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

Time bar (total: 6.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze100.0ms (1.5%)

Memory
5.0MiB live, 147.1MiB allocated
Algorithm
1×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)

sample1.0s (15.3%)

Memory
40.3MiB live, 1 475.5MiB allocated
Samples
666.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 393.0ms
ival-mult: 245.0ms (62.4% of total)
ival-add: 80.0ms (20.4% of total)
ival-div: 52.0ms (13.2% of total)
ival-true: 6.0ms (1.5% of total)
exact: 5.0ms (1.3% of total)
ival-assert: 4.0ms (1% of total)
Bogosity

explain141.0ms (2.1%)

Memory
-21.8MiB live, 180.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
550-1(-2.132834006650875e-199 -337.45769999671666 -6.782697712816461e-159)(/.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))))o/o180
↳(*.f64 x y)overflow44
↳(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))overflow91
↳(*.f64 z z)overflow68
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))n/u130
↳(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))underflow68
↳(*.f64 z z)underflow68
/.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)))overflow91
↳(*.f64 z z)overflow68
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))u/u60
↳(*.f64 x y)underflow24
↳(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))underflow68
↳(*.f64 z z)underflow68
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))u/n50
↳(*.f64 x y)underflow24
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))o/n40
↳(*.f64 x y)overflow44
Confusion
Predicted +Predicted -
+541
-0201
Precision
1.0
Recall
0.9818181818181818
Confusion?
Predicted +Predicted MaybePredicted -
+5401
-00201
Precision?
1.0
Recall?
0.9818181818181818
Freqs
test
numberfreq
0202
154
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
89.0ms512×0valid
Compiler

Compiled 77 to 31 computations (59.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-add: 49.0ms (69.1% of total)
ival-mult: 18.0ms (25.4% of total)
ival-div: 3.0ms (4.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess252.0ms (3.7%)

Memory
16.9MiB live, 158.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034110
1145103
2738101
3366899
4613699
5696199
6715799
7717599
8718199
9718199
10774099
11790299
12795499
13795499
0911
01411
13811
214311
359111
4136911
5248011
6291911
7305011
8305811
9305811
10342211
11373811
12373811
13373811
14389411
15389411
0389410
Stop Event
1×iter limit
1×saturated
1×iter limit
1×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
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶79.9%
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify104.0ms (1.5%)

Memory
-20.7MiB live, 70.3MiB allocated
Algorithm
1×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
13831
214331
359131
4136931
5248031
6291931
7305031
8305831
9305831
10342231
11373831
12373831
13373831
14389431
15389431
0389429
Stop Event
1×iter limit
1×saturated
1×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)

localize38.0ms (0.6%)

Memory
-7.0MiB live, 90.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 z z)
accuracy0.0
(*.f64 x y)
accuracy0.049160009768442016
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
accuracy12.692811825200618
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Samples
30.0ms256×0valid
Compiler

Compiled 33 to 11 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (63.7% of total)
ival-div: 2.0ms (25.5% of total)
ival-add: 1.0ms (12.7% 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
28.0MiB live, 28.0MiB 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))
1.0ms
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))

simplify168.0ms (2.5%)

Memory
26.4MiB live, 253.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062236
1207215
2857193
34522183
08208179
Stop Event
1×iter limit
1×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 (*.f64 y x) z) (fma.f64 z z 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 x z) (-.f64 (/.f64 y z) y))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (fma.f64 (neg.f64 z) (*.f64 x (fma.f64 (-.f64 (*.f64 y z) y) z y)) (*.f64 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 y (pow.f64 z #s(literal 3 binary64))) x)
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ (* 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 (fma.f64 y x (/.f64 (*.f64 x (-.f64 (neg.f64 y) (/.f64 (-.f64 (/.f64 y z) y) z))) z)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z #s(literal 3 binary64)))
(* -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 (fma.f64 y x (/.f64 (*.f64 x (-.f64 (neg.f64 y) (/.f64 (-.f64 (/.f64 y z) y) z))) z)) (pow.f64 z #s(literal 3 binary64)))

rewrite171.0ms (2.5%)

Memory
-33.5MiB live, 203.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
01424
15624
234324
3308724
0906022
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 253
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 #s(literal -1 binary64) z) #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) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (pow.f64 z #s(literal 4 binary64))))
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (*.f64 z z))
(*.f64 (+.f64 (pow.f64 z #s(literal 3/2 binary64)) z) (-.f64 (pow.f64 z #s(literal 3/2 binary64)) z))
(*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 z z))
(*.f64 (fma.f64 z z z) z)
(*.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 z (/.f64 z (-.f64 z #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (*.f64 z z) (fma.f64 z z (+.f64 #s(literal -1 binary64) z))))
(*.f64 (*.f64 (fma.f64 z z z) z) #s(literal 1 binary64))
(*.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 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) z)))
(*.f64 (*.f64 z z) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))
(*.f64 (*.f64 z z) (-.f64 z #s(literal -1 binary64)))
(*.f64 (*.f64 z z) (+.f64 #s(literal -1 binary64) z))
(*.f64 (*.f64 z z) (-.f64 z #s(literal 1 binary64)))
(*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) z))
(*.f64 z (fma.f64 z z z))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (fma.f64 z z z) z)) (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (fma.f64 z z z) z))) (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (fma.f64 z z z) z)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (fma.f64 z z z) z)))) (*.f64 (fma.f64 z z z) z))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (+.f64 #s(literal -1 binary64) z))) (*.f64 z z)) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (+.f64 #s(literal -1 binary64) z))) (*.f64 z z))) (*.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 z z)) (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 z z)))) (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (+.f64 #s(literal -1 binary64) z))) (*.f64 z z)) (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 z z))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (+.f64 #s(literal -1 binary64) z)))) (*.f64 (*.f64 z z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (+.f64 #s(literal -1 binary64) z))))) (*.f64 (*.f64 (*.f64 z z) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 z z) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64))))) (-.f64 (*.f64 (*.f64 z z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (+.f64 #s(literal -1 binary64) z)))) (*.f64 (*.f64 z z) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 9 binary64)) (+.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 9 binary64)) (+.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 (pow.f64 z #s(literal 6 binary64)) (+.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)) (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 6 binary64)))))) (*.f64 (fma.f64 z z z) z))
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(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 9 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 5 binary64)))))
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(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))))))
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 z z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 z z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (-.f64 #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 z z)) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (*.f64 z 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)) #s(literal 1 binary64)))
(+.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 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 y (neg.f64 (neg.f64 x)))
(*.f64 y x)
(*.f64 x (neg.f64 (neg.f64 y)))
(*.f64 x y)
(neg.f64 (*.f64 (neg.f64 x) y))
(*.f64 (sqrt.f64 z) (pow.f64 z #s(literal 3/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z z))
(*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 z))
(*.f64 #s(literal 1 binary64) (*.f64 z z))
(*.f64 (*.f64 z z) #s(literal -1 binary64))
(*.f64 (*.f64 z z) #s(literal 1 binary64))
(*.f64 z z)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 z))
(pow.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))))) (-.f64 (cosh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))))))
(neg.f64 (*.f64 z z))
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(fabs.f64 (*.f64 z z))
(exp.f64 (/.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (*.f64 (log.f64 z) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64)) #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)))
(+.f64 (cosh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))))

eval38.0ms (0.6%)

Memory
8.6MiB live, 68.1MiB allocated
Compiler

Compiled 6 093 to 764 computations (87.5% saved)

prune21.0ms (0.3%)

Memory
-22.9MiB live, 23.7MiB allocated
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New25511266
Fresh000
Picked011
Done000
Total25512267
Accuracy
100.0%
Counts
267 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.4%
(/.f64 (/.f64 (*.f64 y (/.f64 x z)) (+.f64 #s(literal -1 binary64) z)) z)
87.0%
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z)
▶95.2%
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
▶79.9%
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
▶96.3%
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
✓79.9%
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
▶69.0%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
89.1%
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
49.1%
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal -1 binary64) z)))
▶94.7%
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
74.6%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
70.3%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)))
Compiler

Compiled 285 to 205 computations (28.1% saved)

simplify128.0ms (1.9%)

