Numeric.SpecFunctions:choose from math-functions-0.1.5.2

Time bar (total: 6.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze52.0ms (0.8%)

Memory
2.1MiB live, 41.4MiB 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)

sample832.0ms (12.3%)

Memory
-22.6MiB live, 1 054.5MiB allocated
Samples
514.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 245.0ms
ival-mult: 99.0ms (40.4% of total)
ival-add: 78.0ms (31.8% of total)
ival-div: 58.0ms (23.7% of total)
ival-true: 6.0ms (2.4% of total)
ival-assert: 4.0ms (1.6% of total)
Bogosity

explain66.0ms (1%)

Memory
16.7MiB live, 55.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
400-1(1.9315798618705139e-283 5.266614883653183e-39 6.53755146156024e-111)(/.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/n300
(*.f64 x (+.f64 y z))overflow56
/.f64(/.f64 (*.f64 x (+.f64 y z)) z)u/n90
(*.f64 x (+.f64 y z))underflow9
Confusion
Predicted +Predicted -
+391
-0216
Precision
1.0
Recall
0.975
Confusion?
Predicted +Predicted MaybePredicted -
+3901
-00216
Precision?
1.0
Recall?
0.975
Freqs
test
numberfreq
0217
139
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
37.0ms512×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 17.0ms (71.9% of total)
ival-add: 3.0ms (12.7% of total)
ival-mult: 3.0ms (12.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess267.0ms (4%)

Memory
8.7MiB live, 123.6MiB 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
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.3%
(/.f64 (*.f64 x (+.f64 y z)) z)
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify142.0ms (2.1%)

Memory
12.1MiB live, 82.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y z)
cost-diff0
(*.f64 x (+.f64 y z))
cost-diff1
(/.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

localize71.0ms (1.1%)

Memory
-10.8MiB live, 43.1MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 y z)
accuracy0.0078125
(*.f64 x (+.f64 y z))
accuracy9.438150428585962
(/.f64 (*.f64 x (+.f64 y z)) z)
Samples
47.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-div: 37.0ms (91.2% of total)
ival-mult: 2.0ms (4.9% of total)
ival-add: 1.0ms (2.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series26.0ms (0.4%)

Memory
-24.7MiB live, 13.3MiB 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
20.0ms
y
@inf
((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z))
1.0ms
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))

simplify219.0ms (3.2%)

Memory
-3.0MiB live, 118.0MiB 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)

rewrite216.0ms (3.2%)

Memory
40.4MiB live, 233.5MiB 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)

eval105.0ms (1.6%)

Memory
-27.5MiB live, 48.2MiB allocated
Compiler

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

prune41.0ms (0.6%)

Memory
-11.2MiB live, 34.3MiB allocated
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New37411385
Fresh000
Picked011
Done000
Total37412386
Accuracy
100.0%
Counts
386 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.2%
(/.f64 (fma.f64 z x (*.f64 y x)) z)
84.0%
(/.f64 (fma.f64 y x (*.f64 z x)) z)
51.1%
(/.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) x) (*.f64 (-.f64 z y) z))
85.3%
(/.f64 (*.f64 x (+.f64 y z)) z)
37.6%
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
49.5%
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
95.4%
(/.f64 x (/.f64 z (+.f64 z y)))
85.1%
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z y) x)))
82.5%
(*.f64 (pow.f64 (/.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 z y))
83.5%
(*.f64 (/.f64 x z) (+.f64 z y))
85.1%
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y)))
95.4%
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
Compiler

Compiled 229 to 176 computations (23.1% saved)

simplify235.0ms (3.5%)

Memory
37.5MiB live, 196.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) (+.f64 z y))
cost-diff0
(/.f64 #s(literal -1 binary64) z)
cost-diff4
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y)))
cost-diff0
(*.f64 y x)
cost-diff1
(fma.f64 z x (*.f64 y x))
cost-diff1
(/.f64 (fma.f64 z x (*.f64 y x)) z)
cost-diff0
(+.f64 z y)
cost-diff0
(/.f64 x z)
cost-diff1
(*.f64 (/.f64 x z) (+.f64 z y))
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 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))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
022116
037108
176108
2167108
3409107
4934107
51949107
64148107
75132107
86100107
96392107
106761107
116933107
08119107
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#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 #s(approx (* x (+ y z)) (*.f64 y x)) z)
#s(approx (* x (+ y z)) (*.f64 y x))
(*.f64 y x)
y
x
z
(*.f64 (/.f64 x z) (+.f64 z y))
(/.f64 x z)
x
z
(+.f64 z y)
y
(/.f64 (fma.f64 z x (*.f64 y x)) z)
(fma.f64 z x (*.f64 y x))
z
x
(*.f64 y x)
y
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y)))
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
(*.f64 (neg.f64 x) (+.f64 z y))
(neg.f64 x)
x
(+.f64 z y)
y
Outputs
#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 #s(approx (* x (+ y z)) (*.f64 y x)) z)
#s(approx (* x (+ y z)) (*.f64 y x))
(*.f64 y x)
y
x
z
(*.f64 (/.f64 x z) (+.f64 z y))
(fma.f64 (/.f64 y z) x x)
(/.f64 x z)
x
z
(+.f64 z y)
y
(/.f64 (fma.f64 z x (*.f64 y x)) z)
(fma.f64 (/.f64 y z) x x)
(fma.f64 z x (*.f64 y x))
(*.f64 (+.f64 z y) x)
z
x
(*.f64 y x)
y
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y)))
(fma.f64 (/.f64 y z) x x)
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
(*.f64 (neg.f64 x) (+.f64 z y))
(neg.f64 x)
x
(+.f64 z y)
y

localize137.0ms (2%)

Memory
-26.6MiB live, 87.0MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 z y)
accuracy0.0
(neg.f64 x)
accuracy0.0078125
(*.f64 (neg.f64 x) (+.f64 z y))
accuracy9.516275428585962
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y)))
accuracy0.0
(*.f64 y x)
accuracy0.5156194952111204
(fma.f64 z x (*.f64 y x))
accuracy9.438150428585962
(/.f64 (fma.f64 z x (*.f64 y x)) z)
accuracy0.0
(/.f64 x z)
accuracy0.0
(+.f64 z y)
accuracy10.56420977098273
(*.f64 (/.f64 x z) (+.f64 z y))
accuracy0.0
(*.f64 y x)
accuracy9.438150428585962
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
accuracy26.862265978740403
#s(approx (* x (+ y z)) (*.f64 y x))
accuracy0.0
(/.f64 y z)
accuracy0.0
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
accuracy2.917286943084445
(fma.f64 (/.f64 y z) x x)
Samples
73.0ms256×0valid
Compiler

Compiled 106 to 23 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-div: 41.0ms (70.4% of total)
ival-mult: 10.0ms (17.2% of total)
ival-add: 5.0ms (8.6% of total)
ival-neg: 1.0ms (1.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series56.0ms (0.8%)

