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

Time bar (total: 9.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze580.0ms (6.3%)

Memory
-7.1MiB live, 113.6MiB 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)

sample1.7s (18.3%)

Memory
-118.3MiB live, 1 528.4MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 634.0ms
ival-mult: 330.0ms (52% of total)
ival-add: 196.0ms (30.9% of total)
ival-div: 92.0ms (14.5% of total)
ival-true: 7.0ms (1.1% of total)
exact: 5.0ms (0.8% of total)
ival-assert: 4.0ms (0.6% of total)
Bogosity

explain131.0ms (1.4%)

Memory
-7.9MiB live, 190.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
450-1(1.8896105831640484e+108 1.9986468628573688e-275 -2.8678892427403913e-161)(/.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/o150
↳(*.f64 x y)overflow37
↳(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))overflow79
↳(*.f64 z z)overflow57
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))n/u140
↳(*.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/u70
↳(*.f64 x y)underflow23
↳(*.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))))o/n40
↳(*.f64 x y)overflow37
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))n/o40
↳(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))overflow79
↳(*.f64 z z)overflow57
Confusion
Predicted +Predicted -
+441
-0211
Precision
1.0
Recall
0.9777777777777777
Confusion?
Predicted +Predicted MaybePredicted -
+4401
-00211
Precision?
1.0
Recall?
0.9777777777777777
Freqs
test
numberfreq
0212
144
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
79.0ms512×0valid
Compiler

Compiled 108 to 40 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 15.0ms (67.7% of total)
ival-div: 3.0ms (13.5% of total)
ival-add: 3.0ms (13.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess161.0ms (1.7%)

Memory
13.8MiB live, 172.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034110
1162102
2847101
3381799
0911
01411
13911
214711
356511
4176711
5319411
6448011
7639111
8717611
0806110
Stop Event
1×iter limit
1×node limit
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
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶83.0%
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify106.0ms (1.1%)

Memory
5.7MiB live, 127.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 z #s(literal 1 binary64))
cost-diff0
(*.f64 z z)
cost-diff0
(*.f64 x y)
cost-diff128
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
01431
13931
214731
356531
4176731
5319431
6448031
7639131
8717631
0806129
Stop Event
1×iter limit
1×node limit
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 z #s(literal -1 binary64))
#s(literal 1 binary64)

localize24.0ms (0.3%)

Memory
-10.6MiB live, 66.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 z z)
accuracy0
(*.f64 x y)
accuracy0.0390625
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
accuracy10.765386421520283
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Samples
18.0ms256×0valid
Compiler

Compiled 64 to 20 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (63.5% of total)
ival-div: 1.0ms (10.6% of total)
ival-add: 1.0ms (10.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
0.1MiB live, 38.2MiB allocated
Counts
5 → 21
Calls
Call 1
Inputs
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
(*.f64 x y)
(*.f64 z z)
(+.f64 z #s(literal 1 binary64))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Outputs
(* x y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(pow z 2)
(* (pow z 2) (+ 1 z))
1
(+ 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)))
z
(* z (+ 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) (+ z 1))))
2.0ms
y
@-inf
((* (* z z) (+ z 1)) (* x y) (* z z) (+ z 1) (/ (* x y) (* (* z z) (+ z 1))))
2.0ms
x
@0
((* (* z z) (+ z 1)) (* x y) (* z z) (+ z 1) (/ (* x y) (* (* z z) (+ z 1))))
2.0ms
x
@inf
((* (* z z) (+ z 1)) (* x y) (* z z) (+ z 1) (/ (* x y) (* (* z z) (+ z 1))))
1.0ms
x
@-inf
((* (* z z) (+ z 1)) (* x y) (* z z) (+ z 1) (/ (* x y) (* (* z z) (+ z 1))))

simplify240.0ms (2.6%)

Memory
-4.6MiB live, 276.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063244
1231219
2881201
34941197
08139188
Stop Event
1×iter limit
1×node limit
Counts
21 → 20
Calls
Call 1
Inputs
(* x y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(pow z 2)
(* (pow z 2) (+ 1 z))
1
(+ 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)))
z
(* z (+ 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)
(*.f64 y x)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
1
#s(literal 1 binary64)
(+ 1 z)
(-.f64 z #s(literal -1 binary64))
(/ (* 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))
(fma.f64 (/.f64 x z) (-.f64 (/.f64 y z) y) (*.f64 y x))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))) (*.f64 z z))
(pow z 3)
(pow.f64 z #s(literal 3 binary64))
(* (pow z 3) (+ 1 (/ 1 z)))
(*.f64 (fma.f64 z z z) z)
z
(* z (+ 1 (/ 1 z)))
(-.f64 z #s(literal -1 binary64))
(/ (* x y) (pow z 3))
(*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) y)
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 x z)))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (fma.f64 (/.f64 x z) (-.f64 (/.f64 y z) y) (*.f64 y x)) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/.f64 (fma.f64 (/.f64 x z) (-.f64 (/.f64 y z) y) (*.f64 y (-.f64 x (/.f64 x (pow.f64 z #s(literal 3 binary64)))))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 x z)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(/.f64 (fma.f64 (/.f64 x z) (-.f64 (/.f64 y z) y) (*.f64 y x)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(/.f64 (fma.f64 (/.f64 x z) (-.f64 (/.f64 y z) y) (*.f64 y (-.f64 x (/.f64 x (pow.f64 z #s(literal 3 binary64)))))) (pow.f64 z #s(literal 3 binary64)))

rewrite144.0ms (1.6%)

Memory
15.5MiB live, 171.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
01427
16127
241827
3498227
01024025
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 455
Calls
Call 1
Inputs
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
(*.f64 x y)
(*.f64 z z)
(+.f64 z #s(literal 1 binary64))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Outputs
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 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 (pow.f64 z #s(literal 3 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)) (fma.f64 z z #s(literal 1 binary64)))) (fma.f64 z z (-.f64 z #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 z z (pow.f64 z #s(literal 5 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 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 (fma.f64 z z z) #s(literal -1 binary64)) z)
(*.f64 (+.f64 (pow.f64 z #s(literal 3/2 binary64)) z) (-.f64 (pow.f64 z #s(literal 3/2 binary64)) z))
(*.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 z z))
(*.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) z) z) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 z z (pow.f64 z #s(literal 5 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal -2 binary64)) (-.f64 z #s(literal 1 binary64))))
(*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 9 binary64))) (pow.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 5 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z))
(*.f64 (fma.f64 z z z) (/.f64 z #s(literal 1 binary64)))
(*.f64 (fma.f64 z z z) z)
(*.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 z z))
(*.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 z z)))
(*.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 z (/.f64 z (-.f64 z #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (*.f64 z z) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 z z)))
(*.f64 (*.f64 (fma.f64 z z z) z) #s(literal -1 binary64))
(*.f64 (*.f64 (fma.f64 z z z) z) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 z z) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.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 z #s(literal 1 binary64))))
(*.f64 (*.f64 z z) (-.f64 z #s(literal -1 binary64)))
(*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(*.f64 (*.f64 z z) (-.f64 z #s(literal 1 binary64)))
(*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) z))
(*.f64 z (/.f64 (fma.f64 z z z) #s(literal 1 binary64)))
(*.f64 z (fma.f64 z z z))
(pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (-.f64 z #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 z z z) z) #s(literal 1 binary64))
(/.f64 (fma.f64 (pow.f64 z #s(literal 9 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 5 binary64)))) (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (-.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 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 5 binary64)))) (+.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 5 binary64))))))
(/.f64 (*.f64 (*.f64 z z) (fma.f64 z z #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (*.f64 z z) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 z z (-.f64 z #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) z) z)) (-.f64 z #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (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 #s(literal -1 binary64) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 9 binary64)))) (+.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 5 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 (fma.f64 z z z) z))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (fma.f64 z z z) z))
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(/.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z z)) y) (-.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 z #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z z)) y) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 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 y (/.f64 x z)) #s(literal 1 binary64)) (fma.f64 z z z))
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(literal 1 binary64)) (*.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 (neg.f64 y) (/.f64 x z)) (fma.f64 z z z))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 z (/.f64 z x))))
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 z z)))
(/.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 z z)))
(/.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 (*.f64 (/.f64 x z) (neg.f64 y)) (fma.f64 z z z))
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(/.f64 (*.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 (fma.f64 z z z) y))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (*.f64 z (/.f64 z x)) (-.f64 z #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z (/.f64 z x)) (-.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 (*.f64 y (/.f64 x z)) (+.f64 (pow.f64 z #s(literal 3 binary64)) z)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) x) (*.f64 z z))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (/.f64 (fma.f64 z z z) x) y))
(/.f64 (*.f64 y (/.f64 x z)) (fma.f64 z z z))
(/.f64 (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))) #s(literal 1 binary64))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 (*.f64 z (/.f64 z y)) x))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) x) y))
(/.f64 (/.f64 (/.f64 y z) z) (/.f64 (-.f64 #s(literal 1 binary64) z) x))
(/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y)))
(/.f64 (/.f64 y z) (/.f64 (fma.f64 z z z) x))
(/.f64 (/.f64 x z) (/.f64 (fma.f64 z z z) y))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 (fma.f64 z z z) x) y) z))
(/.f64 (*.f64 (/.f64 x (*.f64 z z)) y) (-.f64 z #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 x (*.f64 z z)) y) (-.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (-.f64 z #s(literal 1 binary64))) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x)))
(/.f64 (/.f64 x (*.f64 z z)) (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(/.f64 (*.f64 (neg.f64 x) y) (*.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x)))
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (fma.f64 z z z) x) y) z))
(neg.f64 (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))))
(fma.f64 (/.f64 (*.f64 y (/.f64 x z)) (+.f64 (pow.f64 z #s(literal 3 binary64)) z)) z (*.f64 (/.f64 (*.f64 y (/.f64 x z)) (+.f64 (pow.f64 z #s(literal 3 binary64)) z)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (*.f64 z z)))
(fma.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (*.f64 z z) (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) z)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (*.f64 (*.f64 z z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))))
(fma.f64 (*.f64 z z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))))
(fma.f64 z (/.f64 (*.f64 y (/.f64 x z)) (+.f64 (pow.f64 z #s(literal 3 binary64)) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (/.f64 x z)) (+.f64 (pow.f64 z #s(literal 3 binary64)) z))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (fma.f64 z z z) z)) (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))))
(fabs.f64 (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 z) (log.f64 (*.f64 (/.f64 x (*.f64 z z)) y))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (-.f64 (log1p.f64 z) (log.f64 (*.f64 (/.f64 x (*.f64 z z)) y))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (-.f64 (log1p.f64 z) (log.f64 (*.f64 (/.f64 x (*.f64 z z)) y))) #s(literal -1 binary64))))
(+.f64 (*.f64 z (/.f64 (*.f64 y (/.f64 x z)) (+.f64 (pow.f64 z #s(literal 3 binary64)) z))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (/.f64 x z)) (+.f64 (pow.f64 z #s(literal 3 binary64)) z))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))) (*.f64 (*.f64 z z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))))
(+.f64 (*.f64 (*.f64 z z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))))
(+.f64 (*.f64 (/.f64 (*.f64 y (/.f64 x z)) (+.f64 (pow.f64 z #s(literal 3 binary64)) z)) z) (*.f64 (/.f64 (*.f64 y (/.f64 x z)) (+.f64 (pow.f64 z #s(literal 3 binary64)) z)) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (*.f64 z z)))
(+.f64 (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (*.f64 z z)) (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) z)))