Memory
27.1MiB live, 72.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 z z z)
cost-diff0
(/.f64 y z)
cost-diff0
(*.f64 (/.f64 y z) x)
cost-diff0
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
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)) z)
cost-diff0
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
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 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
(fma.f64 z z z)
cost-diff0
(/.f64 y (fma.f64 z z z))
cost-diff0
(*.f64 x (/.f64 y (fma.f64 z z z)))
cost-diff0
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024148
040148
178146
2173146
3492146
41054146
52273146
62814146
73089146
83167146
93194146
103204146
113584146
123900146
133900146
143900146
154113146
164209146
174209146
04209146
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
(*.f64 x (/.f64 y (fma.f64 z z z)))
x
(/.f64 y (fma.f64 z z z))
y
(fma.f64 z z z)
z
(/.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 (*.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 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 (/.f64 x (fma.f64 z z z)) z)
(/.f64 x (fma.f64 z z z))
x
(fma.f64 z z z)
z
y
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
x
(fma.f64 z z z)
Outputs
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z)
(*.f64 x (/.f64 y (fma.f64 z z z)))
(*.f64 (/.f64 y (fma.f64 z z z)) x)
x
(/.f64 y (fma.f64 z z z))
y
(fma.f64 z z z)
z
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(/.f64 (*.f64 y x) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 x y)
(*.f64 y x)
x
y
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
z
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z)
(*.f64 y x)
y
x
(*.f64 (fma.f64 z z z) z)
(fma.f64 z z z)
z
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z)
(/.f64 (/.f64 x (fma.f64 z z z)) z)
(/.f64 x (fma.f64 z z z))
x
(fma.f64 z z z)
z
y
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z)
(*.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
x
(fma.f64 z z z)

localize176.0ms (2.6%)

Memory
-3.6MiB live, 137.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 z z z)
accuracy0.0
(/.f64 y z)
accuracy2.845323797005087
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
accuracy3.782906309905469
(*.f64 (/.f64 y z) x)
accuracy0.0
(fma.f64 z z z)
accuracy0.10546875
(/.f64 (/.f64 x (fma.f64 z z z)) z)
accuracy1.7103121039120854
(/.f64 x (fma.f64 z z z))
accuracy2.87645575409895
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
accuracy0.0
(fma.f64 z z z)
accuracy0.0
(*.f64 y x)
accuracy0.04296875
(*.f64 (fma.f64 z z z) z)
accuracy12.692811825200618
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
accuracy0.0
(*.f64 z z)
accuracy0.0
(*.f64 x y)
accuracy12.692811825200618
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
accuracy23.757687034682405
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy0.0
(fma.f64 z z z)
accuracy0.4855775973470851
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
accuracy4.307381630786072
(*.f64 x (/.f64 y (fma.f64 z z z)))
accuracy7.436466682134589
(/.f64 y (fma.f64 z z z))
Samples
162.0ms256×0valid
Compiler

Compiled 155 to 24 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 137.0ms
ival-mult: 93.0ms (67.7% of total)
ival-div: 41.0ms (29.8% of total)
ival-add: 2.0ms (1.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series74.0ms (1.1%)

Memory
-16.3MiB live, 73.4MiB allocated
Counts
17 → 66
Calls
Call 1
Inputs
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
(*.f64 x (/.f64 y (fma.f64 z z z)))
(/.f64 y (fma.f64 z z z))
(fma.f64 z z 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 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(*.f64 y x)
(*.f64 (fma.f64 z z z) z)
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 (/.f64 x (fma.f64 z z z)) z)
(/.f64 x (fma.f64 z z z))
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
Outputs
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* x y)
(/ x (* z (+ z (pow z 2))))
(/ x (+ z (pow z 2)))
(/ (* x y) z)
(/ y (+ z (pow z 2)))
(/ 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))
(/ (+ (* -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)
(/ (+ 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))
(/ 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))
(/ x z)
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* z (- (* x z) x))) z)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) 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 (/ (* 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))
(/ 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)))
(/ 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))
(/ (+ 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))
(* -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))
(/ (+ 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 (/ (+ (* -1 x) (/ x z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) z))) (pow z 3)))
(/ (+ 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))
Calls

9 calls:

TimeVariablePointExpression
30.0ms
y
@0
((/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (* (+ (* z z) z) z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y z))
6.0ms
z
@inf
((/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (* (+ (* z z) z) z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y z))
5.0ms
x
@0
((/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (* (+ (* z z) z) z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y z))
4.0ms
x
@-inf
((/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (* (+ (* z z) z) z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y z))
4.0ms
y
@-inf
((/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (* (+ (* z z) z) z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y z))

simplify223.0ms (3.3%)

Memory
22.7MiB live, 274.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0195916
1672809
22348732
08678714
Stop Event
1×iter limit
1×node limit
Counts
66 → 65
Calls
Call 1
Inputs
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* x y)
(/ x (* z (+ z (pow z 2))))
(/ x (+ z (pow z 2)))
(/ (* x y) z)
(/ y (+ z (pow z 2)))
(/ 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))
(/ (+ (* -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)
(/ (+ 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))
(/ 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))
(/ x z)
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* z (- (* x z) x))) z)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) 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 (/ (* 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))
(/ 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)))
(/ 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))
(/ (+ 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))
(* -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))
(/ (+ 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 (/ (+ (* -1 x) (/ x z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) z))) (pow z 3)))
(/ (+ 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))
Outputs
(/ (* x y) (* z (+ z (pow z 2))))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/ (* x y) (+ z (pow z 2)))
(*.f64 (/.f64 y (fma.f64 z z z)) x)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(* x y)
(*.f64 y x)
(/ x (* z (+ z (pow z 2))))
(/.f64 x (*.f64 (fma.f64 z z z) z))
(/ x (+ z (pow z 2)))
(/.f64 x (fma.f64 z z z))
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(/ y (+ z (pow z 2)))
(/.f64 y (fma.f64 z z z))
(/ y z)
(/.f64 y z)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 y z) z) x)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (-.f64 (*.f64 (/.f64 x z) y) (*.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) #s(literal 1 binary64))) z)
(/ (+ (* -1 (* x (* y z))) (* x y)) z)
(*.f64 y (-.f64 (/.f64 x z) x))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z)
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) z)
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z)
(-.f64 (*.f64 (/.f64 x z) y) (*.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) #s(literal 1 binary64)))
(/ (+ y (* -1 (* y z))) z)
(-.f64 (/.f64 y z) y)
(/ (+ 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 (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) z y) z (neg.f64 y)) 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)
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ (+ x (* -1 (* x z))) (pow z 2))
(/.f64 (-.f64 (/.f64 x z) x) z)
(/ (+ x (* z (- (* x z) x))) (pow z 2))
(-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z))
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) z x) z (neg.f64 x)) z x) z) z)
(/ x z)
(/.f64 x z)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(/ (+ 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 (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) z x) z (neg.f64 x)) z x) z)
(/ (* 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 (-.f64 x (/.f64 x z))) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ (* 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 (fma.f64 y x (/.f64 (neg.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)))) z)) (pow.f64 z #s(literal 3 binary64)))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2))
(/.f64 (*.f64 x (/.f64 (-.f64 y (/.f64 y z)) z)) z)
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 2))
(/.f64 (/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) z) z)
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 2))
(/.f64 (fma.f64 y x (/.f64 (neg.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)))) z)) (*.f64 z z))
(/ 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 y (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z)) 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)
(/ 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 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) z)) (pow.f64 z #s(literal 3 binary64)))
(/ (+ 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 x (/.f64 (-.f64 x (/.f64 x z)) z)) (*.f64 z z))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 2))
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) z)) (*.f64 z z))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z #s(literal 3 binary64)))
(* -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 (fma.f64 y x (/.f64 (neg.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)))) z)) (pow.f64 z #s(literal 3 binary64)))
(/ (+ (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2))
(/.f64 (/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) z) z)
(/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2))
(/.f64 (fma.f64 y x (/.f64 (neg.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)))) z)) (*.f64 z z))
(/ (+ 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 y (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z)) 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 (fma.f64 y x (/.f64 (neg.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)))) z)) (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 (/ (+ (* -1 x) (/ x z)) 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) (* -1 (/ (+ (* -1 x) (/ x z)) z))) z))) (pow z 3)))
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) z)) (pow.f64 z #s(literal 3 binary64)))
(/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 2))
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) (*.f64 z z))
(/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 2))
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) z)) (*.f64 z z))

rewrite133.0ms (1.9%)