Memory
-15.4MiB live, 40.5MiB allocated
Counts
15 → 38
Calls
Call 1
Inputs
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(fma.f64 (/.f64 y z) x x)
(/.f64 y z)
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
#s(approx (* x (+ y z)) (*.f64 y x))
(*.f64 y x)
(*.f64 (/.f64 x z) (+.f64 z y))
(/.f64 x z)
(+.f64 z y)
(/.f64 (fma.f64 z x (*.f64 y x)) z)
(fma.f64 z x (*.f64 y x))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y)))
(/.f64 #s(literal -1 binary64) z)
(*.f64 (neg.f64 x) (+.f64 z y))
(neg.f64 x)
Outputs
(/ (* x (+ y z)) z)
(* x (+ 1 (/ y z)))
(* x (+ y z))
(* x y)
(/ x z)
(* -1 (* x (+ y z)))
(* -1 x)
(* -1 (* x (- (* -1 (/ y z)) 1)))
(* -1 (/ (* x (+ (* -1 y) (* -1 z))) z))
(* -1 (* x (+ (* -1 y) (* -1 z))))
x
(+ x (/ (* x y) z))
(/ y z)
(* x z)
(+ (* x y) (* x z))
z
(+ y z)
(* -1 (* x z))
(+ (* -1 (* x y)) (* -1 (* x z)))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ x (/ (* x z) y)))
y
(* y (+ 1 (/ z y)))
(* -1 (* x y))
(* y (+ (* -1 x) (* -1 (/ (* x z) y))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (+ x (/ (* x z) y))))
(/ (+ (* x y) (* x z)) z)
(/ -1 z)
(* z (+ x (/ (* x y) z)))
(* z (+ 1 (/ y z)))
(* z (+ (* -1 x) (* -1 (/ (* x y) z))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (+ x (/ (* x y) z))))
Calls

9 calls:

TimeVariablePointExpression
40.0ms
z
@-inf
((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (* (/ x z) (+ z y)) (/ x z) (+ z y) (/ (+ (* z x) (* y x)) z) (+ (* z x) (* y x)) (* (/ -1 z) (* (neg x) (+ z y))) (/ -1 z) (* (neg x) (+ z y)) (neg x))
3.0ms
x
@inf
((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (* (/ x z) (+ z y)) (/ x z) (+ z y) (/ (+ (* z x) (* y x)) z) (+ (* z x) (* y x)) (* (/ -1 z) (* (neg x) (+ z y))) (/ -1 z) (* (neg x) (+ z y)) (neg x))
3.0ms
x
@-inf
((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (* (/ x z) (+ z y)) (/ x z) (+ z y) (/ (+ (* z x) (* y x)) z) (+ (* z x) (* y x)) (* (/ -1 z) (* (neg x) (+ z y))) (/ -1 z) (* (neg x) (+ z y)) (neg x))
2.0ms
x
@0
((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (* (/ x z) (+ z y)) (/ x z) (+ z y) (/ (+ (* z x) (* y x)) z) (+ (* z x) (* y x)) (* (/ -1 z) (* (neg x) (+ z y))) (/ -1 z) (* (neg x) (+ z y)) (neg x))
2.0ms
y
@-inf
((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (* (/ x z) (+ z y)) (/ x z) (+ z y) (/ (+ (* z x) (* y x)) z) (+ (* z x) (* y x)) (* (/ -1 z) (* (neg x) (+ z y))) (/ -1 z) (* (neg x) (+ z y)) (neg x))

simplify137.0ms (2%)

Memory
32.6MiB live, 104.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067175
1232175
2625175
31802175
43767175
54430175
64783175
75346175
85614175
95674175
106988175
117816175
08018167
Stop Event
iter limit
node limit
Counts
38 → 35
Calls
Call 1
Inputs
(/ (* x (+ y z)) z)
(* x (+ 1 (/ y z)))
(* x (+ y z))
(* x y)
(/ x z)
(* -1 (* x (+ y z)))
(* -1 x)
(* -1 (* x (- (* -1 (/ y z)) 1)))
(* -1 (/ (* x (+ (* -1 y) (* -1 z))) z))
(* -1 (* x (+ (* -1 y) (* -1 z))))
x
(+ x (/ (* x y) z))
(/ y z)
(* x z)
(+ (* x y) (* x z))
z
(+ y z)
(* -1 (* x z))
(+ (* -1 (* x y)) (* -1 (* x z)))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ x (/ (* x z) y)))
y
(* y (+ 1 (/ z y)))
(* -1 (* x y))
(* y (+ (* -1 x) (* -1 (/ (* x z) y))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (+ x (/ (* x z) y))))
(/ (+ (* x y) (* x z)) z)
(/ -1 z)
(* z (+ x (/ (* x y) z)))
(* z (+ 1 (/ y z)))
(* z (+ (* -1 x) (* -1 (/ (* x y) z))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (+ x (/ (* x y) z))))
Outputs
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 x z) y x)
(* x (+ 1 (/ y z)))
(fma.f64 (/.f64 x z) y x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(* x y)
(*.f64 y x)
(/ x z)
(/.f64 x z)
(* -1 (* x (+ y z)))
(*.f64 (-.f64 (neg.f64 z) y) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- (* -1 (/ y z)) 1)))
(fma.f64 (/.f64 x z) y x)
(* -1 (/ (* x (+ (* -1 y) (* -1 z))) z))
(fma.f64 (/.f64 x z) y x)
(* -1 (* x (+ (* -1 y) (* -1 z))))
(*.f64 (+.f64 z y) x)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(/ y z)
(/.f64 y z)
(* x z)
(*.f64 z x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
z
(+ y z)
(+.f64 z y)
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(+ (* -1 (* x y)) (* -1 (* x z)))
(*.f64 (-.f64 (neg.f64 z) y) x)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(* y (+ (/ x y) (/ x z)))
(fma.f64 (/.f64 x z) y x)
(* y (+ x (/ (* x z) y)))
(*.f64 (+.f64 z y) x)
y
(* y (+ 1 (/ z y)))
(+.f64 z y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (+ (* -1 x) (* -1 (/ (* x z) y))))
(*.f64 (-.f64 (neg.f64 z) y) x)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(fma.f64 (/.f64 x z) y x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 z y) x)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
(* -1 (* y (+ x (/ (* x z) y))))
(*.f64 (-.f64 (neg.f64 z) y) x)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 x z) y x)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(* z (+ x (/ (* x y) z)))
(*.f64 (+.f64 z y) x)
(* z (+ 1 (/ y z)))
(+.f64 z y)
(* z (+ (* -1 x) (* -1 (/ (* x y) z))))
(*.f64 (-.f64 (neg.f64 z) y) x)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 (+.f64 z y) x)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)
(* -1 (* z (+ x (/ (* x y) z))))
(*.f64 (-.f64 (neg.f64 z) y) x)

rewrite213.0ms (3.2%)