eval93.0ms (1%)

Memory
-20.6MiB live, 95.9MiB allocated
Compiler

Compiled 9 035 to 1 365 computations (84.9% saved)

prune13.0ms (0.1%)

Memory
38.5MiB live, 38.5MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New45911470
Fresh000
Picked101
Done000
Total46011471
Accuracy
100.0%
Counts
471 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.0%
(/.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 z x)))
93.5%
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
▶95.6%
(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)
▶83.0%
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
▶94.5%
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
▶71.3%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
93.9%
(/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x)))
▶87.1%
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
47.6%
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (-.f64 z #s(literal 1 binary64))))
94.2%
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
76.2%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
Compiler

Compiled 252 to 182 computations (27.8% saved)

simplify173.0ms (1.9%)

Memory
-12.4MiB live, 115.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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)
cost-diff0
(fma.f64 z z z)
cost-diff0
(/.f64 (fma.f64 z z z) y)
cost-diff0
(*.f64 z (/.f64 (fma.f64 z z z) y))
cost-diff0
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
cost-diff-384
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
cost-diff0
(fma.f64 z z z)
cost-diff0
(*.f64 (fma.f64 z z z) z)
cost-diff0
(*.f64 y x)
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 x (fma.f64 z z z))
cost-diff0
(*.f64 y (/.f64 x (fma.f64 z z z)))
cost-diff0
(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024154
040154
183152
2190152
3539152
41753152
53457152
65011152
76752152
87826152
08011152
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)
(*.f64 y (/.f64 x (fma.f64 z z z)))
y
(/.f64 x (fma.f64 z z z))
x
(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 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
x
(*.f64 z (/.f64 (fma.f64 z z z) y))
z
(/.f64 (fma.f64 z z z) y)
(fma.f64 z z z)
y
(/.f64 (*.f64 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
Outputs
(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z)
(*.f64 y (/.f64 x (fma.f64 z z z)))
(*.f64 (/.f64 y (fma.f64 z z z)) x)
y
(/.f64 x (fma.f64 z z z))
x
(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 (*.f64 (/.f64 y (fma.f64 z z z)) x) z)
(*.f64 y x)
(*.f64 x y)
y
x
(*.f64 (fma.f64 z z z) z)
(fma.f64 z z z)
z
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z)
x
(*.f64 z (/.f64 (fma.f64 z z z) y))
(*.f64 (/.f64 (fma.f64 z z z) y) z)
z
(/.f64 (fma.f64 z z z) y)
(fma.f64 z z z)
y
(/.f64 (*.f64 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

localize75.0ms (0.8%)

Memory
-4.9MiB live, 101.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 z z z)
accuracy0.3501160298129209
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
accuracy6.1221892164923455
(/.f64 y (fma.f64 z z z))
accuracy7.250693625672437
(*.f64 x (/.f64 y (fma.f64 z z z)))
accuracy0
(fma.f64 z z z)
accuracy0.0703125
(*.f64 z (/.f64 (fma.f64 z z z) y))
accuracy5.9466838385040575
(/.f64 (fma.f64 z z z) y)
accuracy8.204333364705551
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
accuracy0
(fma.f64 z z z)
accuracy0
(*.f64 y x)
accuracy0.02734375
(*.f64 (fma.f64 z z z) z)
accuracy10.765386421520283
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
accuracy0
(*.f64 z z)
accuracy0
(*.f64 x y)
accuracy10.765386421520283
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
accuracy21.402006378770928
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy0
(fma.f64 z z z)
accuracy0.3501160298129209
(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)
accuracy1.8807605708662853
(/.f64 x (fma.f64 z z z))
accuracy3.8455393565712366
(*.f64 y (/.f64 x (fma.f64 z z z)))
Samples
60.0ms256×0valid
Compiler

Compiled 317 to 48 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-div: 21.0ms (58% of total)
ival-mult: 12.0ms (33.1% of total)
ival-add: 3.0ms (8.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series35.0ms (0.4%)

Memory
-3.0MiB live, 49.0MiB allocated
Counts
17 → 64
Calls
Call 1
Inputs
(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)
(*.f64 y (/.f64 x (fma.f64 z z z)))
(/.f64 x (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 y x)
(*.f64 (fma.f64 z z z) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(*.f64 z (/.f64 (fma.f64 z z z) y))
(/.f64 (fma.f64 z z z) y)
(/.f64 (*.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))
Outputs
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (+ z (pow z 2)))
(/ x (+ z (pow z 2)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* x y)
(/ (* z (+ z (pow z 2))) y)
(/ (+ z (pow z 2)) y)
(/ y (+ z (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 y) z)
(/ (+ (* -1 (* x (* y z))) (* x y)) z)
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z)
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z)
(/ x z)
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* z (- (* x z) x))) z)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) z)
z
(* z (+ 1 z))
(pow z 2)
(* (pow z 2) (+ 1 z))
(/ (pow z 2) y)
(* (pow z 2) (+ (/ 1 y) (/ z y)))
(/ z y)
(* z (+ (/ 1 y) (/ z y)))
(/ 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))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 2))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 2))
(/ x (pow z 2))
(/ (+ x (* -1 (/ x z))) (pow z 2))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 2))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 2))
(* (pow z 2) (+ 1 (/ 1 z)))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(/ (pow z 3) y)
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(/ 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))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(/ (+ (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2))
(/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 2))
(/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 2))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(/ (+ 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
13.0ms
y
@inf
((/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (/ x (+ (* 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))) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)))
4.0ms
x
@inf
((/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (/ x (+ (* 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))) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)))
4.0ms
y
@-inf
((/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (/ x (+ (* 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))) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)))
3.0ms
x
@-inf
((/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (/ x (+ (* 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))) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)))
3.0ms
x
@0
((/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (/ x (+ (* 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))) (* z (/ (+ (* z z) z) y)) (/ (+ (* z z) z) y) (/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)))

simplify145.0ms (1.6%)

