Numeric.SpecFunctions:choose from math-functions-0.1.5.2

Time bar (total: 5.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze40.0ms (0.7%)

Memory
-5.3MiB live, 75.6MiB 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
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
87.5%87.4%12.5%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample671.0ms (12.5%)

Memory
13.0MiB live, 1 125.5MiB allocated
Samples
424.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 215.0ms
ival-div: 78.0ms (36.3% of total)
ival-mult: 65.0ms (30.3% of total)
ival-add: 63.0ms (29.3% of total)
ival-true: 6.0ms (2.8% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

explain62.0ms (1.2%)

Memory
28.8MiB live, 102.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
430-2(6.118817630286914e-274 1.0388772488015679e-50 -3.602248628015786e-164)(/.f64 (*.f64 x (+.f64 y z)) z)
00-0-(+.f64 y z)
00-0-y
00-0-z
00-0-(*.f64 x (+.f64 y z))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 x (+.f64 y z)) z)o/n270
(*.f64 x (+.f64 y z))overflow44
/.f64(/.f64 (*.f64 x (+.f64 y z)) z)u/n140
(*.f64 x (+.f64 y z))underflow14
Confusion
Predicted +Predicted -
+412
-0213
Precision
1.0
Recall
0.9534883720930233
Confusion?
Predicted +Predicted MaybePredicted -
+4102
-00213
Precision?
1.0
Recall?
0.9534883720930233
Freqs
test
numberfreq
0215
141
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
28.0ms512×0valid
Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 3.0ms (28.5% of total)
ival-add: 3.0ms (28.5% of total)
ival-mult: 3.0ms (28.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess257.0ms (4.8%)

Memory
0.0MiB live, 162.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02772
110666
228464
395064
4275163
5527463
6602263
7612363
8621963
9634663
10647163
067
097
1197
2247
3257
4337
5357
6397
7467
8517
91607
105537
1123707
1237737
1339257
1440107
1541117
1642467
1744067
1860217
1970467
080416
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x (+.f64 y z)) z)
Outputs
(/.f64 (*.f64 x (+.f64 y z)) z)
(fma.f64 y (/.f64 x z) x)
Symmetry

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.2%
(/.f64 (*.f64 x (+.f64 y z)) z)
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify163.0ms (3%)

Memory
-11.3MiB live, 114.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y z)
cost-diff0
(*.f64 x (+.f64 y z))
cost-diff128
(/.f64 (*.f64 x (+.f64 y z)) z)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
0918
11918
22418
32518
43318
53518
63918
74618
85118
916018
1055318
11237018
12377318
13392518
14401018
15411118
16424618
17440618
18602118
19704618
0804117
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 x (+.f64 y z))
x
(+.f64 y z)
y
z
Outputs
(/.f64 (*.f64 x (+.f64 y z)) z)
(fma.f64 y (/.f64 x z) x)
(*.f64 x (+.f64 y z))
(*.f64 (+.f64 y z) x)
x
(+.f64 y z)
y
z

localize41.0ms (0.8%)

Memory
-1.8MiB live, 37.3MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 y z)
accuracy0.015625
(*.f64 x (+.f64 y z))
accuracy10.119925167385706
(/.f64 (*.f64 x (+.f64 y z)) z)
Samples
36.0ms256×0valid
Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (39.9% of total)
ival-mult: 2.0ms (39.9% of total)
ival-add: 1.0ms (19.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series57.0ms (1.1%)

Memory
-21.6MiB live, 17.7MiB allocated
Counts
3 → 22
Calls
Call 1
Inputs
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 x (+.f64 y z))
(+.f64 y z)
Outputs
(/ (* x (+ y z)) z)
(* x (+ y z))
x
(+ x (/ (* x y) z))
(* x z)
(+ (* x y) (* x z))
z
(+ y z)
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* x y)
(* y (+ x (/ (* x z) y)))
y
(* y (+ 1 (/ z y)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(/ (+ (* x y) (* x z)) z)
(* z (+ x (/ (* x y) z)))
(* z (+ 1 (/ y z)))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (- (* -1 (/ y z)) 1)))
Calls

9 calls:

TimeVariablePointExpression
51.0ms
y
@-inf
((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z))
1.0ms
x
@-inf
((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z))
1.0ms
x
@inf
((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z))
1.0ms
z
@-inf
((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z))
1.0ms
x
@0
((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z))

simplify250.0ms (4.7%)

Memory
-8.8MiB live, 114.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05094
117194
249094
3138694
4284094
5333894
6368594
7412394
8430994
9435294
10623894
11701894
12724094
13764094
14765294
15766194
0833089
Stop Event
iter limit
node limit
Counts
22 → 19
Calls
Call 1
Inputs
(/ (* x (+ y z)) z)
(* x (+ y z))
x
(+ x (/ (* x y) z))
(* x z)
(+ (* x y) (* x z))
z
(+ y z)
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* x y)
(* y (+ x (/ (* x z) y)))
y
(* y (+ 1 (/ z y)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(/ (+ (* x y) (* x z)) z)
(* z (+ x (/ (* x y) z)))
(* z (+ 1 (/ y z)))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (- (* -1 (/ y z)) 1)))
Outputs
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 y z) x x)
(* x z)
(*.f64 z x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
z
(+ y z)
(+.f64 z y)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(* y (+ (/ x y) (/ x z)))
(fma.f64 (/.f64 y z) x x)
(* x y)
(*.f64 y x)
(* y (+ x (/ (* x z) y)))
(*.f64 (+.f64 z y) x)
y
(* y (+ 1 (/ z y)))
(+.f64 z y)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(fma.f64 (/.f64 y z) x x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 z y) x)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 y z) x x)
(* z (+ x (/ (* x y) z)))
(*.f64 (+.f64 z y) x)
(* z (+ 1 (/ y z)))
(+.f64 z y)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 (+.f64 z y) x)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)

rewrite183.0ms (3.4%)

Memory
18.7MiB live, 171.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
14015
225615
3233815
0822715
Stop Event
iter limit
node limit
iter limit
Counts
3 → 379
Calls
Call 1
Inputs
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 x (+.f64 y z))
(+.f64 y z)
Outputs
(*.f64 (pow.f64 (/.f64 (/.f64 z x) (*.f64 (+.f64 z y) (-.f64 z y))) #s(literal -1 binary64)) (pow.f64 (-.f64 z y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 z x) (*.f64 (neg.f64 (+.f64 z y)) (-.f64 y z))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) y z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 z x) (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (-.f64 z y) z (*.f64 y y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 z y))
(*.f64 (pow.f64 (/.f64 z (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 y z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 z (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 z (*.f64 (*.f64 (+.f64 z y) x) (*.f64 x (-.f64 y z)))) #s(literal -1 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 z (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 z x) (fma.f64 (neg.f64 z) z (*.f64 y y))) #s(literal -1 binary64)) (pow.f64 (-.f64 y z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 z x) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 z y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 z) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 z) (+.f64 z y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (+.f64 z y) z))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 z y) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (+.f64 z y))) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 (/.f64 z (*.f64 (+.f64 z y) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 (+.f64 z y) x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (+.f64 z y) z))
(*.f64 (/.f64 (+.f64 z y) #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 (+.f64 z y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 z y)) z))
(*.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 z y) z))
(*.f64 (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 x z) (+.f64 z y))
(*.f64 (neg.f64 x) (*.f64 (+.f64 z y) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (+.f64 z y)) z))
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 z y) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y)))
(*.f64 (neg.f64 (+.f64 z y)) (/.f64 (neg.f64 x) z))
(*.f64 (neg.f64 (+.f64 z y)) (*.f64 x (/.f64 #s(literal -1 binary64) z)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)))
(*.f64 (/.f64 (+.f64 z y) z) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 z y) z) x)
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (*.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) (/.f64 x z)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z y) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (+.f64 z y) x))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 z y) x) z))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) (/.f64 x z)))
(*.f64 (*.f64 (neg.f64 x) (+.f64 z y)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 (*.f64 (+.f64 z y) x) z) #s(literal 1 binary64))
(*.f64 (*.f64 (+.f64 z y) x) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (+.f64 z y) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (+.f64 z y) (/.f64 x z))
(*.f64 x (/.f64 (+.f64 z y) z))
(pow.f64 (exp.f64 (log.f64 (/.f64 z (*.f64 (+.f64 z y) x)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 z (*.f64 (+.f64 z y) x)) (/.f64 z (*.f64 (+.f64 z y) x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 z (*.f64 (+.f64 z y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 z (*.f64 (+.f64 z y) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (+.f64 z y) x) z) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 0 binary64) z) (fma.f64 (*.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) (*.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) (*.f64 (/.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 x) (/.f64 (+.f64 z y) z))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) (*.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (/.f64 (+.f64 z y) z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z x) (pow.f64 z #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64))) (*.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 z x) (pow.f64 z #s(literal -1 binary64))) (*.f64 (*.f64 z x) (pow.f64 z #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64))) (*.f64 (*.f64 z x) (pow.f64 z #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z x) (pow.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) (pow.f64 z #s(literal -1 binary64))) (*.f64 (*.f64 z x) (pow.f64 z #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64))) (*.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 z x) (pow.f64 z #s(literal -1 binary64))) (*.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y x)) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y x)) (-.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z x)) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z x))) (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y x)) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z x)) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z x)) (-.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y x)) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y x))) (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z x)) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y x))))))
(/.f64 (neg.f64 (/.f64 (*.f64 (+.f64 z y) x) #s(literal 1 binary64))) (neg.f64 z))
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(-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))
(-.f64 (*.f64 y (/.f64 y (-.f64 y z))) (*.f64 z (/.f64 z (-.f64 y z))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 y (/.f64 y (-.f64 y z))) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))
(+.f64 z y)
(+.f64 y z)

eval82.0ms (1.5%)