Memory
-22.2MiB live, 376.7MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02294
03786
115286
2109385
0854685
Stop Event
iter limit
node limit
iter limit
Counts
15 → 1 917
Calls
Call 1
Inputs
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(fma.f64 (/.f64 y z) x x)
(/.f64 y z)
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
#s(approx (* x (+ y z)) (*.f64 y x))
(*.f64 y x)
(*.f64 (/.f64 x z) (+.f64 z y))
(/.f64 x z)
(+.f64 z y)
(/.f64 (fma.f64 z x (*.f64 y x)) z)
(fma.f64 z x (*.f64 y x))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y)))
(/.f64 #s(literal -1 binary64) z)
(*.f64 (neg.f64 x) (+.f64 z y))
(neg.f64 x)
Outputs
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(*.f64 (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1 binary64)) x)
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 z y) x) x) (-.f64 z y))) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 (*.f64 x x) y) (-.f64 y z) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (+.f64 z y) #s(literal -1 binary64))) x)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (+.f64 z y))) x)
(*.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 (*.f64 (*.f64 (*.f64 (+.f64 z y) x) x) (-.f64 z y)) x) (/.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 z y)))
(*.f64 (/.f64 (*.f64 (neg.f64 x) (+.f64 z y)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) (-.f64 y z) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) z) (/.f64 (*.f64 (+.f64 z y) x) (fma.f64 (*.f64 (*.f64 x x) y) (-.f64 y z) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 (+.f64 z y) #s(literal -1 binary64)) z) (/.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 z y) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x z))
(*.f64 (/.f64 (neg.f64 (+.f64 z y)) #s(literal -1 binary64)) (/.f64 x z))
(*.f64 (/.f64 (*.f64 (+.f64 z y) (-.f64 y z)) z) (/.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) z) (/.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) z) (/.f64 (pow.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) z) (/.f64 (pow.f64 (fma.f64 y (-.f64 y z) (*.f64 z z)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.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 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (+.f64 z y) z))
(*.f64 (pow.f64 (/.f64 z (*.f64 (*.f64 (*.f64 (+.f64 z y) x) x) (-.f64 z y))) #s(literal -1 binary64)) (pow.f64 (*.f64 x (-.f64 z y)) #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 (*.f64 x x) y) (-.f64 y z) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (+.f64 z y)) z) (/.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (+.f64 z y)) z) (neg.f64 x))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y z) (*.f64 z z)) (*.f64 (neg.f64 x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) z y)) (*.f64 (*.f64 (*.f64 (+.f64 z y) x) x) (-.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) y) (-.f64 y z) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 (+.f64 z y) x) #s(literal -1 binary64))))
(/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 z y)))
(/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (+.f64 z y) x) #s(literal -1 binary64)))
(neg.f64 (*.f64 (+.f64 z y) x))
(fma.f64 (*.f64 y #s(literal -1 binary64)) x (*.f64 (neg.f64 z) x))
(fma.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 z) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 (neg.f64 z) x) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(fma.f64 #s(literal 0 binary64) (+.f64 z y) (*.f64 (neg.f64 x) (+.f64 z y)))
(fma.f64 (neg.f64 y) x (*.f64 (neg.f64 z) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) x) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x)))
(fma.f64 (neg.f64 z) x (*.f64 (neg.f64 y) x))
(fma.f64 (*.f64 z x) #s(literal -1 binary64) (*.f64 (neg.f64 y) x))
(fma.f64 (neg.f64 x) z (*.f64 (neg.f64 y) x))
(fma.f64 (neg.f64 x) y (*.f64 (neg.f64 z) x))
(fma.f64 #s(literal -1 binary64) (*.f64 z x) (*.f64 (neg.f64 y) x))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) (*.f64 (neg.f64 z) x))
(fma.f64 (+.f64 z y) #s(literal 0 binary64) (*.f64 (neg.f64 x) (+.f64 z y)))
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (*.f64 (neg.f64 z) x))
(fma.f64 z (neg.f64 x) (*.f64 (neg.f64 y) x))
(fma.f64 y (neg.f64 x) (*.f64 (neg.f64 z) x))
(fma.f64 x (neg.f64 y) (*.f64 (neg.f64 z) x))
(fma.f64 x (neg.f64 z) (*.f64 (neg.f64 y) x))
(-.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1 binary64) z y))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1 binary64) z y))))
(-.f64 (*.f64 (neg.f64 y) x) (*.f64 z x))
(-.f64 (*.f64 (neg.f64 z) x) (*.f64 y x))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 z y) x))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 x (-.f64 z y)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 z y))))
(+.f64 (*.f64 #s(literal 0 binary64) (+.f64 z y)) (*.f64 (neg.f64 x) (+.f64 z y)))
(+.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 z) x) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (neg.f64 z) x) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(+.f64 (*.f64 (+.f64 z y) #s(literal 0 binary64)) (*.f64 (neg.f64 x) (+.f64 z y)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) x)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) x)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x)))
(+.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 z) x))
(+.f64 (*.f64 (neg.f64 z) x) (*.f64 (neg.f64 y) x))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (+.f64 z y)))
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) x)
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 (neg.f64 x) x) x)
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(neg.f64 x)
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (neg.f64 x))

eval104.0ms (1.5%)

Memory
21.4MiB live, 259.7MiB allocated
Compiler

Compiled 18 987 to 2 472 computations (87% saved)

prune25.0ms (0.4%)

Memory
-5.2MiB live, 80.2MiB allocated
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New8804884
Fresh336
Picked235
Done101
Total88610896
Accuracy
100.0%
Counts
896 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.2%
(/.f64 (fma.f64 z x (*.f64 y x)) z)
84.0%
(/.f64 (fma.f64 y x (*.f64 z x)) z)
37.6%
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
49.5%
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
85.1%
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z y) x)))
49.5%
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x)))
93.3%
#s(approx (/ (+ (* z x) (* y x)) z) (fma.f64 (/.f64 x z) y x))
95.4%
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
82.5%
#s(approx (/ (* x (+ y z)) z) (/.f64 (+.f64 z y) (/.f64 z x)))
50.9%
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))
Compiler

Compiled 207 to 149 computations (28% saved)

simplify146.0ms (2.2%)

Memory
-1.6MiB live, 75.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

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

Useful iterations: 6 (0.0ms)

