/.f64 (pow.f64 z #s(literal 3 binary64)) y)
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(*.f64 (/.f64 (fma.f64 z z z) y) z)
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(/.f64 (fma.f64 z z z) y)
(/ (pow z 3) x)
(/.f64 (pow.f64 z #s(literal 3 binary64)) x)
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z))))
(*.f64 (/.f64 (fma.f64 z z z) x) z)
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(/.f64 (fma.f64 z z z) x)
(* z (+ 1 (/ 1 z)))
(+.f64 #s(literal 1 binary64) z)
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (-.f64 y (/.f64 y z)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(/.f64 (*.f64 (-.f64 x (/.f64 x z)) (+.f64 (/.f64 (/.f64 y z) z) y)) (pow.f64 z #s(literal 3 binary64)))
(/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) (pow z 2))
(/.f64 (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z) z)
(/ (+ y (* -1 (/ (- (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z)) (* -1 y)) z))) (pow z 2))
(/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z)) (*.f64 z z))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(/.f64 (*.f64 (-.f64 x (/.f64 x z)) (+.f64 (/.f64 (/.f64 y z) z) y)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3)))
(/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x z) x) z))) (pow z 3)))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x z) x) z)) x) z))) (pow z 3)))
(/.f64 (*.f64 (-.f64 (/.f64 x z) x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal -1 binary64))) (pow.f64 z #s(literal 3 binary64)))

rewrite165.0ms (2.3%)

Memory
-13.5MiB live, 265.3MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030173
048168
1178164
21153164
08655164
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 096
Calls
Call 1
Inputs
(/.f64 (/.f64 y (fma.f64 z z z)) (/.f64 z x))
(/.f64 y (fma.f64 z z z))
(fma.f64 z z z)
(/.f64 z x)
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))))
(*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))
#s(approx (/ (+ (* z z) z) y) (/.f64 z y))
(/.f64 z y)
(*.f64 y #s(literal 1 binary64))
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))
(*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))
#s(approx (/ (+ (* z z) z) x) (/.f64 z x))
(*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 z y) z))
(/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 z y) z)))
(+.f64 #s(literal 1 binary64) z)
(*.f64 (/.f64 z y) z)
Outputs
(*.f64 (*.f64 (/.f64 (/.f64 (neg.f64 y) (fma.f64 z z z)) z) #s(literal -1 binary64)) x)
(*.f64 (*.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z z)) #s(literal 1 binary64)) y)
(*.f64 (*.f64 (*.f64 (/.f64 y z) x) (pow.f64 (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)) #s(literal -1 binary64))) (*.f64 z (-.f64 z #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (/.f64 y z) x) (pow.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64))) (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64)))))
(*.f64 (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1 binary64)) (pow.f64 (fma.f64 z z z) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x z) (/.f64 y (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)))) (*.f64 z (-.f64 z #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 x z) (/.f64 y (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64)))))
(*.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) (fma.f64 z z z))) (neg.f64 y))
(*.f64 (*.f64 (/.f64 x z) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (/.f64 y z))
(*.f64 (*.f64 (/.f64 x z) (/.f64 y (+.f64 #s(literal 1 binary64) z))) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x z) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (fma.f64 z z z)))
(*.f64 (*.f64 (/.f64 x z) y) (pow.f64 (fma.f64 z z z) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z z))) y)
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (/.f64 (neg.f64 y) (fma.f64 z z z)) z))
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (fma.f64 z z z) y) z) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 (/.f64 (fma.f64 z z z) y) z) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 z y)) (/.f64 (-.f64 #s(literal 1 binary64) z) z))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z #s(literal -1 binary64))) (/.f64 z y)) (/.f64 (-.f64 z #s(literal 1 binary64)) z))
(*.f64 (/.f64 (/.f64 x (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 z y)) (/.f64 (fma.f64 z (-.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)) z))
(*.f64 (/.f64 (/.f64 x (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))) (pow.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 z (-.f64 z #s(literal 1 binary64))) z))
(*.f64 (/.f64 (/.f64 x (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))) (neg.f64 z)) (/.f64 (*.f64 z (-.f64 z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (/.f64 x (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))) #s(literal 1 binary64)) (/.f64 (*.f64 z (-.f64 z #s(literal 1 binary64))) (/.f64 z y)))
(*.f64 (/.f64 (/.f64 x (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))) z) (/.f64 (*.f64 z (-.f64 z #s(literal 1 binary64))) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 x (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64)))) z))
(*.f64 (/.f64 (/.f64 x (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 z)) (/.f64 (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (/.f64 x (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64)))) (/.f64 z y)))
(*.f64 (/.f64 (/.f64 x (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) z) (/.f64 (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) y)) (/.f64 x (fma.f64 z z z)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (+.f64 #s(literal 1 binary64) z) y)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1 binary64))) (/.f64 (neg.f64 x) (fma.f64 z z z)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 z z z))) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (+.f64 #s(literal 1 binary64) z)) (/.f64 (neg.f64 x) (/.f64 z y)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 z y)) (/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (/.f64 (fma.f64 z z z) y)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (fma.f64 z z z)) (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) z) y)) (/.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (/.f64 x z) (neg.f64 (fma.f64 z z z))))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 (fma.f64 z z z))) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) (/.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 (fma.f64 z z z))))
(*.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) z) y)) (/.f64 (pow.f64 z #s(literal -1 binary64)) z))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (fma.f64 z z z)) (/.f64 x (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) (/.f64 (neg.f64 x) (fma.f64 z z z)))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 z y)) (/.f64 x (+.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) z)) (/.f64 x (/.f64 z y)))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) (/.f64 x (fma.f64 z z z)))
(*.f64 (/.f64 (/.f64 y (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))) (pow.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 z (-.f64 z #s(literal 1 binary64))) z))
(*.f64 (/.f64 (/.f64 y (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64)))) z))
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eval325.0ms (4.4%)