Memory
16.9MiB live, 54.2MiB allocated
Compiler

Compiled 8 414 to 1 306 computations (84.5% saved)

prune16.0ms (0.3%)

Memory
-27.1MiB live, 20.7MiB allocated
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New3787385
Fresh000
Picked011
Done000
Total3788386
Accuracy
100.0%
Counts
386 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.2%
(/.f64 (*.f64 x (+.f64 y z)) z)
44.3%
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
42.1%
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
95.6%
(/.f64 x (/.f64 z (+.f64 z y)))
84.0%
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z y) x)))
42.5%
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (*.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) (/.f64 x z)))
82.4%
(*.f64 (/.f64 x z) (+.f64 z y))
95.5%
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
Compiler

Compiled 159 to 120 computations (24.5% saved)

simplify158.0ms (2.9%)

Memory
19.3MiB live, 93.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 z y)
cost-diff0
(/.f64 x z)
cost-diff128
(*.f64 (/.f64 x z) (+.f64 z y))
cost-diff0
(/.f64 y z)
cost-diff0
(fma.f64 (/.f64 y z) x x)
cost-diff0
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
cost-diff0
(*.f64 z x)
cost-diff0
#s(approx (* x (+ y z)) (*.f64 z x))
cost-diff0
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (* x (+ y z)) (*.f64 y x))
cost-diff0
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
cost-diff0
(+.f64 z y)
cost-diff0
(/.f64 z (+.f64 z y))
cost-diff512
(/.f64 x (/.f64 z (+.f64 z y)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
020111
032112
155112
268112
376108
477108
5194108
6648108
72791108
83863108
94750108
104831108
114916108
125021108
135143108
146833108
08147108
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 x (/.f64 z (+.f64 z y)))
x
(/.f64 z (+.f64 z y))
z
(+.f64 z y)
y
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
#s(approx (* x (+ y z)) (*.f64 y x))
(*.f64 y x)
y
x
z
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
#s(approx (* x (+ y z)) (*.f64 z x))
(*.f64 z x)
z
x
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(fma.f64 (/.f64 y z) x x)
(/.f64 y z)
y
z
x
(*.f64 (/.f64 x z) (+.f64 z y))
(/.f64 x z)
x
z
(+.f64 z y)
y
Outputs
(/.f64 x (/.f64 z (+.f64 z y)))
(fma.f64 (/.f64 y z) x x)
x
(/.f64 z (+.f64 z y))
(/.f64 z (+.f64 y z))
z
(+.f64 z y)
(+.f64 y z)
y
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
#s(approx (* x (+ y z)) (*.f64 y x))
(*.f64 y x)
y
x
z
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
#s(approx (* x (+ y z)) (*.f64 z x))
(*.f64 z x)
z
x
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(fma.f64 (/.f64 y z) x x)
(/.f64 y z)
y
z
x
(*.f64 (/.f64 x z) (+.f64 z y))
(fma.f64 (/.f64 y z) x x)
(/.f64 x z)
x
z
(+.f64 z y)
(+.f64 y z)
y

localize49.0ms (0.9%)

Memory
8.3MiB live, 46.0MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 x z)
accuracy0.0
(+.f64 z y)
accuracy11.254113208813775
(*.f64 (/.f64 x z) (+.f64 z y))
accuracy0.0
(/.f64 y z)
accuracy0.0
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
accuracy2.880360767478504
(fma.f64 (/.f64 y z) x x)
accuracy0.0
(*.f64 z x)
accuracy10.119925167385706
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
accuracy26.191774208451257
#s(approx (* x (+ y z)) (*.f64 z x))
accuracy0.0
(*.f64 y x)
accuracy10.119925167385706
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
accuracy32.4927501102989
#s(approx (* x (+ y z)) (*.f64 y x))
accuracy0.0
(+.f64 z y)
accuracy0.02734375
(/.f64 z (+.f64 z y))
accuracy2.8151546094624518
(/.f64 x (/.f64 z (+.f64 z y)))
Samples
38.0ms256×0valid
Compiler

Compiled 202 to 38 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 8.0ms (41.2% of total)
ival-mult: 7.0ms (36.1% of total)
ival-add: 4.0ms (20.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series63.0ms (1.2%)

Memory
-9.5MiB live, 36.9MiB allocated
Counts
14 → 44
Calls
Call 1
Inputs
(/.f64 x (/.f64 z (+.f64 z y)))
(/.f64 z (+.f64 z y))
(+.f64 z y)
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
#s(approx (* x (+ y z)) (*.f64 y x))
(*.f64 y x)
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
#s(approx (* x (+ y z)) (*.f64 z x))
(*.f64 z x)
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(fma.f64 (/.f64 y z) x x)
(/.f64 y z)
(*.f64 (/.f64 x z) (+.f64 z y))
(/.f64 x z)
Outputs
(/ (* x (+ y z)) z)
(* x (+ y z))
(* x y)
(* x z)
(* x (+ 1 (/ y z)))
(/ x z)
(* -1 (* x (- (* -1 (/ y z)) 1)))
x
(+ x (/ (* x y) z))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))))
z
(+ y z)
(+ (* x y) (* x z))
(/ y z)
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(/ z y)
(/ (+ z (* -1 (/ (pow z 2) y))) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y)
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y)
y
(* y (+ 1 (/ z y)))
(* y (+ x (/ (* x z) y)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(/ (+ (* x y) (* x z)) z)
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y)))
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z))
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ x (/ (* x y) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
Calls

9 calls:

TimeVariablePointExpression
48.0ms
y
@-inf
((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ x z) (+ z y)) (/ x z))
3.0ms
x
@inf
((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ x z) (+ z y)) (/ x z))
2.0ms
x
@-inf
((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ x z) (+ z y)) (/ x z))
2.0ms
z
@-inf
((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ x z) (+ z y)) (/ x z))
2.0ms
x
@0
((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ x z) (+ z y)) (/ x z))

simplify142.0ms (2.7%)

Memory
-6.3MiB live, 69.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158394
1497378
21328354
34937352
08431332
Stop Event
iter limit
node limit
Counts
44 → 41
Calls
Call 1
Inputs
(/ (* x (+ y z)) z)
(* x (+ y z))
(* x y)
(* x z)
(* x (+ 1 (/ y z)))
(/ x z)
(* -1 (* x (- (* -1 (/ y z)) 1)))
x
(+ x (/ (* x y) z))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))))
z
(+ y z)
(+ (* x y) (* x z))
(/ y z)
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(/ z y)
(/ (+ z (* -1 (/ (pow z 2) y))) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y)
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y)
y
(* y (+ 1 (/ z y)))
(* y (+ x (/ (* x z) y)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(/ (+ (* x y) (* x z)) z)
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y)))
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z))
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ x (/ (* x y) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
Outputs
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 x z) y x)
(* x (+ y z))
(*.f64 (+.f64 y z) x)
(* x y)
(*.f64 y x)
(* x z)
(*.f64 z x)
(* x (+ 1 (/ y z)))
(fma.f64 (/.f64 x z) y x)
(/ x z)
(/.f64 x z)
(* -1 (* x (- (* -1 (/ y z)) 1)))
(fma.f64 (/.f64 x z) y x)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z))))
(fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))))
(neg.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal -1 binary64)))
z
(+ y z)
(+.f64 y z)
(+ (* x y) (* x z))
(*.f64 (+.f64 y z) x)
(/ y z)
(/.f64 y z)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(* y (+ (/ x y) (/ x z)))
(fma.f64 (/.f64 x z) y x)
(/ z y)
(/.f64 z y)
(/ (+ z (* -1 (/ (pow z 2) y))) y)
(/.f64 (-.f64 z (*.f64 (/.f64 z y) z)) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y)
(/.f64 (fma.f64 (/.f64 z y) (fma.f64 (/.f64 z y) z (neg.f64 z)) z) y)
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y)
(/.f64 (-.f64 z (/.f64 (fma.f64 z z (/.f64 (-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal 3 binary64))) y)) y)) y)
y
(* y (+ 1 (/ z y)))
(+.f64 y z)
(* y (+ x (/ (* x z) y)))
(*.f64 (+.f64 y z) x)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(fma.f64 (/.f64 x z) y x)
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y))
(/.f64 (-.f64 z (*.f64 (/.f64 z y) z)) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y))
(/.f64 (fma.f64 (/.f64 z y) (fma.f64 (/.f64 z y) z (neg.f64 z)) z) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y))
(/.f64 (-.f64 z (/.f64 (fma.f64 z z (/.f64 (-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal 3 binary64))) y)) y)) y)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 y z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 y z) x)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 x z) y x)
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y)))
(/.f64 (-.f64 z (*.f64 (/.f64 z y) z)) y)
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) z (/.f64 (/.f64 (neg.f64 z) y) y)) z (/.f64 z y))
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (pow.f64 y #s(literal 4 binary64)))) z (/.f64 #s(literal -1 binary64) (*.f64 y y))) z (/.f64 #s(literal 1 binary64) y)) z)
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z))
(fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z)))
(neg.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(* z (+ 1 (/ y z)))
(+.f64 y z)
(* z (+ x (/ (* x y) z)))
(*.f64 (+.f64 y z) x)
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z)))
(fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z)))
(neg.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 y z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 (+.f64 y z) x)

rewrite226.0ms (4.2%)

