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

Time bar (total: 7.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze98.0ms (1.3%)

Memory
3.7MiB live, 117.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
75%74.9%25%0.1%0%0%0%10
75%74.9%25%0.1%0%0%0%11
75%74.9%25%0.1%0%0%0%12
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample884.0ms (12%)

Memory
37.5MiB live, 1 341.2MiB allocated
Samples
503.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 295.0ms
ival-mult: 183.0ms (62% of total)
ival-div: 55.0ms (18.6% of total)
ival-add: 42.0ms (14.2% of total)
ival-true: 6.0ms (2% of total)
exact: 5.0ms (1.7% of total)
ival-assert: 4.0ms (1.4% of total)
Bogosity

explain95.0ms (1.3%)

Memory
-26.1MiB live, 136.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
440-1(1.7888598739293996e+74 2.606783929174938e-126 3.613118863992492e-157)(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
00-0-#s(literal 1 binary64)
00-0-z
00-0-(*.f64 x y)
00-0-(+.f64 z #s(literal 1 binary64))
00-0-(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
00-0-(*.f64 z z)
00-0-y
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))n/u110
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))underflow68
(*.f64 z z)underflow68
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))o/o90
(*.f64 x y)overflow28
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))overflow90
(*.f64 z z)overflow72
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))u/u90
(*.f64 x y)underflow33
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))underflow68
(*.f64 z z)underflow68
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))n/o60
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))overflow90
(*.f64 z z)overflow72
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))u/n60
(*.f64 x y)underflow33
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))o/n20
(*.f64 x y)overflow28
Confusion
Predicted +Predicted -
+431
-0212
Precision
1.0
Recall
0.9772727272727273
Confusion?
Predicted +Predicted MaybePredicted -
+4301
-00212
Precision?
1.0
Recall?
0.9772727272727273
Freqs
test
numberfreq
0213
143
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
32.0ms512×0valid
Compiler

Compiled 77 to 31 computations (59.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 10.0ms (60.5% of total)
ival-div: 3.0ms (18.1% of total)
ival-add: 3.0ms (18.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess250.0ms (3.4%)

Memory
19.8MiB live, 131.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034110
1145103
2738101
3366899
4613699
5696199
6715799
7717599
8718199
9718199
10774099
11790299
12795499
13795499
0911
01411
13811
214311
359111
4136911
5248011
6291911
7305011
8305811
9305811
10342211
11373811
12373811
13373811
14389411
15389411
0389410
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Outputs
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
Symmetry

(negabs y)

(negabs x)

(sort x y)

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.3MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.9%
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify119.0ms (1.6%)

Memory
-6.5MiB live, 72.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
01431
13831
214331
359131
4136931
5248031
6291931
7305031
8305831
9305831
10342231
11373831
12373831
13373831
14389431
15389431
0389429
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 x y)
x
y
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
(*.f64 z z)
z
(+.f64 z #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
(*.f64 (fma.f64 z z z) z)
(*.f64 z z)
z
(+.f64 z #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)

localize21.0ms (0.3%)

Memory
24.1MiB live, 24.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 z z)
accuracy0.0
(*.f64 x y)
accuracy0.06640625
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
accuracy10.17328122638328
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Samples
15.0ms256×0valid
Compiler

Compiled 33 to 11 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (63.9% of total)
ival-div: 1.0ms (12.8% of total)
ival-add: 1.0ms (12.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
-25.6MiB live, 13.0MiB allocated
Counts
4 → 17
Calls
Call 1
Inputs
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 x y)
(*.f64 z z)
Outputs
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* x y)
(pow z 2)
(* (pow z 2) (+ 1 z))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((* (* z z) (+ z 1)) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* z z))
2.0ms
y
@-inf
((* (* z z) (+ z 1)) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* z z))
1.0ms
x
@0
((* (* z z) (+ z 1)) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* z z))
1.0ms
x
@-inf
((* (* z z) (+ z 1)) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* z z))
1.0ms
y
@0
((* (* z z) (+ z 1)) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* z z))

simplify447.0ms (6%)

Memory
-100.3MiB live, 188.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062236
1207215
2857193
34522183
08208179
Stop Event
iter limit
node limit
Counts
17 → 17
Calls
Call 1
Inputs
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* x y)
(pow z 2)
(* (pow z 2) (+ 1 z))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
Outputs
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z))
(* x y)
(*.f64 y x)
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 x z) (/.f64 y z))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (fma.f64 (neg.f64 z) (*.f64 x (fma.f64 (-.f64 (*.f64 y z) y) z y)) (*.f64 y x)) (*.f64 z z))
(pow z 3)
(pow.f64 z #s(literal 3 binary64))
(* (pow z 3) (+ 1 (/ 1 z)))
(*.f64 (fma.f64 z z z) z)
(/ (* x y) (pow z 3))
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x)
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/.f64 (fma.f64 y x (/.f64 (*.f64 x (-.f64 (neg.f64 y) (/.f64 (-.f64 (/.f64 y z) y) z))) z)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(/.f64 (fma.f64 y x (/.f64 (*.f64 x (-.f64 (neg.f64 y) (/.f64 (-.f64 (/.f64 y z) y) z))) z)) (pow.f64 z #s(literal 3 binary64)))

rewrite207.0ms (2.8%)

Memory
-41.0MiB live, 211.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

eval34.0ms (0.5%)

Memory
7.7MiB live, 45.9MiB allocated
Compiler

Compiled 6 093 to 764 computations (87.5% saved)

prune7.0ms (0.1%)

Memory
23.1MiB live, 23.1MiB allocated
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2588266
Fresh000
Picked011
Done000
Total2589267
Accuracy
100.0%
Counts
267 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.1%
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
96.7%
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
83.9%
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
83.9%
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
67.5%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
51.7%
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal -1 binary64) z)))
93.6%
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
96.6%
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
74.1%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
Compiler

Compiled 201 to 145 computations (27.9% saved)

simplify292.0ms (3.9%)

Memory
-22.8MiB live, 96.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 1 (0.0ms)

IterNodesCost
027148
045148
187146
2201146
3660146
41559146
52781146
63928146
74157146
84222146
94266146
104268146
114476146
124492146
134492146
144492146
154492146
165129146
175813146
186125146
196365146
206533146
216605146
226605146
236605146
246605146
256605146
266605146
276605146
06605146
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
(fma.f64 z z z)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 x y)
x
y
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
z
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(*.f64 y x)
y
x
(*.f64 (fma.f64 z z z) z)
(fma.f64 z z z)
z
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 (/.f64 x (fma.f64 z z z)) z)
(/.f64 x (fma.f64 z z z))
x
(fma.f64 z z z)
z
y
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal -1 binary64) z)))
(/.f64 (/.f64 y z) z)
(/.f64 y z)
y
z
(/.f64 x (+.f64 #s(literal -1 binary64) z))
x
(+.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
Outputs
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 x z)
x
z
y
(fma.f64 z z z)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(/.f64 (*.f64 y x) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 x y)
(*.f64 y x)
x
y
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
z
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(*.f64 y x)
y
x
(*.f64 (fma.f64 z z z) z)
(fma.f64 z z z)
z
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 (/.f64 x (fma.f64 z z z)) z)
(/.f64 x (fma.f64 z z z))
x
(fma.f64 z z z)
z
y
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal -1 binary64) z)))
(*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z))
(/.f64 (/.f64 y z) z)
(/.f64 y z)
y
z
(/.f64 x (+.f64 #s(literal -1 binary64) z))
x
(+.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)

localize89.0ms (1.2%)

Memory
-3.4MiB live, 73.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 #s(literal -1 binary64) z)
accuracy0.0078125
(/.f64 x (+.f64 #s(literal -1 binary64) z))
accuracy0.1328125
(/.f64 (/.f64 y z) z)
accuracy6.901043721357545
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal -1 binary64) z)))
accuracy0.0
(fma.f64 z z z)
accuracy0.09375
(/.f64 (/.f64 x (fma.f64 z z z)) z)
accuracy0.5127267370566245
(/.f64 x (fma.f64 z z z))
accuracy3.83684663650392
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
accuracy0.0
(fma.f64 z z z)
accuracy0.0
(*.f64 y x)
accuracy0.0703125
(*.f64 (fma.f64 z z z) z)
accuracy10.17328122638328
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
accuracy0.0
(*.f64 z z)
accuracy0.0
(*.f64 x y)
accuracy10.17328122638328
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
accuracy25.402289852384047
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy0.0
(fma.f64 z z z)
accuracy0.0
(/.f64 x z)
accuracy1.8011233350080365
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
accuracy7.008125237053519
(*.f64 (/.f64 x z) y)
Samples
45.0ms256×0valid
Compiler

Compiled 151 to 27 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-div: 14.0ms (47.9% of total)
ival-mult: 11.0ms (37.7% of total)
ival-add: 4.0ms (13.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series105.0ms (1.4%)

Memory
-0.5MiB live, 37.8MiB allocated
Counts
19 → 74
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
(fma.f64 z z z)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 x y)
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(*.f64 y x)
(*.f64 (fma.f64 z z z) z)
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 (/.f64 x (fma.f64 z z z)) z)
(/.f64 x (fma.f64 z z z))
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal -1 binary64) z)))
(/.f64 (/.f64 y z) z)
(/.f64 y z)
(/.f64 x (+.f64 #s(literal -1 binary64) z))
(+.f64 #s(literal -1 binary64) z)
Outputs
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) z)
(/ x z)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* x y)
(/ x (* z (+ z (pow z 2))))
(/ x (+ z (pow z 2)))
(/ (* x y) (* (pow z 2) (- z 1)))
(/ x (- z 1))
(/ y (pow z 2))
(/ y z)
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
z
(* z (+ 1 z))
(pow z 2)
(* (pow z 2) (+ 1 z))
(/ x (pow z 2))
(/ (+ x (* -1 (* x z))) (pow z 2))
(/ (+ x (* z (- (* x z) x))) (pow z 2))
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2))
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* z (- (* x z) x))) z)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) z)
(* -1 (/ (* x y) (pow z 2)))
(/ (+ (* -1 (* x y)) (* -1 (* x (* y z)))) (pow z 2))
(/ (+ (* -1 (* x y)) (* z (- (* -1 (* x (* y z))) (* x y)))) (pow z 2))
(/ (+ (* -1 (* x y)) (* z (- (* z (- (* -1 (* x (* y z))) (* x y))) (* x y)))) (pow z 2))
(* -1 x)
(+ (* -1 x) (* -1 (* x z)))
(+ (* -1 x) (* z (- (* -1 (* x z)) x)))
(+ (* -1 x) (* z (- (* z (- (* -1 (* x z)) x)) x)))
-1
(- z 1)
(/ (* 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))
(* (pow z 2) (+ 1 (/ 1 z)))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(/ x (pow z 3))
(/ (+ x (* -1 (/ x z))) (pow z 3))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3))
(/ (+ x (* -1 (/ x z))) (pow z 2))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 2))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 2))
(/ (+ (* x y) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (* -1 (/ (* x y) z))) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x y) (pow z 2))))) (pow z 3))
(/ (+ x (/ x z)) z)
(/ (- (+ x (/ x (pow z 2))) (* -1 (/ x z))) z)
(/ (- (+ x (/ x (pow z 3))) (+ (* -1 (/ x z)) (* -1 (/ x (pow z 2))))) z)
(* z (- 1 (/ 1 z)))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) z))) (pow z 3)))
(/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 2))
(/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 2))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* x y) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* x y) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* x y) z))) z)) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ x z))) z))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (/ x z)) z))) z))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x z))) z))) z))) z))
(* -1 (* z (- (/ 1 z) 1)))
Calls