IterNodesCost
029136
040131
173130
2106130
3160130
4230130
5336130
6816128
72439128
82836128
93566128
104059128
114414128
124516128
134537128
145259128
156577128
167099128
177723128
187914128
197944128
08190128
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (* z x) (* y x)) z) (fma.f64 (/.f64 x z) y x))
(fma.f64 (/.f64 x z) y x)
(/.f64 x z)
x
z
y
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
#s(approx (* x (+ y z)) (*.f64 z x))
(*.f64 z x)
z
x
(/.f64 (fma.f64 y x (*.f64 z x)) z)
(fma.f64 y x (*.f64 z x))
y
x
(*.f64 z x)
z
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x)))
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
#s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
Outputs
#s(approx (/ (+ (* z x) (* y x)) z) (fma.f64 (/.f64 x z) y x))
(fma.f64 (/.f64 x z) y x)
(/.f64 x z)
x
z
y
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))
#s(approx (/ (+ (* z x) (* y x)) z) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
(/.f64 #s(approx (* x (+ y z)) (*.f64 x z)) z)
#s(approx (* x (+ y z)) (*.f64 z x))
#s(approx (* x (+ y z)) (*.f64 x z))
(*.f64 z x)
(*.f64 x z)
z
x
(/.f64 (fma.f64 y x (*.f64 z x)) z)
(fma.f64 (/.f64 x z) y x)
(fma.f64 y x (*.f64 z x))
(*.f64 (+.f64 y z) x)
y
x
(*.f64 z x)
(*.f64 x z)
z
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x)))
(/.f64 #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x)) (neg.f64 z))
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
#s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x

localize68.0ms (1%)

Memory
18.2MiB live, 138.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 (neg.f64 y) x)
accuracy0.0
(neg.f64 y)
accuracy9.516275428585962
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x)))
accuracy26.862265978740403
#s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x))
accuracy0.0
(*.f64 z x)
accuracy1.257798738027801
(fma.f64 y x (*.f64 z x))
accuracy9.438150428585962
(/.f64 (fma.f64 y x (*.f64 z x)) z)
accuracy0.0
(*.f64 z x)
accuracy9.438150428585962
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
accuracy31.808377397044257
#s(approx (* x (+ y z)) (*.f64 z x))
accuracy0.0
(/.f64 x z)
accuracy6.102924284332298
(*.f64 (/.f64 x z) y)
accuracy29.455962673185326
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))
accuracy0.0
(/.f64 x z)
accuracy0.0
#s(approx (/ (+ (* z x) (* y x)) z) (fma.f64 (/.f64 x z) y x))
accuracy4.29136494375586
(fma.f64 (/.f64 x z) y x)
Samples
54.0ms256×0valid
Compiler

Compiled 110 to 25 computations (77.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 12.0ms (42.7% of total)
ival-div: 8.0ms (28.5% of total)
ival-add: 6.0ms (21.4% of total)
ival-neg: 2.0ms (7.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory
-6.7MiB live, 31.7MiB allocated
Counts
15 → 30
Calls
Call 1
Inputs
#s(approx (/ (+ (* z x) (* y x)) z) (fma.f64 (/.f64 x z) y x))
(fma.f64 (/.f64 x z) y x)
(/.f64 x z)
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
#s(approx (* x (+ y z)) (*.f64 z x))
(*.f64 z x)
(/.f64 (fma.f64 y x (*.f64 z x)) z)
(fma.f64 y x (*.f64 z x))
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x)))
(/.f64 #s(literal -1 binary64) z)
#s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
Outputs
(/ (* x (+ y z)) z)
(* x (+ 1 (/ y z)))
(/ x z)
(/ (* x y) z)
(* x (+ y z))
(* x z)
(* -1 (* x (+ y z)))
(* -1 (* x y))
(* -1 (/ (* x (+ (* -1 y) (* -1 z))) z))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(* -1 (* x (+ (* -1 y) (* -1 z))))
x
(+ x (/ (* x y) z))
(+ (* x y) (* x z))
(* -1 (* x z))
(+ (* -1 (* x y)) (* -1 (* x z)))
(* -1 y)
(* y (+ (/ x y) (/ x z)))
(* x y)
(* y (+ x (/ (* x z) y)))
(* y (+ (* -1 x) (* -1 (/ (* x z) y))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ x (/ (* x z) y))))
(/ (+ (* x y) (* x z)) z)
(/ -1 z)
(* z (+ x (/ (* x y) z)))
(* z (+ (* -1 x) (* -1 (/ (* x y) z))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ x (/ (* x y) z))))
Calls

9 calls:

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

simplify214.0ms (3.2%)

Memory
-1.8MiB live, 79.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057155
1196155
2541155
31401155
43672155
55178155
65818155
76158155
86315155
96464155
107156155
117504155
127580155
137646155
147725155
157725155
167734155
177734155
187734155
08859147
Stop Event
iter limit
node limit
Counts
30 → 29
Calls
Call 1
Inputs
(/ (* x (+ y z)) z)
(* x (+ 1 (/ y z)))
(/ x z)
(/ (* x y) z)
(* x (+ y z))
(* x z)
(* -1 (* x (+ y z)))
(* -1 (* x y))
(* -1 (/ (* x (+ (* -1 y) (* -1 z))) z))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(* -1 (* x (+ (* -1 y) (* -1 z))))
x
(+ x (/ (* x y) z))
(+ (* x y) (* x z))
(* -1 (* x z))
(+ (* -1 (* x y)) (* -1 (* x z)))
(* -1 y)
(* y (+ (/ x y) (/ x z)))
(* x y)
(* y (+ x (/ (* x z) y)))
(* y (+ (* -1 x) (* -1 (/ (* x z) y))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ x (/ (* x z) y))))
(/ (+ (* x y) (* x z)) z)
(/ -1 z)
(* z (+ x (/ (* x y) z)))
(* z (+ (* -1 x) (* -1 (/ (* x y) z))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ x (/ (* x y) z))))
Outputs
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 x z) y x)
(* x (+ 1 (/ y z)))
(fma.f64 (/.f64 x z) y x)
(/ x z)
(/.f64 x z)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(* x (+ y z))
(*.f64 (+.f64 y z) x)
(* x z)
(*.f64 x z)
(* -1 (* x (+ y z)))
(*.f64 (-.f64 (neg.f64 z) y) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (/ (* x (+ (* -1 y) (* -1 z))) z))
(fma.f64 (/.f64 x z) y x)
(* -1 (* x (- (* -1 (/ y z)) 1)))
(fma.f64 (/.f64 x z) y x)
(* -1 (* x (+ (* -1 y) (* -1 z))))
(*.f64 (+.f64 y z) x)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(+ (* x y) (* x z))
(*.f64 (+.f64 y z) x)
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(+ (* -1 (* x y)) (* -1 (* x z)))
(*.f64 (-.f64 (neg.f64 z) y) x)
(* -1 y)
(neg.f64 y)
(* y (+ (/ x y) (/ x z)))
(fma.f64 (/.f64 x z) y x)
(* x y)
(*.f64 y x)
(* y (+ x (/ (* x z) y)))
(*.f64 (+.f64 y z) x)
(* y (+ (* -1 x) (* -1 (/ (* x z) y))))
(*.f64 (-.f64 (neg.f64 z) y) x)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(fma.f64 (/.f64 x z) y x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 y z) x)
(* -1 (* y (+ x (/ (* x z) y))))
(*.f64 (-.f64 (neg.f64 z) y) x)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 x z) y x)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(* z (+ x (/ (* x y) z)))
(*.f64 (+.f64 y z) x)
(* z (+ (* -1 x) (* -1 (/ (* x y) z))))
(*.f64 (-.f64 (neg.f64 z) y) x)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 (+.f64 y z) x)
(* -1 (* z (+ x (/ (* x y) z))))
(*.f64 (-.f64 (neg.f64 z) y) x)

rewrite241.0ms (3.6%)