Memory
24.4MiB live, 182.0MiB allocated
Compiler

Compiled 17 383 to 2 736 computations (84.3% saved)

prune276.0ms (3.8%)

Memory
-8.3MiB live, 64.5MiB allocated
Pruning

20 alts after pruning (13 fresh and 7 done)

PrunedKeptTotal
New9794983
Fresh2911
Picked325
Done055
Total984201 004
Accuracy
100.0%
Counts
1 004 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.6%
(/.f64 (/.f64 y z) #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))
92.4%
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 z y) z))
93.9%
(/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z)
83.3%
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
83.3%
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
67.0%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
93.3%
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z))
79.9%
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
67.1%
(/.f64 x (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) y))
91.3%
(/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 z y) z)))
90.6%
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
90.3%
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
96.4%
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
67.1%
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
84.8%
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) y)
72.9%
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
84.2%
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
63.2%
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) (/.f64 x z))
73.6%
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z))
79.9%
#s(approx (* (/ y (+ (* z z) z)) (/ x z)) (*.f64 (/.f64 (/.f64 x z) z) y))
Compiler

Compiled 444 to 311 computations (30% saved)

simplify11.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 1 (0.0ms)

IterNodesCost
027196
042196
175190
2124190
3181190
4325190
5396190
6408190
7416190
0416190
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z)
(*.f64 (/.f64 x (fma.f64 z z z)) y)
(/.f64 x (fma.f64 z z z))
x
(fma.f64 z z z)
z
y
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
y
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
z
x
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) y)
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z)))
x
#s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))
(*.f64 (fma.f64 z z z) z)
(fma.f64 z z z)
z
y
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(*.f64 y x)
y
x
(*.f64 (fma.f64 z z z) z)
(fma.f64 z z z)
z
(/.f64 (/.f64 y z) #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))
(/.f64 y z)
y
z
#s(approx (/ (+ (* z z) z) x) (/.f64 z x))
(/.f64 z x)
x
Outputs
(/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z)
(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)
(*.f64 (/.f64 x (fma.f64 z z z)) y)
(*.f64 y (/.f64 x (fma.f64 z z z)))
(/.f64 x (fma.f64 z z z))
x
(fma.f64 z z z)
z
y
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(/.f64 (*.f64 y x) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
y
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
z
x
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) y)
(/.f64 (*.f64 y x) #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z)))
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z)))
x
#s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))
(*.f64 (fma.f64 z z z) z)
(fma.f64 z z z)
z
y
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)
(*.f64 y x)
y
x
(*.f64 (fma.f64 z z z) z)
(fma.f64 z z z)
z
(/.f64 (/.f64 y z) #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))
(/.f64 y z)
y
z
#s(approx (/ (+ (* z z) z) x) (/.f64 z x))
(/.f64 z x)
x

localize332.0ms (4.5%)

Memory
-22.7MiB live, 64.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 z x)
accuracy0.0
(/.f64 y z)
accuracy2.8486414978668915
(/.f64 (/.f64 y z) #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))
accuracy27.299783215099907
#s(approx (/ (+ (* z z) z) x) (/.f64 z x))
accuracy0.0
(fma.f64 z z z)
accuracy0.0
(*.f64 y x)
accuracy0.0546875
(*.f64 (fma.f64 z z z) z)
accuracy10.569037803385099
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
accuracy0.0
#s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))
accuracy0.0546875
(*.f64 (fma.f64 z z z) z)
accuracy4.215515475556894
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) y)
accuracy7.856770188039302
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z)))
accuracy0.0
(*.f64 z z)
accuracy5.601067213606621
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
accuracy7.191452789248553
(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
accuracy26.398120042564354
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy0.0
(fma.f64 z z z)
accuracy0.9827747938053536
(/.f64 x (fma.f64 z z z))
accuracy1.1728476193166384
(/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z)
accuracy6.631522780055401
(*.f64 (/.f64 x (fma.f64 z z z)) y)
Samples
225.0ms256×0valid
Compiler

Compiled 168 to 24 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 14.0ms (52.5% of total)
ival-mult: 10.0ms (37.5% of total)
ival-add: 2.0ms (7.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series26.0ms (0.4%)