9 calls:

TimeVariablePointExpression
70.0ms
z
@0
((/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (* (+ (* z z) z) z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (* (/ (/ y z) z) (/ x (+ -1 z))) (/ (/ y z) z) (/ y z) (/ x (+ -1 z)) (+ -1 z))
7.0ms
y
@inf
((/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (* (+ (* z z) z) z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (* (/ (/ y z) z) (/ x (+ -1 z))) (/ (/ y z) z) (/ y z) (/ x (+ -1 z)) (+ -1 z))
6.0ms
x
@0
((/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (* (+ (* z z) z) z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (* (/ (/ y z) z) (/ x (+ -1 z))) (/ (/ y z) z) (/ y z) (/ x (+ -1 z)) (+ -1 z))
5.0ms
x
@-inf
((/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (* (+ (* z z) z) z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (* (/ (/ y z) z) (/ x (+ -1 z))) (/ (/ y z) z) (/ y z) (/ x (+ -1 z)) (+ -1 z))
4.0ms
x
@inf
((/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (* (+ (* z z) z) z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (* (/ (/ y z) z) (/ x (+ -1 z))) (/ (/ y z) z) (/ y z) (/ x (+ -1 z)) (+ -1 z))

simplify251.0ms (3.4%)

Memory
29.9MiB live, 175.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0211966
1738854
22805799
08555775
Stop Event
iter limit
node limit
Counts
74 → 73
Calls
Call 1
Inputs
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) z)
(/ x z)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* x y)
(/ x (* z (+ z (pow z 2))))
(/ x (+ z (pow z 2)))
(/ (* x y) (* (pow z 2) (- z 1)))
(/ x (- z 1))
(/ y (pow z 2))
(/ y z)
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
z
(* z (+ 1 z))
(pow z 2)
(* (pow z 2) (+ 1 z))
(/ x (pow z 2))
(/ (+ x (* -1 (* x z))) (pow z 2))
(/ (+ x (* z (- (* x z) x))) (pow z 2))
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2))
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* z (- (* x z) x))) z)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) z)
(* -1 (/ (* x y) (pow z 2)))
(/ (+ (* -1 (* x y)) (* -1 (* x (* y z)))) (pow z 2))
(/ (+ (* -1 (* x y)) (* z (- (* -1 (* x (* y z))) (* x y)))) (pow z 2))
(/ (+ (* -1 (* x y)) (* z (- (* z (- (* -1 (* x (* y z))) (* x y))) (* x y)))) (pow z 2))
(* -1 x)
(+ (* -1 x) (* -1 (* x z)))
(+ (* -1 x) (* z (- (* -1 (* x z)) x)))
(+ (* -1 x) (* z (- (* z (- (* -1 (* x z)) x)) x)))
-1
(- z 1)
(/ (* 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))
(* (pow z 2) (+ 1 (/ 1 z)))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(/ x (pow z 3))
(/ (+ x (* -1 (/ x z))) (pow z 3))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3))
(/ (+ x (* -1 (/ x z))) (pow z 2))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 2))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 2))
(/ (+ (* x y) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (* -1 (/ (* x y) z))) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x y) (pow z 2))))) (pow z 3))
(/ (+ x (/ x z)) z)
(/ (- (+ x (/ x (pow z 2))) (* -1 (/ x z))) z)
(/ (- (+ x (/ x (pow z 3))) (+ (* -1 (/ x z)) (* -1 (/ x (pow z 2))))) z)
(* z (- 1 (/ 1 z)))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) z))) (pow z 3)))
(/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 2))
(/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 2))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* x y) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* x y) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* x y) z))) z)) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ x z))) z))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (/ x z)) z))) z))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x z))) z))) z))) z))
(* -1 (* z (- (/ 1 z) 1)))
Outputs
(/ (* x y) (* z (+ z (pow z 2))))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ x z)
(/.f64 x z)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(* x y)
(*.f64 y x)
(/ x (* z (+ z (pow z 2))))
(/.f64 x (*.f64 (fma.f64 z z z) z))
(/ x (+ z (pow z 2)))
(/.f64 x (fma.f64 z z z))
(/ (* x y) (* (pow z 2) (- z 1)))
(*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z))
(/ x (- z 1))
(/.f64 x (-.f64 z #s(literal 1 binary64)))
(/ y (pow z 2))
(/.f64 y (*.f64 z z))
(/ y z)
(/.f64 y z)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 y (*.f64 z z)) x)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/.f64 (/.f64 (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) z)) z) z)
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 y z) y) z y)) (*.f64 z z))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (fma.f64 (neg.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 y z) y) z y))) z (*.f64 y x)) (*.f64 z z))
z
(* z (+ 1 z))
(fma.f64 z z z)
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
(/ x (pow z 2))
(/.f64 (/.f64 x z) z)
(/ (+ x (* -1 (* x z))) (pow z 2))
(/.f64 (-.f64 (/.f64 x z) x) z)
(/ (+ x (* z (- (* x z) x))) (pow z 2))
(/.f64 (/.f64 (fma.f64 (*.f64 x (-.f64 z #s(literal 1 binary64))) z x) z) z)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) z x) z (neg.f64 x)) z x) z) z)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(/ (+ x (* z (- (* x z) x))) z)
(/.f64 (fma.f64 (*.f64 x (-.f64 z #s(literal 1 binary64))) z x) z)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) z)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) z x) z (neg.f64 x)) z x) z)
(* -1 (/ (* x y) (pow z 2)))
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 x z))
(/ (+ (* -1 (* x y)) (* -1 (* x (* y z)))) (pow z 2))
(/.f64 (/.f64 (*.f64 (neg.f64 x) (fma.f64 y z y)) z) z)
(/ (+ (* -1 (* x y)) (* z (- (* -1 (* x (* y z))) (* x y)))) (pow z 2))
(/.f64 (/.f64 (fma.f64 (neg.f64 y) x (*.f64 (*.f64 (neg.f64 x) (fma.f64 y z y)) z)) z) z)
(/ (+ (* -1 (* x y)) (* z (- (* z (- (* -1 (* x (* y z))) (* x y))) (* x y)))) (pow z 2))
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) (fma.f64 y z y)) z) z (*.f64 (neg.f64 x) (fma.f64 y z y))) (*.f64 z z))
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* -1 (* x z)))
(*.f64 x (-.f64 #s(literal -1 binary64) z))
(+ (* -1 x) (* z (- (* -1 (* x z)) x)))
(fma.f64 (neg.f64 z) (fma.f64 z x x) (neg.f64 x))
(+ (* -1 x) (* z (- (* z (- (* -1 (* x z)) x)) x)))
(-.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 z x x) z x) z)) x)
-1
#s(literal -1 binary64)
(- z 1)
(-.f64 z #s(literal 1 binary64))
(/ (* x y) (pow z 3))
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x)
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (fma.f64 y (/.f64 (-.f64 (/.f64 x z) x) z) (*.f64 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 y z) (/.f64 (-.f64 x (/.f64 x z)) z) (*.f64 y (-.f64 x (/.f64 x z)))) (pow.f64 z #s(literal 3 binary64)))
(* (pow z 2) (+ 1 (/ 1 z)))
(fma.f64 z z z)
(pow z 3)
(pow.f64 z #s(literal 3 binary64))
(* (pow z 3) (+ 1 (/ 1 z)))
(*.f64 (fma.f64 z z z) z)
(/ x (pow z 3))
(/.f64 x (pow.f64 z #s(literal 3 binary64)))
(/ (+ x (* -1 (/ x z))) (pow z 3))
(/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3))
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3))
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) z)) (pow.f64 z #s(literal 3 binary64)))
(/ (+ x (* -1 (/ x z))) (pow z 2))
(/.f64 (/.f64 (-.f64 x (/.f64 x z)) z) z)
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 2))
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) (*.f64 z z))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 2))
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) z)) (*.f64 z z))
(/ (+ (* x y) (/ (* x y) z)) (pow z 3))
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (+.f64 (/.f64 x z) x))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (* -1 (/ (* x y) z))) (pow z 3))
(/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 y (/.f64 y z)) z) y)) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ (* x y) (/ (* x y) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x y) (pow z 2))))) (pow z 3))
(/.f64 (fma.f64 y x (/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 y (/.f64 y z)) z) y)) z)) (pow.f64 z #s(literal 3 binary64)))
(/ (+ x (/ x z)) z)
(/.f64 (+.f64 (/.f64 x z) x) z)
(/ (- (+ x (/ x (pow z 2))) (* -1 (/ x z))) z)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x z) x) z) x) z)
(/ (- (+ x (/ x (pow z 3))) (+ (* -1 (/ x z)) (* -1 (/ x (pow z 2))))) z)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x z) x) z) x) z) x) z)
(* z (- 1 (/ 1 z)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) z)
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(/.f64 (fma.f64 y (/.f64 (-.f64 (/.f64 x z) x) z) (*.f64 y x)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(/.f64 (fma.f64 (/.f64 y z) (/.f64 (-.f64 x (/.f64 x z)) z) (*.f64 y (-.f64 x (/.f64 x z)))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(/.f64 (fma.f64 y (/.f64 (-.f64 (/.f64 x z) x) z) (*.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 y z) (/.f64 (-.f64 x (/.f64 x z)) z) (*.f64 y (-.f64 x (/.f64 x z)))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3)))
(/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) (pow z 3)))
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) z))) (pow z 3)))
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) z)) (pow.f64 z #s(literal 3 binary64)))
(/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 2))
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) (*.f64 z z))
(/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 2))
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) z)) (*.f64 z z))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* x y) z))) (pow z 3)))
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (+.f64 (/.f64 x z) x))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* x y) (/ (* x y) z)) z))) (pow z 3)))
(/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 y (/.f64 y z)) z) y)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* x y) z))) z)) (* x y)) z))) (pow z 3)))
(/.f64 (fma.f64 y x (/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 y (/.f64 y z)) z) y)) z)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 x) (* -1 (/ x z))) z))
(/.f64 (+.f64 (/.f64 x z) x) z)
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (/ x z)) z))) z))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x z) x) z) x) z)
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x z))) z))) z))) z))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x z) x) z) x) z) x) z)
(* -1 (* z (- (/ 1 z) 1)))
(*.f64 (neg.f64 z) (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))

rewrite235.0ms (3.2%)