Memory
9.1MiB live, 125.4MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02094
03295
112795
287791
0835991
Stop Event
iter limit
node limit
iter limit
Counts
14 → 1 599
Calls
Call 1
Inputs
(/.f64 x (/.f64 z (+.f64 z y)))
(/.f64 z (+.f64 z y))
(+.f64 z y)
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
#s(approx (* x (+ y z)) (*.f64 y x))
(*.f64 y x)
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
#s(approx (* x (+ y z)) (*.f64 z x))
(*.f64 z x)
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(fma.f64 (/.f64 y z) x x)
(/.f64 y z)
(*.f64 (/.f64 x z) (+.f64 z y))
(/.f64 x z)
Outputs
(*.f64 (/.f64 (*.f64 x (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x (neg.f64 x))) (-.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (/.f64 y z) x x))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 4 binary64)) (pow.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
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(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 y z) x x) (-.f64 z y)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z z (*.f64 y (+.f64 y z))))
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(/.f64 (neg.f64 x) (/.f64 (neg.f64 z) (+.f64 y z)))
(/.f64 (/.f64 x z) (pow.f64 (+.f64 y z) #s(literal -1 binary64)))
(/.f64 (fma.f64 (/.f64 y z) x x) #s(literal 1 binary64))
(/.f64 (*.f64 (+.f64 y z) x) z)
(/.f64 (+.f64 y z) (/.f64 z x))
(/.f64 x (/.f64 z (+.f64 y z)))
(neg.f64 (/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x (neg.f64 x)))) (fma.f64 (/.f64 x z) y (neg.f64 x))))
(neg.f64 (/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 z (+.f64 y z)) x)))
(neg.f64 (/.f64 (*.f64 x (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x (neg.f64 x))) (fma.f64 (neg.f64 y) (/.f64 x z) x)))
(neg.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x))))))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 y z) x x))))
(neg.f64 (*.f64 (+.f64 y z) (/.f64 (neg.f64 x) z)))
(neg.f64 (neg.f64 (fma.f64 (/.f64 y z) x x)))
(fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (/.f64 y z) x x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 x z) y (neg.f64 x)))))
(fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x (neg.f64 x)))) (fma.f64 (/.f64 y z) x x) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 x z) y (neg.f64 x)))))
(fma.f64 (/.f64 z (neg.f64 z)) (neg.f64 x) (*.f64 (*.f64 (/.f64 x z) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 z (neg.f64 z)) (neg.f64 x) (*.f64 (/.f64 x z) y))
(fma.f64 (*.f64 (*.f64 z x) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 x z) y) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 z x) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 x z) y))
(fma.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)) x)
(fma.f64 (*.f64 z (pow.f64 z #s(literal -1 binary64))) x (*.f64 (*.f64 (/.f64 x z) y) #s(literal 1 binary64)))
(fma.f64 (*.f64 z (pow.f64 z #s(literal -1 binary64))) x (*.f64 (/.f64 x z) y))
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x z) (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x z) x)
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 x z) (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 x z) x)
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) z) (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) z) x)
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 x) z) (*.f64 (*.f64 (/.f64 x z) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 x) z) (*.f64 (/.f64 x z) y))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) z) (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) z) x)
(fma.f64 (*.f64 (neg.f64 z) x) (/.f64 #s(literal -1 binary64) z) (*.f64 (*.f64 (/.f64 x z) y) #s(literal 1 binary64)))
(fma.f64 (*.f64 (neg.f64 z) x) (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 x z) y))
(fma.f64 (/.f64 (neg.f64 y) z) (neg.f64 x) (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (/.f64 (neg.f64 y) z) (neg.f64 x) x)
(fma.f64 (/.f64 (neg.f64 x) z) (neg.f64 y) (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (/.f64 (neg.f64 x) z) (neg.f64 y) x)
(fma.f64 (/.f64 (neg.f64 x) z) (neg.f64 z) (*.f64 (/.f64 x z) y))
(fma.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (*.f64 (/.f64 x z) y) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (/.f64 x z) y))
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (pow.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (pow.f64 y #s(literal -1 binary64))) x)
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y (pow.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y (pow.f64 x #s(literal -1 binary64))) x)
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 z (pow.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 (/.f64 x z) y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 z (pow.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 x z) y))
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z x) (*.f64 (*.f64 (/.f64 x z) y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z x) (*.f64 (/.f64 x z) y))
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y x) (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y x) x)
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) y) (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 (/.f64 x z) y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 x z) y))
(fma.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 x z) y (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 x z) y (neg.f64 x)))))
(fma.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) z) x) (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) z) x) x)
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 x) z) (*.f64 (neg.f64 z) (/.f64 (neg.f64 x) z)))
(fma.f64 (neg.f64 z) (/.f64 (neg.f64 x) z) (*.f64 (neg.f64 y) (/.f64 (neg.f64 x) z)))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) z) z) (*.f64 (*.f64 (/.f64 x z) y) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) z) z) (*.f64 (/.f64 x z) y))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) z) y) (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) z) y) x)
(fma.f64 (*.f64 (/.f64 x z) y) #s(literal 1 binary64) x)
(fma.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) x)
(fma.f64 (/.f64 x z) y (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (/.f64 x z) y x)
(fma.f64 (/.f64 x z) z (*.f64 (*.f64 (/.f64 x z) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 x z) z (*.f64 (/.f64 x z) y))
(fma.f64 (/.f64 y z) x (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (/.f64 y z) x x)
(fma.f64 (*.f64 z x) (pow.f64 z #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 x z) y) #s(literal 1 binary64)))
(fma.f64 (*.f64 z x) (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 x z) y))
(fma.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64)) x)
(fma.f64 y (/.f64 x z) (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 y (/.f64 x z) x)
(fma.f64 z (/.f64 x z) (*.f64 (*.f64 (/.f64 x z) y) #s(literal 1 binary64)))
(fma.f64 z (/.f64 x z) (*.f64 (/.f64 x z) y))
(fma.f64 x (*.f64 z (pow.f64 z #s(literal -1 binary64))) (*.f64 (*.f64 (/.f64 x z) y) #s(literal 1 binary64)))
(fma.f64 x (*.f64 z (pow.f64 z #s(literal -1 binary64))) (*.f64 (/.f64 x z) y))
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 x z) y) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 x z) y))
(fma.f64 x (/.f64 y z) (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 x (/.f64 y z) x)
(-.f64 (/.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) (+.f64 y z))) (neg.f64 (fma.f64 (/.f64 y z) x x)))
(-.f64 (/.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 z x)) (/.f64 (/.f64 (*.f64 y y) (-.f64 z y)) (/.f64 z x)))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 y z)) (/.f64 z x)) (/.f64 (/.f64 (*.f64 z z) (-.f64 y z)) (/.f64 z x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (neg.f64 (fma.f64 (/.f64 y z) x x)))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (/.f64 x z) y (neg.f64 x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (/.f64 y z) x x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z (+.f64 y z)) x)) #s(literal -1 binary64)))
(+.f64 (*.f64 (neg.f64 y) (/.f64 (neg.f64 x) z)) (*.f64 (neg.f64 z) (/.f64 (neg.f64 x) z)))
(+.f64 (*.f64 (neg.f64 z) (/.f64 (neg.f64 x) z)) (*.f64 (neg.f64 y) (/.f64 (neg.f64 x) z)))
(+.f64 (*.f64 (*.f64 (/.f64 x z) y) #s(literal 1 binary64)) x)
(+.f64 (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)) (*.f64 (/.f64 x z) y))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) y (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 x z) y (neg.f64 x)))))
(+.f64 (*.f64 (/.f64 x z) y) (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(+.f64 (*.f64 (/.f64 x z) y) x)
(+.f64 x (*.f64 (*.f64 (/.f64 x z) y) #s(literal 1 binary64)))
(+.f64 x (*.f64 (/.f64 x z) y))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) x)
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 x (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 z))
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) x))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z x))
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 x z)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z)))
(neg.f64 (/.f64 (neg.f64 x) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 x) z))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)))

eval311.0ms (5.8%)