Memory
7.0MiB live, 45.2MiB allocated
Counts
18 → 73
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z)
(*.f64 (/.f64 x (fma.f64 z z z)) y)
(/.f64 x (fma.f64 z z z))
(fma.f64 z z z)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) y)
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z)))
#s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))
(*.f64 (fma.f64 z z z) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(*.f64 y x)
(/.f64 (/.f64 y z) #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))
(/.f64 y z)
#s(approx (/ (+ (* z z) z) x) (/.f64 z x))
(/.f64 z x)
Outputs
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (+ z (pow z 2)))
(/ x (+ z (pow z 2)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ x (* (pow z 2) (+ 1 z)))
(* x y)
(/ (+ z (pow z 2)) x)
(/ z x)
(/ y (* (pow z 2) (+ 1 z)))
(/ y z)
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ (* x y) z)
(/ (+ (* -1 (* x (* y z))) (* x y)) z)
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z)
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z)
(/ x z)
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* z (- (* x z) x))) z)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) z)
z
(* z (+ 1 z))
(/ y (pow z 2))
(/ (+ y (* -1 (* y z))) (pow z 2))
(/ (+ y (* z (- (* y z) y))) (pow z 2))
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 z))
(/ x (pow z 2))
(/ (+ x (* -1 (* x z))) (pow z 2))
(/ (+ x (* z (- (* x z) x))) (pow z 2))
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2))
(* z (+ (/ 1 x) (/ z x)))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 2))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 2))
(/ (+ x (* -1 (/ x z))) (pow z 2))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 2))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 2))
(* (pow z 2) (+ 1 (/ 1 z)))
(/ y (pow z 3))
(/ (+ y (* -1 (/ y z))) (pow z 3))
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 3))
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 3))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(/ x (pow z 3))
(/ (+ x (* -1 (/ x z))) (pow z 3))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3))
(/ (pow z 2) x)
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(/ (+ (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2))
(/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 2))
(/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 2))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 y) (/ y z)) (pow z 3)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ y z) y) z))) (pow z 3)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ y z) y) z)) y) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x z) x) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x z) x) z)) x) z))) (pow z 3)))
Calls

9 calls:

TimeVariablePointExpression
7.0ms
y
@-inf
((/ (* (/ x (+ (* z z) z)) y) z) (* (/ x (+ (* z z) z)) y) (/ x (+ (* z z) z)) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* (+ (* z z) z) z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (/ (/ y z) (/ (+ (* z z) z) x)) (/ y z) (/ (+ (* z z) z) x) (/ z x))
3.0ms
x
@-inf
((/ (* (/ x (+ (* z z) z)) y) z) (* (/ x (+ (* z z) z)) y) (/ x (+ (* z z) z)) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* (+ (* z z) z) z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (/ (/ y z) (/ (+ (* z z) z) x)) (/ y z) (/ (+ (* z z) z) x) (/ z x))
2.0ms
x
@inf
((/ (* (/ x (+ (* z z) z)) y) z) (* (/ x (+ (* z z) z)) y) (/ x (+ (* z z) z)) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* (+ (* z z) z) z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (/ (/ y z) (/ (+ (* z z) z) x)) (/ y z) (/ (+ (* z z) z) x) (/ z x))
2.0ms
x
@0
((/ (* (/ x (+ (* z z) z)) y) z) (* (/ x (+ (* z z) z)) y) (/ x (+ (* z z) z)) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* (+ (* z z) z) z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (/ (/ y z) (/ (+ (* z z) z) x)) (/ y z) (/ (+ (* z z) z) x) (/ z x))
2.0ms
y
@inf
((/ (* (/ x (+ (* z z) z)) y) z) (* (/ x (+ (* z z) z)) y) (/ x (+ (* z z) z)) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* (+ (* z z) z) z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (/ (/ y z) (/ (+ (* z z) z) x)) (/ y z) (/ (+ (* z z) z) x) (/ z x))

simplify149.0ms (2%)