Memory
-24.0MiB live, 141.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027124
045123
1145121
2804121
09235121
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 307
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
(fma.f64 z z z)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 x y)
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(*.f64 y x)
(*.f64 (fma.f64 z z z) z)
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 (/.f64 x (fma.f64 z z z)) z)
(/.f64 x (fma.f64 z z z))
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal -1 binary64) z)))
(/.f64 (/.f64 y z) z)
(/.f64 y z)
(/.f64 x (+.f64 #s(literal -1 binary64) z))
(+.f64 #s(literal -1 binary64) z)
Outputs
(*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 y x) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 z z z) z))
(*.f64 (/.f64 (*.f64 y x) (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z z) (pow.f64 z #s(literal 6 binary64))))
(*.f64 (/.f64 (*.f64 y (/.f64 x z)) (*.f64 (fma.f64 z z #s(literal -1 binary64)) z)) (-.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 (*.f64 y (/.f64 x z)) (+.f64 (pow.f64 z #s(literal 4 binary64)) z)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 (/.f64 (neg.f64 y) z) z) x) (fma.f64 z z #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (*.f64 (/.f64 (/.f64 (neg.f64 y) z) z) x) (-.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 (/.f64 y z) z) x) (+.f64 #s(literal -1 binary64) (*.f64 z z))) (-.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (*.f64 (/.f64 (/.f64 y z) z) x) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal -1 binary64) z) z #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 (/.f64 y z) z) x) (fma.f64 z z #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (*.f64 (neg.f64 x) y) (+.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z z))
(*.f64 (/.f64 (*.f64 (neg.f64 x) y) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (neg.f64 x) y) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (neg.f64 x) y) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 z z z) z))
(*.f64 (/.f64 (*.f64 (neg.f64 x) y) (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z z) (pow.f64 z #s(literal 6 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (*.f64 (fma.f64 z z #s(literal -1 binary64)) z)) (-.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (+.f64 (pow.f64 z #s(literal 4 binary64)) z)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z))
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(fma.f64 #s(literal -1 binary64) (neg.f64 z) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))
(fma.f64 (*.f64 z z) (/.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (neg.f64 z) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) z #s(literal -1 binary64))
(fma.f64 z (/.f64 (*.f64 z z) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))
(fma.f64 z #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 z #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 (/.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) z) z #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) z) z #s(literal -1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (*.f64 z (/.f64 z (-.f64 #s(literal -1 binary64) z))))
(-.f64 (neg.f64 z) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (neg.f64 z))
(-.f64 #s(literal -1 binary64) z)
(-.f64 z #s(literal 1 binary64))
(+.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) z) z #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) z) z #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) z) z #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))
(+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 #s(literal -1 binary64) z)))
(+.f64 (neg.f64 z) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (neg.f64 z))
(+.f64 #s(literal -1 binary64) z)
(+.f64 z #s(literal -1 binary64))

eval248.0ms (3.3%)

Memory
15.6MiB live, 167.5MiB allocated
Compiler

Compiled 26 867 to 3 497 computations (87% saved)

prune59.0ms (0.8%)

Memory
21.9MiB live, 69.5MiB allocated
Pruning

14 alts after pruning (9 fresh and 5 done)

PrunedKeptTotal
New1 32071 327
Fresh123
Picked145
Done011
Total1 322141 336
Accuracy
100.0%
Counts
1 336 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.0%
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z)
96.7%
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
83.9%
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
83.9%
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
67.5%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
51.7%
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal -1 binary64) z)))
96.6%
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
67.1%
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
85.8%
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
74.5%
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
81.1%
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y)
74.1%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
29.1%
#s(approx (* (/ (/ y z) z) (/ x (+ -1 z))) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 x z)))
49.2%
#s(approx (* (/ (/ y z) z) (/ x (+ -1 z))) (*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z)))
Compiler

Compiled 335 to 237 computations (29.3% saved)

simplify240.0ms (3.2%)

Memory
-15.2MiB live, 59.9MiB allocated
Algorithm
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 (/.f64 y (fma.f64 z z z)) x)
cost-diff0
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z)
cost-diff0
(fma.f64 z z z)
cost-diff0
(*.f64 (fma.f64 z z z) z)
cost-diff0
(/.f64 x (*.f64 (fma.f64 z z z) z))
cost-diff0
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
cost-diff0
(/.f64 y z)
cost-diff0
(/.f64 x z)
cost-diff0
(*.f64 (/.f64 x z) (/.f64 y z))
cost-diff0
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
cost-diff0
(*.f64 z z)
cost-diff0
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
cost-diff0
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
cost-diff0
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
cost-diff0
(/.f64 x z)
cost-diff0
(fma.f64 z z z)
cost-diff0
(/.f64 y (fma.f64 z z z))
cost-diff0
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025168
039168
183164
2217164
3653164
41413164
52199164
62599164
72713164
82746164
92764164
102766164
113005164
123613164
133981164
143981164
153981164
164172164
174304164
184496164
194496164
04496164
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
(/.f64 y (fma.f64 z z z))
y
(fma.f64 z z z)
z
(/.f64 x z)
x
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
x
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
z
y
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 (/.f64 x z) (/.f64 y z))
(/.f64 x z)
x
z
(/.f64 y z)
y
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(/.f64 x (*.f64 (fma.f64 z z z) z))
x
(*.f64 (fma.f64 z z z) z)
(fma.f64 z z z)
z
y
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z)
(*.f64 (/.f64 y (fma.f64 z z z)) x)
(/.f64 y (fma.f64 z z z))
y
(fma.f64 z z z)
z
x
Outputs
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(/.f64 y (fma.f64 z z z))
y
(fma.f64 z z z)
z
(/.f64 x z)
x
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
x
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
z
y
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 (/.f64 x z) z) y))
(*.f64 (/.f64 x z) (/.f64 y z))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/.f64 x z)
x
z
(/.f64 y z)
y
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(/.f64 x (*.f64 (fma.f64 z z z) z))
x
(*.f64 (fma.f64 z z z) z)
(fma.f64 z z z)
z
y
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z)
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(*.f64 (/.f64 y (fma.f64 z z z)) x)
(*.f64 x (/.f64 y (fma.f64 z z z)))
(/.f64 y (fma.f64 z z z))
y
(fma.f64 z z z)
z
x

localize183.0ms (2.5%)

Memory
-13.9MiB live, 103.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 z z z)
accuracy0.7240314257480236
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z)
accuracy5.861734367942425
(*.f64 (/.f64 y (fma.f64 z z z)) x)
accuracy7.786766690558396
(/.f64 y (fma.f64 z z z))
accuracy0.0
(fma.f64 z z z)
accuracy0.0703125
(*.f64 (fma.f64 z z z) z)
accuracy3.83684663650392
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
accuracy7.478104991744526
(/.f64 x (*.f64 (fma.f64 z z z) z))
accuracy0.0
(/.f64 y z)
accuracy0.0
(/.f64 x z)
accuracy2.6402185568087955
(*.f64 (/.f64 x z) (/.f64 y z))
accuracy17.06098090023286
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
accuracy0.0
(*.f64 z z)
accuracy3.83684663650392
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
accuracy7.478104991744526
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
accuracy25.402289852384047
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy0.0
(fma.f64 z z z)
accuracy0.0
(/.f64 x z)
accuracy1.110705655853415
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
accuracy7.786766690558396
(/.f64 y (fma.f64 z z z))
Samples
158.0ms256×0valid
Compiler

Compiled 161 to 24 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 140.0ms
ival-mult: 127.0ms (90.5% of total)
ival-div: 11.0ms (7.8% of total)
ival-add: 2.0ms (1.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory
19.4MiB live, 56.8MiB allocated
Counts
16 → 59
Calls
Call 1
Inputs
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
(/.f64 y (fma.f64 z z z))
(fma.f64 z z z)
(/.f64 x z)
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 (/.f64 x z) (/.f64 y z))
(/.f64 y z)
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(/.f64 x (*.f64 (fma.f64 z z z) z))
(*.f64 (fma.f64 z z z) z)
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z)
(*.f64 (/.f64 y (fma.f64 z z z)) x)
Outputs
(/ (* x y) (* z (+ z (pow z 2))))
(/ x z)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ x (* (pow z 2) (+ 1 z)))
(/ (* x y) (pow z 2))
(/ x (* z (+ z (pow z 2))))
(/ (* x y) (+ z (pow z 2)))
(/ y (+ z (pow z 2)))
(/ y z)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ (+ y (* -1 (* y z))) z)
(/ (+ y (* z (- (* y z) y))) z)
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z)
z
(* z (+ 1 z))
(/ x (pow z 2))
(/ (+ x (* -1 (* x z))) (pow z 2))
(/ (+ x (* z (- (* x z) x))) (pow z 2))
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 z))
(/ (* 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 y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ y (pow z 2))
(/ (+ y (* -1 (/ y z))) (pow z 2))
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 2))
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 2))
(* (pow z 2) (+ 1 (/ 1 z)))
(/ x (pow z 3))
(/ (+ x (* -1 (/ x z))) (pow z 3))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(/ (+ (* -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))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) (pow z 2))
(/ (+ y (* -1 (/ (- (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z)) (* -1 y)) z))) (pow z 2))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x z) x) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x z) x) z)) x) z))) (pow z 3)))
(* -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))
Calls

9 calls:

TimeVariablePointExpression
5.0ms
y
@-inf
((* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (+ (* z z) z) (/ x z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* (/ x z) (/ y z)) (/ y z) (* (/ x (* (+ (* z z) z) z)) y) (/ x (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (/ (* (/ y (+ (* z z) z)) x) z) (* (/ y (+ (* z z) z)) x))
4.0ms
x
@-inf
((* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (+ (* z z) z) (/ x z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* (/ x z) (/ y z)) (/ y z) (* (/ x (* (+ (* z z) z) z)) y) (/ x (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (/ (* (/ y (+ (* z z) z)) x) z) (* (/ y (+ (* z z) z)) x))
3.0ms
x
@0
((* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (+ (* z z) z) (/ x z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* (/ x z) (/ y z)) (/ y z) (* (/ x (* (+ (* z z) z) z)) y) (/ x (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (/ (* (/ y (+ (* z z) z)) x) z) (* (/ y (+ (* z z) z)) x))
3.0ms
x
@inf
((* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (+ (* z z) z) (/ x z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* (/ x z) (/ y z)) (/ y z) (* (/ x (* (+ (* z z) z) z)) y) (/ x (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (/ (* (/ y (+ (* z z) z)) x) z) (* (/ y (+ (* z z) z)) x))
2.0ms
y
@inf
((* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (+ (* z z) z) (/ x z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* (/ x z) (/ y z)) (/ y z) (* (/ x (* (+ (* z z) z) z)) y) (/ x (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (/ (* (/ y (+ (* z z) z)) x) z) (* (/ y (+ (* z z) z)) x))

simplify200.0ms (2.7%)