Memory
-117.0MiB live, 137.7MiB allocated
Compiler

Compiled 16 680 to 2 095 computations (87.4% saved)

prune90.0ms (1.7%)

Memory
-29.1MiB live, 50.6MiB allocated
Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New8726878
Fresh202
Picked145
Done011
Total87511886
Accuracy
100.0%
Counts
886 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.1%
(fma.f64 (/.f64 x z) y x)
82.5%
(/.f64 (+.f64 y z) (/.f64 z x))
84.2%
(/.f64 (*.f64 x (+.f64 y z)) z)
44.3%
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
42.1%
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
95.6%
(/.f64 x (/.f64 z (+.f64 z y)))
42.3%
(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
54.5%
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
42.0%
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))))
95.5%
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
42.4%
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))
Compiler

Compiled 168 to 129 computations (23.2% saved)

simplify201.0ms (3.7%)

Memory
29.4MiB live, 149.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 z x)
cost-diff0
(+.f64 y z)
cost-diff512
(/.f64 (+.f64 y z) (/.f64 z x))
cost-diff0
(/.f64 z y)
cost-diff0
#s(approx (/ z (+ z y)) (/.f64 z y))
cost-diff0
(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
cost-diff0
(/.f64 x z)
cost-diff0
(*.f64 (/.f64 x z) y)
cost-diff0
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))
cost-diff0
#s(approx (/ z (+ z y)) #s(literal 1 binary64))
cost-diff0
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
cost-diff0
(/.f64 x z)
cost-diff0
(fma.f64 (/.f64 x z) y x)
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01996
02895
13995
25595
36495
46894
57594
67594
721894
879994
9277594
10323594
11371194
12376294
13380294
14384594
15475994
16602594
17757094
18789194
0802294
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 x z) y x)
(/.f64 x z)
x
z
y
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
x
#s(approx (/ z (+ z y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
x
#s(approx (/ z (+ z y)) (/.f64 z y))
(/.f64 z y)
z
y
(/.f64 (+.f64 y z) (/.f64 z x))
(+.f64 y z)
y
z
(/.f64 z x)
x
Outputs
(fma.f64 (/.f64 x z) y x)
(fma.f64 y (/.f64 x z) x)
(/.f64 x z)
x
z
y
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
x
#s(approx (/ z (+ z y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))
#s(approx (/ x (/ z (+ z y))) (*.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 x z)
x
z
y
(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
x
#s(approx (/ z (+ z y)) (/.f64 z y))
(/.f64 z y)
z
y
(/.f64 (+.f64 y z) (/.f64 z x))
(fma.f64 y (/.f64 x z) x)
(+.f64 y z)
y
z
(/.f64 z x)
x

localize82.0ms (1.5%)

Memory
-21.5MiB live, 55.5MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 z x)
accuracy0.0
(+.f64 y z)
accuracy11.184597760185246
(/.f64 (+.f64 y z) (/.f64 z x))
accuracy0.0
(/.f64 z y)
accuracy2.8151546094624518
(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
accuracy34.66257360889343
#s(approx (/ z (+ z y)) (/.f64 z y))
accuracy0.0
(/.f64 x z)
accuracy5.184266100340773
(*.f64 (/.f64 x z) y)
accuracy34.12127597077502
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))
accuracy2.8151546094624518
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
accuracy29.07336543085959
#s(approx (/ z (+ z y)) #s(literal 1 binary64))
accuracy0.0
(/.f64 x z)
accuracy3.796241049029027
(fma.f64 (/.f64 x z) y x)
Samples
72.0ms256×0valid
Compiler

Compiled 177 to 35 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-div: 55.0ms (91.6% of total)
ival-add: 3.0ms (5% of total)
ival-mult: 2.0ms (3.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.3%)

Memory
20.1MiB live, 20.1MiB allocated
Counts
12 → 36
Calls
Call 1
Inputs
(fma.f64 (/.f64 x z) y x)
(/.f64 x z)
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
#s(approx (/ z (+ z y)) #s(literal 1 binary64))
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
#s(approx (/ z (+ z y)) (/.f64 z y))
(/.f64 z y)
(/.f64 (+.f64 y z) (/.f64 z x))
(+.f64 y z)
(/.f64 z x)
Outputs
(* x (+ 1 (/ y z)))
(/ x z)
(/ (* x (+ y z)) z)
(/ (* x y) z)
(/ z x)
(* -1 (* x (- (* -1 (/ y z)) 1)))
x
(+ x (/ (* x y) z))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))))
(/ z y)
z
(+ y z)
(* y (+ (/ x y) (/ x z)))
(/ (+ z (* -1 (/ (pow z 2) y))) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y)
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y)
y
(* y (+ 1 (/ z y)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(/ (+ (* x y) (* x z)) z)
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y)))
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z))
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z)))
(* z (+ 1 (/ y z)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
Calls

9 calls:

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

simplify172.0ms (3.2%)

Memory
-2.7MiB live, 156.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146358
1438342
21119318
34230316
08487296
Stop Event
iter limit
node limit
Counts
36 → 33
Calls
Call 1
Inputs
(* x (+ 1 (/ y z)))
(/ x z)
(/ (* x (+ y z)) z)
(/ (* x y) z)
(/ z x)
(* -1 (* x (- (* -1 (/ y z)) 1)))
x
(+ x (/ (* x y) z))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))))
(/ z y)
z
(+ y z)
(* y (+ (/ x y) (/ x z)))
(/ (+ z (* -1 (/ (pow z 2) y))) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y)
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y)
y
(* y (+ 1 (/ z y)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(/ (+ (* x y) (* x z)) z)
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y)))
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z))
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z)))
(* z (+ 1 (/ y z)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
Outputs
(* x (+ 1 (/ y z)))
(fma.f64 (/.f64 x z) y x)
(/ x z)
(/.f64 x z)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 x z) y x)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(/ z x)
(/.f64 z x)
(* -1 (* x (- (* -1 (/ y z)) 1)))
(fma.f64 (/.f64 x z) y x)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z))))
(fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))))
(neg.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/ z y)
(/.f64 z y)
z
(+ y z)
(+.f64 y z)
(* y (+ (/ x y) (/ x z)))
(fma.f64 (/.f64 x z) y x)
(/ (+ z (* -1 (/ (pow z 2) y))) y)
(/.f64 (-.f64 z (*.f64 (/.f64 z y) z)) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y)
(/.f64 (fma.f64 (/.f64 z y) (fma.f64 (/.f64 z y) z (neg.f64 z)) z) y)
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y)
(/.f64 (-.f64 z (/.f64 (fma.f64 z z (/.f64 (-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal 3 binary64))) y)) y)) y)
y
(* y (+ 1 (/ z y)))
(+.f64 y z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(fma.f64 (/.f64 x z) y x)
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y))
(/.f64 (-.f64 z (*.f64 (/.f64 z y) z)) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y))
(/.f64 (fma.f64 (/.f64 z y) (fma.f64 (/.f64 z y) z (neg.f64 z)) z) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y))
(/.f64 (-.f64 z (/.f64 (fma.f64 z z (/.f64 (-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal 3 binary64))) y)) y)) y)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 y z)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 x z) y x)
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y)))
(/.f64 (-.f64 z (*.f64 (/.f64 z y) z)) y)
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (*.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) z) z (/.f64 (-.f64 z (*.f64 (/.f64 z y) z)) y))
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (pow.f64 y #s(literal 4 binary64)))) z (/.f64 #s(literal -1 binary64) (*.f64 y y))) z (/.f64 #s(literal 1 binary64) y)) z)
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z))
(fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z)))
(neg.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(* z (+ 1 (/ y z)))
(+.f64 y z)
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z)))
(fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z)))
(neg.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 y z)

rewrite200.0ms (3.7%)