Memory
-0.0MiB live, 183.9MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024121
040121
1121119
2600119
36416119
08215119
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 827
Calls
Call 1
Inputs
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
(*.f64 x (/.f64 y (fma.f64 z z z)))
(/.f64 y (fma.f64 z z z))
(fma.f64 z z 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 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(*.f64 y x)
(*.f64 (fma.f64 z z z) z)
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 (/.f64 x (fma.f64 z z z)) z)
(/.f64 x (fma.f64 z z z))
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
Outputs
(*.f64 (/.f64 (*.f64 (/.f64 y z) x) (*.f64 (fma.f64 z z #s(literal -1 binary64)) z)) (-.f64 z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 y z) x) (+.f64 (pow.f64 z #s(literal 4 binary64)) z)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 y x) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 z z z) z))
(*.f64 (/.f64 (*.f64 y x) (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z z) (pow.f64 z #s(literal 6 binary64))))
(*.f64 (/.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (neg.f64 y) x) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 z z z) z))
(*.f64 (/.f64 (*.f64 (neg.f64 y) x) (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z z) (pow.f64 z #s(literal 6 binary64))))
(*.f64 (*.f64 (/.f64 x z) (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (fma.f64 z z z))
(*.f64 (*.f64 (/.f64 x z) (/.f64 y (-.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 x (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 z z z) z))
(*.f64 (/.f64 (*.f64 x (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) z) (/.f64 (fma.f64 z z z) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 x (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) z))
(*.f64 (/.f64 (*.f64 x (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))) z) (/.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 (/.f64 x z) z))
(*.f64 (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 (/.f64 y z) z))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 y (fma.f64 z z z)) z))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 y (fma.f64 z z z)) z))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (/.f64 x (fma.f64 z z z)) z))
(*.f64 (/.f64 (neg.f64 x) (*.f64 z z)) (/.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 y z) z))
(*.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 z z)))
(*.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x z) z))
(*.f64 (/.f64 y (+.f64 #s(literal -1 binary64) z)) (/.f64 (/.f64 x z) z))
(*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) z)) (/.f64 (/.f64 y z) z))
(*.f64 (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (*.f64 (fma.f64 z z z) (/.f64 y z)))
(*.f64 (/.f64 x (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (/.f64 y z)))
(*.f64 (*.f64 x (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (/.f64 (fma.f64 z z z) z))
(*.f64 (*.f64 x (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (-.f64 z #s(literal 1 binary64)))
(*.f64 (*.f64 x (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))) (/.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) z))
(*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z z))
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(fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 y x) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64)))) (*.f64 (*.f64 (fma.f64 z z z) z) (/.f64 (*.f64 y x) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64))))))
(fma.f64 (*.f64 (fma.f64 z z z) z) (/.f64 (*.f64 y x) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64)))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 y x) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64))))))
(+.f64 (*.f64 (*.f64 (fma.f64 z z z) z) (/.f64 (*.f64 y x) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64))))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 y x) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64))))))
(+.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 y x) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64))))) (*.f64 (*.f64 (fma.f64 z z z) z) (/.f64 (*.f64 y x) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64))))))
(+.f64 (*.f64 (/.f64 (*.f64 y x) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64)))) (*.f64 (fma.f64 z z z) z)) (*.f64 (/.f64 (*.f64 y x) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64)))) (pow.f64 z #s(literal 4 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 y x) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64)))) (pow.f64 z #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 y x) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64)))) (*.f64 (fma.f64 z z z) z)))
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 y z))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y z))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (/.f64 x z) (/.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 x z) (neg.f64 y))
(*.f64 (/.f64 x z) y)
(*.f64 (neg.f64 x) (/.f64 y z))
(*.f64 (neg.f64 y) (/.f64 x z))
(*.f64 (/.f64 y z) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 y z) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 y z) (neg.f64 x))
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (/.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 y x) #s(literal 1 binary64)) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 (neg.f64 y) x) z)
(/.f64 (*.f64 (/.f64 y z) x) #s(literal 1 binary64))
(neg.f64 (*.f64 (/.f64 y z) x))
(/.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) z)
(/.f64 (/.f64 y #s(literal 1 binary64)) z)
(/.f64 (neg.f64 y) z)
(/.f64 (/.f64 y z) #s(literal 1 binary64))
(/.f64 y z)
(neg.f64 (/.f64 y z))

eval92.0ms (1.3%)

Memory
14.4MiB live, 199.3MiB allocated
Compiler

Compiled 18 956 to 2 439 computations (87.1% saved)

prune39.0ms (0.6%)

Memory
3.8MiB live, 48.0MiB allocated
Pruning

17 alts after pruning (11 fresh and 6 done)

PrunedKeptTotal
New8819890
Fresh426
Picked055
Done011
Total88517902
Accuracy
100.0%
Counts
902 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.8%
(/.f64 (/.f64 (*.f64 (/.f64 y z) x) (+.f64 #s(literal -1 binary64) z)) z)
▶87.0%
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z)
✓95.2%
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
✓79.9%
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
✓96.3%
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
64.1%
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) z)
64.4%
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (-.f64 (/.f64 y z) y))) z)
✓79.9%
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
✓69.0%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
▶28.7%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
✓94.7%
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
▶81.4%
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
71.0%
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
85.4%
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
▶75.3%
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
▶66.2%
#s(approx (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 (/.f64 y z) z) x))
74.6%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
Compiler

Compiled 394 to 276 computations (29.9% saved)

simplify132.0ms (1.9%)

Memory
-5.0MiB live, 40.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 1 (0.0ms)

IterNodesCost
032192
050192
190187
2186187
3549187
41242187
52388187
62962187
73200187
83279187
93313187
103317187
113663187
123943187
133943187
143943187
154166187
164166187
04166187
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z)
(/.f64 (*.f64 y x) (fma.f64 z z z))
(*.f64 y x)
y
x
(fma.f64 z z z)
z
(*.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 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
(*.f64 x y)
x
y
#s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))
(neg.f64 (*.f64 z z))
(*.f64 z z)
z
#s(approx (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 (/.f64 y z) z) x)
(/.f64 (/.f64 y z) z)
(/.f64 y z)
y
z
x
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z)
#s(approx (/ x (+ (* z z) z)) (/.f64 x z))
(/.f64 x z)
x
z
y
Outputs
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z)
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 (*.f64 y x) (fma.f64 z z z))
(*.f64 (/.f64 x (fma.f64 z z z)) y)
(*.f64 y x)
(*.f64 x y)
y
x
(fma.f64 z z z)
z
(*.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 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 (neg.f64 z) z)))
(*.f64 x y)
x
y
#s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))
#s(approx (* (* z z) (+ z 1)) (*.f64 (neg.f64 z) z))
(neg.f64 (*.f64 z z))
(*.f64 (neg.f64 z) z)
(*.f64 z z)
z
#s(approx (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 (/.f64 y z) z) x)
(/.f64 (/.f64 y z) z)
(/.f64 y z)
y
z
x
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(*.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) (/.f64 y z))
(/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z)
#s(approx (/ x (+ (* z z) z)) (/.f64 x z))
(/.f64 x z)
x
z
y

localize244.0ms (3.6%)

Memory
-6.6MiB live, 93.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 x z)
accuracy0.10546875
(/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z)
accuracy2.87645575409895
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
accuracy18.97718291479074
#s(approx (/ x (+ (* z z) z)) (/.f64 x z))
accuracy0.0
(/.f64 y z)
accuracy0.125
(/.f64 (/.f64 y z) z)
accuracy5.834558933884206
(*.f64 (/.f64 (/.f64 y z) z) x)
accuracy16.865143427965123
#s(approx (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 (/.f64 y z) z) x))
accuracy0.0
(*.f64 x y)
accuracy0.0
(neg.f64 (*.f64 z z))
accuracy12.692811825200618
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
accuracy36.33911179458315
#s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))
accuracy0.0
(*.f64 z z)
accuracy2.87645575409895
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
accuracy8.684911142458164
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
accuracy23.757687034682405
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy0.0
(fma.f64 z z z)
accuracy0.0
(*.f64 y x)
accuracy0.4855775973470851
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z)
accuracy10.726747183042033
(/.f64 (*.f64 y x) (fma.f64 z z z))
Samples
222.0ms256×0valid
Compiler