Memory
-3.9MiB live, 155.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0191831
1657735
22287661
08477645
Stop Event
iter limit
node limit
Counts
59 → 58
Calls
Call 1
Inputs
(/ (* x y) (* z (+ z (pow z 2))))
(/ x z)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ x (* (pow z 2) (+ 1 z)))
(/ (* x y) (pow z 2))
(/ x (* z (+ z (pow z 2))))
(/ (* x y) (+ z (pow z 2)))
(/ y (+ z (pow z 2)))
(/ y z)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ (+ y (* -1 (* y z))) z)
(/ (+ y (* z (- (* y z) y))) z)
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z)
z
(* z (+ 1 z))
(/ x (pow z 2))
(/ (+ x (* -1 (* x z))) (pow z 2))
(/ (+ x (* z (- (* x z) x))) (pow z 2))
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 z))
(/ (* 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 y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ y (pow z 2))
(/ (+ y (* -1 (/ y z))) (pow z 2))
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 2))
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 2))
(* (pow z 2) (+ 1 (/ 1 z)))
(/ x (pow z 3))
(/ (+ x (* -1 (/ x z))) (pow z 3))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(/ (+ (* -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))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) (pow z 2))
(/ (+ y (* -1 (/ (- (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z)) (* -1 y)) z))) (pow z 2))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x z) x) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x z) x) z)) x) z))) (pow z 3)))
(* -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))
Outputs
(/ (* x y) (* z (+ z (pow z 2))))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(/ x z)
(/.f64 x z)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(/ x (* (pow z 2) (+ 1 z)))
(/.f64 x (*.f64 (fma.f64 z z z) z))
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 y z) z) x)
(/ x (* z (+ z (pow z 2))))
(/.f64 x (*.f64 (fma.f64 z z z) z))
(/ (* x y) (+ z (pow z 2)))
(*.f64 (/.f64 y (fma.f64 z z z)) x)
(/ y (+ z (pow z 2)))
(/.f64 y (fma.f64 z z z))
(/ y z)
(/.f64 y z)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (-.f64 (*.f64 (/.f64 y z) x) (*.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) #s(literal 1 binary64))) z)
(/ (+ y (* -1 (* y z))) z)
(-.f64 (/.f64 y z) y)
(/ (+ y (* z (- (* y z) y))) z)
(/.f64 (fma.f64 (-.f64 (*.f64 z y) y) z y) z)
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) z y) z (neg.f64 y)) z y) z)
z
(* z (+ 1 z))
(fma.f64 z z z)
(/ x (pow z 2))
(/.f64 (/.f64 x z) z)
(/ (+ x (* -1 (* x z))) (pow z 2))
(/.f64 (-.f64 (/.f64 x z) x) z)
(/ (+ x (* z (- (* x z) x))) (pow z 2))
(+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) z x) z (neg.f64 x)) z x) z) z)
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ (+ (* -1 (* x (* y z))) (* x y)) z)
(*.f64 x (-.f64 (/.f64 y z) y))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z)
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) z)
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z)
(-.f64 (*.f64 (/.f64 y z) x) (*.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) #s(literal 1 binary64)))
(/ (* 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 y (/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (neg.f64 z))) (pow.f64 z #s(literal 3 binary64)))
(/ y (pow z 2))
(/.f64 (/.f64 y z) z)
(/ (+ y (* -1 (/ y z))) (pow z 2))
(/.f64 (/.f64 (-.f64 y (/.f64 y z)) z) z)
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 2))
(/.f64 (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z) z)
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 2))
(/.f64 (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z)) z) z)
(* (pow z 2) (+ 1 (/ 1 z)))
(fma.f64 z z z)
(/ x (pow z 3))
(/.f64 x (pow.f64 z #s(literal 3 binary64)))
(/ (+ x (* -1 (/ x z))) (pow z 3))
(/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3))
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z)) (pow.f64 z #s(literal 3 binary64)))
(pow z 3)
(pow.f64 z #s(literal 3 binary64))
(* (pow z 3) (+ 1 (/ 1 z)))
(*.f64 (fma.f64 z z z) z)
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2))
(/.f64 (*.f64 x (/.f64 (-.f64 y (/.f64 y z)) z)) z)
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 2))
(/.f64 (*.f64 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 y (/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (neg.f64 z))) (*.f64 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 y (/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (neg.f64 z))) (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)
(* -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 y (/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (neg.f64 z))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3)))
(/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x z) x) z))) (pow z 3)))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x z) x) z)) x) z))) (pow z 3)))
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) (pow z 3)))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) z))) (pow z 3)))
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z)) (pow.f64 z #s(literal 3 binary64)))
(/ (+ (* -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 y (/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (neg.f64 z))) (*.f64 z z))

rewrite145.0ms (2%)

Memory
8.1MiB live, 176.1MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025136
039136
1123132
2678132
37315132
08049132
Stop Event
iter limit
node limit
iter limit
Counts
16 → 1 038
Calls
Call 1
Inputs
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
(/.f64 y (fma.f64 z z z))
(fma.f64 z z z)
(/.f64 x z)
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 (/.f64 x z) (/.f64 y z))
(/.f64 y z)
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(/.f64 x (*.f64 (fma.f64 z z z) z))
(*.f64 (fma.f64 z z z) z)
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z)
(*.f64 (/.f64 y (fma.f64 z z z)) x)
Outputs
(*.f64 (/.f64 (*.f64 (neg.f64 y) x) (+.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z z))
(*.f64 (/.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (neg.f64 y) x) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (neg.f64 y) x) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 z z z) z))
(*.f64 (/.f64 (*.f64 (neg.f64 y) x) (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z z) (pow.f64 z #s(literal 6 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 (/.f64 y z) z) x) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (*.f64 (/.f64 (/.f64 y z) z) x) (neg.f64 (fma.f64 z z #s(literal -1 binary64)))) (neg.f64 (-.f64 z #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 (/.f64 y z) z) x) (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 x y) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 z z z) z))
(*.f64 (/.f64 (*.f64 x y) (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z z) (pow.f64 z #s(literal 6 binary64))))
(*.f64 (*.f64 (/.f64 (/.f64 x z) z) (/.f64 y (fma.f64 z z #s(literal -1 binary64)))) (-.f64 z #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 x z) z) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 x z) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 (neg.f64 y) (*.f64 z z)) (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (neg.f64 y) (*.f64 z z)) (/.f64 x (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 y) (*.f64 z z)) (/.f64 x (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x z) (neg.f64 z)))
(*.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) z)) (/.f64 (neg.f64 x) (*.f64 z z)))
(*.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 (neg.f64 z) z)))
(*.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x z) z))
(*.f64 (/.f64 (neg.f64 x) (*.f64 z z)) (/.f64 y (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) (*.f64 z z)) (/.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) z)) (/.f64 y (*.f64 (neg.f64 z) z)))
(*.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 y z) z))
(*.f64 (/.f64 (*.f64 x (/.f64 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 x (/.f64 y (fma.f64 z z (pow.f64 z #s(literal 4 binary64))))) z) (/.f64 (fma.f64 z z z) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 x y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) z))
(*.f64 (/.f64 (/.f64 (*.f64 x y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) z) (/.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 (/.f64 y z) z))
(*.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 (/.f64 x z) z))
(*.f64 (/.f64 y (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))) (/.f64 (neg.f64 x) (*.f64 z z)))
(*.f64 (/.f64 y (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))) (/.f64 (/.f64 x z) z))
(*.f64 (/.f64 y (*.f64 (neg.f64 z) z)) (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 y (*.f64 (neg.f64 z) z)) (/.f64 x (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))) (/.f64 (neg.f64 y) (*.f64 z z)))
(*.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))) (/.f64 (/.f64 y z) z))
(*.f64 (/.f64 x (*.f64 (neg.f64 z) z)) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x (*.f64 (neg.f64 z) z)) (/.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 y (fma.f64 z z z)) z))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (/.f64 x (fma.f64 z z z)) z))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 y (fma.f64 z z z)) z))
(*.f64 (/.f64 y (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) (*.f64 (fma.f64 z z z) (/.f64 x z)))
(*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (/.f64 x z)))
(*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 (/.f64 x z) z)))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (/.f64 (/.f64 x z) z)))
(*.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 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (/.f64 y z)))
(*.f64 (/.f64 (*.f64 x y) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 x y) (+.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z z))
(*.f64 (/.f64 (*.f64 x y) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))
(*.f64 (*.f64 x (/.f64 y (fma.f64 z z (pow.f64 z #s(literal 4 binary64))))) (/.f64 (fma.f64 z z z) (neg.f64 z)))
(*.f64 (*.f64 x (/.f64 y (fma.f64 z z (pow.f64 z #s(literal 4 binary64))))) (/.f64 (fma.f64 z z z) z))
(*.f64 (*.f64 x (/.f64 y (fma.f64 z z (pow.f64 z #s(literal 4 binary64))))) (-.f64 z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 x y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (neg.f64 z)))
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(*.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) z)) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))
(*.f64 (/.f64 y (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 y (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))) (/.f64 x z))
(*.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))) (/.f64 y z))
(*.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z))) (/.f64 x z))
(*.f64 (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z))) (/.f64 y z))
(*.f64 (/.f64 y (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) (*.f64 (fma.f64 z z z) x))
(*.f64 (/.f64 y (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) (*.f64 (fma.f64 z z z) (neg.f64 x)))
(*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) x))
(*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (neg.f64 x)))
(*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x z)))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (/.f64 x z)))
(*.f64 (/.f64 x (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) (*.f64 (fma.f64 z z z) y))
(*.f64 (/.f64 x (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) y))
(*.f64 (*.f64 x (/.f64 y (fma.f64 z z (pow.f64 z #s(literal 4 binary64))))) (fma.f64 z z z))
(*.f64 (/.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 (neg.f64 x) z) (/.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 x (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))
(*.f64 (/.f64 x (fma.f64 z z z)) y)
(*.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (/.f64 (*.f64 x y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 x z))
(*.f64 (neg.f64 y) (/.f64 x (fma.f64 z z z)))
(*.f64 (neg.f64 x) (/.f64 y (fma.f64 z z z)))
(*.f64 (/.f64 y z) (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 y z) (/.f64 x (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x z) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x z) (/.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 x (/.f64 y (fma.f64 z z z)))
(*.f64 (/.f64 y (fma.f64 z z z)) (neg.f64 x))
(*.f64 (/.f64 y (fma.f64 z z z)) x)
(*.f64 (fma.f64 z z z) (*.f64 x (/.f64 y (fma.f64 z z (pow.f64 z #s(literal 4 binary64))))))
(*.f64 y (/.f64 x (fma.f64 z z z)))
(/.f64 (/.f64 (*.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 (neg.f64 y) x) (-.f64 #s(literal 1 binary64) z)) (neg.f64 z))
(/.f64 (/.f64 (*.f64 (neg.f64 y) x) (-.f64 #s(literal 1 binary64) z)) z)
(/.f64 (/.f64 (*.f64 x y) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))) z)
(/.f64 (*.f64 (*.f64 x y) (fma.f64 z z z)) (fma.f64 z z (pow.f64 z #s(literal 4 binary64))))
(/.f64 (*.f64 (*.f64 x y) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64)))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 z z (pow.f64 z #s(literal 4 binary64))))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))
(/.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 z z (pow.f64 z #s(literal 4 binary64))))) (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z z))
(/.f64 (*.f64 (/.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 #s(literal 1 binary64)) (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))
(/.f64 (*.f64 (/.f64 (*.f64 x y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (fma.f64 z z z) z) #s(literal 3 binary64)) (pow.f64 z #s(literal 12 binary64)))) (fma.f64 (*.f64 (fma.f64 z z z) z) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64))))
(/.f64 (neg.f64 (*.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) z)))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) z)))) z)
(/.f64 (*.f64 (*.f64 x y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (*.f64 (*.f64 x y) (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) (*.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z z)))
(/.f64 (*.f64 (*.f64 x y) (fma.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)))) (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (*.f64 (*.f64 x y) (+.f64 (pow.f64 (*.f64 (fma.f64 z z z) z) #s(literal 3 binary64)) (pow.f64 z #s(literal 12 binary64)))) (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 z z z) z) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64)))))
(/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (neg.f64 y)) (neg.f64 z))
(/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) y) z)
(/.f64 (*.f64 (neg.f64 x) (/.f64 y (-.f64 #s(literal 1 binary64) z))) z)
(/.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (neg.f64 x)) (neg.f64 z))
(/.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (neg.f64 x)) z)
(/.f64 (*.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) z))) (neg.f64 z))
(/.f64 (*.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) z))) z)
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (-.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 x y) (fma.f64 z z z))
(/.f64 (*.f64 (/.f64 y z) x) (-.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z z))
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) #s(literal 1 binary64))
(neg.f64 (*.f64 x (/.f64 y (fma.f64 z z z))))
(fma.f64 (/.f64 (*.f64 x 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 (*.f64 x 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 (/.f64 (*.f64 x 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 x 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 (fma.f64 z z z) z) (/.f64 (*.f64 x 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 (*.f64 x y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 x 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 (*.f64 x y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 (fma.f64 z z z) z) (/.f64 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(+.f64 (*.f64 (/.f64 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 x y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 z z z) z)))