Memory
-31.7MiB live, 171.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01979
02879
112179
285579
0841279
Stop Event
iter limit
node limit
iter limit
Counts
12 → 664
Calls
Call 1
Inputs
(fma.f64 (/.f64 x z) y x)
(/.f64 x z)
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
#s(approx (/ z (+ z y)) #s(literal 1 binary64))
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
#s(approx (/ z (+ z y)) (/.f64 z y))
(/.f64 z y)
(/.f64 (+.f64 y z) (/.f64 z x))
(+.f64 y z)
(/.f64 z x)
Outputs
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 y (/.f64 x z) x) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x (*.f64 y (/.f64 x z))) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)) (*.f64 (-.f64 x (*.f64 y (/.f64 x z))) x)))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 x (*.f64 y (/.f64 x z))) x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x (*.f64 y (/.f64 x z))) x) (-.f64 (*.f64 (-.f64 x (*.f64 y (/.f64 x z))) x) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)))) (fma.f64 y (/.f64 x z) x))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (/.f64 x z)))))
(*.f64 (pow.f64 (fma.f64 (/.f64 y z) x (neg.f64 x)) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (-.f64 x (*.f64 y (/.f64 x z))) x (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64))))
(*.f64 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (/.f64 y z) x)))
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 x (*.f64 y (/.f64 x z))) x (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))))))
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 y z) x (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (-.f64 x (*.f64 y (/.f64 x z))) x (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))) (/.f64 (fma.f64 y (/.f64 x z) x) (fma.f64 (-.f64 x (*.f64 y (/.f64 x z))) x (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (-.f64 x (*.f64 y (/.f64 x z))) x (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))) (*.f64 (fma.f64 y (/.f64 x z) x) (pow.f64 (fma.f64 (-.f64 x (*.f64 y (/.f64 x z))) x (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 x (*.f64 y (/.f64 x z))) x (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 x z) x))
(*.f64 (fma.f64 y (/.f64 x z) x) (/.f64 (fma.f64 (/.f64 y z) x (neg.f64 x)) (fma.f64 (/.f64 y z) x (neg.f64 x))))
(*.f64 (fma.f64 y (/.f64 x z) x) (*.f64 (fma.f64 (/.f64 y z) x (neg.f64 x)) (pow.f64 (fma.f64 (/.f64 y z) x (neg.f64 x)) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 x z) x)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (/.f64 y z) x (neg.f64 x)) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (/.f64 y z) x (neg.f64 x)) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 x (*.f64 y (/.f64 x z))) x (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 x (*.f64 y (/.f64 x z))) x (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 y (/.f64 x z)) x) #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 y z) x (neg.f64 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 x (*.f64 y (/.f64 x z))) x (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) x (neg.f64 x))) (/.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) x (neg.f64 x)))) (*.f64 (*.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x)))) (*.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x)))))) (+.f64 (/.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) x (neg.f64 x))) (*.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) x (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) x (neg.f64 x))) (/.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) x (neg.f64 x))) (fma.f64 (*.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x)))) (*.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x)))) (*.f64 (/.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) x (neg.f64 x))) (*.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y (/.f64 x z)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (neg.f64 x) (/.f64 y z) x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x (*.f64 y (/.f64 x z))) x (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))))))
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(fma.f64 #s(literal 1 binary64) y z)
(fma.f64 #s(literal 1 binary64) z y)
(fma.f64 y (/.f64 y (-.f64 y z)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))
(fma.f64 y #s(literal 1 binary64) z)
(fma.f64 z (/.f64 z (-.f64 z y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 z y)))))
(fma.f64 z #s(literal 1 binary64) y)
(-.f64 (/.f64 (*.f64 z (/.f64 z (-.f64 z y))) #s(literal 1 binary64)) (/.f64 (*.f64 y (/.f64 y (-.f64 z y))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 y (/.f64 y (-.f64 y z))) #s(literal 1 binary64)) (/.f64 (*.f64 z (/.f64 z (-.f64 y z))) #s(literal 1 binary64)))
(-.f64 (*.f64 z (/.f64 z (-.f64 z y))) (*.f64 y (/.f64 y (-.f64 z y))))
(-.f64 (*.f64 y (/.f64 y (-.f64 y z))) (*.f64 z (/.f64 z (-.f64 y z))))
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 y) z))
(+.f64 (*.f64 z (/.f64 z (-.f64 z y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 z y)))))
(+.f64 (*.f64 y (/.f64 y (-.f64 y z))) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))
(+.f64 y z)
(+.f64 z y)
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) z)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) z)
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 z) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) z)
(*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 z x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z x))
(*.f64 z (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 z (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (/.f64 z x) #s(literal 1 binary64))
(pow.f64 (/.f64 x z) #s(literal -1 binary64))
(/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(/.f64 (/.f64 (neg.f64 z) x) #s(literal -1 binary64))
(/.f64 (neg.f64 z) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (neg.f64 z) (neg.f64 x))
(/.f64 (/.f64 z x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 x z))
(/.f64 z x)
(neg.f64 (/.f64 (/.f64 (neg.f64 z) x) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 z) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (neg.f64 z) x))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal -1 binary64)))

eval91.0ms (1.7%)

Memory
35.6MiB live, 188.8MiB allocated
Compiler

Compiled 12 463 to 1 696 computations (86.4% saved)

prune15.0ms (0.3%)

Memory
14.1MiB live, 49.8MiB allocated
Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New7172719
Fresh011
Picked235
Done055
Total71911730
Accuracy
100.0%
Counts
730 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.1%
(fma.f64 (/.f64 x z) y x)
84.2%
(/.f64 (*.f64 x (+.f64 y z)) z)
44.3%
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
42.1%
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
95.6%
(/.f64 x (/.f64 z (+.f64 z y)))
54.5%
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
42.0%
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))))
95.5%
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
42.4%
#s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x)))
42.2%
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))
42.4%
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))
Compiler

Compiled 117 to 87 computations (25.6% saved)

simplify159.0ms (3%)

Memory
-10.8MiB live, 189.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (* x (+ y z)) (*.f64 y x))
cost-diff0
(/.f64 z #s(approx (* x (+ y z)) (*.f64 y x)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))))
cost-diff0
(/.f64 z x)
cost-diff0
(/.f64 y (/.f64 z x))
cost-diff0
#s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x)))
cost-diff-384
(*.f64 (/.f64 y z) x)
cost-diff0
(/.f64 y z)
cost-diff0
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01988
02688
14288
25986
36886
48186
58986
610186
723186
877686
9234586
10269786
11310086
12435986
13440486
14443786
15583786
16616586
17630486
0801484
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
x
#s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x)))
(/.f64 y (/.f64 z x))
y
(/.f64 z x)
z
x
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))))
#s(literal 1 binary64)
(/.f64 z #s(approx (* x (+ y z)) (*.f64 y x)))
z
#s(approx (* x (+ y z)) (*.f64 y x))
(*.f64 y x)
y
x
Outputs
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))
#s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x)))
(*.f64 (/.f64 y z) x)
(/.f64 y (/.f64 z x))
(/.f64 y z)
y
z
x
#s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x)))
(/.f64 y (/.f64 z x))
y
(/.f64 z x)
z
x
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))))
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
#s(literal 1 binary64)
(/.f64 z #s(approx (* x (+ y z)) (*.f64 y x)))
z
#s(approx (* x (+ y z)) (*.f64 y x))
(*.f64 y x)
y
x

localize58.0ms (1.1%)

Memory
-14.1MiB live, 109.3MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y x)
accuracy0.21484375
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))))
accuracy10.160704016754513
(/.f64 z #s(approx (* x (+ y z)) (*.f64 y x)))
accuracy32.4927501102989
#s(approx (* x (+ y z)) (*.f64 y x))
accuracy0.0
(/.f64 z x)
accuracy5.1077591539956
(/.f64 y (/.f64 z x))
accuracy34.12127597077502
#s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x)))
accuracy0.0
(/.f64 y z)
accuracy4.9187183893525965
(*.f64 (/.f64 y z) x)
accuracy34.12127597077502
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))
Samples
49.0ms256×0valid
Compiler

Compiled 154 to 37 computations (76% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-div: 30.0ms (78.1% of total)
ival-mult: 6.0ms (15.6% of total)
ival-add: 3.0ms (7.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.3%)

Memory
-7.7MiB live, 31.3MiB allocated
Counts
10 → 36
Calls
Call 1
Inputs
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))
(/.f64 y z)
(*.f64 (/.f64 y z) x)
#s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x)))
(/.f64 y (/.f64 z x))
(/.f64 z x)
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))))
(/.f64 z #s(approx (* x (+ y z)) (*.f64 y x)))
#s(approx (* x (+ y z)) (*.f64 y x))
(*.f64 y x)
Outputs
(/ (* x (+ y z)) z)
(/ (* x y) z)
(/ z x)
(/ z (* x (+ y z)))
(* x (+ y z))
(* x y)
x
(+ x (/ (* x y) z))
(/ y z)
(/ 1 x)
(+ (* -1 (/ y (* x z))) (/ 1 x))
(+ (* y (- (/ y (* x (pow z 2))) (/ 1 (* x z)))) (/ 1 x))
(+ (* y (- (* y (+ (* -1 (/ y (* x (pow z 3)))) (/ 1 (* x (pow z 2))))) (/ 1 (* x z)))) (/ 1 x))
(* x z)
(+ (* x y) (* x z))
(* y (+ (/ x y) (/ x z)))
(/ z (* x y))
(/ (+ (* -1 (/ (pow z 2) (* x y))) (/ z x)) y)
(/ (- (+ (/ z x) (/ (pow z 3) (* x (pow y 2)))) (/ (pow z 2) (* x y))) y)
(/ (- (+ (* -1 (/ (pow z 4) (* x (pow y 3)))) (/ z x)) (+ (* -1 (/ (pow z 3) (* x (pow y 2)))) (/ (pow z 2) (* x y)))) y)
(* y (+ x (/ (* x z) y)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (/ (+ (* -1 (/ z x)) (/ (pow z 2) (* x y))) y))
(* -1 (/ (+ (* -1 (/ z x)) (* -1 (/ (- (/ (pow z 3) (* x y)) (/ (pow z 2) x)) y))) y))
(* -1 (/ (+ (* -1 (/ z x)) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* x y)) (/ (pow z 3) x)) y)) (/ (pow z 2) x)) y))) y))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(/ (+ (* x y) (* x z)) z)
(* z (+ (* -1 (/ z (* x (pow y 2)))) (/ 1 (* x y))))
(* z (+ (* z (- (/ z (* x (pow y 3))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))
(* z (+ (* z (- (* z (+ (* -1 (/ z (* x (pow y 4)))) (/ 1 (* x (pow y 3))))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))
(- (+ (/ 1 x) (/ (pow y 2) (* x (pow z 2)))) (/ y (* x z)))
(- (+ (* -1 (/ (pow y 3) (* x (pow z 3)))) (/ 1 x)) (+ (* -1 (/ (pow y 2) (* x (pow z 2)))) (/ y (* x z))))
(* z (+ x (/ (* x y) z)))
(+ (* -1 (/ (- (* -1 (/ (pow y 2) (* x z))) (* -1 (/ y x))) z)) (/ 1 x))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) (* x z))) (* -1 (/ (pow y 2) x))) z)) (* -1 (/ y x))) z)) (/ 1 x))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
Calls