Memory
4.7MiB live, 243.0MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029115
040111
1157110
2985110
08707110
Stop Event
iter limit
node limit
iter limit
Counts
15 → 632
Calls
Call 1
Inputs
#s(approx (/ (+ (* z x) (* y x)) z) (fma.f64 (/.f64 x z) y x))
(fma.f64 (/.f64 x z) y x)
(/.f64 x z)
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
#s(approx (* x (+ y z)) (*.f64 z x))
(*.f64 z x)
(/.f64 (fma.f64 y x (*.f64 z x)) z)
(fma.f64 y x (*.f64 z x))
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x)))
(/.f64 #s(literal -1 binary64) z)
#s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
Outputs
#s(approx (/ (+ (* z x) (* y x)) z) (fma.f64 (/.f64 x z) y x))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (/.f64 x z) y))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 x z) x)))
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 x z) y)) (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (/.f64 x z) y (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 x z) y)) (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 x z) y x) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 x z) y)) (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 (/.f64 x z) y) (fma.f64 (/.f64 x z) y (neg.f64 x))))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 x z) y)) (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) y x))
(*.f64 (fma.f64 (/.f64 x z) y x) (*.f64 (fma.f64 (/.f64 x z) y (neg.f64 x)) (pow.f64 (fma.f64 (/.f64 x z) y (neg.f64 x)) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) y x)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (/.f64 x z) y (neg.f64 x)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (/.f64 x z) y (neg.f64 x)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 x z) y) x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 x z) y)) (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 x z) y)) (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 x z) y) x) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 (/.f64 x z) y (neg.f64 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 x z) y)) (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) y (neg.f64 x))) (/.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) y (neg.f64 x)))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 x z) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (/.f64 x z) y (neg.f64 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 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) y (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 x z) y (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) y (neg.f64 x))) (/.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) y (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 x z) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (/.f64 x z) y (neg.f64 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 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (/.f64 x z) y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (fma.f64 (neg.f64 y) (/.f64 x z) x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 x z) y)) (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) y (neg.f64 x))) (*.f64 (fma.f64 (/.f64 x z) y (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (/.f64 x z) y (neg.f64 x)) (fma.f64 (/.f64 x z) y (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 x z) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (neg.f64 y) (/.f64 x z) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 x z) y) (fma.f64 (/.f64 x z) y (neg.f64 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 x z) y)) (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (/.f64 x z) y (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 (/.f64 x z) y) (fma.f64 (/.f64 x z) y (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (/.f64 x z) y)) (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (/.f64 x z) y)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 x z) y) (fma.f64 (/.f64 x z) y (neg.f64 x)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) y x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) y x))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (/.f64 x z) y (neg.f64 x))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (*.f64 (/.f64 x z) y)) (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (neg.f64 y) (/.f64 x z) x)))
(neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 3 binary64))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 x z) y)) (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64))))))
(fma.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)) x)
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 x z) x)
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 y z) x)
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) z) x)
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) z) x)
(fma.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) x)
(fma.f64 (/.f64 y z) x x)
(fma.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) z) x)
(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 y x) x)
(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 #s(literal 1 binary64) (*.f64 (/.f64 x z) y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 x z) y))
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 x) z) x)
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) z) y) x)
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 (/.f64 x z) y))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 y) x) z) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (/.f64 x z) y))
(fma.f64 (/.f64 x z) y x)
(fma.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64)) x)
(fma.f64 y (/.f64 x z) x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 x z) y))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 x z) y))) (/.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)) (-.f64 x (*.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))) (/.f64 (*.f64 x x) (fma.f64 (/.f64 x z) y (neg.f64 x))))
(+.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) x)
(+.f64 x (*.f64 (/.f64 x z) y))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.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 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 (neg.f64 x) z) #s(literal -1 binary64))
(*.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 #s(literal -1 binary64) (/.f64 (neg.f64 x) z))
(*.f64 x (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) z)) x)
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 z))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 z x) #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) z)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 x) z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 z x) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) z)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) x)) (*.f64 (neg.f64 z) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 z x))
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) x))
(/.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 #s(literal 0 binary64) (/.f64 (neg.f64 x) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x z))
#s(approx (/ (+ (* z x) (* y x)) z) (*.f64 (/.f64 x z) y))
(*.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 x z))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 y z))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 y z) x)
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) z))
(*.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)) (*.f64 y x))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) y))
(*.f64 (neg.f64 y) (/.f64 (neg.f64 x) z))
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 y) x) z))
(*.f64 (/.f64 x z) y)
(*.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(pow.f64 (/.f64 z (*.f64 y x)) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) z)
(/.f64 (neg.f64 (*.f64 (neg.f64 y) x)) z)
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) y))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))
(/.f64 (neg.f64 y) (/.f64 (neg.f64 z) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 y x))))
(/.f64 (*.f64 y x) z)
(/.f64 y (/.f64 z x))
(neg.f64 (/.f64 (*.f64 (neg.f64 y) x) z))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (neg.f64 y) x) z))
(*.f64 (*.f64 (neg.f64 #s(approx (* x (+ y z)) (*.f64 x z))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (*.f64 (neg.f64 #s(approx (* x (+ y z)) (*.f64 x z))) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x z)))) (/.f64 #s(literal -1 binary64) z))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 z) #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x)))))
(neg.f64 (/.f64 #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x)) z))
(*.f64 (pow.f64 (neg.f64 z) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 z) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (neg.f64 z) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 z))
(/.f64 #s(literal -1 binary64) z)
(neg.f64 (pow.f64 z #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 z)) #s(literal -1 binary64)))
(*.f64 (neg.f64 #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x)))
(*.f64 #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x))))
#s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x))
(neg.f64 (neg.f64 #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x))))
(*.f64 (neg.f64 y) x)
(*.f64 (neg.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 y x))
(*.f64 (*.f64 y x) #s(literal -1 binary64))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) y) x)
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 y (*.f64 (neg.f64 x) x)) x)
(/.f64 (*.f64 y (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 x (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y)
(/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 y x)))))
(/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))
(neg.f64 (*.f64 y x))
(fma.f64 y #s(literal 0 binary64) (*.f64 (neg.f64 y) x))
(fma.f64 x #s(literal 0 binary64) (*.f64 (neg.f64 y) x))
(-.f64 #s(literal 0 binary64) (*.f64 y x))
(+.f64 (*.f64 y #s(literal 0 binary64)) (*.f64 (neg.f64 y) x))
(+.f64 (*.f64 x #s(literal 0 binary64)) (*.f64 (neg.f64 y) x))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x))
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) y)) (neg.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 #s(literal 0 binary64) (neg.f64 y)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 #s(literal 0 binary64) (neg.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 (neg.f64 y) y) y)
(/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (neg.f64 (pow.f64 y #s(literal 3 binary64)))))
(neg.f64 y)
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 y y) y))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) (neg.f64 y))

eval178.0ms (2.6%)