Memory
12.5MiB live, 164.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0211970
1625844
21581805
35786767
08121744
Stop Event
iter limit
node limit
Counts
73 → 72
Calls
Call 1
Inputs
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (+ z (pow z 2)))
(/ x (+ z (pow z 2)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ x (* (pow z 2) (+ 1 z)))
(* x y)
(/ (+ z (pow z 2)) x)
(/ z x)
(/ y (* (pow z 2) (+ 1 z)))
(/ y z)
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ (* x y) z)
(/ (+ (* -1 (* x (* y z))) (* x y)) z)
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z)
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z)
(/ x z)
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* z (- (* x z) x))) z)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) z)
z
(* z (+ 1 z))
(/ y (pow z 2))
(/ (+ y (* -1 (* y z))) (pow z 2))
(/ (+ y (* z (- (* y z) y))) (pow z 2))
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 z))
(/ x (pow z 2))
(/ (+ x (* -1 (* x z))) (pow z 2))
(/ (+ x (* z (- (* x z) x))) (pow z 2))
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2))
(* z (+ (/ 1 x) (/ z x)))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 2))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 2))
(/ (+ x (* -1 (/ x z))) (pow z 2))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 2))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 2))
(* (pow z 2) (+ 1 (/ 1 z)))
(/ y (pow z 3))
(/ (+ y (* -1 (/ y z))) (pow z 3))
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 3))
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 3))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(/ x (pow z 3))
(/ (+ x (* -1 (/ x z))) (pow z 3))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3))
(/ (pow z 2) x)
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(/ (+ (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2))
(/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 2))
(/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 2))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 y) (/ y z)) (pow z 3)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ y z) y) z))) (pow z 3)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ y z) y) z)) y) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x z) x) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x z) x) z)) x) z))) (pow z 3)))
Outputs
(/ (* x y) (* z (+ z (pow z 2))))
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
(/ (* x y) (+ z (pow z 2)))
(*.f64 (/.f64 y (fma.f64 z z z)) x)
(/ x (+ z (pow z 2)))
(/.f64 x (fma.f64 z z z))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
(/ x (* (pow z 2) (+ 1 z)))
(/.f64 (/.f64 x (fma.f64 z z z)) z)
(* x y)
(*.f64 y x)
(/ (+ z (pow z 2)) x)
(/.f64 (fma.f64 z z z) x)
(/ z x)
(/.f64 z x)
(/ y (* (pow z 2) (+ 1 z)))
(/.f64 y (*.f64 (fma.f64 z z z) z))
(/ y z)
(/.f64 y z)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) (*.f64 z z))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 y z) y) z y)) (*.f64 z z))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))) (*.f64 z z))
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ (+ (* -1 (* x (* y z))) (* x y)) z)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) z)
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z)
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 y z) y) z y)) z)
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z)
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))) z)
(/ x z)
(/.f64 x z)
(/ (+ x (* -1 (* x z))) z)
(/.f64 (fma.f64 (neg.f64 x) z x) z)
(/ (+ x (* z (- (* x z) x))) z)
(/.f64 (fma.f64 (-.f64 (*.f64 z x) x) z x) z)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) z)
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (fma.f64 (neg.f64 x) z x)) z)
z
(* z (+ 1 z))
(fma.f64 z z z)
(/ y (pow z 2))
(/.f64 (/.f64 y z) z)
(/ (+ y (* -1 (* y z))) (pow z 2))
(/.f64 (/.f64 (fma.f64 (neg.f64 y) z y) z) z)
(/ (+ y (* z (- (* y z) y))) (pow z 2))
(/.f64 (/.f64 (fma.f64 (-.f64 (*.f64 y z) y) z y) z) z)
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (pow z 2))
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (fma.f64 (neg.f64 y) z y)) (*.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
(/ x (pow z 2))
(/.f64 (/.f64 x z) z)
(/ (+ x (* -1 (* x z))) (pow z 2))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) z x) z) z)
(/ (+ x (* z (- (* x z) x))) (pow z 2))
(/.f64 (/.f64 (fma.f64 (-.f64 (*.f64 z x) x) z x) z) z)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2))
(/.f64 (/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (fma.f64 (neg.f64 x) z x)) z) z)
(* z (+ (/ 1 x) (/ z x)))
(/.f64 (fma.f64 z z z) x)
(/ (* x y) (pow z 3))
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x)
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 x z)))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/.f64 (*.f64 (-.f64 x (/.f64 x z)) (+.f64 (/.f64 (/.f64 y z) z) y)) (pow.f64 z #s(literal 3 binary64)))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2))
(*.f64 y (/.f64 (/.f64 (-.f64 x (/.f64 x z)) z) z))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 2))
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (*.f64 z z))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 2))
(/.f64 (*.f64 (-.f64 x (/.f64 x z)) (+.f64 (/.f64 (/.f64 y z) z) y)) (*.f64 z z))
(/ (+ x (* -1 (/ x z))) (pow z 2))
(/.f64 (/.f64 (-.f64 x (/.f64 x z)) z) z)
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 2))
(/.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) z) z)
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 2))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x z)) z) x) z) x) z) z)
(* (pow z 2) (+ 1 (/ 1 z)))
(fma.f64 z z z)
(/ y (pow z 3))
(/.f64 y (pow.f64 z #s(literal 3 binary64)))
(/ (+ y (* -1 (/ y z))) (pow z 3))
(/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 3))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 3))
(/.f64 (*.f64 (-.f64 (/.f64 y z) y) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) #s(literal -1 binary64))) (pow.f64 z #s(literal 3 binary64)))
(pow z 3)
(pow.f64 z #s(literal 3 binary64))
(* (pow z 3) (+ 1 (/ 1 z)))
(*.f64 (fma.f64 z z z) z)
(/ x (pow z 3))
(/.f64 x (pow.f64 z #s(literal 3 binary64)))
(/ (+ x (* -1 (/ x z))) (pow z 3))
(/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3))
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x z)) z) x) z) x) (pow.f64 z #s(literal 3 binary64)))
(/ (pow z 2) x)
(*.f64 (/.f64 z x) z)
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(/.f64 (fma.f64 z z z) x)
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 x z)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(/.f64 (*.f64 (-.f64 x (/.f64 x z)) (+.f64 (/.f64 (/.f64 y z) z) y)) (pow.f64 z #s(literal 3 binary64)))
(/ (+ (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2))
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (*.f64 z z))
(/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2))
(/.f64 (*.f64 (-.f64 x (/.f64 x z)) (+.f64 (/.f64 (/.f64 y z) z) y)) (*.f64 z z))
(/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 2))
(/.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) z) z)
(/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 2))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x z)) z) x) z) x) z) z)
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(/.f64 (*.f64 (-.f64 x (/.f64 x z)) (+.f64 (/.f64 (/.f64 y z) z) y)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 y) (/ y z)) (pow z 3)))
(/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ y z) y) z))) (pow z 3)))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ y z) y) z)) y) z))) (pow z 3)))
(/.f64 (*.f64 (-.f64 (/.f64 y z) y) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) #s(literal -1 binary64))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3)))
(/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x z) x) z))) (pow z 3)))
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x z) x) z)) x) z))) (pow z 3)))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x z)) z) x) z) x) (pow.f64 z #s(literal 3 binary64)))

rewrite184.0ms (2.5%)