9 calls:

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

simplify156.0ms (2.9%)

Memory
-6.5MiB live, 235.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157474
1494458
21450413
34702405
08386390
Stop Event
iter limit
node limit
Counts
36 → 35
Calls
Call 1
Inputs
(/ (* x (+ y z)) z)
(/ (* x y) z)
(/ z x)
(/ z (* x (+ y z)))
(* x (+ y z))
(* x y)
x
(+ x (/ (* x y) z))
(/ y z)
(/ 1 x)
(+ (* -1 (/ y (* x z))) (/ 1 x))
(+ (* y (- (/ y (* x (pow z 2))) (/ 1 (* x z)))) (/ 1 x))
(+ (* y (- (* y (+ (* -1 (/ y (* x (pow z 3)))) (/ 1 (* x (pow z 2))))) (/ 1 (* x z)))) (/ 1 x))
(* x z)
(+ (* x y) (* x z))
(* y (+ (/ x y) (/ x z)))
(/ z (* x y))
(/ (+ (* -1 (/ (pow z 2) (* x y))) (/ z x)) y)
(/ (- (+ (/ z x) (/ (pow z 3) (* x (pow y 2)))) (/ (pow z 2) (* x y))) y)
(/ (- (+ (* -1 (/ (pow z 4) (* x (pow y 3)))) (/ z x)) (+ (* -1 (/ (pow z 3) (* x (pow y 2)))) (/ (pow z 2) (* x y)))) y)
(* y (+ x (/ (* x z) y)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (/ (+ (* -1 (/ z x)) (/ (pow z 2) (* x y))) y))
(* -1 (/ (+ (* -1 (/ z x)) (* -1 (/ (- (/ (pow z 3) (* x y)) (/ (pow z 2) x)) y))) y))
(* -1 (/ (+ (* -1 (/ z x)) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* x y)) (/ (pow z 3) x)) y)) (/ (pow z 2) x)) y))) y))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(/ (+ (* x y) (* x z)) z)
(* z (+ (* -1 (/ z (* x (pow y 2)))) (/ 1 (* x y))))
(* z (+ (* z (- (/ z (* x (pow y 3))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))
(* z (+ (* z (- (* z (+ (* -1 (/ z (* x (pow y 4)))) (/ 1 (* x (pow y 3))))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))
(- (+ (/ 1 x) (/ (pow y 2) (* x (pow z 2)))) (/ y (* x z)))
(- (+ (* -1 (/ (pow y 3) (* x (pow z 3)))) (/ 1 x)) (+ (* -1 (/ (pow y 2) (* x (pow z 2)))) (/ y (* x z))))
(* z (+ x (/ (* x y) z)))
(+ (* -1 (/ (- (* -1 (/ (pow y 2) (* x z))) (* -1 (/ y x))) z)) (/ 1 x))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) (* x z))) (* -1 (/ (pow y 2) x))) z)) (* -1 (/ y x))) z)) (/ 1 x))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
Outputs
(/ (* x (+ y z)) z)
(*.f64 (/.f64 (+.f64 y z) z) x)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ z x)
(/.f64 z x)
(/ z (* x (+ y z)))
(/.f64 (/.f64 z (+.f64 y z)) x)
(* x (+ y z))
(*.f64 (+.f64 y z) x)
(* x y)
(*.f64 y x)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(/ y z)
(/.f64 y z)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y (* x z))) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y z) x))
(+ (* y (- (/ y (* x (pow z 2))) (/ 1 (* x z)))) (/ 1 x))
(fma.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (+ (* -1 (/ y (* x (pow z 3)))) (/ 1 (* x (pow z 2))))) (/ 1 (* x z)))) (/ 1 x))
(fma.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal -1 binary64) (/.f64 y z)) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) x)))
(* x z)
(*.f64 z x)
(+ (* x y) (* x z))
(*.f64 (+.f64 y z) x)
(* y (+ (/ x y) (/ x z)))
(fma.f64 (/.f64 x z) y x)
(/ z (* x y))
(/.f64 (/.f64 z x) y)
(/ (+ (* -1 (/ (pow z 2) (* x y))) (/ z x)) y)
(/.f64 (*.f64 (/.f64 z x) (-.f64 #s(literal 1 binary64) (/.f64 z y))) y)
(/ (- (+ (/ z x) (/ (pow z 3) (* x (pow y 2)))) (/ (pow z 2) (* x y))) y)
(/.f64 (fma.f64 (/.f64 z y) (*.f64 (/.f64 z x) (-.f64 (/.f64 z y) #s(literal 1 binary64))) (/.f64 z x)) y)
(/ (- (+ (* -1 (/ (pow z 4) (* x (pow y 3)))) (/ z x)) (+ (* -1 (/ (pow z 3) (* x (pow y 2)))) (/ (pow z 2) (* x y)))) y)
(/.f64 (fma.f64 (/.f64 z y) (*.f64 (/.f64 z x) (-.f64 (/.f64 z y) #s(literal 1 binary64))) (-.f64 (/.f64 z x) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))))) y)
(* y (+ x (/ (* x z) y)))
(*.f64 (+.f64 y z) x)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(fma.f64 (/.f64 x z) y x)
(* -1 (/ (+ (* -1 (/ z x)) (/ (pow z 2) (* x y))) y))
(/.f64 (*.f64 (/.f64 z x) (-.f64 #s(literal 1 binary64) (/.f64 z y))) y)
(* -1 (/ (+ (* -1 (/ z x)) (* -1 (/ (- (/ (pow z 3) (* x y)) (/ (pow z 2) x)) y))) y))
(/.f64 (fma.f64 (/.f64 z y) (*.f64 (/.f64 z x) (-.f64 (/.f64 z y) #s(literal 1 binary64))) (/.f64 z x)) y)
(* -1 (/ (+ (* -1 (/ z x)) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* x y)) (/ (pow z 3) x)) y)) (/ (pow z 2) x)) y))) y))
(/.f64 (fma.f64 (/.f64 z y) (*.f64 (/.f64 z x) (-.f64 (/.f64 z y) #s(literal 1 binary64))) (-.f64 (/.f64 z x) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))))) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 y z) x)
(/ (+ (* x y) (* x z)) z)
(*.f64 (/.f64 (+.f64 y z) z) x)
(* z (+ (* -1 (/ z (* x (pow y 2)))) (/ 1 (* x y))))
(/.f64 (*.f64 (/.f64 z x) (-.f64 #s(literal 1 binary64) (/.f64 z y))) y)
(* z (+ (* z (- (/ z (* x (pow y 3))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))
(fma.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) y) (+.f64 #s(literal -1 binary64) (/.f64 z y))) (*.f64 z z) (/.f64 (/.f64 z x) y))
(* z (+ (* z (- (* z (+ (* -1 (/ z (* x (pow y 4)))) (/ 1 (* x (pow y 3))))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))
(fma.f64 (*.f64 (*.f64 (/.f64 z x) (fma.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) z) z (/.f64 (*.f64 (/.f64 z x) (-.f64 #s(literal 1 binary64) (/.f64 z y))) y))
(- (+ (/ 1 x) (/ (pow y 2) (* x (pow z 2)))) (/ y (* x z)))
(fma.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x))
(- (+ (* -1 (/ (pow y 3) (* x (pow z 3)))) (/ 1 x)) (+ (* -1 (/ (pow y 2) (* x (pow z 2)))) (/ y (* x z))))
(fma.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal -1 binary64) (/.f64 y z)) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) x)))
(* z (+ x (/ (* x y) z)))
(*.f64 (+.f64 y z) x)
(+ (* -1 (/ (- (* -1 (/ (pow y 2) (* x z))) (* -1 (/ y x))) z)) (/ 1 x))
(fma.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) (* x z))) (* -1 (/ (pow y 2) x))) z)) (* -1 (/ y x))) z)) (/ 1 x))
(fma.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal -1 binary64) (/.f64 y z)) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) x)))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 (+.f64 y z) x)

rewrite142.0ms (2.6%)