Compiled 159 to 28 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-div: 16.0ms (44.5% of total)
ival-mult: 12.0ms (33.4% of total)
ival-add: 6.0ms (16.7% of total)
ival-neg: 1.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series152.0ms (2.2%)

Memory
-4.0MiB live, 40.9MiB allocated
Counts
20 → 61
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z)
(/.f64 (*.f64 y x) (fma.f64 z z z))
(*.f64 y x)
(fma.f64 z z z)
(*.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 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
(*.f64 x y)
#s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))
(neg.f64 (*.f64 z z))
#s(approx (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 (/.f64 y z) z) x)
(/.f64 (/.f64 y z) z)
(/.f64 y z)
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z)
#s(approx (/ x (+ (* z z) z)) (/.f64 x z))
(/.f64 x z)
Outputs
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (+ z (pow z 2)))
(* x y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ x (* (pow z 2) (+ 1 z)))
(/ (* x y) (pow z 2))
(/ x (* z (+ z (pow z 2))))
(/ x (+ z (pow z 2)))
(/ x z)
(/ y (pow z 2))
(/ y z)
(/ (+ (* -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)
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))
(* -1 (pow z 2))
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* z (- (* x z) x))) z)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) 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 (/ (* 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))
(* (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)))
(/ (+ 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))
(* -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))
(* -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)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) z))) (pow z 3)))
(/ (+ 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))
Calls

9 calls:

TimeVariablePointExpression
129.0ms
y
@inf
((/ (/ (* y x) (+ (* z z) z)) z) (/ (* y x) (+ (* z z) z)) (* y x) (+ (* z z) z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (neg (* z z)) (/ (* x (/ y (+ (* z z) z))) z) (* (/ (/ y z) z) x) (/ (/ y z) z) (/ y z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (/ x z))
4.0ms
x
@-inf
((/ (/ (* y x) (+ (* z z) z)) z) (/ (* y x) (+ (* z z) z)) (* y x) (+ (* z z) z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (neg (* z z)) (/ (* x (/ y (+ (* z z) z))) z) (* (/ (/ y z) z) x) (/ (/ y z) z) (/ y z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (/ x z))
4.0ms
y
@-inf
((/ (/ (* y x) (+ (* z z) z)) z) (/ (* y x) (+ (* z z) z)) (* y x) (+ (* z z) z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (neg (* z z)) (/ (* x (/ y (+ (* z z) z))) z) (* (/ (/ y z) z) x) (/ (/ y z) z) (/ y z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (/ x z))
3.0ms
x
@inf
((/ (/ (* y x) (+ (* z z) z)) z) (/ (* y x) (+ (* z z) z)) (* y x) (+ (* z z) z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (neg (* z z)) (/ (* x (/ y (+ (* z z) z))) z) (* (/ (/ y z) z) x) (/ (/ y z) z) (/ y z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (/ x z))
3.0ms
x
@0
((/ (/ (* y x) (+ (* z z) z)) z) (/ (* y x) (+ (* z z) z)) (* y x) (+ (* z z) z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (neg (* z z)) (/ (* x (/ y (+ (* z z) z))) z) (* (/ (/ y z) z) x) (/ (/ y z) z) (/ y z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (/ x z))

simplify317.0ms (4.6%)

Memory
-19.7MiB live, 346.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0171838
1602719
22178690
08618663
Stop Event
1×iter limit
1×node limit
Counts
61 → 60
Calls
Call 1
Inputs
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (+ z (pow z 2)))
(* x y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ x (* (pow z 2) (+ 1 z)))
(/ (* x y) (pow z 2))
(/ x (* z (+ z (pow z 2))))
(/ x (+ z (pow z 2)))
(/ x z)
(/ y (pow z 2))
(/ y z)
(/ (+ (* -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)
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))
(* -1 (pow z 2))
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* z (- (* x z) x))) z)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) 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 (/ (* 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))
(* (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)))
(/ (+ 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))
(* -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))
(* -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)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) z))) (pow z 3)))
(/ (+ 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))
Outputs
(/ (* x y) (* z (+ z (pow z 2))))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/ (* x y) (+ z (pow z 2)))
(*.f64 (/.f64 y (fma.f64 z z z)) x)
(* x y)
(*.f64 x y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/ x (* (pow z 2) (+ 1 z)))
(/.f64 x (*.f64 (fma.f64 z z z) z))
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/ x (* z (+ z (pow z 2))))
(/.f64 x (*.f64 (fma.f64 z z z) z))
(/ x (+ z (pow z 2)))
(/.f64 x (fma.f64 z z z))
(/ x z)
(/.f64 x z)
(/ y (pow z 2))
(/.f64 y (*.f64 z z))
(/ y z)
(/.f64 y z)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(fma.f64 y (/.f64 (-.f64 (/.f64 x z) x) z) (*.f64 x y))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (fma.f64 x y (*.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) (neg.f64 z))) (*.f64 z z))
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ (+ (* -1 (* x (* y z))) (* x y)) z)
(*.f64 x (-.f64 (/.f64 y z) y))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z)
(fma.f64 (-.f64 (*.f64 z y) y) x (*.f64 (/.f64 y z) x))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z)
(/.f64 (fma.f64 x y (*.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) (neg.f64 z))) z)
z
(* z (+ 1 z))
(fma.f64 z z z)
(/ x (pow z 2))
(/.f64 (/.f64 x z) z)
(/ (+ x (* -1 (* x z))) (pow z 2))
(/.f64 (-.f64 (/.f64 x z) x) z)
(/ (+ x (* z (- (* x z) x))) (pow z 2))
(+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) z x) z (neg.f64 x)) z x) z) z)
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(/ (+ 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 (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) z x) z (neg.f64 x)) z x) z)
(/ (* 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 (-.f64 x (/.f64 x z))) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (fma.f64 y (/.f64 (-.f64 (/.f64 x z) x) z) (*.f64 x 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 (fma.f64 (/.f64 y z) (/.f64 (-.f64 x (/.f64 x z)) z) (*.f64 y (-.f64 x (/.f64 x z)))) (pow.f64 z #s(literal 3 binary64)))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2))
(*.f64 (/.f64 y z) (/.f64 (-.f64 x (/.f64 x z)) z))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 2))
(/.f64 (fma.f64 y (/.f64 (-.f64 (/.f64 x z) x) z) (*.f64 x 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 (fma.f64 (/.f64 y z) (/.f64 (-.f64 x (/.f64 x z)) z) (*.f64 y (-.f64 x (/.f64 x 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 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z)) (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 (* -1 (/ x z))) (pow z 2))
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 2))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z) z)
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 2))
(/.f64 (/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z)) z) z)
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(/.f64 (fma.f64 y (/.f64 (-.f64 (/.f64 x z) x) z) (*.f64 x 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 (fma.f64 (/.f64 y z) (/.f64 (-.f64 x (/.f64 x z)) z) (*.f64 y (-.f64 x (/.f64 x z)))) (pow.f64 z #s(literal 3 binary64)))
(/ (+ (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2))
(/.f64 (fma.f64 y (/.f64 (-.f64 (/.f64 x z) x) z) (*.f64 x y)) (*.f64 z z))
(/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2))
(/.f64 (fma.f64 (/.f64 y z) (/.f64 (-.f64 x (/.f64 x z)) z) (*.f64 y (-.f64 x (/.f64 x z)))) (*.f64 z z))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(/.f64 (fma.f64 y (/.f64 (-.f64 (/.f64 x z) x) z) (*.f64 x 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 (fma.f64 (/.f64 y z) (/.f64 (-.f64 x (/.f64 x z)) z) (*.f64 y (-.f64 x (/.f64 x z)))) (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 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) 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) (* -1 (/ (+ (* -1 x) (/ x z)) z))) z))) (pow z 3)))
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z)) (pow.f64 z #s(literal 3 binary64)))
(/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 2))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z) z)
(/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 2))
(/.f64 (/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z)) z) z)

rewrite130.0ms (1.9%)