eval138.0ms (1.9%)

Memory
11.1MiB live, 199.7MiB allocated
Compiler

Compiled 23 292 to 3 152 computations (86.5% saved)

prune53.0ms (0.7%)

Memory
-11.4MiB live, 70.0MiB allocated
Pruning

17 alts after pruning (8 fresh and 9 done)

PrunedKeptTotal
New1 14141 145
Fresh044
Picked055
Done145
Total1 142171 159
Accuracy
100.0%
Counts
1 159 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.0%
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z)
96.7%
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
96.0%
(/.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) x) z)
67.9%
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) z)
83.9%
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
83.9%
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
67.5%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
71.8%
(/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 y z) x)) z)
96.6%
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
67.1%
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
85.8%
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
74.5%
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
81.1%
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y)
74.9%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 z)))
74.1%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
29.1%
#s(approx (* (/ (/ y z) z) (/ x (+ -1 z))) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 x z)))
49.2%
#s(approx (* (/ (/ y z) z) (/ x (+ -1 z))) (*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z)))
Compiler

Compiled 402 to 281 computations (30.1% saved)

simplify131.0ms (1.8%)

Memory
25.2MiB live, 98.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 z #s(literal 1 binary64))
cost-diff0
(/.f64 y (-.f64 z #s(literal 1 binary64)))
cost-diff0
(*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z))
cost-diff0
#s(approx (* (/ (/ y z) z) (/ x (+ -1 z))) (*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z)))
cost-diff0
(/.f64 (neg.f64 x) z)
cost-diff0
(*.f64 (/.f64 (neg.f64 x) z) y)
cost-diff0
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 z)))
cost-diff2
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 z))
cost-diff0
(/.f64 y z)
cost-diff0
(*.f64 (/.f64 y z) x)
cost-diff0
#s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 y z) x))
cost-diff0
(/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 y z) x)) z)
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
(/.f64 y (fma.f64 z z #s(literal -1 binary64)))
cost-diff0
(*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) x)
cost-diff0
(/.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) x) z)
cost-diff6
(*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044254
066254
1134250
2360250
31351241
44001235
56924235
08340226
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) x) z)
(*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) x)
(*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z))
(/.f64 y (fma.f64 z z #s(literal -1 binary64)))
y
(fma.f64 z z #s(literal -1 binary64))
z
#s(literal -1 binary64)
(/.f64 (-.f64 z #s(literal 1 binary64)) z)
(-.f64 z #s(literal 1 binary64))
#s(literal 1 binary64)
x
(*.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 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 y z) x)) z)
#s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
x
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 z)))
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 z))
(*.f64 (/.f64 (neg.f64 x) z) y)
(/.f64 (neg.f64 x) z)
(neg.f64 x)
x
z
y
(neg.f64 z)
#s(approx (* (/ (/ y z) z) (/ x (+ -1 z))) (*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z)))
(*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z))
(/.f64 y (-.f64 z #s(literal 1 binary64)))
y
(-.f64 z #s(literal 1 binary64))
z
#s(literal 1 binary64)
(/.f64 (/.f64 x z) z)
(/.f64 x z)
x
Outputs
(/.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) x) z)
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) x)
(*.f64 (/.f64 x (fma.f64 z z z)) y)
(*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z))
(/.f64 y (fma.f64 z z z))
(/.f64 y (fma.f64 z z #s(literal -1 binary64)))
y
(fma.f64 z z #s(literal -1 binary64))
z
#s(literal -1 binary64)
(/.f64 (-.f64 z #s(literal 1 binary64)) z)
(-.f64 z #s(literal 1 binary64))
#s(literal 1 binary64)
x
(*.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 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 y z) x)) z)
#s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
x
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 z)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 (/.f64 x z) z) y))
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 z))
(*.f64 (/.f64 (/.f64 x z) z) y)
(*.f64 (/.f64 (neg.f64 x) z) y)
(/.f64 (neg.f64 x) z)
(neg.f64 x)
x
z
y
(neg.f64 z)
#s(approx (* (/ (/ y z) z) (/ x (+ -1 z))) (*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z)))
#s(approx (* (/ (/ y z) z) (/ x (+ -1 z))) (*.f64 (/.f64 (/.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) z) z) x))
(*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z))
(*.f64 (/.f64 (/.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) z) z) x)
(/.f64 y (-.f64 z #s(literal 1 binary64)))
y
(-.f64 z #s(literal 1 binary64))
z
#s(literal 1 binary64)
(/.f64 (/.f64 x z) z)
(/.f64 x z)
x

localize124.0ms (1.7%)

Memory
-28.5MiB live, 180.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
#s(approx (* (/ (/ y z) z) (/ x (+ -1 z))) (*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z)))
accuracy0.00390625
(/.f64 y (-.f64 z #s(literal 1 binary64)))
accuracy0.140625
(/.f64 (/.f64 x z) z)
accuracy2.4762324946369305
(*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z))
accuracy0.0
(neg.f64 x)
accuracy0.3145572074782933
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 z))
accuracy7.008125237053519
(*.f64 (/.f64 (neg.f64 x) z) y)
accuracy17.06098090023286
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 z)))
accuracy0.0
(/.f64 y z)
accuracy0.7240314257480236
(/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 y z) x)) z)
accuracy4.859229757176856
(*.f64 (/.f64 y z) x)
accuracy23.375390404841838
#s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 y z) x))
accuracy0.0
(*.f64 z z)
accuracy5.238643099905375
(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
accuracy7.019140347119576
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
accuracy25.402289852384047
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy0.08984375
(*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z))
accuracy0.7240314257480236
(/.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) x) z)
accuracy5.861734367942425
(*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) x)
accuracy7.790672940558396
(/.f64 y (fma.f64 z z #s(literal -1 binary64)))
Samples
84.0ms256×0valid
Compiler

Compiled 215 to 40 computations (81.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-div: 25.0ms (38.3% of total)
ival-add: 20.0ms (30.6% of total)
ival-mult: 16.0ms (24.5% of total)
ival-neg: 2.0ms (3.1% of total)
ival-sub: 1.0ms (1.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series64.0ms (0.9%)

Memory
-1.0MiB live, 109.1MiB allocated
Counts
22 → 101
Calls
Call 1
Inputs
(*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z))
(/.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) x) z)
(*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) x)
(/.f64 y (fma.f64 z z #s(literal -1 binary64)))
(*.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 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 y z) x)) z)
#s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 z))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 z)))
(*.f64 (/.f64 (neg.f64 x) z) y)
(/.f64 (neg.f64 x) z)
#s(approx (* (/ (/ y z) z) (/ x (+ -1 z))) (*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z)))
(*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z))
(/.f64 y (-.f64 z #s(literal 1 binary64)))
(-.f64 z #s(literal 1 binary64))
(neg.f64 x)
(/.f64 (/.f64 x z) z)
Outputs
(/ (* x (* y (- z 1))) (* (pow z 2) (- (pow z 2) 1)))
(/ (* x (* y (- z 1))) (* z (- (pow z 2) 1)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) z)
(/ (* x y) (pow z 2))
(* -1 (/ (* x y) z))
(* -1 (/ x z))
(/ (* x y) (* (pow z 2) (- z 1)))
(* -1 x)
(/ x (pow z 2))
(/ (* y (- z 1)) (* z (- (pow z 2) 1)))
(/ y (- (pow z 2) 1))
(/ y (* (pow z 2) (+ 1 z)))
(/ y z)
(/ y (- z 1))
(/ (+ y (* -1 (* y z))) z)
(/ (+ y (* z (+ (* -1 y) (* y z)))) z)
(/ (+ y (* z (+ (* -1 y) (* z (- (* -1 (* y z)) (* -1 y)))))) z)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (+ (* -1 (* x y)) (* x (* y z))))) (pow z 2))
(/ (+ (* x y) (* z (+ (* -1 (* x y)) (* z (- (* -1 (* x (* y z))) (* -1 (* x y))))))) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) z)
(/ (+ (* x y) (* z (+ (* -1 (* x y)) (* x (* y z))))) z)
(/ (+ (* x y) (* z (+ (* -1 (* x y)) (* z (- (* -1 (* x (* y z))) (* -1 (* x y))))))) z)
(* -1 y)
(+ (* -1 y) (* -1 (* y (pow z 2))))
(+ (* -1 y) (* (pow z 2) (- (* -1 (* y (pow z 2))) y)))
(+ (* -1 y) (* (pow z 2) (- (* (pow z 2) (- (* -1 (* y (pow z 2))) y)) y)))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ y (pow z 2))
(/ (+ y (* -1 (* y z))) (pow z 2))
(/ (+ y (* z (- (* y z) y))) (pow z 2))
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 z))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z)
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z)
(* -1 (/ (* x y) (pow z 2)))
(/ (+ (* -1 (* x y)) (* -1 (* x (* y z)))) (pow z 2))
(/ (+ (* -1 (* x y)) (* z (- (* -1 (* x (* y z))) (* x y)))) (pow z 2))
(/ (+ (* -1 (* x y)) (* z (- (* z (- (* -1 (* x (* y z))) (* x y))) (* x y)))) (pow z 2))
(+ (* -1 y) (* -1 (* y z)))
(+ (* -1 y) (* z (- (* -1 (* y z)) y)))
(+ (* -1 y) (* z (- (* z (- (* -1 (* y z)) y)) y)))
-1
(- z 1)
(/ (+ y (* -1 (/ y z))) (pow z 2))
(/ (+ y (+ (* -1 (/ y z)) (/ y (pow z 2)))) (pow z 2))
(/ (- (+ y (+ (* -1 (/ y z)) (* -1 (/ y (pow z 3))))) (* -1 (/ y (pow z 2)))) (pow z 2))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (+ (* x y) (/ (* x y) (pow z 2)))) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) z)) (+ (* -1 (/ (* x y) (pow z 3))) (* x y))) (* -1 (/ (* x y) (pow z 2)))) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2))
(/ (+ (* -1 (/ (* x y) z)) (+ (* x y) (/ (* x y) (pow z 2)))) (pow z 2))
(/ (- (+ (* -1 (/ (* x y) z)) (+ (* -1 (/ (* x y) (pow z 3))) (* x y))) (* -1 (/ (* x y) (pow z 2)))) (pow z 2))
(/ (+ y (/ y (pow z 2))) (pow z 2))
(/ (- (+ y (/ y (pow z 4))) (* -1 (/ y (pow z 2)))) (pow z 2))
(/ (- (+ y (/ y (pow z 6))) (+ (* -1 (/ y (pow z 2))) (* -1 (/ y (pow z 4))))) (pow z 2))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ y (pow z 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 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 y) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (* -1 (/ (* x y) z))) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x y) (pow z 2))))) (pow z 3))
(/ (+ y (/ y z)) z)
(/ (- (+ y (/ y (pow z 2))) (* -1 (/ y z))) z)
(/ (- (+ y (/ y (pow z 3))) (+ (* -1 (/ y z)) (* -1 (/ y (pow z 2))))) z)
z
(* z (- 1 (/ 1 z)))
(/ (+ y (* -1 (/ (+ y (* -1 (/ y z))) z))) (pow z 2))
(/ (+ y (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) 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)) (* x y)) z)) (* x y)) (pow z 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* x y)) z)) (* x y)) (pow z 2))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 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 y) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* x y) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* x y) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* x y) z))) z)) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 y) (* -1 (/ y z))) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ y (/ y z)) z))) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ y (* -1 (/ (+ (* -1 y) (* -1 (/ y z))) z))) z))) z))
(* -1 (* z (- (/ 1 z) 1)))
Calls