Memory
14.6MiB live, 253.9MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01978
02678
110676
265376
3636776
0802876
Stop Event
iter limit
node limit
iter limit
Counts
10 → 284
Calls
Call 1
Inputs
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))
(/.f64 y z)
(*.f64 (/.f64 y z) x)
#s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x)))
(/.f64 y (/.f64 z x))
(/.f64 z x)
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))))
(/.f64 z #s(approx (* x (+ y z)) (*.f64 y x)))
#s(approx (* x (+ y z)) (*.f64 y x))
(*.f64 y x)
Outputs
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y))
(*.f64 (pow.f64 z #s(literal -1 binary64)) y)
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z))
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 (/.f64 y z) #s(literal 1 binary64))
(*.f64 y (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 z))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 y) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y))
(/.f64 #s(literal 1 binary64) (/.f64 z y))
(/.f64 y z)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z)))
(neg.f64 (/.f64 (neg.f64 y) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 y) z))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 y z) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) z))
(*.f64 (*.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64)) x)
(*.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y x)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) z))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z)) (neg.f64 x))
(*.f64 (pow.f64 (/.f64 (/.f64 z x) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z x) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64)) x)
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 y (pow.f64 x #s(literal -1 binary64))) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 y (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 (neg.f64 x) z) (neg.f64 y))
(*.f64 (/.f64 (neg.f64 y) z) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 y) z) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x))
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (pow.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y x))
(*.f64 (/.f64 x z) y)
(*.f64 (neg.f64 y) (/.f64 (neg.f64 x) z))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 y) z))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) z) x))
(*.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) x))
(*.f64 (*.f64 (/.f64 y z) x) #s(literal 1 binary64))
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(pow.f64 (/.f64 (/.f64 z x) y) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 y z) x) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (neg.f64 y) x) #s(literal -1 binary64)) z)
(/.f64 (*.f64 (*.f64 y x) #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 z (neg.f64 x)))
(/.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) z)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y x)) z)
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 z (neg.f64 x)))
(/.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 y (pow.f64 x #s(literal -1 binary64))) z)
(/.f64 (neg.f64 (*.f64 (neg.f64 y) x)) z)
(/.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (neg.f64 y) x) (*.f64 #s(literal 1 binary64) (neg.f64 z)))
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 z))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(/.f64 (/.f64 x z) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 y) (/.f64 z (neg.f64 x)))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 z) y))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 z) y)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 z (neg.f64 x)) y))
(/.f64 (*.f64 y x) z)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) y))
(/.f64 (*.f64 (/.f64 y z) x) #s(literal 1 binary64))
(/.f64 (/.f64 y z) (pow.f64 x #s(literal -1 binary64)))
(/.f64 y (/.f64 z x))
(/.f64 x (/.f64 z y))
(neg.f64 (/.f64 (*.f64 (neg.f64 y) x) z))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 z x) y)))
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 z)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 y) z) x)))
(neg.f64 (*.f64 x (/.f64 (neg.f64 y) z)))
(neg.f64 (*.f64 (/.f64 (neg.f64 y) z) x))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z (neg.f64 x))) (*.f64 (/.f64 (neg.f64 y) z) x))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) z) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z x) y)) #s(literal -1 binary64)))
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 (/.f64 y z) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) z))
(*.f64 (*.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64)) x)
(*.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y x)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) z))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z)) (neg.f64 x))
(*.f64 (pow.f64 (/.f64 (/.f64 z x) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z x) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64)) x)
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 y (pow.f64 x #s(literal -1 binary64))) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 y (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 (neg.f64 x) z) (neg.f64 y))
(*.f64 (/.f64 (neg.f64 y) z) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 y) z) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x))
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (pow.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y x))
(*.f64 (/.f64 x z) y)
(*.f64 (neg.f64 y) (/.f64 (neg.f64 x) z))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 y) z))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) z) x))
(*.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) x))
(*.f64 (*.f64 (/.f64 y z) x) #s(literal 1 binary64))
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(pow.f64 (/.f64 (/.f64 z x) y) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 y z) x) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (neg.f64 y) x) #s(literal -1 binary64)) z)
(/.f64 (*.f64 (*.f64 y x) #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 z (neg.f64 x)))
(/.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) z)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y x)) z)
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 z (neg.f64 x)))
(/.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 y (pow.f64 x #s(literal -1 binary64))) z)
(/.f64 (neg.f64 (*.f64 (neg.f64 y) x)) z)
(/.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (neg.f64 y) x) (*.f64 #s(literal 1 binary64) (neg.f64 z)))
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 z))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(/.f64 (/.f64 x z) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 y) (/.f64 z (neg.f64 x)))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 z) y))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 z) y)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 z (neg.f64 x)) y))
(/.f64 (*.f64 y x) z)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) y))
(/.f64 (*.f64 (/.f64 y z) x) #s(literal 1 binary64))
(/.f64 (/.f64 y z) (pow.f64 x #s(literal -1 binary64)))
(/.f64 y (/.f64 z x))
(/.f64 x (/.f64 z y))
(neg.f64 (/.f64 (*.f64 (neg.f64 y) x) z))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 z x) y)))
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 z)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 y) z) x)))
(neg.f64 (*.f64 x (/.f64 (neg.f64 y) z)))
(neg.f64 (*.f64 (/.f64 (neg.f64 y) z) x))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z (neg.f64 x))) (*.f64 (/.f64 (neg.f64 y) z) x))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) z) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z x) y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z))
(*.f64 (pow.f64 x #s(literal -1 binary64)) z)
(*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 z (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 z x))
(*.f64 (/.f64 z x) #s(literal 1 binary64))
(*.f64 z (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 z (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (/.f64 x z) #s(literal -1 binary64))
(pow.f64 (/.f64 z x) #s(literal 1 binary64))
(/.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(/.f64 (neg.f64 z) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (neg.f64 z) (neg.f64 x))
(/.f64 (/.f64 z (neg.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z))
(/.f64 #s(literal 1 binary64) (/.f64 x z))
(/.f64 (/.f64 z x) #s(literal 1 binary64))
(/.f64 z x)
(neg.f64 (/.f64 (/.f64 z (neg.f64 x)) #s(literal 1 binary64)))
(neg.f64 (/.f64 z (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 z (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 z (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x))))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) #s(approx (* x (+ y z)) (*.f64 y x)))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) #s(approx (* x (+ y z)) (*.f64 y x)))
(*.f64 (pow.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x))))
(*.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) (neg.f64 z)) #s(literal -1 binary64))
(*.f64 (pow.f64 z #s(literal -1 binary64)) #s(approx (* x (+ y z)) (*.f64 y x)))
(*.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #s(literal 1 binary64))
(*.f64 (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x))) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) (neg.f64 z)))
(*.f64 #s(approx (* x (+ y z)) (*.f64 y x)) (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(approx (* x (+ y z)) (*.f64 y x)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z))
(pow.f64 (*.f64 (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #s(literal 1 binary64))
(pow.f64 (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))) #s(literal -1 binary64))
(/.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 #s(approx (* x (+ y z)) (*.f64 y x)) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) #s(approx (* x (+ y z)) (*.f64 y x))))
(/.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) (neg.f64 z)) #s(literal -1 binary64))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 #s(approx (* x (+ y z)) (*.f64 y x)) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x))) (*.f64 #s(literal 1 binary64) (neg.f64 z)))
(/.f64 (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x))) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) #s(approx (* x (+ y z)) (*.f64 y x))))
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))))
(neg.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) (neg.f64 z)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) (neg.f64 z)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) (neg.f64 z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* x (+ y z)) (*.f64 y x))))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 #s(literal -1 binary64) #s(approx (* x (+ y z)) (*.f64 y x))))
(*.f64 (pow.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* x (+ y z)) (*.f64 y x))) (neg.f64 z))
(*.f64 (pow.f64 #s(approx (* x (+ y z)) (*.f64 y x)) #s(literal -1 binary64)) z)
(*.f64 (neg.f64 z) (/.f64 (pow.f64 #s(approx (* x (+ y z)) (*.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (* x (+ y z)) (*.f64 y x))) #s(literal 1 binary64)))
(*.f64 (neg.f64 z) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* x (+ y z)) (*.f64 y x))) #s(literal 1 binary64)))
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) #s(approx (* x (+ y z)) (*.f64 y x))))
(*.f64 (/.f64 (neg.f64 z) #s(approx (* x (+ y z)) (*.f64 y x))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) #s(approx (* x (+ y z)) (*.f64 y x))))
(*.f64 (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))))
(*.f64 z (pow.f64 #s(approx (* x (+ y z)) (*.f64 y x)) #s(literal -1 binary64)))
(pow.f64 (*.f64 (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x)))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #s(literal 1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #s(literal -1 binary64))
(pow.f64 (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))) #s(literal 1 binary64))
(/.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x))))
(/.f64 (/.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x))))
(/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x))))
(/.f64 (pow.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #s(literal 1/2 binary64)))
(/.f64 (pow.f64 #s(approx (* x (+ y z)) (*.f64 y x)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(/.f64 (neg.f64 z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x))))
(/.f64 (/.f64 (neg.f64 z) #s(approx (* x (+ y z)) (*.f64 y x))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) (neg.f64 z)))
(/.f64 (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z))
(/.f64 z #s(approx (* x (+ y z)) (*.f64 y x)))
(neg.f64 (/.f64 (neg.f64 z) #s(approx (* x (+ y z)) (*.f64 y x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x)))) (/.f64 (neg.f64 z) #s(approx (* x (+ y z)) (*.f64 y x))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) #s(approx (* x (+ y z)) (*.f64 y x))))
(exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x)))))
(*.f64 (pow.f64 #s(approx (* x (+ y z)) (*.f64 y x)) #s(literal 1/2 binary64)) (pow.f64 #s(approx (* x (+ y z)) (*.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x))))
(*.f64 #s(approx (* x (+ y z)) (*.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (* x (+ y z)) (*.f64 y x)))
(pow.f64 (pow.f64 #s(approx (* x (+ y z)) (*.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (* x (+ y z)) (*.f64 y x)) #s(literal 1 binary64))
#s(approx (* x (+ y z)) (*.f64 y x))
(/.f64 (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x))) #s(literal -1 binary64))
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* x (+ y z)) (*.f64 y x)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x))))
(exp.f64 (*.f64 (log.f64 #s(approx (* x (+ y z)) (*.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 #s(approx (* x (+ y z)) (*.f64 y x)))) #s(literal -1 binary64)))
(*.f64 y x)
(*.f64 x y)