Memory
-16.5MiB live, 142.8MiB allocated
Compiler

Compiled 14 282 to 1 750 computations (87.7% saved)

prune48.0ms (0.7%)

Memory
10.0MiB live, 48.8MiB allocated
Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New6752677
Fresh112
Picked055
Done033
Total67611687
Accuracy
100.0%
Counts
687 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.2%
(/.f64 (fma.f64 z x (*.f64 y x)) z)
84.0%
(/.f64 (fma.f64 y x (*.f64 z x)) z)
37.6%
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
49.5%
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
85.1%
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z y) x)))
49.5%
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x)))
93.3%
#s(approx (/ (+ (* z x) (* y x)) z) (fma.f64 (/.f64 x z) y x))
95.4%
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
50.7%
#s(approx (/ (* x (+ y z)) z) (/.f64 y (/.f64 z x)))
49.4%
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 y z) x))
50.9%
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))
Compiler

Compiled 131 to 94 computations (28.2% saved)

simplify192.0ms (2.8%)

Memory
-9.2MiB live, 149.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 z y)
cost-diff0
(*.f64 (+.f64 z y) x)
cost-diff0
(/.f64 z (*.f64 (+.f64 z y) x))
cost-diff3
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z y) x)))
cost-diff0
(/.f64 z x)
cost-diff0
(/.f64 y (/.f64 z x))
cost-diff0
#s(approx (/ (* x (+ y z)) z) (/.f64 y (/.f64 z x)))
cost-diff0
(/.f64 y z)
cost-diff0
(*.f64 (/.f64 y z) x)
cost-diff0
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 y z) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01776
02576
14476
27574
313374
422974
538274
6137274
7233374
8279474
9378474
10386774
11387074
12387074
13507074
14572774
15676074
0907171
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
x
#s(approx (/ (* x (+ y z)) z) (/.f64 y (/.f64 z x)))
(/.f64 y (/.f64 z x))
y
(/.f64 z x)
z
x
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z y) x)))
#s(literal 1 binary64)
(/.f64 z (*.f64 (+.f64 z y) x))
z
(*.f64 (+.f64 z y) x)
(+.f64 z y)
y
x
Outputs
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 y z) x))
#s(approx (/ (* x (+ y z)) z) (/.f64 (*.f64 y x) z))
(*.f64 (/.f64 y z) x)
(/.f64 (*.f64 y x) z)
(/.f64 y z)
y
z
x
#s(approx (/ (* x (+ y z)) z) (/.f64 y (/.f64 z x)))
#s(approx (/ (* x (+ y z)) z) (/.f64 (*.f64 y x) z))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 y x) z)
y
(/.f64 z x)
z
x
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z y) x)))
(fma.f64 (/.f64 y z) x x)
#s(literal 1 binary64)
(/.f64 z (*.f64 (+.f64 z y) x))
z
(*.f64 (+.f64 z y) x)
(+.f64 z y)
y
x

localize86.0ms (1.3%)

Memory
11.9MiB live, 98.1MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 z y)
accuracy0.0078125
(*.f64 (+.f64 z y) x)
accuracy0.19921875
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z y) x)))
accuracy9.439789730443403
(/.f64 z (*.f64 (+.f64 z y) x))
accuracy0.0
(/.f64 z x)
accuracy6.393217716889321
(/.f64 y (/.f64 z x))
accuracy29.455962673185326
#s(approx (/ (* x (+ y z)) z) (/.f64 y (/.f64 z x)))
accuracy0.0
(/.f64 y z)
accuracy4.156410871278404
(*.f64 (/.f64 y z) x)
accuracy29.455962673185326
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 y z) x))
Samples
55.0ms256×0valid
Compiler

Compiled 66 to 17 computations (74.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-add: 30.0ms (67.1% of total)
ival-div: 9.0ms (20.1% of total)
ival-mult: 5.0ms (11.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
-9.6MiB live, 29.5MiB allocated
Counts
10 → 43
Calls
Call 1
Inputs
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
#s(approx (/ (* x (+ y z)) z) (/.f64 y (/.f64 z x)))
(/.f64 y (/.f64 z x))
(/.f64 z x)
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z y) x)))
(/.f64 z (*.f64 (+.f64 z y) x))
(*.f64 (+.f64 z y) x)
(+.f64 z y)
Outputs
(/ (* x (+ y z)) z)
(/ (* x y) z)
(/ z x)
(/ z (* x (+ y z)))
(* x (+ y z))
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))
z
(+ y 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)
(* x y)
(* y (+ x (/ (* x z) y)))
y
(* y (+ 1 (/ 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)))))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(/ (+ (* 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)))
(* z (+ 1 (/ 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)))))
(* -1 (* z (- (* -1 (/ y z)) 1)))
Calls

9 calls:

TimeVariablePointExpression
3.0ms
y
@0
((/ (* x (+ y z)) z) (* (/ y z) x) (/ y z) (/ (* x (+ y z)) z) (/ y (/ z x)) (/ z x) (/ 1 (/ z (* (+ z y) x))) (/ z (* (+ z y) x)) (* (+ z y) x) (+ z y))
2.0ms
x
@-inf
((/ (* x (+ y z)) z) (* (/ y z) x) (/ y z) (/ (* x (+ y z)) z) (/ y (/ z x)) (/ z x) (/ 1 (/ z (* (+ z y) x))) (/ z (* (+ z y) x)) (* (+ z y) x) (+ z y))
2.0ms
z
@-inf
((/ (* x (+ y z)) z) (* (/ y z) x) (/ y z) (/ (* x (+ y z)) z) (/ y (/ z x)) (/ z x) (/ 1 (/ z (* (+ z y) x))) (/ z (* (+ z y) x)) (* (+ z y) x) (+ z y))
2.0ms
z
@inf
((/ (* x (+ y z)) z) (* (/ y z) x) (/ y z) (/ (* x (+ y z)) z) (/ y (/ z x)) (/ z x) (/ 1 (/ z (* (+ z y) x))) (/ z (* (+ z y) x)) (* (+ z y) x) (+ z y))
1.0ms
y
@inf
((/ (* x (+ y z)) z) (* (/ y z) x) (/ y z) (/ (* x (+ y z)) z) (/ y (/ z x)) (/ z x) (/ 1 (/ z (* (+ z y) x))) (/ z (* (+ z y) x)) (* (+ z y) x) (+ z y))

simplify225.0ms (3.3%)