9 calls:

TimeVariablePointExpression
16.0ms
y
@inf
((* (/ y (+ (* z z) -1)) (/ (- z 1) z)) (/ (* (* (/ y (+ (* z z) -1)) (/ (- z 1) z)) x) z) (* (* (/ y (+ (* z z) -1)) (/ (- z 1) z)) x) (/ y (+ (* z z) -1)) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* (/ y (+ (* z z) z)) x) z) (* (/ y (+ (* z z) z)) x) (* (/ y z) x) (/ y z) (/ (* (/ (neg x) z) y) (neg z)) (/ (* x y) (* (* z z) (+ z 1))) (* (/ (neg x) z) y) (/ (neg x) z) (* (/ (/ y z) z) (/ x (+ -1 z))) (* (/ y (- z 1)) (/ (/ x z) z)) (/ y (- z 1)) (- z 1) (neg x) (/ (/ x z) z))
13.0ms
x
@-inf
((* (/ y (+ (* z z) -1)) (/ (- z 1) z)) (/ (* (* (/ y (+ (* z z) -1)) (/ (- z 1) z)) x) z) (* (* (/ y (+ (* z z) -1)) (/ (- z 1) z)) x) (/ y (+ (* z z) -1)) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* (/ y (+ (* z z) z)) x) z) (* (/ y (+ (* z z) z)) x) (* (/ y z) x) (/ y z) (/ (* (/ (neg x) z) y) (neg z)) (/ (* x y) (* (* z z) (+ z 1))) (* (/ (neg x) z) y) (/ (neg x) z) (* (/ (/ y z) z) (/ x (+ -1 z))) (* (/ y (- z 1)) (/ (/ x z) z)) (/ y (- z 1)) (- z 1) (neg x) (/ (/ x z) z))
7.0ms
y
@-inf
((* (/ y (+ (* z z) -1)) (/ (- z 1) z)) (/ (* (* (/ y (+ (* z z) -1)) (/ (- z 1) z)) x) z) (* (* (/ y (+ (* z z) -1)) (/ (- z 1) z)) x) (/ y (+ (* z z) -1)) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* (/ y (+ (* z z) z)) x) z) (* (/ y (+ (* z z) z)) x) (* (/ y z) x) (/ y z) (/ (* (/ (neg x) z) y) (neg z)) (/ (* x y) (* (* z z) (+ z 1))) (* (/ (neg x) z) y) (/ (neg x) z) (* (/ (/ y z) z) (/ x (+ -1 z))) (* (/ y (- z 1)) (/ (/ x z) z)) (/ y (- z 1)) (- z 1) (neg x) (/ (/ x z) z))
6.0ms
z
@-inf
((* (/ y (+ (* z z) -1)) (/ (- z 1) z)) (/ (* (* (/ y (+ (* z z) -1)) (/ (- z 1) z)) x) z) (* (* (/ y (+ (* z z) -1)) (/ (- z 1) z)) x) (/ y (+ (* z z) -1)) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* (/ y (+ (* z z) z)) x) z) (* (/ y (+ (* z z) z)) x) (* (/ y z) x) (/ y z) (/ (* (/ (neg x) z) y) (neg z)) (/ (* x y) (* (* z z) (+ z 1))) (* (/ (neg x) z) y) (/ (neg x) z) (* (/ (/ y z) z) (/ x (+ -1 z))) (* (/ y (- z 1)) (/ (/ x z) z)) (/ y (- z 1)) (- z 1) (neg x) (/ (/ x z) z))
5.0ms
x
@inf
((* (/ y (+ (* z z) -1)) (/ (- z 1) z)) (/ (* (* (/ y (+ (* z z) -1)) (/ (- z 1) z)) x) z) (* (* (/ y (+ (* z z) -1)) (/ (- z 1) z)) x) (/ y (+ (* z z) -1)) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* (/ y (+ (* z z) z)) x) z) (* (/ y (+ (* z z) z)) x) (* (/ y z) x) (/ y z) (/ (* (/ (neg x) z) y) (neg z)) (/ (* x y) (* (* z z) (+ z 1))) (* (/ (neg x) z) y) (/ (neg x) z) (* (/ (/ y z) z) (/ x (+ -1 z))) (* (/ y (- z 1)) (/ (/ x z) z)) (/ y (- z 1)) (- z 1) (neg x) (/ (/ x z) z))

simplify160.0ms (2.2%)