Memory
16.2MiB live, 246.0MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032174
050171
1137166
2609166
35697166
08278166
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 371
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z)
(/.f64 (*.f64 y x) (fma.f64 z z z))
(*.f64 y x)
(fma.f64 z z z)
(*.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 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
(*.f64 x y)
#s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))
(neg.f64 (*.f64 z z))
#s(approx (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 (/.f64 y z) z) x)
(/.f64 (/.f64 y z) z)
(/.f64 y z)
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z)
#s(approx (/ x (+ (* z z) z)) (/.f64 x z))
(/.f64 x z)
Outputs
(*.f64 (/.f64 (*.f64 x y) (*.f64 (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)) z)) (fma.f64 z z z))
(*.f64 (/.f64 (*.f64 x y) (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) z)) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 x y) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 x y) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 z z z) z))
(*.f64 (/.f64 (*.f64 x y) (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z z) (pow.f64 z #s(literal 6 binary64))))
(*.f64 (/.f64 (*.f64 x (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 z z z) z))
(*.f64 (/.f64 (*.f64 x (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) z) (/.f64 (fma.f64 z z z) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 x (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) z))
(*.f64 (/.f64 (*.f64 x (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) z) (/.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 (/.f64 y z) z))
(*.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 (/.f64 x z) z))
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (/.f64 x (fma.f64 z z z)) z))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 y (fma.f64 z z z)) z))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 y (fma.f64 z z z)) z))
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (/.f64 x (fma.f64 z z z)) z))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) (/.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(*.f64 (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (*.f64 (fma.f64 z z z) (/.f64 y z)))
(*.f64 (/.f64 x (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (/.f64 y z)))
(*.f64 (*.f64 x (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (/.f64 (fma.f64 z z z) z))
(*.f64 (*.f64 x (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (-.f64 z #s(literal 1 binary64)))
(*.f64 (*.f64 x (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (/.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) z))
(*.f64 (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (*.f64 (fma.f64 z z z) (/.f64 x z)))
(*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (/.f64 x z)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 y z) z))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x z) z))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 z z)))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(*.f64 (neg.f64 y) (/.f64 (/.f64 x (fma.f64 z z z)) z))
(*.f64 (neg.f64 x) (/.f64 (/.f64 y (fma.f64 z z z)) z))
(*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
(*.f64 x (/.f64 (/.f64 y (fma.f64 z z z)) z))
(*.f64 y (/.f64 (/.f64 x (fma.f64 z z z)) z))
(/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (neg.f64 y)) (*.f64 z z))
(/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) y) (*.f64 z z))
(/.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (neg.f64 x)) (*.f64 z z))
(/.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) x) (*.f64 z z))
(/.f64 (*.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) z))) (*.f64 z z))
(/.f64 (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) #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)
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(/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z)
(neg.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z))
#s(approx (/ x (+ (* z z) z)) (/.f64 x z))
(neg.f64 (neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z))))
(/.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) z)
(/.f64 (/.f64 x #s(literal 1 binary64)) z)
(/.f64 (neg.f64 x) z)
(/.f64 (/.f64 x z) #s(literal 1 binary64))
(/.f64 x z)
(neg.f64 (/.f64 x z))

eval195.0ms (2.9%)

Memory
15.7MiB live, 100.3MiB allocated
Compiler

Compiled 7 929 to 1 262 computations (84.1% saved)

prune29.0ms (0.4%)

Memory
-10.6MiB live, 46.7MiB allocated
Pruning

20 alts after pruning (9 fresh and 11 done)

PrunedKeptTotal
New3965401
Fresh246
Picked055
Done066
Total39820418
Accuracy
100.0%
Counts
418 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.8%
(/.f64 (/.f64 (*.f64 (/.f64 y z) x) (+.f64 #s(literal -1 binary64) z)) z)
✓87.0%
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z)
✓95.2%
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
✓79.9%
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
✓96.3%
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
▶64.1%
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) z)
✓79.9%
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
✓69.0%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
✓28.7%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
▶73.0%
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x)) z)
✓94.7%
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
✓81.4%
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
▶71.0%
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
74.6%
(*.f64 (/.f64 y z) #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))
▶85.4%
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
✓75.3%
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
▶33.2%
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y)
25.7%
(*.f64 (neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) (/.f64 y z))
✓66.2%
#s(approx (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 (/.f64 y z) z) x))
31.4%
#s(approx (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 (neg.f64 y) (*.f64 z z)) x))
Compiler

Compiled 415 to 290 computations (30.1% saved)

simplify123.0ms (1.8%)

Memory
7.6MiB live, 54.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 1 (0.0ms)

IterNodesCost
031222
049222
188216
2185216
3491216
41140216
52363216
62913216
73185216
83264216
93328216
103332216
113635216
123899216
133899216
143899216
154190216
164190216
04190216
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(/.f64 x (*.f64 (fma.f64 z z z) z))
x
(*.f64 (fma.f64 z z z) z)
(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)) (neg.f64 (*.f64 z z)))) y)
(/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
x
#s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))
(neg.f64 (*.f64 z z))
(*.f64 z z)
z
y
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x)) z)
#s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
x
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) z)
(*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)))
x
#s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))
(/.f64 (/.f64 y z) z)
(/.f64 y z)
y
z
Outputs
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 y (/.f64 x (*.f64 (fma.f64 z z z) z)))
(/.f64 x (*.f64 (fma.f64 z z z) z))
x
(*.f64 (fma.f64 z z z) z)
(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)) (neg.f64 (*.f64 z z)))) y)
(/.f64 (*.f64 y x) #s(approx (* (* z z) (+ z 1)) (*.f64 (neg.f64 z) z)))
(/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 (neg.f64 z) z)))
x
#s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))
#s(approx (* (* z z) (+ z 1)) (*.f64 (neg.f64 z) z))
(neg.f64 (*.f64 z z))
(*.f64 (neg.f64 z) z)
(*.f64 z z)
z
y
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x)) z)
#s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
x
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) z)
(*.f64 (/.f64 x z) #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)))
(*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)))
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x)
x
#s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))
(/.f64 (/.f64 y z) z)
(/.f64 y z)
y
z

localize115.0ms (1.7%)

Memory
-39.6MiB live, 154.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.125
(/.f64 (/.f64 y z) z)
accuracy0.4855775973470851
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) z)
accuracy4.307381630786072
(*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)))
accuracy26.120388579107665
#s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))
accuracy0.0
(/.f64 y z)
accuracy0.4855775973470851
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x)) z)
accuracy3.782906309905469
(*.f64 (/.f64 y z) x)
accuracy22.05071016379141
#s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x))
accuracy0.0
(neg.f64 (*.f64 z z))
accuracy2.87645575409895
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y)
accuracy8.684911142458164
(/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
accuracy36.33911179458315
#s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))
accuracy0.0
(*.f64 z z)
accuracy5.596094984297713
(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
accuracy5.99321132979462
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
accuracy23.757687034682405
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy0.0
(fma.f64 z z z)
accuracy0.04296875
(*.f64 (fma.f64 z z z) z)
accuracy2.87645575409895
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
accuracy8.684911142458164
(/.f64 x (*.f64 (fma.f64 z z z) z))
Samples
74.0ms256×0valid
Compiler

Compiled 176 to 27 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 16.0ms (46.5% of total)
ival-div: 14.0ms (40.7% of total)
ival-add: 2.0ms (5.8% of total)
ival-neg: 1.0ms (2.9% 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
8.8MiB live, 53.4MiB allocated
Counts
20 → 70
Calls
Call 1
Inputs
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(/.f64 x (*.f64 (fma.f64 z z z) z))
(*.f64 (fma.f64 z 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)) (neg.f64 (*.f64 z z)))) y)
(/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
#s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))
(neg.f64 (*.f64 z z))
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x)) z)
#s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) z)
(*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)))
#s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))
(/.f64 (/.f64 y z) z)
Outputs
(/ (* x y) (* z (+ z (pow z 2))))
(/ x (* z (+ z (pow z 2))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ x (* (pow z 2) (+ 1 z)))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) z)
(/ y (* (pow z 2) (+ 1 z)))
(/ y z)
(/ y (+ z (pow z 2)))
(/ y (pow z 2))
(/ (* 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 (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))
z
(* z (+ 1 z))
(/ (+ 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))
(* -1 (pow z 2))
(/ (+ (* -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)
(/ (+ y (* -1 (* y z))) z)
(/ (+ y (* z (- (* y z) y))) z)
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) 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))
(/ 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 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))
(/ (+ (* -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))
(/ (+ 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))
(* -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) (/ x z)) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) 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)))
(* -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) (* -1 (/ (- (/ x z) x) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x z) x) z)) x) 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))
(/ (+ 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))
Calls