Memory
-16.8MiB live, 217.0MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027167
042167
1149161
2840161
08430161
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 296
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z)
(*.f64 (/.f64 x (fma.f64 z z z)) y)
(/.f64 x (fma.f64 z z z))
(fma.f64 z z z)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) y)
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z)))
#s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))
(*.f64 (fma.f64 z z z) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(*.f64 y x)
(/.f64 (/.f64 y z) #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))
(/.f64 y z)
#s(approx (/ (+ (* z z) z) x) (/.f64 z x))
(/.f64 z x)
Outputs
(*.f64 (/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)))) (*.f64 z (-.f64 z #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64)))))
(*.f64 (/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))) (fma.f64 (neg.f64 z) z z))
(*.f64 (/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64))))))
(*.f64 (/.f64 (*.f64 (/.f64 x z) y) (*.f64 (fma.f64 z z #s(literal -1 binary64)) z)) (-.f64 z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 x z) y) (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) z)) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (*.f64 (/.f64 x z) y) (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (-.f64 z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 x z) y) (+.f64 (pow.f64 z #s(literal 4 binary64)) z)) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (*.f64 (/.f64 x z) y) (*.f64 z (-.f64 z (pow.f64 z #s(literal 3 binary64))))) (*.f64 z (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (*.f64 (/.f64 x z) y) (neg.f64 (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)))) (fma.f64 (neg.f64 z) z z))
(*.f64 (/.f64 (*.f64 (/.f64 x z) y) (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64))))))
(*.f64 (/.f64 (/.f64 y z) (/.f64 (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)) x)) (*.f64 z (-.f64 z #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 y z) (/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))) x)) (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64)))))
(*.f64 (/.f64 (/.f64 y z) (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))) (*.f64 x (*.f64 z (-.f64 z #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 y z) (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))) (*.f64 (*.f64 z (-.f64 z #s(literal 1 binary64))) x))
(*.f64 (/.f64 (/.f64 y z) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 x (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64))))))
(*.f64 (/.f64 (/.f64 y z) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64)))) x))
(*.f64 (/.f64 (*.f64 y x) (*.f64 (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)) z)) (*.f64 z (-.f64 z #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 y x) (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))) z)) (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64)))))
(*.f64 (/.f64 (*.f64 y x) (*.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) z) z)) (-.f64 z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 y x) (*.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) z) z)) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 5 binary64)) (neg.f64 (pow.f64 z #s(literal 3 binary64))))) (*.f64 z (-.f64 z #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 y x) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64)))) (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64)))))
(*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (*.f64 y x) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 z (*.f64 z (-.f64 z #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 z #s(literal 6 binary64)))) (+.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 5 binary64)))))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)) (neg.f64 y))
(*.f64 (/.f64 (*.f64 (/.f64 x z) y) (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))) (*.f64 z (-.f64 z #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 x z) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (-.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 3 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 x z) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64)))))
(*.f64 (/.f64 (/.f64 y z) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (fma.f64 z z z)))
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 y x) (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)))) (*.f64 z (-.f64 z #s(literal 1 binary64))))
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64)))))
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) z))) (/.f64 x z))
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) z))) (/.f64 y z))
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y x)) (pow.f64 (fma.f64 z z z) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x z) (/.f64 y (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)))) (*.f64 z (-.f64 z #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 x z) (/.f64 y (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64)))))
(*.f64 (*.f64 (/.f64 y z) (/.f64 x (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)))) (*.f64 z (-.f64 z #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 y z) (/.f64 x (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64)))))
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(/.f64 (neg.f64 y) (*.f64 (/.f64 (neg.f64 (fma.f64 z z z)) x) z))
(/.f64 (neg.f64 y) (*.f64 (neg.f64 (fma.f64 z z z)) (/.f64 z x)))
(/.f64 (/.f64 y z) (/.f64 (fma.f64 z z z) x))
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y (/.f64 x (fma.f64 z z z)))))
(/.f64 (/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z) #s(literal 1 binary64))
(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z))
(/.f64 y (*.f64 (/.f64 (neg.f64 (fma.f64 z z z)) x) (neg.f64 z)))
(/.f64 (/.f64 x (fma.f64 z z z)) (/.f64 z y))
(/.f64 x (neg.f64 (*.f64 (neg.f64 (fma.f64 z z z)) (/.f64 z y))))
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 x (*.f64 (/.f64 (fma.f64 z z z) y) z))
(/.f64 x (*.f64 (/.f64 (neg.f64 z) y) (neg.f64 (fma.f64 z z z))))
(/.f64 x (*.f64 (/.f64 z y) (fma.f64 z z z)))
(/.f64 x (/.f64 (*.f64 (fma.f64 z z z) z) y))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 y (/.f64 x (fma.f64 z z z))))))
(neg.f64 (/.f64 (/.f64 y z) (/.f64 (neg.f64 (fma.f64 z z z)) x)))
(neg.f64 (/.f64 (/.f64 (neg.f64 y) z) (/.f64 (fma.f64 z z z) x)))
(neg.f64 (/.f64 (/.f64 (neg.f64 x) (fma.f64 z z z)) (/.f64 z y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z)))))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (fma.f64 z z z))) (*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))))
(exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 y (/.f64 x (fma.f64 z z z))))) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) y)
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 x))
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 y x)
(*.f64 x y)
(neg.f64 (*.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y))