Memory
-5.4MiB live, 191.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0170491
1539475
21549430
35631428
08610419
Stop Event
iter limit
node limit
Counts
43 → 40
Calls
Call 1
Inputs
(/ (* x (+ y z)) z)
(/ (* x y) z)
(/ z x)
(/ z (* x (+ y z)))
(* x (+ y z))
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))
z
(+ y 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)
(* x y)
(* y (+ x (/ (* x z) y)))
y
(* y (+ 1 (/ 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)))))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(/ (+ (* 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)))
(* z (+ 1 (/ 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)))))
(* -1 (* z (- (* -1 (/ y z)) 1)))
Outputs
(/ (* x (+ y z)) z)
(*.f64 (/.f64 (+.f64 z y) z) x)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ z x)
(/.f64 z x)
(/ z (* x (+ y z)))
(/.f64 (/.f64 z (+.f64 z y)) x)
(* x (+ y z))
(*.f64 (+.f64 z 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))
(+.f64 (/.f64 (*.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) 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))
(+.f64 (-.f64 (/.f64 (*.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) z) (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) x)) (/.f64 #s(literal 1 binary64) x))
(* x z)
(*.f64 z x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
z
(+ y z)
(+.f64 z y)
(* y (+ (/ x y) (/ x z)))
(fma.f64 (/.f64 x z) y x)
(/ z (* x y))
(/.f64 (/.f64 z y) x)
(/ (+ (* -1 (/ (pow z 2) (* x y))) (/ z x)) y)
(/.f64 (*.f64 (/.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 z y))) (neg.f64 y))
(/ (- (+ (/ z x) (/ (pow z 3) (* x (pow y 2)))) (/ (pow z 2) (* x y))) y)
(/.f64 (fma.f64 z (/.f64 (*.f64 (/.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 z y))) y) (/.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 z (/.f64 (*.f64 (/.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 z y))) y) (-.f64 (/.f64 z x) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))))) y)
(* 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 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))) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ z x)) (* -1 (/ (- (/ (pow z 3) (* x y)) (/ (pow z 2) x)) y))) y))
(/.f64 (fma.f64 z (/.f64 (*.f64 (/.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 z y))) y) (/.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 z (/.f64 (*.f64 (/.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 z y))) y) (-.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 z y) x)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
(/ (+ (* x y) (* x z)) z)
(*.f64 (/.f64 (+.f64 z y) 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))) (neg.f64 y))
(* z (+ (* z (- (/ z (* x (pow y 3))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))
(fma.f64 (*.f64 (/.f64 z (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) z) z (/.f64 (*.f64 (/.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 z y))) (neg.f64 y)))
(* z (+ (* z (- (* z (+ (* -1 (/ z (* x (pow y 4)))) (/ 1 (* x (pow y 3))))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (/.f64 z (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) z (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) x))) z (/.f64 (/.f64 #s(literal 1 binary64) x) y)) z)
(- (+ (/ 1 x) (/ (pow y 2) (* x (pow z 2)))) (/ y (* x z)))
(+.f64 (/.f64 (*.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) 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))))
(+.f64 (-.f64 (/.f64 (*.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) z) (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) x)) (/.f64 #s(literal 1 binary64) x))
(* z (+ x (/ (* x y) z)))
(*.f64 (+.f64 z y) x)
(* z (+ 1 (/ y z)))
(+.f64 z y)
(+ (* -1 (/ (- (* -1 (/ (pow y 2) (* x z))) (* -1 (/ y x))) z)) (/ 1 x))
(+.f64 (/.f64 (*.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) 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))
(+.f64 (-.f64 (/.f64 (*.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) z) (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) x)) (/.f64 #s(literal 1 binary64) x))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 (+.f64 z y) x)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)

rewrite150.0ms (2.2%)

Memory
21.3MiB live, 182.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01766
02564
110564
260864
3578264
0808464
Stop Event
iter limit
node limit
iter limit
Counts
10 → 801
Calls
Call 1
Inputs
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
#s(approx (/ (* x (+ y z)) z) (/.f64 y (/.f64 z x)))
(/.f64 y (/.f64 z x))
(/.f64 z x)
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z y) x)))
(/.f64 z (*.f64 (+.f64 z y) x))
(*.f64 (+.f64 z y) x)
(+.f64 z y)
Outputs
#s(approx (/ (* x (+ y z)) z) (*.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 #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 (*.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 (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 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 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) z))
(*.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 x) y))
(*.f64 (/.f64 (neg.f64 x) z) (neg.f64 y))
(*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z))
(*.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64)))
(*.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 x) (/.f64 (neg.f64 y) z))
(*.f64 (neg.f64 y) (/.f64 (neg.f64 x) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (neg.f64 x) z)))
(*.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 (pow.f64 (/.f64 (/.f64 z x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(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 x) y) #s(literal -1 binary64)) z)
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (neg.f64 z) x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 (neg.f64 z) x))
(/.f64 (*.f64 (*.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 y x)) z)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) y)) (neg.f64 z))
(/.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 x) y)) z)
(/.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (neg.f64 x) y) (*.f64 #s(literal 1 binary64) (neg.f64 z)))
(/.f64 (*.f64 (neg.f64 x) y) (neg.f64 z))
(/.f64 (*.f64 y x) 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 x) (/.f64 (neg.f64 z) y))
(/.f64 (neg.f64 y) (/.f64 (neg.f64 z) x))
(/.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 (neg.f64 z) x) y))
(/.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 x) y) 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 y (/.f64 (neg.f64 x) z))))
(neg.f64 (*.f64 x (/.f64 (neg.f64 y) z)))
(neg.f64 (*.f64 y (/.f64 (neg.f64 x) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) x)) (*.f64 y (/.f64 (neg.f64 x) z)))
(-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 (neg.f64 x) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z x) y)) #s(literal -1 binary64)))
(*.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 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 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)))
#s(approx (/ (* x (+ y z)) z) (*.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 #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 (*.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 (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 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 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) z))
(*.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 x) y))
(*.f64 (/.f64 (neg.f64 x) z) (neg.f64 y))
(*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z))
(*.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64)))
(*.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 x) (/.f64 (neg.f64 y) z))
(*.f64 (neg.f64 y) (/.f64 (neg.f64 x) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (neg.f64 x) z)))
(*.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 (pow.f64 (/.f64 (/.f64 z x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(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 x) y) #s(literal -1 binary64)) z)
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (neg.f64 z) x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 (neg.f64 z) x))
(/.f64 (*.f64 (*.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 y x)) z)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) y)) (neg.f64 z))
(/.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 x) y)) z)
(/.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (neg.f64 x) y) (*.f64 #s(literal 1 binary64) (neg.f64 z)))
(/.f64 (*.f64 (neg.f64 x) y) (neg.f64 z))
(/.f64 (*.f64 y x) 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 x) (/.f64 (neg.f64 z) y))
(/.f64 (neg.f64 y) (/.f64 (neg.f64 z) x))
(/.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 (neg.f64 z) x) y))
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(/.f64 (*.f64 (/.f64 y z) x) #s(literal 1 binary64))
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(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (neg.f64 x) z))))
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(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) x)) (*.f64 y (/.f64 (neg.f64 x) z)))
(-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 (neg.f64 x) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z x) y)) #s(literal -1 binary64)))
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(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) x))
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(*.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)))
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(/.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 #s(literal -1 binary64) (/.f64 (neg.f64 x) z))
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(/.f64 (/.f64 z x) #s(literal 1 binary64))
(/.f64 z x)
(neg.f64 (/.f64 (/.f64 (neg.f64 z) x) #s(literal 1 binary64)))
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(-.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 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal -1 binary64)) #s(literal 1 binary64)))
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(*.f64 (*.f64 (/.f64 x z) (fma.f64 (neg.f64 y) y (*.f64 z z))) (pow.f64 (-.f64 z y) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x z) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 z y) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x))
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(*.f64 (/.f64 (neg.f64 (+.f64 z y)) #s(literal -1 binary64)) (/.f64 x z))
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(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 z z (*.f64 y y)) (pow.f64 z #s(literal 4 binary64))) (-.f64 z y)))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y z) y (*.f64 z z))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (fma.f64 (-.f64 y z) y (*.f64 z z))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (fma.f64 (-.f64 y z) y (*.f64 z z))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y z)) (*.f64 (-.f64 y z) (*.f64 z z))) (pow.f64 (-.f64 y z) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z y)) (*.f64 (-.f64 z y) (*.f64 y y))) (pow.f64 (-.f64 z y) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 (-.f64 y z) (fma.f64 z z (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (-.f64 z y) (fma.f64 z z (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (-.f64 y z) (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (-.f64 z y) (fma.f64 (*.f64 y y) (fma.f64 z z (*.f64 y y)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) (-.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y z) y (*.f64 z z))))
(/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (-.f64 y z))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 z z)) (-.f64 z y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (-.f64 y z) y (*.f64 z z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 z y) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (+.f64 z y)))
(fma.f64 (/.f64 (*.f64 z z) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 z y)))))
(fma.f64 (/.f64 (*.f64 z z) (fma.f64 (neg.f64 y) y (*.f64 z z))) (+.f64 z y) (neg.f64 (*.f64 y (/.f64 y (-.f64 z y)))))
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 (neg.f64 z) z (*.f64 y y))) (+.f64 z y) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y z) #s(literal -1 binary64)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))
(fma.f64 (*.f64 z z) (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 z y)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) z)
(fma.f64 #s(literal -1 binary64) (neg.f64 z) y)
(fma.f64 #s(literal 1 binary64) z y)
(fma.f64 #s(literal 1 binary64) y 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)
(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)
(-.f64 (*.f64 y (/.f64 y (-.f64 y z))) (*.f64 z (/.f64 z (-.f64 y z))))
(-.f64 (*.f64 z (/.f64 z (-.f64 z y))) (*.f64 y (/.f64 y (-.f64 z y))))
(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 (*.f64 z (/.f64 z (-.f64 z y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 z y)))))
(+.f64 z y)
(+.f64 y z)