Memory
9.2MiB live, 275.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0188825
1673731
22176664
08241637
Stop Event
1×iter limit
1×node limit
Counts
64 → 63
Calls
Call 1
Inputs
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (+ z (pow z 2)))
(/ x (+ z (pow z 2)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* x y)
(/ (* z (+ z (pow z 2))) y)
(/ (+ z (pow z 2)) y)
(/ y (+ z (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 y) z)
(/ (+ (* -1 (* x (* y z))) (* x y)) z)
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z)
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z)
(/ x z)
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* z (- (* x z) x))) z)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) z)
z
(* z (+ 1 z))
(pow z 2)
(* (pow z 2) (+ 1 z))
(/ (pow z 2) y)
(* (pow z 2) (+ (/ 1 y) (/ z y)))
(/ z y)
(* z (+ (/ 1 y) (/ z y)))
(/ 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))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 2))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 2))
(/ x (pow z 2))
(/ (+ x (* -1 (/ x z))) (pow z 2))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 2))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 2))
(* (pow z 2) (+ 1 (/ 1 z)))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(/ (pow z 3) y)
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(/ 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))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(/ (+ (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2))
(/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 2))
(/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 2))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(/ (+ 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 (/.f64 x (fma.f64 z z z)) z) y)
(/ (* x y) (+ z (pow z 2)))
(*.f64 (/.f64 y (fma.f64 z z z)) x)
(/ x (+ z (pow z 2)))
(/.f64 x (fma.f64 z z z))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(* x y)
(*.f64 x y)
(/ (* z (+ z (pow z 2))) y)
(*.f64 (/.f64 (fma.f64 z z z) y) z)
(/ (+ z (pow z 2)) y)
(/.f64 (fma.f64 z z z) y)
(/ y (+ z (pow z 2)))
(/.f64 y (fma.f64 z z z))
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 y z) z) x)
(/ (+ (* -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))
(*.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 (fma.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) (neg.f64 z) (*.f64 x y)) (*.f64 z z))
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (+ (* -1 (* x (* y z))) (* x y)) z)
(*.f64 (-.f64 (/.f64 y z) y) 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 (fma.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) (neg.f64 z) (*.f64 x y)) z)
(/ x z)
(/.f64 x z)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(/ (+ x (* z (- (* x z) x))) z)
(fma.f64 (+.f64 #s(literal -1 binary64) z) x (/.f64 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)
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)
(/ (pow z 2) y)
(*.f64 (/.f64 z y) z)
(* (pow z 2) (+ (/ 1 y) (/ z y)))
(*.f64 (/.f64 (fma.f64 z z z) y) z)
(/ z y)
(/.f64 z y)
(* z (+ (/ 1 y) (/ z y)))
(/.f64 (fma.f64 z z z) y)
(/ y z)
(/.f64 y z)
(/ (+ y (* -1 (* y z))) z)
(-.f64 (/.f64 y z) y)
(/ (+ y (* z (- (* y z) y))) z)
(fma.f64 (+.f64 #s(literal -1 binary64) z) y (/.f64 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 (*.f64 x (-.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 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 x (/.f64 (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y) z) (*.f64 x y)) (pow.f64 z #s(literal 3 binary64)))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2))
(/.f64 (*.f64 y (/.f64 (-.f64 x (/.f64 x z)) z)) z)
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 2))
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (*.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 x (/.f64 (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y) z) (*.f64 x y)) (*.f64 z z))
(/ x (pow z 2))
(/.f64 (/.f64 x z) z)
(/ (+ x (* -1 (/ x z))) (pow z 2))
(/.f64 (/.f64 (-.f64 x (/.f64 x z)) z) z)
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 2))
(/.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) z) z)
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 2))
(/.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x 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)
(/ (pow z 3) y)
(/.f64 (pow.f64 z #s(literal 3 binary64)) y)
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(*.f64 (/.f64 (fma.f64 z z z) y) z)
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(/.f64 (fma.f64 z z z) y)
(/ 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)
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(/.f64 (*.f64 x (-.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 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 x (/.f64 (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y) z) (*.f64 x y)) (pow.f64 z #s(literal 3 binary64)))
(/ (+ (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2))
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (*.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 x (/.f64 (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y) z) (*.f64 x y)) (*.f64 z z))
(/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 2))
(/.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) z) z)
(/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 2))
(/.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x 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 x (/.f64 (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y) z) (*.f64 x y)) (pow.f64 z #s(literal 3 binary64)))
(/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) (pow z 2))
(/.f64 (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z) z)
(/ (+ y (* -1 (/ (- (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z)) (* -1 y)) z))) (pow z 2))
(/.f64 (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z)) z) z)

rewrite221.0ms (2.4%)

Memory
-16.5MiB live, 278.5MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024127
040127
1156125
2899125
09042125
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 2 037
Calls
Call 1
Inputs
(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)
(*.f64 y (/.f64 x (fma.f64 z z z)))
(/.f64 x (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 y x)
(*.f64 (fma.f64 z z z) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(*.f64 z (/.f64 (fma.f64 z z z) y))
(/.f64 (fma.f64 z z z) y)
(/.f64 (*.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))
Outputs
(*.f64 (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) #s(literal -1 binary64)) y)
(*.f64 (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z (pow.f64 z #s(literal 4 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 (pow.f64 (*.f64 (fma.f64 z z z) z) #s(literal -1 binary64)) x) y)
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 x y) (fma.f64 z z (pow.f64 z #s(literal 4 binary64))))) (fma.f64 z z z))
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 x 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 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (/.f64 y z))
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) z))) (/.f64 x z))
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 x y)) (pow.f64 (fma.f64 z z z) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) x) (/.f64 y (fma.f64 z z z)))
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) (/.f64 x (fma.f64 z z z)))
(*.f64 (*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z (pow.f64 z #s(literal 4 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 (pow.f64 (/.f64 (*.f64 (/.f64 (fma.f64 z z z) y) z) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 (/.f64 (fma.f64 z z z) y) z) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 y (fma.f64 z z z)) z))
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (/.f64 x (fma.f64 z z z)) z))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (/.f64 x (fma.f64 z z z)) z))
(*.f64 (/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) (pow.f64 (*.f64 (fma.f64 z z z) z) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 x y) (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 z z z) z))
(*.f64 (/.f64 (/.f64 (*.f64 x y) (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) z) (fma.f64 z z z))
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(/.f64 (fma.f64 z z z) (/.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) y))
(/.f64 y (fma.f64 z z z))
(neg.f64 (/.f64 y (fma.f64 z z z)))
(fma.f64 (/.f64 y (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) (*.f64 z z) (*.f64 (/.f64 y (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) (neg.f64 z)))
(fma.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 z #s(literal 4 binary64)) (*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 z z z) z)))
(fma.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 z z z) z) (*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 (fma.f64 z z z) z) (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(fma.f64 (*.f64 (fma.f64 z z z) z) (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(fma.f64 (*.f64 z z) (/.f64 y (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) (*.f64 (neg.f64 z) (/.f64 y (fma.f64 z z (pow.f64 z #s(literal 4 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 z z z)) (/.f64 y (fma.f64 z z z)))
(-.f64 #s(literal 0 binary64) (/.f64 y (fma.f64 z z z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 z z z) y)) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 z z) (/.f64 y (fma.f64 z z (pow.f64 z #s(literal 4 binary64))))) (*.f64 (neg.f64 z) (/.f64 y (fma.f64 z z (pow.f64 z #s(literal 4 binary64))))))
(+.f64 (*.f64 (*.f64 (fma.f64 z z z) z) (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(+.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (*.f64 (fma.f64 z z z) z) (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(+.f64 (*.f64 (/.f64 y (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) (*.f64 z z)) (*.f64 (/.f64 y (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) (neg.f64 z)))
(+.f64 (*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 z z z) z)) (*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 z #s(literal 4 binary64))))
(+.f64 (*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 z #s(literal 4 binary64))) (*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 z z z) z)))

eval222.0ms (2.4%)

Memory
24.7MiB live, 319.3MiB allocated
Compiler

Compiled 34 487 to 5 520 computations (84% saved)

prune45.0ms (0.5%)

Memory
-5.7MiB live, 121.6MiB allocated
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New1 864111 875
Fresh336
Picked235
Done000
Total1 869171 886
Accuracy
100.0%
Counts
1 886 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.8%
(/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 (/.f64 x z) z))) z)
78.0%
(/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z)
✓83.0%
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
✓94.5%
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
59.9%
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) z)
▶74.9%
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y z))) z)
✓71.3%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
74.7%
(/.f64 #s(approx (* y (/ x (+ (* z z) z))) (/.f64 (*.f64 x y) z)) z)
74.5%
(/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x))
▶93.9%
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z))
47.6%
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (-.f64 z #s(literal 1 binary64))))
▶94.2%
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
69.3%
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
93.9%
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
▶74.5%
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
▶68.2%
#s(approx (/ (* y (/ x (+ (* z z) z))) z) (*.f64 (/.f64 (/.f64 y z) z) x))
76.2%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
Compiler

Compiled 445 to 307 computations (31% saved)

simplify129.0ms (1.4%)

Memory
10.1MiB live, 85.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 1 (0.0ms)

IterNodesCost
030185
046185
188182
2201182
3614182
41946182
53883182
65299182
76862182
87370182
97637182
107934182
08023182
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.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 y (/.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
#s(approx (/ (* y (/ x (+ (* 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 x #s(approx (/ y (+ (* z z) z)) (/.f64 y z))) z)
(*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y z)))
x
#s(approx (/ y (+ (* z z) z)) (/.f64 y z))
(/.f64 y z)
y
z
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z))
y
(*.f64 (/.f64 (fma.f64 z z z) x) z)
(/.f64 (fma.f64 z z z) x)
(fma.f64 z z z)
z
x
Outputs
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(*.f64 y (/.f64 (/.f64 x (fma.f64 z z z)) 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 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(/.f64 (*.f64 y 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
#s(approx (/ (* y (/ x (+ (* 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 x #s(approx (/ y (+ (* z z) z)) (/.f64 y z))) z)
(*.f64 (/.f64 x z) #s(approx (/ y (+ (* z z) z)) (/.f64 y z)))
(*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y z)))
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) x)
x
#s(approx (/ y (+ (* z z) z)) (/.f64 y z))
(/.f64 y z)
y
z
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z))
(*.f64 y (/.f64 (/.f64 x (fma.f64 z z z)) z))
y
(*.f64 (/.f64 (fma.f64 z z z) x) z)
(/.f64 (fma.f64 z z z) x)
(fma.f64 z z z)
z
x

localize80.0ms (0.9%)