(*.f64 (/.f64 (pow.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) #s(literal -1 binary64)) (neg.f64 z)) (neg.f64 y))
(*.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) y)
(*.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) #s(literal -1 binary64)) (neg.f64 y)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) #s(literal -1 binary64)) y) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 z y) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 z y) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))
(*.f64 (/.f64 (pow.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 y z))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))
(*.f64 (pow.f64 (/.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) (neg.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 (/.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) y) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) y)
(*.f64 (/.f64 y #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 y) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) (/.f64 (neg.f64 y) z))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 y) z) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (pow.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))
(*.f64 (pow.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) #s(literal -1 binary64)) (/.f64 y z))
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))
(*.f64 (neg.f64 y) (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))))
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) #s(literal -1 binary64))))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))))
(*.f64 (/.f64 (/.f64 y z) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) #s(literal 1 binary64))
(*.f64 (/.f64 y z) (/.f64 (pow.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 y z) (pow.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))
(*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))))
(*.f64 y (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))
(pow.f64 (*.f64 (/.f64 z y) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 (neg.f64 y) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) #s(literal -1 binary64)) z)
(/.f64 (/.f64 (/.f64 y #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64)) #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) (neg.f64 y))) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) z)
(/.f64 (*.f64 y (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) (neg.f64 z))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) #s(literal -1 binary64))) (/.f64 (neg.f64 z) y))
(/.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 z) y))
(/.f64 (*.f64 (/.f64 y z) #s(literal -1 binary64)) (neg.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 y #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) z)
(/.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) #s(literal -1 binary64)) (neg.f64 y)) (neg.f64 z))
(/.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) #s(literal -1 binary64)) y) z)
(/.f64 (*.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)) (neg.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))
(/.f64 (neg.f64 (/.f64 (neg.f64 y) #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) z)
(/.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 (neg.f64 z) (neg.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))))
(/.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 z) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))
(/.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (/.f64 y #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) z)
(/.f64 (/.f64 (neg.f64 y) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) (neg.f64 z))
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) (/.f64 (neg.f64 z) y))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 z) y) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z y) (neg.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) (/.f64 (neg.f64 z) y)))
(/.f64 (pow.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) #s(literal -1 binary64)) (/.f64 z y))
(/.f64 (/.f64 (neg.f64 y) z) (neg.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))
(/.f64 (neg.f64 y) (*.f64 (neg.f64 z) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))
(/.f64 (/.f64 (/.f64 y z) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) #s(literal 1 binary64))
(/.f64 (/.f64 y z) #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (/.f64 (neg.f64 y) #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))
(/.f64 y (neg.f64 (*.f64 (neg.f64 z) #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))))
(/.f64 y (*.f64 (neg.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) (neg.f64 z)))
(/.f64 y (*.f64 (neg.f64 z) (neg.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))))
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
(neg.f64 (/.f64 (/.f64 (neg.f64 y) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) z))
(neg.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) #s(literal -1 binary64)) (/.f64 (neg.f64 y) z)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 y) z) #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))))
(neg.f64 (/.f64 (/.f64 (neg.f64 y) z) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) (/.f64 (/.f64 (neg.f64 y) z) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) (/.f64 (/.f64 (neg.f64 y) z) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 y) z) #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z y) #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) y)
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 y z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 y (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(/.f64 (/.f64 y #s(literal 1 binary64)) z)
(/.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) z)
(/.f64 (*.f64 y #s(literal -1 binary64)) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 y) (neg.f64 z))
(/.f64 (/.f64 y z) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 z y))
(/.f64 y z)
(neg.f64 (*.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 y) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 y) z))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))
(*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))
#s(approx (/ (+ (* z z) z) x) (/.f64 z x))
(/.f64 (neg.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x))) #s(literal -1 binary64))
(/.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))
(*.f64 (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) z)
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 z x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z x))
(*.f64 z (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (/.f64 x z) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(/.f64 (neg.f64 z) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x z))
(/.f64 z x)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x z)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) x)))
(neg.f64 (/.f64 (neg.f64 z) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (neg.f64 z) x))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal -1 binary64)))