Memory
4.0MiB live, 245.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02991540
110311309
238881179
083901149
Stop Event
iter limit
node limit
Counts
101 → 100
Calls
Call 1
Inputs
(/ (* x (* y (- z 1))) (* (pow z 2) (- (pow z 2) 1)))
(/ (* x (* y (- z 1))) (* z (- (pow z 2) 1)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (+ z (pow z 2)))
(/ (* x y) z)
(/ (* x y) (pow z 2))
(* -1 (/ (* x y) z))
(* -1 (/ x z))
(/ (* x y) (* (pow z 2) (- z 1)))
(* -1 x)
(/ x (pow z 2))
(/ (* y (- z 1)) (* z (- (pow z 2) 1)))
(/ y (- (pow z 2) 1))
(/ y (* (pow z 2) (+ 1 z)))
(/ y z)
(/ y (- z 1))
(/ (+ y (* -1 (* y z))) z)
(/ (+ y (* z (+ (* -1 y) (* y z)))) z)
(/ (+ y (* z (+ (* -1 y) (* z (- (* -1 (* y z)) (* -1 y)))))) z)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (+ (* -1 (* x y)) (* x (* y z))))) (pow z 2))
(/ (+ (* x y) (* z (+ (* -1 (* x y)) (* z (- (* -1 (* x (* y z))) (* -1 (* x y))))))) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) z)
(/ (+ (* x y) (* z (+ (* -1 (* x y)) (* x (* y z))))) z)
(/ (+ (* x y) (* z (+ (* -1 (* x y)) (* z (- (* -1 (* x (* y z))) (* -1 (* x y))))))) z)
(* -1 y)
(+ (* -1 y) (* -1 (* y (pow z 2))))
(+ (* -1 y) (* (pow z 2) (- (* -1 (* y (pow z 2))) y)))
(+ (* -1 y) (* (pow z 2) (- (* (pow z 2) (- (* -1 (* y (pow z 2))) y)) y)))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ y (pow z 2))
(/ (+ y (* -1 (* y z))) (pow z 2))
(/ (+ y (* z (- (* y z) y))) (pow z 2))
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 z))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z)
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z)
(* -1 (/ (* x y) (pow z 2)))
(/ (+ (* -1 (* x y)) (* -1 (* x (* y z)))) (pow z 2))
(/ (+ (* -1 (* x y)) (* z (- (* -1 (* x (* y z))) (* x y)))) (pow z 2))
(/ (+ (* -1 (* x y)) (* z (- (* z (- (* -1 (* x (* y z))) (* x y))) (* x y)))) (pow z 2))
(+ (* -1 y) (* -1 (* y z)))
(+ (* -1 y) (* z (- (* -1 (* y z)) y)))
(+ (* -1 y) (* z (- (* z (- (* -1 (* y z)) y)) y)))
-1
(- z 1)
(/ (+ y (* -1 (/ y z))) (pow z 2))
(/ (+ y (+ (* -1 (/ y z)) (/ y (pow z 2)))) (pow z 2))
(/ (- (+ y (+ (* -1 (/ y z)) (* -1 (/ y (pow z 3))))) (* -1 (/ y (pow z 2)))) (pow z 2))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (+ (* x y) (/ (* x y) (pow z 2)))) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) z)) (+ (* -1 (/ (* x y) (pow z 3))) (* x y))) (* -1 (/ (* x y) (pow z 2)))) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2))
(/ (+ (* -1 (/ (* x y) z)) (+ (* x y) (/ (* x y) (pow z 2)))) (pow z 2))
(/ (- (+ (* -1 (/ (* x y) z)) (+ (* -1 (/ (* x y) (pow z 3))) (* x y))) (* -1 (/ (* x y) (pow z 2)))) (pow z 2))
(/ (+ y (/ y (pow z 2))) (pow z 2))
(/ (- (+ y (/ y (pow z 4))) (* -1 (/ y (pow z 2)))) (pow z 2))
(/ (- (+ y (/ y (pow z 6))) (+ (* -1 (/ y (pow z 2))) (* -1 (/ y (pow z 4))))) (pow z 2))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ y (pow z 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 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 y) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (* -1 (/ (* x y) z))) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x y) (pow z 2))))) (pow z 3))
(/ (+ y (/ y z)) z)
(/ (- (+ y (/ y (pow z 2))) (* -1 (/ y z))) z)
(/ (- (+ y (/ y (pow z 3))) (+ (* -1 (/ y z)) (* -1 (/ y (pow z 2))))) z)
z
(* z (- 1 (/ 1 z)))
(/ (+ y (* -1 (/ (+ y (* -1 (/ y z))) z))) (pow z 2))
(/ (+ y (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) 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)) (* x y)) z)) (* x y)) (pow z 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* x y)) z)) (* x y)) (pow z 2))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 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 y) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* x y) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* x y) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* x y) z))) z)) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 y) (* -1 (/ y z))) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ y (/ y z)) z))) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ y (* -1 (/ (+ (* -1 y) (* -1 (/ y z))) z))) z))) z))
(* -1 (* z (- (/ 1 z) 1)))
Outputs
(/ (* x (* y (- z 1))) (* (pow z 2) (- (pow z 2) 1)))
(*.f64 (/.f64 x (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 y (/.f64 y z)) z))
(/ (* x (* y (- z 1))) (* z (- (pow z 2) 1)))
(*.f64 (/.f64 x (fma.f64 z z #s(literal -1 binary64))) (-.f64 y (/.f64 y z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(/ (* x y) (* z (+ z (pow z 2))))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(/ (* x y) (+ z (pow z 2)))
(*.f64 (/.f64 y (fma.f64 z z z)) x)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ (* x y) (pow z 2))
(/.f64 (*.f64 (/.f64 y z) x) z)
(* -1 (/ (* x y) z))
(*.f64 (neg.f64 x) (/.f64 y z))
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(/ (* x y) (* (pow z 2) (- z 1)))
(*.f64 (/.f64 x (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 y z) z))
(* -1 x)
(neg.f64 x)
(/ x (pow z 2))
(/.f64 (/.f64 x z) z)
(/ (* y (- z 1)) (* z (- (pow z 2) 1)))
(/.f64 (-.f64 y (/.f64 y z)) (fma.f64 z z #s(literal -1 binary64)))
(/ y (- (pow z 2) 1))
(/.f64 y (fma.f64 z z #s(literal -1 binary64)))
(/ y (* (pow z 2) (+ 1 z)))
(/.f64 (/.f64 y (fma.f64 z z z)) z)
(/ y z)
(/.f64 y z)
(/ y (- z 1))
(/.f64 y (-.f64 z #s(literal 1 binary64)))
(/ (+ y (* -1 (* y z))) z)
(-.f64 (/.f64 y z) y)
(/ (+ y (* z (+ (* -1 y) (* y z)))) z)
(fma.f64 (-.f64 z #s(literal 1 binary64)) y (/.f64 y z))
(/ (+ y (* z (+ (* -1 y) (* z (- (* -1 (* y z)) (* -1 y)))))) z)
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (fma.f64 (neg.f64 y) z y)) z)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))
(/ (+ (* x y) (* z (+ (* -1 (* x y)) (* x (* y z))))) (pow z 2))
(*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)))
(/ (+ (* x y) (* z (+ (* -1 (* x y)) (* z (- (* -1 (* x (* y z))) (* -1 (* x y))))))) (pow z 2))
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 y) z y) x)) (*.f64 z z))
(/ (+ (* -1 (* x (* y z))) (* x y)) z)
(*.f64 x (-.f64 (/.f64 y z) y))
(/ (+ (* x y) (* z (+ (* -1 (* x y)) (* x (* y z))))) z)
(fma.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) y) x (*.f64 (/.f64 y z) x))
(/ (+ (* x y) (* z (+ (* -1 (* x y)) (* z (- (* -1 (* x (* y z))) (* -1 (* x y))))))) z)
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 y) z y) x)) z)
(* -1 y)
(neg.f64 y)
(+ (* -1 y) (* -1 (* y (pow z 2))))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 y))
(+ (* -1 y) (* (pow z 2) (- (* -1 (* y (pow z 2))) y)))
(fma.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 y)) (*.f64 z z) (neg.f64 y))
(+ (* -1 y) (* (pow z 2) (- (* (pow z 2) (- (* -1 (* y (pow z 2))) y)) y)))
(-.f64 (neg.f64 y) (*.f64 (fma.f64 (fma.f64 (*.f64 z y) z y) (*.f64 z z) y) (*.f64 z z)))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 y) z y) x)) (*.f64 z z))
(/ y (pow z 2))
(/.f64 (/.f64 y 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 y (/.f64 (-.f64 y (/.f64 y z)) z))
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (pow z 2))
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (fma.f64 (neg.f64 y) z y)) (*.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z)
(fma.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) y) x (*.f64 (/.f64 y z) x))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z)
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 y) z y) x)) z)
(* -1 (/ (* x y) (pow z 2)))
(*.f64 (neg.f64 x) (/.f64 (/.f64 y z) z))
(/ (+ (* -1 (* x y)) (* -1 (* x (* y z)))) (pow z 2))
(/.f64 (/.f64 (*.f64 (neg.f64 x) (fma.f64 z y y)) z) z)
(/ (+ (* -1 (* x y)) (* z (- (* -1 (* x (* y z))) (* x y)))) (pow z 2))
(/.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (fma.f64 z y y)) z (*.f64 x y))) z) z)
(/ (+ (* -1 (* x y)) (* z (- (* z (- (* -1 (* x (* y z))) (* x y))) (* x y)))) (pow z 2))
(/.f64 (fma.f64 (*.f64 (neg.f64 z) (*.f64 x (fma.f64 z y y))) z (*.f64 (neg.f64 x) (fma.f64 z y y))) (*.f64 z z))
(+ (* -1 y) (* -1 (* y z)))
(*.f64 y (-.f64 #s(literal -1 binary64) z))
(+ (* -1 y) (* z (- (* -1 (* y z)) y)))
(fma.f64 (*.f64 y (-.f64 #s(literal -1 binary64) z)) z (neg.f64 y))
(+ (* -1 y) (* z (- (* z (- (* -1 (* y z)) y)) y)))
(-.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 z y y) z y) z)) y)
-1
#s(literal -1 binary64)
(- z 1)
(-.f64 z #s(literal 1 binary64))
(/ (+ y (* -1 (/ y z))) (pow z 2))
(/.f64 (/.f64 (-.f64 y (/.f64 y z)) z) z)
(/ (+ y (+ (* -1 (/ y z)) (/ y (pow z 2)))) (pow z 2))
(/.f64 (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z) z)
(/ (- (+ y (+ (* -1 (/ y z)) (* -1 (/ y (pow z 3))))) (* -1 (/ y (pow z 2)))) (pow z 2))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y) z) y) z) z)
(/ (* x y) (pow z 3))
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x)
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/.f64 (*.f64 x (-.f64 y (/.f64 y z))) (pow.f64 z #s(literal 3 binary64)))
(/ (+ (* -1 (/ (* x y) z)) (+ (* x y) (/ (* x y) (pow z 2)))) (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) z)) (+ (* -1 (/ (* x y) (pow z 3))) (* x y))) (* -1 (/ (* x y) (pow z 2)))) (pow z 3))
(/.f64 (fma.f64 x y (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) (pow.f64 z #s(literal 3 binary64)))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2))
(*.f64 x (/.f64 (/.f64 (-.f64 y (/.f64 y z)) z) z))
(/ (+ (* -1 (/ (* x y) z)) (+ (* x y) (/ (* x y) (pow z 2)))) (pow z 2))
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (*.f64 z z))
(/ (- (+ (* -1 (/ (* x y) z)) (+ (* -1 (/ (* x y) (pow z 3))) (* x y))) (* -1 (/ (* x y) (pow z 2)))) (pow z 2))
(/.f64 (/.f64 (fma.f64 x y (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) z) z)
(/ (+ y (/ y (pow z 2))) (pow z 2))
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 y z) z) y) z) z)
(/ (- (+ y (/ y (pow z 4))) (* -1 (/ y (pow z 2)))) (pow z 2))
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 y z) z) y) z) z) y) (*.f64 z z))
(/ (- (+ y (/ y (pow z 6))) (+ (* -1 (/ y (pow z 2))) (* -1 (/ y (pow z 4))))) (pow z 2))
(/.f64 (+.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 6 binary64))) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 y z) z) y) z) z)) y) (*.f64 z z))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/.f64 (fma.f64 x y (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) (pow.f64 z #s(literal 3 binary64)))
(/ 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 y (/.f64 (-.f64 y (/.f64 y z)) z)) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 3))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y) z) y) (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 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 (/.f64 (fma.f64 x y (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) z) z)
(/ (+ (* x y) (/ (* x y) z)) (pow z 3))
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (+.f64 (/.f64 x z) x))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (* -1 (/ (* 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)))
(/ (- (+ (* x y) (/ (* x y) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x y) (pow z 2))))) (pow z 3))
(/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 y z) y) z) y) z) y)) (pow.f64 z #s(literal 3 binary64)))
(/ (+ y (/ y z)) z)
(/.f64 (+.f64 (/.f64 y z) y) z)
(/ (- (+ y (/ y (pow z 2))) (* -1 (/ y z))) z)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 y z) y) z) y) z)
(/ (- (+ y (/ y (pow z 3))) (+ (* -1 (/ y z)) (* -1 (/ y (pow z 2))))) z)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 y z) y) z) y) z) y) z)
z
(* z (- 1 (/ 1 z)))
(*.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) z) z)
(/ (+ y (* -1 (/ (+ y (* -1 (/ y z))) z))) (pow z 2))
(/.f64 (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z) z)
(/ (+ y (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) z))) (pow z 2))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y) z) y) 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 y (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) (pow.f64 z #s(literal 3 binary64)))
(/ (+ (* -1 (/ (+ (* -1 (/ (* x y) z)) (* 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)) (* x y)) z)) (* x y)) (pow z 2))
(/.f64 (/.f64 (fma.f64 x y (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) 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 y (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 y) (/ y z)) (pow z 3)))
(/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ y z) y) z))) (pow z 3)))
(/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ y z) y) z)) y) z))) (pow z 3)))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y) z) y) (pow.f64 z #s(literal 3 binary64)))
(/ (+ (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2))
(/.f64 (*.f64 x (-.f64 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 (/.f64 (fma.f64 x y (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) z) z)
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* x y) z))) (pow z 3)))
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (+.f64 (/.f64 x z) x))
(* -1 (/ (+ (* -1 (* x y)) (* -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 (/ (+ (* -1 (* x y)) (* -1 (/ (* x y) z))) z)) (* x y)) z))) (pow z 3)))
(/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 y z) y) z) y) z) y)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 y) (* -1 (/ y z))) z))
(/.f64 (+.f64 (/.f64 y z) y) z)
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ y (/ y z)) z))) z))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 y z) y) z) y) z)
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ y (* -1 (/ (+ (* -1 y) (* -1 (/ y z))) z))) z))) z))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 y z) y) z) y) z) y) z)
(* -1 (* z (- (/ 1 z) 1)))
(*.f64 (neg.f64 z) (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))

rewrite189.0ms (2.5%)