Memory
-8.2MiB live, 118.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 z z z)
accuracy0.140625
(*.f64 (/.f64 (fma.f64 z z z) x) z)
accuracy1.877682194263
(/.f64 (fma.f64 z z z) x)
accuracy3.874039910553265
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z))
accuracy0
(/.f64 y z)
accuracy0.3501160298129209
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y z))) z)
accuracy7.250693625672437
(*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y z)))
accuracy27.936057617097973
#s(approx (/ y (+ (* z z) z)) (/.f64 y z))
accuracy0
(/.f64 y z)
accuracy0.12109375
(/.f64 (/.f64 y z) z)
accuracy7.453676125122215
(*.f64 (/.f64 (/.f64 y z) z) x)
accuracy14.328915861174696
#s(approx (/ (* y (/ x (+ (* z z) z))) z) (*.f64 (/.f64 (/.f64 y z) z) x))
accuracy0
(*.f64 z z)
accuracy3.702711344790883
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
accuracy8.377074221957548
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
accuracy21.402006378770928
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy0
(fma.f64 z z z)
accuracy0.125
(/.f64 (/.f64 x (fma.f64 z z z)) z)
accuracy1.8807605708662853
(/.f64 x (fma.f64 z z z))
accuracy3.702711344790883
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
Samples
52.0ms256×0valid
Compiler

Compiled 356 to 56 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-div: 23.0ms (60.9% of total)
ival-mult: 12.0ms (31.8% of total)
ival-add: 2.0ms (5.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series32.0ms (0.3%)

Memory
19.9MiB live, 56.8MiB allocated
Counts
18 → 77
Calls
Call 1
Inputs
(*.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))
(fma.f64 z z z)
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
#s(approx (/ (* y (/ x (+ (* 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 x #s(approx (/ y (+ (* z z) z)) (/.f64 y z))) z)
(*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y z)))
#s(approx (/ y (+ (* z z) z)) (/.f64 y z))
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z))
(*.f64 (/.f64 (fma.f64 z z z) x) z)
(/.f64 (fma.f64 z z z) x)
Outputs
(/ (* x y) (* z (+ z (pow z 2))))
(/ x (* z (+ z (pow z 2))))
(/ x (+ z (pow z 2)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ x (* (pow z 2) (+ 1 z)))
(/ (* x y) (pow z 2))
(/ (* x y) (+ z (pow z 2)))
(/ (* z (+ z (pow z 2))) x)
(/ (+ z (pow z 2)) x)
(/ y (pow z 2))
(/ y z)
(/ y (+ z (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))
(/ x z)
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* z (- (* x z) x))) z)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) z)
z
(* z (+ 1 z))
(pow z 2)
(* (pow z 2) (+ 1 z))
(/ (* 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)
(/ (+ y (* -1 (* y z))) z)
(/ (+ y (* z (- (* y z) y))) z)
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z)
(/ (pow z 2) x)
(* (pow z 2) (+ (/ 1 x) (/ z x)))
(/ z x)
(* z (+ (/ 1 x) (/ z x)))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ 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))
(* (pow z 2) (+ 1 (/ 1 z)))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(/ (+ (* -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))
(/ (pow z 3) x)
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z))))
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(* -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))
(* -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) (* -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
6.0ms
x
@-inf
((* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (+ (* z z) z) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* y (/ x (+ (* z z) z))) z) (* (/ (/ y z) z) x) (/ (/ y z) z) (/ y z) (/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)) (/ y (* (/ (+ (* z z) z) x) z)) (* (/ (+ (* z z) z) x) z) (/ (+ (* z z) z) x))
6.0ms
x
@0
((* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (+ (* z z) z) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* y (/ x (+ (* z z) z))) z) (* (/ (/ y z) z) x) (/ (/ y z) z) (/ y z) (/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)) (/ y (* (/ (+ (* z z) z) x) z)) (* (/ (+ (* z z) z) x) z) (/ (+ (* z z) z) x))
4.0ms
y
@-inf
((* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (+ (* z z) z) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* y (/ x (+ (* z z) z))) z) (* (/ (/ y z) z) x) (/ (/ y z) z) (/ y z) (/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)) (/ y (* (/ (+ (* z z) z) x) z)) (* (/ (+ (* z z) z) x) z) (/ (+ (* z z) z) x))
3.0ms
x
@inf
((* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (+ (* z z) z) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* y (/ x (+ (* z z) z))) z) (* (/ (/ y z) z) x) (/ (/ y z) z) (/ y z) (/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)) (/ y (* (/ (+ (* z z) z) x) z)) (* (/ (+ (* z z) z) x) z) (/ (+ (* z z) z) x))
3.0ms
y
@inf
((* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (+ (* z z) z) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* y (/ x (+ (* z z) z))) z) (* (/ (/ y z) z) x) (/ (/ y z) z) (/ y z) (/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)) (/ y (* (/ (+ (* z z) z) x) z)) (* (/ (+ (* z z) z) x) z) (/ (+ (* z z) z) x))

simplify164.0ms (1.8%)

Memory
9.6MiB live, 239.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02211021
1806890
22591829
08353799
Stop Event
1×iter limit
1×node limit
Counts
77 → 76
Calls
Call 1
Inputs
(/ (* x y) (* z (+ z (pow z 2))))
(/ x (* z (+ z (pow z 2))))
(/ x (+ z (pow z 2)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ x (* (pow z 2) (+ 1 z)))
(/ (* x y) (pow z 2))
(/ (* x y) (+ z (pow z 2)))
(/ (* z (+ z (pow z 2))) x)
(/ (+ z (pow z 2)) x)
(/ y (pow z 2))
(/ y z)
(/ y (+ z (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))
(/ x z)
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* z (- (* x z) x))) z)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) z)
z
(* z (+ 1 z))
(pow z 2)
(* (pow z 2) (+ 1 z))
(/ (* 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)
(/ (+ y (* -1 (* y z))) z)
(/ (+ y (* z (- (* y z) y))) z)
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z)
(/ (pow z 2) x)
(* (pow z 2) (+ (/ 1 x) (/ z x)))
(/ z x)
(* z (+ (/ 1 x) (/ z x)))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ 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))
(* (pow z 2) (+ 1 (/ 1 z)))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(/ (+ (* -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))
(/ (pow z 3) x)
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z))))
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(* -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))
(* -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) (* -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 (/.f64 y (fma.f64 z z z)) z) 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) (* (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 x z) (/.f64 y z))
(/ (* x y) (+ z (pow z 2)))
(*.f64 y (/.f64 x (fma.f64 z z z)))
(/ (* z (+ z (pow z 2))) x)
(*.f64 (/.f64 (fma.f64 z z z) x) z)
(/ (+ z (pow z 2)) x)
(/.f64 (fma.f64 z z z) x)
(/ y (pow z 2))
(/.f64 y (*.f64 z z))
(/ y z)
(/.f64 y z)
(/ y (+ z (pow z 2)))
(/.f64 y (fma.f64 z z 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 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 (fma.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 y z) y) z y)) (neg.f64 z) (*.f64 y x)) (*.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 (-.f64 x (*.f64 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 (-.f64 x (*.f64 z x)) z (neg.f64 x)) z x) 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 y) z)
(*.f64 (/.f64 x z) y)
(/ (+ (* -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 (*.f64 x (fma.f64 (-.f64 (*.f64 y z) y) z y)) (neg.f64 z) (*.f64 y x)) z)
(/ (+ y (* -1 (* y z))) z)
(-.f64 (/.f64 y z) y)
(/ (+ y (* z (- (* y z) y))) z)
(fma.f64 (-.f64 (*.f64 y z) y) #s(literal 1 binary64) (/.f64 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)
(/ (pow z 2) x)
(*.f64 (/.f64 z x) z)
(* (pow z 2) (+ (/ 1 x) (/ z x)))
(*.f64 (/.f64 (fma.f64 z z z) x) z)
(/ z x)
(/.f64 z x)
(* z (+ (/ 1 x) (/ z x)))
(/.f64 (fma.f64 z z z) x)
(/ (* x y) (pow z 3))
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x)
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/.f64 (*.f64 x (-.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 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 x (/.f64 (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y) z) (*.f64 y x)) (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)))
(/ (+ 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)
(* (pow z 2) (+ 1 (/ 1 z)))
(fma.f64 z z z)
(pow z 3)
(pow.f64 z #s(literal 3 binary64))
(* (pow z 3) (+ 1 (/ 1 z)))
(*.f64 (fma.f64 z z z) z)
(/ (+ (* -1 (/ (* 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 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (*.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 x (/.f64 (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y) z) (*.f64 y x)) (*.f64 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 3) x)
(/.f64 (pow.f64 z #s(literal 3 binary64)) x)
(* (pow z 3) (+ (/ 1 x) (/ 1 (* x z))))
(*.f64 (/.f64 (fma.f64 z z z) x) z)
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(/.f64 (fma.f64 z z z) x)
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(/.f64 (*.f64 x (-.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 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 x (/.f64 (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y) z) (*.f64 y x)) (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)))
(/ (+ 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)
(* -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 x (/.f64 (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y) z) (*.f64 y x)) (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 y (/.f64 (-.f64 y (/.f64 y z)) z))) (*.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 x (/.f64 (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y) z) (*.f64 y x)) (*.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)

rewrite151.0ms (1.6%)