eval191.0ms (2.6%)

Memory
38.1MiB live, 309.3MiB allocated
Compiler

Compiled 30 995 to 4 052 computations (86.9% saved)

prune94.0ms (1.3%)

Memory
-34.7MiB live, 95.7MiB allocated
Pruning

20 alts after pruning (9 fresh and 11 done)

PrunedKeptTotal
New1 47531 478
Fresh268
Picked055
Done167
Total1 478201 498
Accuracy
100.0%
Counts
1 498 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.6%
(/.f64 (/.f64 y z) #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))
92.4%
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 z y) z))
93.9%
(/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z)
73.4%
(/.f64 (*.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) y) z)
83.3%
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
83.3%
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
67.0%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
93.3%
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z))
79.9%
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
91.3%
(/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 z y) z)))
90.6%
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
90.3%
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
96.4%
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
84.2%
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x)
67.1%
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
84.8%
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) y)
72.9%
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
63.2%
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) (/.f64 x z))
73.6%
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z))
66.0%
(*.f64 #s(approx (/ y (* (* z z) (+ z 1))) (/.f64 (/.f64 y z) z)) x)
Compiler

Compiled 732 to 300 computations (59% saved)

regimes79.0ms (1.1%)

Memory
30.1MiB live, 105.7MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
#s(approx (* (/ y (+ (* z z) z)) (/ x z)) (*.f64 (/.f64 (/.f64 x z) z) y))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 #s(approx (/ y (* (* z z) (+ z 1))) (/.f64 (/.f64 y z) z)) x)
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x)
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))))
(/.f64 x (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) y))
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) y) z)
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z))
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z)
(/.f64 (/.f64 y z) #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))
(/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 z y) z)))
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) (/.f64 x z))
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x)))
(/.f64 (/.f64 y z) (/.f64 (fma.f64 z z z) x))
(/.f64 (/.f64 y (fma.f64 z z z)) (/.f64 z x))
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y)))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 z y) z))
Outputs
(/.f64 (/.f64 y (fma.f64 z z z)) (/.f64 z x))
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal 1 binary64) z)))
Calls

6 calls:

28.0ms
z
13.0ms
y
10.0ms
x
9.0ms
(*.f64 x y)
9.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
98.3%2x
96.5%1y
96.5%1z
98.3%2(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
98.3%2(*.f64 x y)
96.5%1(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes42.0ms (0.6%)

Memory
-9.9MiB live, 67.6MiB allocated
Counts
32 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
#s(approx (* (/ y (+ (* z z) z)) (/ x z)) (*.f64 (/.f64 (/.f64 x z) z) y))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 #s(approx (/ y (* (* z z) (+ z 1))) (/.f64 (/.f64 y z) z)) x)
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x)
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))))
(/.f64 x (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) y))
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) y) z)
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z))
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z)
(/.f64 (/.f64 y z) #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))
(/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 z y) z)))
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) (/.f64 x z))
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x)))
(/.f64 (/.f64 y z) (/.f64 (fma.f64 z z z) x))
(/.f64 (/.f64 y (fma.f64 z z z)) (/.f64 z x))
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z)))
Outputs
(/.f64 (/.f64 y (fma.f64 z z z)) (/.f64 z x))
Calls

4 calls:

13.0ms
(*.f64 x y)
11.0ms
y
9.0ms
x
8.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
96.5%1y
96.5%1x
96.5%1(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
96.5%1(*.f64 x y)
Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes52.0ms (0.7%)

Memory
-3.6MiB live, 72.9MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
#s(approx (* (/ y (+ (* z z) z)) (/ x z)) (*.f64 (/.f64 (/.f64 x z) z) y))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 #s(approx (/ y (* (* z z) (+ z 1))) (/.f64 (/.f64 y z) z)) x)
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x)
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))))
(/.f64 x (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) y))
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) y) z)
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z))
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z)
(/.f64 (/.f64 y z) #s(approx (/ (+ (* z z) z) x) (/.f64 z x)))
(/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 z y) z)))
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) (/.f64 x z))
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x)))
(/.f64 (/.f64 y z) (/.f64 (fma.f64 z z z) x))
Outputs
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
Calls

6 calls:

10.0ms
x
9.0ms
y
9.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
8.0ms
z
8.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
96.4%1x
96.4%1z
96.4%1(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
96.4%1(*.f64 x y)
96.4%1(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
96.4%1y
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes38.0ms (0.5%)

Memory
-9.4MiB live, 46.5MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
#s(approx (* (/ y (+ (* z z) z)) (/ x z)) (*.f64 (/.f64 (/.f64 x z) z) y))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 #s(approx (/ y (* (* z z) (+ z 1))) (/.f64 (/.f64 y z) z)) x)
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x)
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))))
(/.f64 x (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) y))
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) y) z)
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z))))
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z))))
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(approx (/ (+ (* z z) z) x) (/.f64 z x))))
Outputs
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x)
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
Calls

6 calls:

11.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
5.0ms
z
5.0ms
y
5.0ms
x
5.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
94.0%3z
92.9%2(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
94.0%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
89.7%2x
89.7%2y
92.8%3(*.f64 x y)
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes4.0ms (0.1%)

Memory
5.4MiB live, 5.4MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
#s(approx (* (/ y (+ (* z z) z)) (/ x z)) (*.f64 (/.f64 (/.f64 x z) z) y))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 #s(approx (/ y (* (* z z) (+ z 1))) (/.f64 (/.f64 y z) z)) x)
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x)
(/.f64 x (*.f64 z #s(approx (/ (+ (* z z) z) y) (/.f64 z y))))
(/.f64 x (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) y))
Outputs
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x)
#s(approx (* (/ y (+ (* z z) z)) (/ x z)) (*.f64 (/.f64 (/.f64 x z) z) y))
Calls

1 calls:

3.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
92.9%2(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes14.0ms (0.2%)