eval27.0ms (0.5%)

Memory
-17.8MiB live, 66.4MiB allocated
Compiler

Compiled 3 873 to 660 computations (83% saved)

prune8.0ms (0.2%)

Memory
29.3MiB live, 29.3MiB allocated
Pruning

11 alts after pruning (0 fresh and 11 done)

PrunedKeptTotal
New2330233
Fresh000
Picked033
Done088
Total23311244
Accuracy
100.0%
Counts
244 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.1%
(fma.f64 (/.f64 x z) y x)
84.2%
(/.f64 (*.f64 x (+.f64 y z)) z)
44.3%
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
42.1%
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
95.6%
(/.f64 x (/.f64 z (+.f64 z y)))
54.5%
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
42.0%
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))))
95.5%
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
42.4%
#s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x)))
42.2%
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))
42.4%
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))
Compiler

Compiled 285 to 141 computations (50.5% saved)

regimes23.0ms (0.4%)

Memory
-24.9MiB live, 54.0MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(fma.f64 (/.f64 x z) y x)
(*.f64 (/.f64 x z) (+.f64 z y))
(/.f64 (*.f64 x (+.f64 y z)) z)
#s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x)))
(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
(/.f64 x (/.f64 z (+.f64 z y)))
(/.f64 (+.f64 y z) (/.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z y) x)))
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (*.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) (/.f64 x z)))
Outputs
(fma.f64 (/.f64 x z) y x)
(/.f64 x (/.f64 z (+.f64 z y)))
Calls

4 calls:

6.0ms
x
6.0ms
(/.f64 (*.f64 x (+.f64 y z)) z)
5.0ms
z
5.0ms
y
Results
AccuracySegmentsBranch
97.8%2x
95.6%1y
95.6%1z
97.7%2(/.f64 (*.f64 x (+.f64 y z)) z)
Compiler

Compiled 10 to 15 computations (-50% saved)

regimes8.0ms (0.1%)

Memory
21.2MiB live, 21.2MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(fma.f64 (/.f64 x z) y x)
(*.f64 (/.f64 x z) (+.f64 z y))
(/.f64 (*.f64 x (+.f64 y z)) z)
#s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x)))
(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
Outputs
(fma.f64 (/.f64 x z) y x)
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
Calls

2 calls:

4.0ms
x
4.0ms
(/.f64 (*.f64 x (+.f64 y z)) z)
Results
AccuracySegmentsBranch
97.7%2(/.f64 (*.f64 x (+.f64 y z)) z)
97.7%2x
Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes6.0ms (0.1%)

Memory
-24.3MiB live, 15.0MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
Outputs
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
Calls

2 calls:

3.0ms
x
2.0ms
(/.f64 (*.f64 x (+.f64 y z)) z)
Results
AccuracySegmentsBranch
95.5%1x
97.5%2(/.f64 (*.f64 x (+.f64 y z)) z)
Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes9.0ms (0.2%)

Memory
26.1MiB live, 26.1MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x))
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
Outputs
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
Calls

4 calls:

2.0ms
y
2.0ms
z
2.0ms
x
2.0ms
(/.f64 (*.f64 x (+.f64 y z)) z)
Results
AccuracySegmentsBranch
57.5%2x
76.0%3y
77.7%3z
74.5%2(/.f64 (*.f64 x (+.f64 y z)) z)
Compiler

Compiled 10 to 15 computations (-50% saved)

regimes6.0ms (0.1%)

Memory
-27.1MiB live, 15.4MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
Outputs
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
Calls

4 calls:

2.0ms
x
1.0ms
(/.f64 (*.f64 x (+.f64 y z)) z)
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
54.5%1x
54.5%1y
54.5%1(/.f64 (*.f64 x (+.f64 y z)) z)
54.5%1z
Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch9.0ms (0.2%)

Memory
21.8MiB live, 21.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
6.898552003422478e-227
4.483528873454293e-225
Samples
5.0ms112×0valid
Compiler

Compiled 101 to 103 computations (-2% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (46.4% of total)
ival-add: 1.0ms (46.4% of total)
ival-mult: 1.0ms (46.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-9.217489323691886e+80
-1.198701100078918e+62
Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-9.217489323691886e+80
-1.198701100078918e+62
Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch19.0ms (0.4%)

Memory
2.2MiB live, 41.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
6.0ms
1.0819872018908476e-39
2.835319535874668e-39
11.0ms
-1.368992101648628e+33
-3.817315073867505e+29
Samples
10.0ms208×0valid
Compiler

Compiled 296 to 259 computations (12.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 3.0ms (53.7% of total)
ival-div: 1.0ms (17.9% of total)
ival-mult: 1.0ms (17.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify69.0ms (1.3%)

Memory
-6.0MiB live, 71.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038124
156124
269124
371124
475124
582124
685124
7204124
8658124
92823124
103898124
114783124
124865124
134950124
145055124
155176124
166834124
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 364657039298117/104187725513747723032497684230019653080386848786186065006191528308813081840900501117522378138618035792858279853022394381967012525845615079380677438317669219470236837179906477475985598217372094136390078377123228155963917938085569707674435584 binary64)) (fma.f64 (/.f64 x z) y x) (/.f64 x (/.f64 z (+.f64 z y))))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 y z)) z) #s(literal -499999999999999960640939947832891370967751624529591925904999112061532074214948864 binary64)) (fma.f64 (/.f64 x z) y x) #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 y z)) z) #s(literal -499999999999999960640939947832891370967751624529591925904999112061532074214948864 binary64)) #s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y)) #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)))
(if (<=.f64 z #s(literal -1079999999999999998957396688896 binary64)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) (if (<=.f64 z #s(literal 6129982163463555/3064991081731777716716694054300618367237478244367204352 binary64)) #s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))))
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
Outputs
(if (<=.f64 x #s(literal 364657039298117/104187725513747723032497684230019653080386848786186065006191528308813081840900501117522378138618035792858279853022394381967012525845615079380677438317669219470236837179906477475985598217372094136390078377123228155963917938085569707674435584 binary64)) (fma.f64 (/.f64 x z) y x) (/.f64 x (/.f64 z (+.f64 z y))))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 y z)) z) #s(literal -499999999999999960640939947832891370967751624529591925904999112061532074214948864 binary64)) (fma.f64 (/.f64 x z) y x) #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 y z)) z) #s(literal -499999999999999960640939947832891370967751624529591925904999112061532074214948864 binary64)) #s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y)) #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 y z)) z) #s(literal -499999999999999960640939947832891370967751624529591925904999112061532074214948864 binary64)) #s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y)) #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)))
(if (<=.f64 z #s(literal -1079999999999999998957396688896 binary64)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) (if (<=.f64 z #s(literal 6129982163463555/3064991081731777716716694054300618367237478244367204352 binary64)) #s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))))
(if (or (<=.f64 z #s(literal -1079999999999999998957396688896 binary64)) (not (<=.f64 z #s(literal 6129982163463555/3064991081731777716716694054300618367237478244367204352 binary64)))) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) #s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y)))
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))

soundness907.0ms (16.9%)

Memory
-2.5MiB live, 516.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
14015
225615
3233815
0822715
0158394
1497378
21328354
34937352
08431332
05094
117194
249094
3138694
4284094
5333894
6368594
7412394
8430994
9435294
10623894
11701894
12724094
13764094
14765294
15766194
0833089
02094
03295
112795
287791
0835991
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 313 to 157 computations (49.8% saved)

preprocess113.0ms (2.1%)

Memory
8.2MiB live, 116.4MiB allocated
Compiler

Compiled 310 to 122 computations (60.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...