Memory
-5.3MiB live, 148.9MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030163
046163
1164160
21006160
09225160
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 1 265
Calls
Call 1
Inputs
(*.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))
(fma.f64 z z z)
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
#s(approx (/ (* y (/ x (+ (* 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 x #s(approx (/ y (+ (* z z) z)) (/.f64 y z))) z)
(*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y z)))
#s(approx (/ y (+ (* z z) z)) (/.f64 y z))
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z))
(*.f64 (/.f64 (fma.f64 z z z) x) z)
(/.f64 (fma.f64 z z z) x)
Outputs
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 4 binary64))))) (fma.f64 z z z))
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 y x) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) z))) (/.f64 x z))
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y x)) (pow.f64 (fma.f64 z z z) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y (fma.f64 z z z))) (neg.f64 x))
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y (fma.f64 z z z))) x)
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (fma.f64 z z z) z))) x)
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (fma.f64 z z z) x) z) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 (/.f64 (fma.f64 z z z) x) z) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 (fma.f64 z z z) z))
(*.f64 (/.f64 (/.f64 (*.f64 y 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 #s(literal 1 binary64) z)) #s(literal -1 binary64)) (/.f64 (/.f64 x z) z))
(*.f64 (/.f64 (*.f64 y x) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 z z z) z) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) #s(literal -1 binary64)) (/.f64 x z))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) x)) (/.f64 y (fma.f64 z z z)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 z x)) (/.f64 y (fma.f64 z z z)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) x)) (/.f64 y (fma.f64 z z z)))
(*.f64 (/.f64 y (/.f64 (neg.f64 z) x)) (pow.f64 (fma.f64 z z z) #s(literal -1 binary64)))
(*.f64 (/.f64 y (/.f64 z x)) (pow.f64 (fma.f64 z z z) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)) (/.f64 (/.f64 #s(literal -1 binary64) z) (fma.f64 z z z)))
(*.f64 (/.f64 (neg.f64 y) (pow.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (fma.f64 z z z)))
(*.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 z x)))
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(+.f64 (/.f64 (neg.f64 z) x) (/.f64 (*.f64 (neg.f64 z) z) x))
(+.f64 (/.f64 (neg.f64 z) x) (neg.f64 (/.f64 (*.f64 z z) x)))
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(+.f64 (/.f64 z x) (/.f64 (*.f64 z z) x))
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eval233.0ms (2.5%)

Memory
-19.3MiB live, 263.5MiB allocated
Compiler

Compiled 25 266 to 4 365 computations (82.7% saved)

prune53.0ms (0.6%)

Memory
16.3MiB live, 92.3MiB allocated
Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New1 36541 369
Fresh369
Picked415
Done033
Total1 372141 386
Accuracy
100.0%
Counts
1 386 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.8%
(/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 (/.f64 x z) z))) z)
▶78.0%
(/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z)
✓83.0%
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
✓94.5%
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
▶59.9%
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) z)
✓71.3%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
42.8%
(/.f64 y (*.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 z x)) z))
81.5%
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
47.6%
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (-.f64 z #s(literal 1 binary64))))
▶81.5%
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
82.5%
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
▶69.3%
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
▶93.9%
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
✓74.5%
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
Compiler

Compiled 322 to 226 computations (29.8% saved)

simplify114.0ms (1.2%)

Memory
-4.6MiB live, 78.0MiB 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 x z)
cost-diff0
#s(approx (/ x (+ (* z z) z)) (/.f64 x z))
cost-diff0
(*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))
cost-diff0
(/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z)
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 z z)
cost-diff0
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
cost-diff0
(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
cost-diff0
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
cost-diff0
(fma.f64 z z z)
cost-diff0
(/.f64 x (fma.f64 z z z))
cost-diff0
(/.f64 y z)
cost-diff0
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028208
044208
178205
2173205
3402205
41172205
52678205
63814205
75907205
86916205
08015205
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
(/.f64 y z)
y
z
(/.f64 x (fma.f64 z z z))
x
(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)))
y
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
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
(/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z)
(*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))
y
#s(approx (/ x (+ (* z z) z)) (/.f64 x z))
(/.f64 x z)
x
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)))
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 y z) (/.f64 x (fma.f64 z z z)))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/.f64 y z)
y
z
(/.f64 x (fma.f64 z z z))
x
(fma.f64 z z z)
(*.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)))
(/.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 #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
(/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z)
(*.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) (/.f64 y z))
(*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))
(*.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) y)
y
#s(approx (/ x (+ (* z z) z)) (/.f64 x z))
(/.f64 x z)
x
z
(/.f64 (*.f64 x #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 #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

localize65.0ms (0.7%)

Memory
5.9MiB live, 118.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.12109375
(/.f64 (/.f64 y z) z)
accuracy0.3501160298129209
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) z)
accuracy7.250693625672437
(*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)))
accuracy27.71724189119847
#s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))
accuracy0
(/.f64 x z)
accuracy0.3501160298129209
(/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z)
accuracy3.8455393565712366
(*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))
accuracy18.12043468299174
#s(approx (/ x (+ (* z z) z)) (/.f64 x z))
accuracy0
(/.f64 x z)
accuracy0.125
(/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z)
accuracy3.702711344790883
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
accuracy18.12043468299174
#s(approx (/ x (+ (* z z) z)) (/.f64 x z))
accuracy0
(*.f64 z z)
accuracy4.121345291492729
(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
accuracy8.57405509393674
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
accuracy21.402006378770928
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy0
(fma.f64 z z z)
accuracy0
(/.f64 y z)
accuracy1.8807605708662853
(/.f64 x (fma.f64 z z z))
accuracy2.192812477054421
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
Samples
51.0ms256×0valid
Compiler

Compiled 385 to 52 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-div: 22.0ms (63.6% of total)
ival-mult: 10.0ms (28.9% of total)
ival-add: 2.0ms (5.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series31.0ms (0.3%)

Memory
9.5MiB live, 56.4MiB allocated
Counts
18 → 76
Calls
Call 1
Inputs
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
(/.f64 y z)
(/.f64 x (fma.f64 z z z))
(fma.f64 z z z)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
(*.f64 (/.f64 #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)
(/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z)
(*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x 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 (pow z 2)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ x (* z (+ z (pow z 2))))
(/ x z)
(/ (* x y) (+ z (pow z 2)))
(/ y z)
(/ y (* (pow z 2) (+ 1 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 (* -1 (* x z))) z)
(/ (+ x (* z (- (* x z) x))) z)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) z)
z
(* z (+ 1 z))
(/ (+ y (* -1 (* y z))) (pow z 2))
(/ (+ y (* z (- (* y z) y))) (pow z 2))
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 z))
(/ x (pow z 2))
(/ (+ x (* -1 (* x z))) (pow z 2))
(/ (+ x (* z (- (* x z) x))) (pow z 2))
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2))
(/ (* 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)
(/ (+ 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 (* -1 (/ x z))) (pow z 2))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 2))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 2))
(* (pow z 2) (+ 1 (/ 1 z)))
(/ y (pow z 3))
(/ (+ y (* -1 (/ y z))) (pow z 3))
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 3))
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 3))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(/ x (pow z 3))
(/ (+ x (* -1 (/ x z))) (pow z 3))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3))
(/ (+ (* -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)))
(/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 2))
(/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 2))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 y) (/ y z)) (pow z 3)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ y z) y) z))) (pow z 3)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ y z) y) z)) y) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -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) 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
11.0ms
y
@0
((* (/ y z) (/ x (+ (* z z) z))) (/ y z) (/ x (+ (* z z) z)) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (/ x z) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)) (/ (/ y z) z))
3.0ms
y
@-inf
((* (/ y z) (/ x (+ (* z z) z))) (/ y z) (/ x (+ (* z z) z)) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (/ x z) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)) (/ (/ y z) z))
3.0ms
y
@inf
((* (/ y z) (/ x (+ (* z z) z))) (/ y z) (/ x (+ (* z z) z)) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (/ x z) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)) (/ (/ y z) z))
3.0ms
x
@-inf
((* (/ y z) (/ x (+ (* z z) z))) (/ y z) (/ x (+ (* z z) z)) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (/ x z) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)) (/ (/ y z) z))
2.0ms
x
@inf
((* (/ y z) (/ x (+ (* z z) z))) (/ y z) (/ x (+ (* z z) z)) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (/ x z) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)) (/ (/ y z) z))

simplify151.0ms (1.6%)