9 calls:

TimeVariablePointExpression
8.0ms
z
@inf
((* (/ x (* (+ (* z z) z) z)) y) (/ x (* (+ (* z z) z) z)) (* (+ (* z 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)) (neg (* z z)) (/ (/ (* y x) (+ (* z z) z)) z) (/ (* y x) (+ (* z z) z)) (* (/ y z) x) (/ y z) (/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)) (/ (/ y z) z))
3.0ms
y
@-inf
((* (/ x (* (+ (* z z) z) z)) y) (/ x (* (+ (* z z) z) z)) (* (+ (* z 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)) (neg (* z z)) (/ (/ (* y x) (+ (* z z) z)) z) (/ (* y x) (+ (* z z) z)) (* (/ y z) x) (/ y z) (/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)) (/ (/ y z) z))
3.0ms
x
@-inf
((* (/ x (* (+ (* z z) z) z)) y) (/ x (* (+ (* z z) z) z)) (* (+ (* z 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)) (neg (* z z)) (/ (/ (* y x) (+ (* z z) z)) z) (/ (* y x) (+ (* z z) z)) (* (/ y z) x) (/ y z) (/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)) (/ (/ y z) z))
3.0ms
y
@inf
((* (/ x (* (+ (* z z) z) z)) y) (/ x (* (+ (* z z) z) z)) (* (+ (* z 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)) (neg (* z z)) (/ (/ (* y x) (+ (* z z) z)) z) (/ (* y x) (+ (* z z) z)) (* (/ y z) x) (/ y z) (/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)) (/ (/ y z) z))
2.0ms
x
@inf
((* (/ x (* (+ (* z z) z) z)) y) (/ x (* (+ (* z z) z) z)) (* (+ (* z 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)) (neg (* z z)) (/ (/ (* y x) (+ (* z z) z)) z) (/ (* y x) (+ (* z z) z)) (* (/ y z) x) (/ y z) (/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)) (/ (/ y z) z))

simplify176.0ms (2.6%)

Memory
29.1MiB live, 208.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0214984
1741859
22681787
08719764
Stop Event
1×iter limit
1×node limit
Counts
70 → 69
Calls
Call 1
Inputs
(/ (* x y) (* z (+ z (pow z 2))))
(/ x (* z (+ z (pow z 2))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ x (* (pow z 2) (+ 1 z)))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) z)
(/ y (* (pow z 2) (+ 1 z)))
(/ y z)
(/ y (+ z (pow z 2)))
(/ y (pow z 2))
(/ (* 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 (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))
z
(* z (+ 1 z))
(/ (+ 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))
(* -1 (pow z 2))
(/ (+ (* -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)
(/ (+ y (* -1 (* y z))) z)
(/ (+ y (* z (- (* y z) y))) z)
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) 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))
(/ 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 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))
(/ (+ (* -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))
(/ (+ 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))
(* -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) (/ x z)) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) 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)))
(* -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) (* -1 (/ (- (/ x z) x) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x z) x) z)) x) 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))
(/ (+ 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))
Outputs
(/ (* x y) (* z (+ z (pow z 2))))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(/ x (* z (+ z (pow z 2))))
(/.f64 x (*.f64 (fma.f64 z z z) z))
(/ (* 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))
(/ (* x y) (+ z (pow z 2)))
(*.f64 (/.f64 y (fma.f64 z z z)) x)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(/ y (* (pow z 2) (+ 1 z)))
(/.f64 (/.f64 y (fma.f64 z z z)) z)
(/ y z)
(/.f64 y z)
(/ y (+ z (pow z 2)))
(/.f64 y (fma.f64 z z z))
(/ y (pow z 2))
(/.f64 (/.f64 y z) z)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 y z) z) x)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (fma.f64 y x (*.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 y z) y) z y)) (neg.f64 z))) (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ (+ x (* -1 (* x z))) (pow z 2))
(/.f64 (-.f64 (/.f64 x z) x) z)
(/ (+ x (* z (- (* x z) x))) (pow z 2))
(+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) z x) z (neg.f64 x)) z x) z) z)
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
z
(* z (+ 1 z))
(fma.f64 z z z)
(/ (+ y (* -1 (* y z))) (pow z 2))
(/.f64 (-.f64 (/.f64 y z) y) z)
(/ (+ y (* z (- (* y z) y))) (pow z 2))
(+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (pow z 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) z y) z (neg.f64 y)) z y) z) z)
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(/ (+ (* -1 (* x (* y z))) (* x y)) z)
(*.f64 y (-.f64 (/.f64 x z) x))
(/ (+ (* 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 (fma.f64 y x (*.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 y z) y) z y)) (neg.f64 z))) z)
(/ (+ y (* -1 (* y z))) z)
(-.f64 (/.f64 y z) y)
(/ (+ y (* z (- (* y z) y))) z)
(/.f64 (fma.f64 (-.f64 (*.f64 y z) y) z y) z)
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) z y) z (neg.f64 y)) z y) z)
(/ (* 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 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z #s(literal 3 binary64))))
(/ (- (+ (* 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 (fma.f64 y x (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) (pow.f64 z #s(literal 3 binary64)))
(/ 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 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z)) (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 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 y (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y) z)) (pow.f64 z #s(literal 3 binary64)))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2))
(*.f64 (/.f64 (/.f64 y z) z) (-.f64 x (/.f64 x 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 (fma.f64 y x (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) (*.f64 z z))
(/ (+ y (* -1 (/ y z))) (pow z 2))
(/.f64 (-.f64 y (/.f64 y z)) (*.f64 z z))
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 2))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y) z) z)
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 2))
(/.f64 (-.f64 y (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y) z)) (*.f64 z z))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z #s(literal 3 binary64))))
(* -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 (fma.f64 y x (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) (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 (/ (+ (* -1 x) (/ x z)) 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) (* -1 (/ (+ (* -1 x) (/ x z)) z))) z))) (pow z 3)))
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z)) (pow.f64 z #s(literal 3 binary64)))
(* -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 (fma.f64 y x (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) (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 y (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y) 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 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z)) (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 (fma.f64 y x (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) (*.f64 z z))
(/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) (pow z 2))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y) z) z)
(/ (+ y (* -1 (/ (- (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z)) (* -1 y)) z))) (pow z 2))
(/.f64 (-.f64 y (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y) z)) (*.f64 z z))

rewrite179.0ms (2.6%)