Memory
30.1MiB live, 147.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044219
066224
1219200
21392200
010255188
Stop Event
iter limit
node limit
iter limit
Counts
22 → 843
Calls
Call 1
Inputs
(*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z))
(/.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) x) z)
(*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) x)
(/.f64 y (fma.f64 z z #s(literal -1 binary64)))
(*.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 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 y z) x)) z)
#s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 z))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 z)))
(*.f64 (/.f64 (neg.f64 x) z) y)
(/.f64 (neg.f64 x) z)
#s(approx (* (/ (/ y z) z) (/ x (+ -1 z))) (*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z)))
(*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z))
(/.f64 y (-.f64 z #s(literal 1 binary64)))
(-.f64 z #s(literal 1 binary64))
(neg.f64 x)
(/.f64 (/.f64 x z) z)
Outputs
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) z) (/.f64 y (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 z z #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) z) (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (-.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 z #s(literal 4 binary64))))
(*.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) z) y) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 z z #s(literal 1 binary64)))
(*.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) z) y) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))))) (-.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 z #s(literal 4 binary64))))
(*.f64 (neg.f64 (/.f64 y (fma.f64 z z (pow.f64 z #s(literal 4 binary64))))) (fma.f64 z z z))
(*.f64 (neg.f64 (/.f64 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 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) z) y) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 z z #s(literal 1 binary64)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal -1 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 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 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal -1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal -1 binary64) z)) (/.f64 (*.f64 z z) (-.f64 #s(literal -1 binary64) z)) (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 (*.f64 z z) (-.f64 #s(literal -1 binary64) z))))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal -1 binary64))) (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal -1 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal -1 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal -1 binary64)))))))
(/.f64 (-.f64 (fma.f64 z z (pow.f64 z #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) z)) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) z) (fma.f64 z z (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal -1 binary64))))
(/.f64 (-.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 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal -1 binary64)))
(/.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) z))
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) z))
(neg.f64 (-.f64 #s(literal 1 binary64) z))
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) #s(literal -1 binary64))
(fma.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 z z)))
(fma.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 z z) (*.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) z)))
(fma.f64 (neg.f64 z) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (neg.f64 z) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 z z) (/.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 z z) (/.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (neg.f64 z) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) z #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 z) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))
(fma.f64 z #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 z #s(literal -1 binary64) #s(literal -1 binary64))
(expm1.f64 (/.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) z)) (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) z)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal -1 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal -1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 (*.f64 z z) (-.f64 #s(literal -1 binary64) z)))
(-.f64 (neg.f64 z) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (neg.f64 z))
(-.f64 #s(literal -1 binary64) z)
(-.f64 z #s(literal 1 binary64))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 z z) (/.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 z z) (/.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 z z)))
(+.f64 (*.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 z z)) (*.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) z)))
(+.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) z)))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal -1 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal -1 binary64))))
(+.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (-.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)))
(+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) z)))
(+.f64 (neg.f64 z) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (neg.f64 z))
(+.f64 #s(literal -1 binary64) z)
(+.f64 z #s(literal -1 binary64))
(neg.f64 x)
(/.f64 (/.f64 x z) z)
(/.f64 (/.f64 (neg.f64 x) z) (neg.f64 z))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 z) z))
(/.f64 x (*.f64 z z))
(neg.f64 (/.f64 x (*.f64 (neg.f64 z) z)))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 z z)))
(neg.f64 (/.f64 (/.f64 (neg.f64 x) z) z))

eval128.0ms (1.7%)

Memory
-27.0MiB live, 187.6MiB allocated
Compiler

Compiled 20 173 to 2 615 computations (87% saved)

prune24.0ms (0.3%)

Memory
-12.4MiB live, 63.8MiB allocated
Pruning

18 alts after pruning (6 fresh and 12 done)

PrunedKeptTotal
New8133816
Fresh033
Picked235
Done099
Total81518833
Accuracy
100.0%
Counts
833 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.0%
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z)
96.7%
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
60.6%
(/.f64 (*.f64 (*.f64 #s(approx (/ y (+ (* z z) -1)) (neg.f64 y)) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) x) z)
67.9%
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) z)
83.9%
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
83.9%
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
67.5%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
71.8%
(/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 y z) x)) z)
74.9%
(/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 x z) y)) z)
96.6%
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
84.2%
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x)
67.1%
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
85.8%
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
74.5%
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
81.1%
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y)
74.1%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
29.1%
#s(approx (* (/ (/ y z) z) (/ x (+ -1 z))) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 x z)))
49.2%
#s(approx (* (/ (/ y z) z) (/ x (+ -1 z))) (*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z)))
Compiler

Compiled 616 to 288 computations (53.2% saved)

regimes43.0ms (0.6%)

Memory
21.1MiB live, 67.6MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y)
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x)
(/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 x z) y)) z)
(/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 y z) x)) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
#s(approx (* (/ (/ y z) z) (/ x (+ -1 z))) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 x z)))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 z)))
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z)
(/.f64 (*.f64 (*.f64 #s(approx (/ y (+ (* z z) -1)) (neg.f64 y)) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) x) z)
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) z)
#s(approx (* (/ (/ y z) z) (/ x (+ -1 z))) (*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z)))
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal -1 binary64) z)))
(/.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) x) z)
Outputs
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
Calls

6 calls:

11.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
6.0ms
y
6.0ms
x
6.0ms
z
6.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
96.7%1x
96.7%1y
96.7%1z
96.7%1(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
96.7%1(*.f64 x y)
96.7%1(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes55.0ms (0.7%)

Memory
-18.4MiB live, 20.6MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y)
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x)
(/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 x z) y)) z)
(/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 y z) x)) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
#s(approx (* (/ (/ y z) z) (/ x (+ -1 z))) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 x z)))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 z)))
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
Outputs
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
Calls

6 calls:

33.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
5.0ms
y
5.0ms
x
5.0ms
z
4.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
96.6%1x
96.6%1y
96.6%1z
96.6%1(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
96.6%1(*.f64 x y)
96.6%1(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes30.0ms (0.4%)

Memory
-7.6MiB live, 30.6MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y)
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x)
(/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 x z) y)) z)
(/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 y z) x)) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
#s(approx (* (/ (/ y z) z) (/ x (+ -1 z))) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 x z)))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 z)))
Outputs
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x)
(/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 x z) y)) z)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x)
Calls

6 calls:

10.0ms
y
4.0ms
x
4.0ms
z
4.0ms
(*.f64 x y)
3.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
90.3%2y
91.6%2x
95.9%3z
95.2%3(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
94.7%3(*.f64 x y)
95.9%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes5.0ms (0.1%)

Memory
11.0MiB live, 11.0MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y)
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x)
Outputs
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x)
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x)
Calls

2 calls:

3.0ms
z
2.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
95.4%3z
95.4%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes9.0ms (0.1%)

Memory
18.7MiB live, 18.7MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y)
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
Outputs
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y)
Calls

4 calls:

2.0ms
z
2.0ms
(*.f64 x y)
2.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
2.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
91.2%2(*.f64 x y)
92.2%2(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
92.5%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
92.5%3z
Compiler

Compiled 22 to 23 computations (-4.5% saved)

regimes16.0ms (0.2%)

Memory
-8.2MiB live, 28.3MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y)
Outputs
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y)
Calls

6 calls:

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

Compiled 24 to 29 computations (-20.8% saved)

regimes16.0ms (0.2%)

Memory
-20.0MiB live, 21.6MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
Outputs
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
Calls

6 calls:

7.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
2.0ms
y
2.0ms
z
2.0ms
x
2.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
80.8%3z
80.8%2y
80.8%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
79.0%2(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
80.7%2(*.f64 x y)
80.0%2x
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes10.0ms (0.1%)

Memory
22.7MiB live, 22.7MiB allocated
Accuracy

Total -7.5b remaining (-45.7%)

Threshold costs -7.5b (-45.7%)

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

6 calls:

2.0ms
z
2.0ms
y
2.0ms
x
1.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
1.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
74.5%1(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
74.5%1(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
74.5%1z
74.5%1x
74.5%1(*.f64 x y)
74.5%1y
Compiler

Compiled 24 to 29 computations (-20.8% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1701284875869539e-33
1.0880149428189455e-28
0.0ms
-0.06214462991467458
0.0
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch65.0ms (0.9%)

Memory
-10.6MiB live, 63.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
47.0ms
1.0121700387869467e-73
9.819369265775778e-64
16.0ms
-1.4226474347302005e-6
-5.655597000443723e-13
Samples
16.0ms304×0valid
Compiler

Compiled 679 to 490 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (64.3% of total)
ival-div: 2.0ms (21.4% of total)
ival-add: 1.0ms (10.7% 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
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.040923458802437e+237
2.153787634180818e+237
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch35.0ms (0.5%)

Memory
-11.5MiB live, 24.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
1.7888598739293996e+74
2.3927876614907525e+80
Samples
8.0ms144×0valid
Compiler

Compiled 320 to 249 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 3.0ms (69.1% of total)
ival-div: 1.0ms (23% of total)
ival-add: 1.0ms (23% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify53.0ms (0.7%)

Memory
-3.9MiB live, 42.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060231
197231
2215231
3674231
41535231
52379231
62895231
72895231
82895231
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 1461501637330903/730750818665451459101842416358141509827966271488 binary64)) (/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 x z) y)) z) (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x)))
(if (<=.f64 z #s(literal -1436010445571041/2475880078570760549798248448 binary64)) (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) (if (<=.f64 z #s(literal 907809979620559/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) (*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y) (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x)))
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 2100000000000000145536808796083872938156423967257005564621211269498147515882177945217276865517736029765888605123387503382993979458399226250845097815434976185625462845283540214994000741382788425431032264453563426799448069165789783401693184 binary64)) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) (*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y))
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y)
(if (<=.f64 y #s(literal 107999999999999996083641477707445172593855978094449038129873297793261217251328 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
Outputs
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 1461501637330903/730750818665451459101842416358141509827966271488 binary64)) (/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 x z) y)) z) (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x)))
(if (or (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (not (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 1461501637330903/730750818665451459101842416358141509827966271488 binary64)))) (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) (/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 x z) y)) z))
(if (<=.f64 z #s(literal -1436010445571041/2475880078570760549798248448 binary64)) (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) (if (<=.f64 z #s(literal 907809979620559/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) (*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y) (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x)))
(if (or (<=.f64 z #s(literal -1436010445571041/2475880078570760549798248448 binary64)) (not (<=.f64 z #s(literal 907809979620559/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)))) (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) (*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y))
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 2100000000000000145536808796083872938156423967257005564621211269498147515882177945217276865517736029765888605123387503382993979458399226250845097815434976185625462845283540214994000741382788425431032264453563426799448069165789783401693184 binary64)) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) (*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y))
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y)
(if (<=.f64 y #s(literal 107999999999999996083641477707445172593855978094449038129873297793261217251328 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)

soundness1.6s (21.9%)

Memory
27.2MiB live, 902.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
01424
15624
234324
3308724
0906022
02991540
110311309
238881179
083901149
062236
1207215
2857193
34522183
08208179
044219
066224
1219200
21392200
010255188
0191831
1657735
22287661
08477645
0211966
1738854
22805799
08555775
027124
045123
1145121
2804121
09235121
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 628 to 302 computations (51.9% saved)

preprocess180.0ms (2.4%)

Memory
-15.6MiB live, 264.7MiB allocated
Remove

(negabs x)

Compiler

Compiled 636 to 248 computations (61% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...