Memory
-29.5MiB live, 210.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02171065
1793921
22781862
08272836
Stop Event
1×iter limit
1×node limit
Counts
76 → 75
Calls
Call 1
Inputs
(/ (* x y) (* z (+ z (pow z 2))))
(/ x (+ z (pow z 2)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ x (* z (+ z (pow z 2))))
(/ x z)
(/ (* x y) (+ z (pow z 2)))
(/ y z)
(/ y (* (pow z 2) (+ 1 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 (* -1 (* x z))) z)
(/ (+ x (* z (- (* x z) x))) z)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) z)
z
(* z (+ 1 z))
(/ (+ y (* -1 (* y z))) (pow z 2))
(/ (+ y (* z (- (* y z) y))) (pow z 2))
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 z))
(/ x (pow z 2))
(/ (+ x (* -1 (* x z))) (pow z 2))
(/ (+ x (* z (- (* x z) x))) (pow z 2))
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2))
(/ (* 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)
(/ (+ 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 (* -1 (/ x z))) (pow z 2))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 2))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 2))
(* (pow z 2) (+ 1 (/ 1 z)))
(/ y (pow z 3))
(/ (+ y (* -1 (/ y z))) (pow z 3))
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 3))
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 3))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(/ x (pow z 3))
(/ (+ x (* -1 (/ x z))) (pow z 3))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3))
(/ (+ (* -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)))
(/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 2))
(/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 2))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 y) (/ y z)) (pow z 3)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ y z) y) z))) (pow z 3)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ y z) y) z)) y) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -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) 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 (/.f64 y (fma.f64 z z z)) z) x)
(/ x (+ z (pow z 2)))
(/.f64 x (fma.f64 z z z))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/ x (* z (+ z (pow z 2))))
(/.f64 (/.f64 x (fma.f64 z z z)) z)
(/ x z)
(/.f64 x z)
(/ (* x y) (+ z (pow z 2)))
(*.f64 y (/.f64 x (fma.f64 z z z)))
(/ y z)
(/.f64 y z)
(/ y (* (pow z 2) (+ 1 z)))
(/.f64 (/.f64 y (fma.f64 z z z)) 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 (/.f64 (*.f64 (-.f64 y (*.f64 z y)) x) z) z)
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) (*.f64 z z))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (fma.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) (neg.f64 z) (*.f64 x y)) (*.f64 z z))
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(/ (+ x (* z (- (* x z) x))) z)
(fma.f64 (-.f64 (*.f64 x z) x) #s(literal 1 binary64) (/.f64 x z))
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) z)
(/.f64 (fma.f64 (fma.f64 (-.f64 x (*.f64 x z)) z (neg.f64 x)) z x) 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 (-.f64 y (*.f64 z y)) z (neg.f64 y)) z y) z) z)
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
(/ x (pow z 2))
(/.f64 (/.f64 x z) z)
(/ (+ x (* -1 (* x z))) (pow z 2))
(/.f64 (-.f64 (/.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 (-.f64 x (*.f64 x z)) z (neg.f64 x)) z x) z) z)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ (+ (* -1 (* x (* y z))) (* x y)) z)
(/.f64 (*.f64 (-.f64 y (*.f64 z y)) x) z)
(/ (+ (* 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 (fma.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) (neg.f64 z) (*.f64 x y)) z)
(/ (+ y (* -1 (* y z))) z)
(-.f64 (/.f64 y z) y)
(/ (+ y (* z (- (* y z) y))) z)
(fma.f64 (-.f64 (*.f64 z y) y) #s(literal 1 binary64) (/.f64 y z))
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z)
(/.f64 (fma.f64 (fma.f64 (-.f64 y (*.f64 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 (*.f64 x (-.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 x (/.f64 (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y) z) (*.f64 x y)) (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 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) z) z)
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 2))
(/.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) 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)))
(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)))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2))
(/.f64 (*.f64 y (/.f64 (-.f64 x (/.f64 x z)) z)) z)
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 2))
(/.f64 (/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) 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 x (/.f64 (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y) z) (*.f64 x y)) (*.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 (-.f64 y (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y) z)) z) z)
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(/.f64 (*.f64 x (-.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 x (/.f64 (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y) z) (*.f64 x y)) (pow.f64 z #s(literal 3 binary64)))
(/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 2))
(/.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) z) z)
(/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 2))
(/.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) z)) z) z)
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(/.f64 (fma.f64 x (/.f64 (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y) z) (*.f64 x y)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 y) (/ y z)) (pow z 3)))
(/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ y z) y) z))) (pow z 3)))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ y z) y) z)) y) z))) (pow z 3)))
(/.f64 (-.f64 y (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) y) 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 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)))
(/ (+ (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2))
(/.f64 (/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) z) z)
(/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2))
(/.f64 (fma.f64 x (/.f64 (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y) z) (*.f64 x y)) (*.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 (-.f64 y (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y) z)) z) z)

rewrite173.0ms (1.9%)

Memory
11.5MiB live, 130.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028177
044177
1151174
2910174
09020174
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 808
Calls
Call 1
Inputs
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
(/.f64 y z)
(/.f64 x (fma.f64 z z z))
(fma.f64 z z z)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
(*.f64 (/.f64 #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)
(/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z)
(*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x 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 y (fma.f64 z z z)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (*.f64 (/.f64 y (fma.f64 z z z)) #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (/.f64 x z) y) #s(literal 1 binary64)) (pow.f64 (fma.f64 z z z) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z (pow.f64 z #s(literal 4 binary64))))) (fma.f64 z z z))
(*.f64 (*.f64 (/.f64 y z) (/.f64 x (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (/.f64 y (fma.f64 z z z)) z))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) #s(literal -1 binary64)) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 (/.f64 y z) (-.f64 z #s(literal 1 binary64))) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 (/.f64 y z) #s(literal -1 binary64)) (/.f64 x (fma.f64 z z z)))
(*.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) z)) (/.f64 (neg.f64 y) (*.f64 z z)))
(*.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (neg.f64 y) z) z))
(*.f64 (/.f64 (neg.f64 x) (*.f64 z z)) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (*.f64 x y) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 z z z) #s(literal -1 binary64)) z))
(*.f64 (/.f64 (/.f64 y z) (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 y z) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (/.f64 x (pow.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) z) (/.f64 (fma.f64 z z z) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 x (-.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))) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 z z z) #s(literal -1 binary64)) z) (/.f64 x (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (fma.f64 z z z)) (/.f64 y (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 z x)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (/.f64 x (fma.f64 z z z)) z))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (/.f64 x (fma.f64 z z z)) z))
(*.f64 (*.f64 (/.f64 y z) (pow.f64 (fma.f64 z z z) #s(literal -1 binary64))) x)
(*.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) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(*.f64 (/.f64 x (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) (*.f64 (fma.f64 z z z) (/.f64 y z)))
(*.f64 (/.f64 x (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) (/.f64 (/.f64 y z) (pow.f64 (fma.f64 z z z) #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (/.f64 (/.f64 y z) (pow.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.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 y (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) (/.f64 (/.f64 x z) (pow.f64 (fma.f64 z z z) #s(literal -1 binary64))))
(*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (/.f64 (/.f64 x z) (pow.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z z))
(*.f64 (/.f64 (*.f64 (/.f64 x z) y) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 (/.f64 y z) (/.f64 z x)))
(*.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 y (-.f64 #s(literal 1 binary64) z)) (/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 z x)))
(*.f64 (/.f64 (*.f64 (/.f64 x z) y) (-.f64 #s(literal 1 binary64) z)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (pow.f64 (fma.f64 z z z) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z)))
(*.f64 (*.f64 (/.f64 (neg.f64 y) z) x) (pow.f64 (fma.f64 z z z) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (pow.f64 (*.f64 (fma.f64 z z z) z) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 x) y) (pow.f64 (*.f64 (fma.f64 z z z) z) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) (/.f64 #s(literal -1 binary64) z))
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(*.f64 (/.f64 y z) #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))
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(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z)))
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(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (neg.f64 y) #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z y) #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) #s(approx (/ x (+ (* z z) z)) (/.f64 x z))))
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(*.f64 (neg.f64 y) (neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z))))
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(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)))) (/.f64 #s(literal -1 binary64) z))
(*.f64 (*.f64 #s(literal 1 binary64) #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)) #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (pow.f64 (/.f64 (/.f64 z x) #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z x) #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) #s(literal -1 binary64)) (/.f64 x z))
(*.f64 (/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.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))
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(*.f64 (/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) z) x)
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(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x))
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(*.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) (/.f64 x z)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) (pow.f64 z #s(literal -1 binary64)))
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) (/.f64 x 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) #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)))
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(*.f64 x (/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) z))
(pow.f64 (/.f64 (/.f64 z x) #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 x) #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) #s(literal 1 binary64)) (neg.f64 z))
(/.f64 (*.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)))) (neg.f64 z))
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) #s(literal -1 binary64)) (/.f64 (neg.f64 z) x))
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) #s(literal 1 binary64)) (/.f64 z x))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) x) #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))))
(/.f64 (*.f64 (neg.f64 x) #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) (neg.f64 z))
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) (/.f64 x z)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) z)
(/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) (/.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))))
(/.f64 x (/.f64 z #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 z x) #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)))))
(neg.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) (/.f64 (neg.f64 x) z)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) z)))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (*.f64 (neg.f64 x) #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) z))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (neg.f64 x) #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) z))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z x) #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)))) #s(literal -1 binary64)))
(*.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 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))))
(*.f64 (neg.f64 x) (neg.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))))
(*.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) #s(literal 1 binary64))
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x)
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x))
(*.f64 x (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) #s(literal 1 binary64)))
(*.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))))
(-.f64 #s(literal 0 binary64) (*.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 (pow.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 y z))
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) z) z))
(*.f64 (/.f64 y #s(literal 1 binary64)) (pow.f64 z #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (pow.f64 z #s(literal -2 binary64)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) z) z))
(*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal -2 binary64)) y)
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 y) z) z))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y z))
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) z))
(*.f64 (neg.f64 y) (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 z #s(literal -1 binary64))))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z)))
(*.f64 (/.f64 (/.f64 y z) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) z))
(*.f64 (/.f64 y z) (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 y z) (pow.f64 z #s(literal -1 binary64)))
(*.f64 y (pow.f64 z #s(literal -2 binary64)))
(pow.f64 (/.f64 (*.f64 z z) y) #s(literal -1 binary64))
(/.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 z) y))
(/.f64 (*.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)) (neg.f64 z))
(/.f64 (*.f64 (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 z z))
(/.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 z) z))
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 z) y))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 z) y) z))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 z y))
(/.f64 (/.f64 (neg.f64 y) z) (neg.f64 z))
(/.f64 (neg.f64 y) (*.f64 (neg.f64 z) z))
(/.f64 (/.f64 (/.f64 y z) z) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) y))
(/.f64 (/.f64 y z) z)
(/.f64 y (*.f64 z z))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 z z) y)))
(neg.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 y) z)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 y) z) z)))
(neg.f64 (/.f64 (neg.f64 y) (*.f64 z z)))
(neg.f64 (/.f64 y (*.f64 (neg.f64 z) z)))
(neg.f64 (/.f64 (/.f64 (neg.f64 y) z) z))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z)) (/.f64 y (*.f64 (neg.f64 z) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (/.f64 (neg.f64 y) z) z))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 y) z) z))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 z z) y)) #s(literal -1 binary64)))