Memory
-9.7MiB live, 185.9MiB allocated
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031201
049198
1131192
2586192
35674191
08296191
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 442
Calls
Call 1
Inputs
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(/.f64 x (*.f64 (fma.f64 z z z) z))
(*.f64 (fma.f64 z 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)) (neg.f64 (*.f64 z z)))) y)
(/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
#s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))
(neg.f64 (*.f64 z z))
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x)) z)
#s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) z)
(*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)))
#s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))
(/.f64 (/.f64 y z) z)
Outputs
(*.f64 (/.f64 (*.f64 (/.f64 y z) x) (*.f64 (fma.f64 z z #s(literal -1 binary64)) z)) (-.f64 z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 y z) x) (+.f64 (pow.f64 z #s(literal 4 binary64)) z)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 y z) x) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (fma.f64 z z z))
(*.f64 (/.f64 (*.f64 (/.f64 y z) x) (-.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 y x) (+.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z z))
(*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 y x) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 z z z) z))
(*.f64 (/.f64 (*.f64 y x) (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z z) (pow.f64 z #s(literal 6 binary64))))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(*.f64 (*.f64 (/.f64 x z) (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (fma.f64 z z z))
(*.f64 (*.f64 (/.f64 x z) (/.f64 y (-.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 y z) (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (fma.f64 z z z))
(*.f64 (*.f64 (/.f64 y z) (/.f64 x (-.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 y (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 z z z) z))
(*.f64 (/.f64 (*.f64 y (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) z) (/.f64 (fma.f64 z z z) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 y (/.f64 x (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) z))
(*.f64 (/.f64 (*.f64 y (/.f64 x (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))) z) (/.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 (/.f64 x z) z))
(*.f64 (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 (/.f64 y z) z))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (/.f64 x z) (fma.f64 z z z)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 y (fma.f64 z z z)) z))
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 (*.f64 y (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (/.f64 (fma.f64 z z z) z))
(*.f64 (*.f64 y (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (-.f64 z #s(literal 1 binary64)))
(*.f64 (*.f64 y (/.f64 x (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))) (/.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) z))
(*.f64 (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (*.f64 (fma.f64 z z z) (/.f64 y z)))
(*.f64 (/.f64 x (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (/.f64 y z)))
(*.f64 (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (*.f64 (fma.f64 z z z) (/.f64 x z)))
(*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z)))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x z) z))
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(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.f64 x (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(/.f64 (*.f64 (neg.f64 x) y) (neg.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(/.f64 (*.f64 y x) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))))
(neg.f64 (*.f64 y (/.f64 (neg.f64 x) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))))
(neg.f64 (*.f64 x (/.f64 (neg.f64 y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y))
(neg.f64 (*.f64 (/.f64 (neg.f64 y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x))
(/.f64 (neg.f64 y) (neg.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(neg.f64 (/.f64 (neg.f64 y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(neg.f64 (neg.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 z z))
(*.f64 (*.f64 z z) #s(literal -1 binary64))
(*.f64 (*.f64 z z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z z))
(*.f64 z z)
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 2 binary64))
(pow.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(neg.f64 (*.f64 z z))
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(fabs.f64 (*.f64 z z))
(exp.f64 (+.f64 (/.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (/.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 z) #s(literal 1 binary64))))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 1 binary64) (*.f64 (log.f64 z) #s(literal 1 binary64))))
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 z)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 z) #s(literal 4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (/.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.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)))
(+.f64 (cosh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.f64 (neg.f64 y) (/.f64 (neg.f64 x) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.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 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.f64 x (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(/.f64 (*.f64 (neg.f64 x) y) (neg.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(/.f64 (*.f64 y x) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))))
(neg.f64 (*.f64 y (/.f64 (neg.f64 x) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))))
(neg.f64 (*.f64 x (/.f64 (neg.f64 y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y))
(neg.f64 (*.f64 (/.f64 (neg.f64 y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x))
(/.f64 (neg.f64 x) (neg.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(neg.f64 (/.f64 (neg.f64 x) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(neg.f64 (neg.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 z z))
(*.f64 (*.f64 z z) #s(literal -1 binary64))
(*.f64 (*.f64 z z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z z))
(*.f64 z z)
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 2 binary64))
(pow.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(neg.f64 (*.f64 z z))
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(fabs.f64 (*.f64 z z))
(exp.f64 (+.f64 (/.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (/.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 z) #s(literal 1 binary64))))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 1 binary64) (*.f64 (log.f64 z) #s(literal 1 binary64))))
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 z)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 z) #s(literal 4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (/.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.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)))
(+.f64 (cosh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))))
(/.f64 (/.f64 (neg.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x))) #s(literal 1 binary64)) z)
(/.f64 (/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x)) #s(literal 1 binary64)) z)
(/.f64 (/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x)) z) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x))) z)
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x)) z)
(neg.f64 (/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x)) z))
#s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x))
(neg.f64 (neg.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x))))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y z))
(*.f64 (/.f64 x z) (/.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 x z) y)
(*.f64 (neg.f64 x) (/.f64 y z))
(*.f64 (neg.f64 y) (/.f64 x z))
(*.f64 (/.f64 y z) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (/.f64 (*.f64 y x) #s(literal 1 binary64)) z)
(/.f64 (*.f64 (neg.f64 x) y) z)
(/.f64 (*.f64 (/.f64 y z) x) #s(literal 1 binary64))
(/.f64 (*.f64 y x) z)
(neg.f64 (*.f64 (/.f64 y z) x))
(/.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) z)
(/.f64 (/.f64 y #s(literal 1 binary64)) z)
(/.f64 (neg.f64 y) z)
(/.f64 (/.f64 y z) #s(literal 1 binary64))
(/.f64 y z)
(neg.f64 (/.f64 y z))
(*.f64 (/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) z))
(*.f64 (/.f64 (neg.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) z))
(*.f64 (/.f64 x z) (/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) #s(literal 1 binary64)))
(*.f64 (/.f64 x z) (/.f64 (neg.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) #s(literal 1 binary64)))
(*.f64 (/.f64 x z) #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)))
(*.f64 (neg.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) (/.f64 x z))
(*.f64 (/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) z) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) z) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) z) x)
(*.f64 (neg.f64 x) (/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) z))
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) (/.f64 x z))
(*.f64 x (/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) z))
(/.f64 (/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 (neg.f64 x) #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) #s(literal 1 binary64)) z)
(/.f64 (*.f64 (/.f64 x z) #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) z)
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) z)
(neg.f64 (*.f64 (/.f64 x z) #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))))
(*.f64 (neg.f64 (neg.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)))) x)
(*.f64 (neg.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) (neg.f64 x))
(*.f64 (neg.f64 x) (neg.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))))
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x)
(*.f64 x (neg.f64 (neg.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)))))
(*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)))
(neg.f64 (*.f64 (neg.f64 x) #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))))
#s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))
(/.f64 (/.f64 y #s(literal 1 binary64)) (*.f64 z z))
(/.f64 (neg.f64 y) (*.f64 z z))
(/.f64 (/.f64 (/.f64 y z) z) #s(literal 1 binary64))
(/.f64 (/.f64 y z) z)
(/.f64 y (*.f64 z z))
(neg.f64 (/.f64 (/.f64 y z) z))

eval65.0ms (0.9%)

Memory
-13.2MiB live, 174.5MiB allocated
Compiler

Compiled 9 548 to 1 707 computations (82.1% saved)

prune21.0ms (0.3%)

Memory
42.0MiB live, 88.2MiB allocated
Pruning

21 alts after pruning (6 fresh and 15 done)

PrunedKeptTotal
New4834487
Fresh224
Picked055
Done11011
Total48621507
Accuracy
100.0%
Counts
507 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓87.0%
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z)
✓95.2%
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
✓79.9%
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
✓64.1%
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) z)
61.6%
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y (*.f64 z z)))) z)
✓79.9%
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
✓69.0%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
✓28.7%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
✓73.0%
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x)) z)
✓94.7%
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
✓81.4%
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
✓71.0%
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
31.4%
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) x)
74.6%
(*.f64 (/.f64 y z) #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))
✓85.4%
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
✓75.3%
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
✓33.2%
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y)
63.8%
(*.f64 (/.f64 x z) #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)))
25.7%
(*.f64 (neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) (/.f64 y z))
56.9%
(*.f64 #s(approx (/ y (* (* z z) (+ z 1))) (/.f64 (-.f64 (/.f64 y z) y) z)) x)
✓66.2%
#s(approx (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 (/.f64 y z) z) x))
Compiler

Compiled 742 to 312 computations (58% saved)

regimes55.0ms (0.8%)

Memory
-25.1MiB live, 90.0MiB allocated
Counts
30 → 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 (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 (neg.f64 y) (*.f64 z z)) x))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y z) #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x)) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(*.f64 (neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) (/.f64 y z))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)))
(*.f64 #s(approx (/ y (* (* z z) (+ z 1))) (/.f64 (-.f64 (/.f64 y z) y) z)) x)
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (-.f64 (/.f64 y z) y))) z)
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y (*.f64 z z)))) z)
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z)
(*.f64 (/.f64 x z) #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)))
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) z)
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal -1 binary64) z)))
(/.f64 (/.f64 (*.f64 y (/.f64 x z)) (+.f64 #s(literal -1 binary64) z)) z)
(/.f64 (/.f64 (*.f64 (/.f64 y z) x) (+.f64 #s(literal -1 binary64) z)) z)
Outputs
(*.f64 (/.f64 x z) #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)))
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
Calls

6 calls:

16.0ms
z
9.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
8.0ms
y
8.0ms
x
7.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
98.2%2(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
96.3%1(*.f64 x y)
96.3%1(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
96.3%1x
96.3%1y
98.2%2z
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes65.0ms (1%)

Memory
-10.7MiB live, 76.6MiB allocated
Counts
25 → 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 (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 (neg.f64 y) (*.f64 z z)) x))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y z) #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x)) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(*.f64 (neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) (/.f64 y z))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)))
(*.f64 #s(approx (/ y (* (* z z) (+ z 1))) (/.f64 (-.f64 (/.f64 y z) y) z)) x)
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (-.f64 (/.f64 y z) y))) z)
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y (*.f64 z z)))) z)
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z)
Outputs
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
Calls

5 calls:

35.0ms
z
10.0ms
(*.f64 x y)
7.0ms
y
6.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
5.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
96.3%1(*.f64 x y)
96.3%1(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
96.3%1y
96.3%1(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
96.3%1z
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes48.0ms (0.7%)

Memory
18.4MiB live, 113.1MiB allocated
Counts
22 → 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 (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 (neg.f64 y) (*.f64 z z)) x))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y z) #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x)) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(*.f64 (neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) (/.f64 y z))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)))
(*.f64 #s(approx (/ y (* (* z z) (+ z 1))) (/.f64 (-.f64 (/.f64 y z) y) z)) x)
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (-.f64 (/.f64 y z) y))) z)
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y (*.f64 z z)))) z)
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
Outputs
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
Calls

6 calls:

16.0ms
(*.f64 x y)
9.0ms
x
6.0ms
y
6.0ms
z
5.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
94.7%1(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
94.7%1x
94.7%1z
94.7%1(*.f64 x y)
96.3%2(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
94.7%1y
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes128.0ms (1.9%)

Memory
7.0MiB live, 100.2MiB allocated
Counts
21 → 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 (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 (neg.f64 y) (*.f64 z z)) x))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y z) #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x)) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(*.f64 (neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) (/.f64 y z))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)))
(*.f64 #s(approx (/ y (* (* z z) (+ z 1))) (/.f64 (-.f64 (/.f64 y z) y) z)) x)
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (-.f64 (/.f64 y z) y))) z)
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y (*.f64 z z)))) z)
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
Outputs
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
Calls

5 calls:

106.0ms
x
6.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
6.0ms
z
5.0ms
(*.f64 x y)
5.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
94.7%1(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
94.7%1(*.f64 x y)
94.7%1x
94.7%1z
94.7%1(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes72.0ms (1.1%)

Memory
-13.0MiB live, 133.3MiB allocated
Counts
20 → 3
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 (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 (neg.f64 y) (*.f64 z z)) x))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y z) #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x)) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(*.f64 (neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) (/.f64 y z))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)))
(*.f64 #s(approx (/ y (* (* z z) (+ z 1))) (/.f64 (-.f64 (/.f64 y z) y) z)) x)
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (-.f64 (/.f64 y z) y))) z)
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y (*.f64 z z)))) z)
Outputs
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y (*.f64 z z)))) z)
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)))
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y (*.f64 z z)))) z)
Calls

6 calls:

41.0ms
z
7.0ms
(*.f64 x y)
7.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
6.0ms
x
5.0ms
y
Results
AccuracySegmentsBranch
88.8%2y
95.6%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
91.2%2(*.f64 x y)
90.9%2(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
90.7%2x
95.6%3z
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes17.0ms (0.2%)

Memory
-12.0MiB live, 34.2MiB allocated
Counts
19 → 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 (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 (neg.f64 y) (*.f64 z z)) x))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y z) #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(/.f64 #s(approx (/ (* y x) (+ (* z z) z)) (*.f64 (/.f64 y z) x)) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(*.f64 (neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) (/.f64 y z))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)))
(*.f64 #s(approx (/ y (* (* z z) (+ z 1))) (/.f64 (-.f64 (/.f64 y z) y) z)) x)
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (-.f64 (/.f64 y z) y))) z)
Outputs
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
Calls

3 calls:

6.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
5.0ms
z
5.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
91.2%2(*.f64 x y)
92.3%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
92.3%3z
Compiler

Compiled 11 to 14 computations (-27.3% saved)

regimes19.0ms (0.3%)

Memory
-6.7MiB live, 47.1MiB allocated
Counts
9 → 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 (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 (neg.f64 y) (*.f64 z z)) x))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 (/.f64 y z) z) x))
Outputs
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
Calls

6 calls:

5.0ms
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
81.1%2y
81.6%2x
82.4%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
82.4%3z
79.7%2(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
82.1%2(*.f64 x y)
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes14.0ms (0.2%)

Memory
24.5MiB live, 24.5MiB allocated
Accuracy

Total -30.0b remaining (-189.5%)

Threshold costs -30b (-189.5%)

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 (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 (neg.f64 y) (*.f64 z z)) x))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
Outputs
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
Calls

6 calls:

2.0ms
z
2.0ms
y
2.0ms
x
2.0ms
(*.f64 x y)
2.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
75.3%1(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
75.3%1z
75.3%1(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
75.3%1y
75.3%1x
75.3%1(*.f64 x y)
Compiler

Compiled 24 to 29 computations (-20.8% saved)

bsearch25.0ms (0.4%)

Memory
-23.8MiB live, 22.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
23.0ms
-1.848444464249205e+138
-1.0649001266224549e+136
Samples
6.0ms112×0valid
Compiler

Compiled 203 to 155 computations (23.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (53.5% of total)
ival-div: 1.0ms (26.8% of total)
ival-add: 1.0ms (26.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0268619e-316
3.632326158698141e-281
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch28.0ms (0.4%)

Memory
-6.4MiB live, 39.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
6.0ms
3.2925193159197852e-9
5.6020113083504385e-9
13.0ms
-191790.49034121496
-0.4491337161205448
Samples
11.0ms208×0valid
Compiler

Compiled 508 to 366 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (63.4% of total)
ival-div: 1.0ms (15.9% of total)
ival-add: 1.0ms (15.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
6.544705128092763e-144
6.313346537833186e-143
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
6.544705128092763e-144
6.313346537833186e-143
Compiler

Compiled 14 to 15 computations (-7.1% saved)

simplify54.0ms (0.8%)

Memory
7.2MiB live, 49.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061222
192222
2206222
3666222
41543222
52398222
62919222
72919222
82919222
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 z #s(literal -15999999999999999389275053469039037815187765380428562423126465975281606464890491050819067362633512965899236633288513137460980182138486784 binary64)) (*.f64 (/.f64 x z) #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) (/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z))
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 40480451/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(if (<=.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y (*.f64 z z)))) z) (if (<=.f64 z #s(literal 1662273001970115/302231454903657293676544 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))) (/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y (*.f64 z z)))) z)))
(if (<=.f64 (*.f64 x y) #s(literal 2196735251241795/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y))
(if (<=.f64 (*.f64 x y) #s(literal 2196735251241795/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
Outputs
(if (<=.f64 z #s(literal -15999999999999999389275053469039037815187765380428562423126465975281606464890491050819067362633512965899236633288513137460980182138486784 binary64)) (*.f64 (/.f64 x z) #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) (/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z))
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 40480451/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(if (<=.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y (*.f64 z z)))) z) (if (<=.f64 z #s(literal 1662273001970115/302231454903657293676544 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))) (/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y (*.f64 z z)))) z)))
(if (or (<=.f64 z #s(literal -1 binary64)) (not (<=.f64 z #s(literal 1662273001970115/302231454903657293676544 binary64)))) (/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y (*.f64 z z)))) z) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))))
(if (<=.f64 (*.f64 x y) #s(literal 2196735251241795/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y))
(if (<=.f64 (*.f64 x y) #s(literal 2196735251241795/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)

soundness1.1s (16.6%)

Memory
31.5MiB live, 799.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0195916
1672809
22348732
08678714
0924
01424
15624
234324
3308724
0906022
024121
040121
1121119
2600119
36416119
08215119
062236
1207215
2857193
34522183
08208179
031201
049198
1131192
2586192
35674191
08296191
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 567 to 268 computations (52.7% saved)

preprocess321.0ms (4.7%)

Memory
-12.5MiB live, 323.6MiB allocated
Compiler

Compiled 704 to 286 computations (59.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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