Memory
-17.2MiB live, 21.2MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
#s(approx (* (/ y (+ (* z z) z)) (/ x z)) (*.f64 (/.f64 (/.f64 x z) z) y))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 #s(approx (/ y (* (* z z) (+ z 1))) (/.f64 (/.f64 y z) z)) x)
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) y)
Outputs
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) y)
#s(approx (* (/ y (+ (* z z) z)) (/ x z)) (*.f64 (/.f64 (/.f64 x z) z) y))
Calls

4 calls:

5.0ms
(*.f64 x y)
3.0ms
z
3.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
3.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
90.6%2(*.f64 x y)
92.2%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
92.2%3z
91.0%2(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Compiler

Compiled 22 to 23 computations (-4.5% saved)

regimes16.0ms (0.2%)

Memory
30.3MiB live, 30.3MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
#s(approx (* (/ y (+ (* z z) z)) (/ x z)) (*.f64 (/.f64 (/.f64 x z) z) y))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 #s(approx (/ y (* (* z z) (+ z 1))) (/.f64 (/.f64 y z) z)) x)
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z))
Outputs
#s(approx (* (/ y (+ (* z z) z)) (/ x z)) (*.f64 (/.f64 (/.f64 x z) z) y))
Calls

6 calls:

3.0ms
x
3.0ms
y
3.0ms
z
3.0ms
(*.f64 x y)
2.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
79.9%1y
79.9%1x
79.9%1(*.f64 x y)
79.9%1(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
79.9%1z
79.9%1(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes11.0ms (0.1%)

Memory
-19.7MiB live, 19.2MiB allocated
Accuracy

Total -5.6b remaining (-32%)

Threshold costs -5.6b (-32%)

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

6 calls:

2.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
2.0ms
y
2.0ms
x
2.0ms
z
2.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
72.9%1x
72.9%1z
72.9%1(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
72.9%1(*.f64 x y)
72.9%1(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
72.9%1y
Compiler

Compiled 24 to 29 computations (-20.8% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.17706620198331e+41
1.62861098689272e+42
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.985867455122337e+53
1.8978808685021894e+82
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.985867455122337e+53
1.8978808685021894e+82
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.57043589570477e+196
6.474063050200196e+197
Compiler

Compiled 14 to 15 computations (-7.1% saved)

simplify15.0ms (0.2%)

Memory
14.3MiB live, 14.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053230
172230
2105230
3155230
4278230
5370230
6372230
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 x y) #s(literal 400000000000000002480034580163113277980672 binary64)) (/.f64 (/.f64 y (fma.f64 z z z)) (/.f64 z x)) (*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal 1 binary64) z))))
(/.f64 (/.f64 y (fma.f64 z z z)) (/.f64 z x))
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 199999999999999998644189734872325595292341688388812800 binary64)) (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) (/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)))
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 199999999999999998644189734872325595292341688388812800 binary64)) (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) #s(approx (* (/ y (+ (* z z) z)) (/ x z)) (*.f64 (/.f64 (/.f64 x z) z) y)))
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 19999999999999999022865849278470264106778320922372433398933167781147023447499918366556775778344680456191750897534276513413896506501104986185271471852552907987540733076746850001554473076458172448768 binary64)) (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) y) #s(approx (* (/ y (+ (* z z) z)) (/ x z)) (*.f64 (/.f64 (/.f64 x z) z) y)))
#s(approx (* (/ y (+ (* z z) z)) (/ x z)) (*.f64 (/.f64 (/.f64 x z) z) y))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
Outputs
(if (<=.f64 (*.f64 x y) #s(literal 400000000000000002480034580163113277980672 binary64)) (/.f64 (/.f64 y (fma.f64 z z z)) (/.f64 z x)) (*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal 1 binary64) z))))
(/.f64 (/.f64 y (fma.f64 z z z)) (/.f64 z x))
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 199999999999999998644189734872325595292341688388812800 binary64)) (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) (/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z)))
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 199999999999999998644189734872325595292341688388812800 binary64)) (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) #s(approx (* (/ y (+ (* z z) z)) (/ x z)) (*.f64 (/.f64 (/.f64 x z) z) y)))
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 19999999999999999022865849278470264106778320922372433398933167781147023447499918366556775778344680456191750897534276513413896506501104986185271471852552907987540733076746850001554473076458172448768 binary64)) (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) y) #s(approx (* (/ y (+ (* z z) z)) (/ x z)) (*.f64 (/.f64 (/.f64 x z) z) y)))
#s(approx (* (/ y (+ (* z z) z)) (/ x z)) (*.f64 (/.f64 (/.f64 x z) z) y))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)

soundness1.6s (21.7%)

Memory
-9.0MiB live, 945.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0191740
1576694
21432641
35479616
08140589
027138
046132
1176130
21095130
08403130
0178763
1534717
21388652
34665638
08179613
0924
01424
15524
233824
3323024
0870622
030173
048168
1178164
21153164
08655164
0211970
1625844
21581805
35786767
08121744
062236
1194217
2603199
33001181
47871181
08356176
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 707 to 318 computations (55% saved)

preprocess356.0ms (4.9%)

Memory
29.0MiB live, 378.4MiB allocated
Compiler

Compiled 696 to 262 computations (62.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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