eval486.0ms (5.2%)

Memory
8.3MiB live, 123.6MiB allocated
Compiler

Compiled 16 257 to 2 449 computations (84.9% saved)

prune222.0ms (2.4%)

Memory
20.6MiB live, 58.5MiB allocated
Pruning

14 alts after pruning (6 fresh and 8 done)

PrunedKeptTotal
New8662868
Fresh145
Picked145
Done044
Total86814882
Accuracy
100.0%
Counts
882 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.8%
(/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 (/.f64 x z) z))) z)
✓78.0%
(/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z)
✓83.0%
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
✓94.5%
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
57.2%
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y (*.f64 z z)))) z)
✓71.3%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
42.8%
(/.f64 y (*.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 z x)) z))
81.5%
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
✓81.5%
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
82.5%
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
✓69.3%
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
✓93.9%
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
59.5%
(*.f64 (/.f64 x z) #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)))
✓74.5%
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
Compiler

Compiled 579 to 230 computations (60.3% saved)

regimes143.0ms (1.5%)

Memory
-28.2MiB live, 92.1MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.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 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (* y (/ x (+ (* z z) z))) z) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
(/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x))
(/.f64 #s(approx (* y (/ x (+ (* z z) z))) (/.f64 (*.f64 x y) z)) z)
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y z))) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z)
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y (*.f64 z z)))) z)
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x)))
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z))
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
(/.f64 y (*.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 z x)) 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 y #s(approx (/ x (+ (* z z) z)) (/.f64 (/.f64 x z) z))) z)
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (-.f64 z #s(literal 1 binary64))))
(/.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 z x)))
Outputs
(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) z)
Calls

6 calls:

27.0ms
z
12.0ms
x
8.0ms
y
8.0ms
(*.f64 x y)
7.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
95.6%1x
95.6%1y
98.9%2z
95.6%1(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
95.6%1(*.f64 x y)
98.9%2(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes16.0ms (0.2%)

Memory
-2.4MiB live, 35.9MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.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 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (* y (/ x (+ (* z z) z))) z) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
(/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x))
(/.f64 #s(approx (* y (/ x (+ (* z z) z))) (/.f64 (*.f64 x y) z)) z)
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y z))) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z)
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y (*.f64 z z)))) z)
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x)))
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z))
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
(/.f64 y (*.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 z x)) z))
(*.f64 (/.f64 x z) #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)))
Outputs
(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)
(*.f64 (/.f64 x z) #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)))
Calls

2 calls:

9.0ms
z
6.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
98.6%2z
98.6%2(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes43.0ms (0.5%)

Memory
18.0MiB live, 94.7MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.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 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (* y (/ x (+ (* z z) z))) z) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
(/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x))
(/.f64 #s(approx (* y (/ x (+ (* z z) z))) (/.f64 (*.f64 x y) z)) z)
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y z))) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z)
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y (*.f64 z z)))) z)
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x)))
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z))
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
(/.f64 y (*.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 z x)) z))
Outputs
(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)
Calls

6 calls:

8.0ms
z
8.0ms
y
7.0ms
x
7.0ms
(*.f64 x y)
6.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
95.6%1x
95.6%1y
95.6%1(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
95.6%1(*.f64 x y)
95.6%1z
95.6%1(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes83.0ms (0.9%)

Memory
-33.1MiB live, 100.3MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.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 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (* y (/ x (+ (* z z) z))) z) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
(/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x))
(/.f64 #s(approx (* y (/ x (+ (* z z) z))) (/.f64 (*.f64 x y) z)) z)
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y z))) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z)
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y (*.f64 z z)))) z)
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x)))
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z))
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
Outputs
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
Calls

6 calls:

32.0ms
(*.f64 x y)
8.0ms
z
6.0ms
y
6.0ms
x
5.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
94.5%1x
94.5%1y
96.3%2z
94.5%1(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
94.5%1(*.f64 x y)
94.5%1(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes61.0ms (0.7%)

Memory
1.5MiB live, 80.5MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.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 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (* y (/ x (+ (* z z) z))) z) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
(/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x))
(/.f64 #s(approx (* y (/ x (+ (* z z) z))) (/.f64 (*.f64 x y) z)) z)
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y z))) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z)
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y (*.f64 z z)))) z)
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 y (*.f64 z (/.f64 (fma.f64 z z z) x)))
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z))
Outputs
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
Calls

6 calls:

29.0ms
x
9.0ms
y
6.0ms
z
6.0ms
(*.f64 x y)
5.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
94.2%1y
95.8%2(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
94.2%1x
94.2%1(*.f64 x y)
96.0%2(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
96.0%2z
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes11.0ms (0.1%)

Memory
20.5MiB live, 20.5MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.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 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (* y (/ x (+ (* z z) z))) z) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
(/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x))
(/.f64 #s(approx (* y (/ x (+ (* z z) z))) (/.f64 (*.f64 x y) z)) z)
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y z))) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z)
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y (*.f64 z z)))) z)
(*.f64 (/.f64 y z) (/.f64 x (fma.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)
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y (*.f64 z z)))) z)
Calls

2 calls:

5.0ms
z
5.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
96.0%2z
96.0%2(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes34.0ms (0.4%)

Memory
-15.6MiB live, 59.3MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.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 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (* y (/ x (+ (* z z) z))) z) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
(/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x))
(/.f64 #s(approx (* y (/ x (+ (* z z) z))) (/.f64 (*.f64 x y) z)) z)
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y z))) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z)
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y (*.f64 z z)))) z)
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
Outputs
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
Calls

6 calls:

8.0ms
z
7.0ms
x
5.0ms
y
5.0ms
(*.f64 x y)
4.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
93.9%1x
93.9%1y
93.9%1(*.f64 x y)
93.9%1(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
93.9%1z
93.9%1(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes50.0ms (0.5%)

Memory
19.6MiB live, 57.9MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.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 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (* y (/ x (+ (* z z) z))) z) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
(/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x))
(/.f64 #s(approx (* y (/ x (+ (* z z) z))) (/.f64 (*.f64 x y) z)) z)
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y z))) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z)
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/.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)
(/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z)
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y (*.f64 z z)))) z)
Calls

6 calls:

27.0ms
y
5.0ms
x
5.0ms
z
4.0ms
(*.f64 x y)
4.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
90.2%2x
88.5%3y
95.5%3z
91.9%2(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
91.9%3(*.f64 x y)
95.5%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes9.0ms (0.1%)

Memory
15.8MiB live, 15.8MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.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 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (* y (/ x (+ (* z z) z))) z) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
(/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x))
(/.f64 #s(approx (* y (/ x (+ (* z z) z))) (/.f64 (*.f64 x y) z)) z)
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y z))) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z)
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Outputs
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z)
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
Calls

2 calls:

5.0ms
z
4.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
94.2%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
94.2%3z
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes34.0ms (0.4%)

Memory
-26.0MiB live, 17.9MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.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 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (* y (/ x (+ (* z z) z))) z) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(/.f64 y (*.f64 #s(approx (/ (+ (* z z) z) x) (/.f64 z x)) z))
(/.f64 y (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) x))
(/.f64 #s(approx (* y (/ x (+ (* z z) z))) (/.f64 (*.f64 x y) z)) z)
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y z))) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
Outputs
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
Calls

2 calls:

30.0ms
z
3.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
93.8%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
93.8%3z
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes7.0ms (0.1%)

Memory
18.6MiB live, 18.6MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.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 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (* y (/ x (+ (* z z) z))) z) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
Outputs
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
Calls

3 calls:

3.0ms
z
2.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
2.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
88.7%2(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
92.4%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
92.4%3z
Compiler

Compiled 19 to 19 computations (0% saved)

regimes16.0ms (0.2%)

Memory
-2.6MiB live, 34.5MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.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 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (* y (/ x (+ (* 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 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
Calls

6 calls:

5.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
2.0ms
z
2.0ms
x
2.0ms
y
2.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
81.1%2y
79.7%2(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
79.7%2x
81.1%2(*.f64 x y)
80.7%2(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
81.7%3z
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes13.0ms (0.1%)

Memory
-12.7MiB live, 24.9MiB allocated
Accuracy

Total -4.7b remaining (-28.7%)

Threshold costs -4.7b (-28.7%)

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

6 calls:

4.0ms
z
2.0ms
x
2.0ms
y
2.0ms
(*.f64 x y)
2.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
74.5%1x
74.5%1(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
74.5%1z
74.5%1(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
74.5%1y
74.5%1(*.f64 x y)
Compiler

Compiled 24 to 29 computations (-20.8% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
9.713087443009569e+41
2.729956585832739e+68
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.729956585832739e+68
2.6582762297930865e+72
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch13.0ms (0.1%)

Memory
22.0MiB live, 22.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
-3.009421865017606e-167
-8.568485507620004e-172
Samples
7.0ms128×0valid
Compiler

Compiled 174 to 143 computations (17.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (50.4% of total)
ival-div: 1.0ms (25.2% of total)
ival-add: 1.0ms (25.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Memory
-19.8MiB live, 14.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
14.0ms
6.45526324282958e-6
2.205294038172375e-5
Samples
4.0ms80×0valid
Compiler

Compiled 114 to 95 computations (16.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 1.0ms (41.9% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
9.713087443009569e+41
2.729956585832739e+68
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch38.0ms (0.4%)

Memory
9.0MiB live, 55.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
2.205294038172375e-5
119379.4392794354
13.0ms
-27.943165945008598
-1.3154204710567448e-6
Samples
16.0ms304×0valid
Compiler

Compiled 622 to 452 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (65.6% of total)
ival-div: 2.0ms (21.9% of total)
ival-add: 1.0ms (10.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch25.0ms (0.3%)

Memory
-2.6MiB live, 33.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
20.0ms
2.708835069111827e-122
3.3829323195197726e-117
3.0ms
-4.054648873992037e-30
-1.009856747070209e-41
Samples
16.0ms176×0valid
Compiler

Compiled 289 to 224 computations (22.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (54.4% of total)
ival-div: 1.0ms (18.1% of total)
ival-add: 1.0ms (18.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
5.7MiB live, 5.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
1.0ms
2.708835069111827e-122
3.3829323195197726e-117
2.0ms
-2.1016534310058494e-44
-9.750560596820086e-52
Samples
1.0ms16×0valid
Compiler

Compiled 264 to 205 computations (22.3% saved)

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

bsearch18.0ms (0.2%)

Memory
-11.1MiB live, 25.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.708835069111827e-122
3.3829323195197726e-117
15.0ms
-1.0142190844175145e-55
-2.7137686616724763e-60
Samples
11.0ms128×0valid
Compiler

Compiled 507 to 389 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (51.7% of total)
ival-mult: 2.0ms (25.9% of total)
ival-add: 1.0ms (12.9% 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
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.581332332227637e-30
2.2651464903621303e-28
Compiler

Compiled 14 to 15 computations (-7.1% saved)

simplify30.0ms (0.3%)

Memory
30.1MiB live, 67.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088424
1108424
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 1000000000000000044885712678075916785549312 binary64)) (/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z) (/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) z))
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 500000000000000036265718190764617563079187204823260977759105077739520 binary64)) (/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z) (*.f64 (/.f64 x z) #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))))
(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)
(if (<=.f64 z #s(literal -7396840143163425/4351082437154956072465106588077822995084026820419845514849846380137705962380101572519219218556758308199541387151331336317719177934050977705242787666055883587123865770683541250307916824576 binary64)) (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) (/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z))
(if (<=.f64 z #s(literal 8854437155380585/1180591620717411303424 binary64)) (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))))
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 1000000000000000044885712678075916785549312 binary64)) (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) (/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y (*.f64 z z)))) z))
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
(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 1 binary64)) (/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z) (/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y (*.f64 z z)))) z)))
(if (<=.f64 z #s(literal -178405961588245/44601490397061246283071436545296723011960832 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (if (<=.f64 z #s(literal 4684702715186529/1419606883389857208104148062281258856159455782592418086487285545274686109596480318996466895925319463985864300012238628776434768805888 binary64)) (/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)))
(if (<=.f64 z #s(literal -8034690221294951/401734511064747568885490523085290650630550748445698208825344 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (if (<=.f64 z #s(literal 4684702715186529/1419606883389857208104148062281258856159455782592418086487285545274686109596480318996466895925319463985864300012238628776434768805888 binary64)) (*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)))
(if (<=.f64 z #s(literal -5963108843627047/220855883097298041197912187592864814478435487109452369765200775161577472 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (if (<=.f64 z #s(literal 4684702715186529/1419606883389857208104148062281258856159455782592418086487285545274686109596480318996466895925319463985864300012238628776434768805888 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)))
(if (<=.f64 (*.f64 x y) #s(literal 7136238463529799/1427247692705959881058285969449495136382746624 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))))
(*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
Outputs
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 1000000000000000044885712678075916785549312 binary64)) (/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z) (/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) z))
(if (<=.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z)) #s(literal 1000000000000000044885712678075916785549312 binary64)) (/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z) (/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) z))
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 500000000000000036265718190764617563079187204823260977759105077739520 binary64)) (/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z) (*.f64 (/.f64 x z) #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))))
(if (<=.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z)) #s(literal 500000000000000036265718190764617563079187204823260977759105077739520 binary64)) (/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z) (*.f64 (/.f64 x z) #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))))
(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)
(/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z)
(if (<=.f64 z #s(literal -7396840143163425/4351082437154956072465106588077822995084026820419845514849846380137705962380101572519219218556758308199541387151331336317719177934050977705242787666055883587123865770683541250307916824576 binary64)) (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) (/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z))
(if (<=.f64 z #s(literal -7396840143163425/4351082437154956072465106588077822995084026820419845514849846380137705962380101572519219218556758308199541387151331336317719177934050977705242787666055883587123865770683541250307916824576 binary64)) (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) (/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z))
(if (<=.f64 z #s(literal 8854437155380585/1180591620717411303424 binary64)) (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) (/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y))))
(if (<=.f64 z #s(literal 8854437155380585/1180591620717411303424 binary64)) (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) (/.f64 x (*.f64 (/.f64 (fma.f64 z z z) y) z)))
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 1000000000000000044885712678075916785549312 binary64)) (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) (/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y (*.f64 z z)))) z))
(if (<=.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z)) #s(literal 1000000000000000044885712678075916785549312 binary64)) (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) (/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y (*.f64 z z))) x) z))
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
(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 1 binary64)) (/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z) (/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y (*.f64 z z)))) z)))
(if (<=.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y (*.f64 z z))) x) z) (if (<=.f64 z #s(literal 1 binary64)) (/.f64 (*.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) y) z) (/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y (*.f64 z z))) x) z)))
(if (<=.f64 z #s(literal -178405961588245/44601490397061246283071436545296723011960832 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (if (<=.f64 z #s(literal 4684702715186529/1419606883389857208104148062281258856159455782592418086487285545274686109596480318996466895925319463985864300012238628776434768805888 binary64)) (/.f64 (*.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)))
(if (<=.f64 z #s(literal -178405961588245/44601490397061246283071436545296723011960832 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (if (<=.f64 z #s(literal 4684702715186529/1419606883389857208104148062281258856159455782592418086487285545274686109596480318996466895925319463985864300012238628776434768805888 binary64)) (/.f64 (*.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) y) z) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)))
(if (<=.f64 z #s(literal -8034690221294951/401734511064747568885490523085290650630550748445698208825344 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (if (<=.f64 z #s(literal 4684702715186529/1419606883389857208104148062281258856159455782592418086487285545274686109596480318996466895925319463985864300012238628776434768805888 binary64)) (*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)))
(if (<=.f64 z #s(literal -5963108843627047/220855883097298041197912187592864814478435487109452369765200775161577472 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (if (<=.f64 z #s(literal 4684702715186529/1419606883389857208104148062281258856159455782592418086487285545274686109596480318996466895925319463985864300012238628776434768805888 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)))
(if (<=.f64 (*.f64 x y) #s(literal 7136238463529799/1427247692705959881058285969449495136382746624 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))))
(if (<=.f64 (*.f64 x y) #s(literal 7136238463529799/1427247692705959881058285969449495136382746624 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 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)

soundness2.0s (21.3%)

Memory
-46.9MiB live, 979.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0188825
1673731
22176664
08241637
063244
1231219
2881201
34941197
08139188
02211021
1806890
22591829
08353799
030163
046163
1164160
21006160
09225160
0927
01427
16127
241827
3498227
01024025
024127
040127
1156125
2899125
09042125
028177
044177
1151174
2910174
09020174
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter 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
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1 116 to 506 computations (54.7% saved)

preprocess419.0ms (4.5%)

Memory
33.1MiB live, 457.9MiB allocated
Compiler

Compiled 1 588 to 626 computations (60.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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