eval152.0ms (2.3%)

Memory
-7.8MiB live, 147.8MiB allocated
Compiler

Compiled 13 087 to 2 100 computations (84% saved)

prune36.0ms (0.5%)

Memory
8.1MiB live, 52.8MiB allocated
Pruning

11 alts after pruning (0 fresh and 11 done)

PrunedKeptTotal
New7500750
Fresh000
Picked033
Done088
Total75011761
Accuracy
100.0%
Counts
761 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.2%
(/.f64 (fma.f64 z x (*.f64 y x)) z)
84.0%
(/.f64 (fma.f64 y x (*.f64 z x)) z)
37.6%
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
49.5%
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
85.1%
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z y) x)))
49.5%
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x)))
93.3%
#s(approx (/ (+ (* z x) (* y x)) z) (fma.f64 (/.f64 x z) y x))
95.4%
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
50.7%
#s(approx (/ (* x (+ y z)) z) (/.f64 y (/.f64 z x)))
49.4%
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 y z) x))
50.9%
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))
Compiler

Compiled 334 to 160 computations (52.1% saved)

regimes34.0ms (0.5%)

Memory
-4.0MiB live, 34.0MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))
#s(approx (/ (* x (+ y z)) z) (*.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))
#s(approx (/ (+ (* z x) (* y x)) z) (fma.f64 (/.f64 x z) y x))
(*.f64 (/.f64 x z) (+.f64 z y))
(/.f64 (*.f64 x (+.f64 y z)) z)
#s(approx (/ (* x (+ y z)) z) (/.f64 y (/.f64 z x)))
(/.f64 (fma.f64 y x (*.f64 z x)) z)
(/.f64 (fma.f64 z x (*.f64 y x)) z)
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x)))
#s(approx (/ (* x (+ y z)) z) (/.f64 (+.f64 z y) (/.f64 z x)))
(/.f64 x (/.f64 z (+.f64 z y)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z y) x)))
(/.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) x) (*.f64 (-.f64 z y) z))
(*.f64 (pow.f64 (/.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 z y))
Outputs
#s(approx (/ (+ (* z x) (* y x)) z) (fma.f64 (/.f64 x z) y x))
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
Calls

4 calls:

18.0ms
(/.f64 (*.f64 x (+.f64 y z)) z)
5.0ms
y
5.0ms
z
5.0ms
x
Results
AccuracySegmentsBranch
97.8%2x
95.4%1y
97.0%2z
95.4%1(/.f64 (*.f64 x (+.f64 y z)) z)
Compiler

Compiled 10 to 15 computations (-50% saved)

regimes14.0ms (0.2%)

Memory
-24.6MiB live, 13.7MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))
#s(approx (/ (* x (+ y z)) z) (*.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 (+ y z)) z) (fma.f64 (/.f64 y z) x x))
Calls

2 calls:

11.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
95.4%1z
95.4%1x
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes8.0ms (0.1%)

Memory
21.6MiB live, 21.6MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))
#s(approx (/ (* x (+ y z)) z) (*.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
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))
Calls

4 calls:

2.0ms
y
2.0ms
x
2.0ms
(/.f64 (*.f64 x (+.f64 y z)) z)
2.0ms
z
Results
AccuracySegmentsBranch
70.8%3y
69.0%3z
73.0%3(/.f64 (*.f64 x (+.f64 y z)) z)
55.4%3x
Compiler

Compiled 10 to 15 computations (-50% saved)

regimes7.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated
Accuracy

Total -5.7b remaining (-18.2%)

Threshold costs -5.7b (-18.2%)

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

4 calls:

2.0ms
y
2.0ms
z
2.0ms
x
2.0ms
(/.f64 (*.f64 x (+.f64 y z)) z)
Results
AccuracySegmentsBranch
50.9%1x
50.9%1z
50.9%1y
50.9%1(/.f64 (*.f64 x (+.f64 y z)) z)
Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch19.0ms (0.3%)

Memory
-34.7MiB live, 4.0MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
19.0ms
6.42203604857924e+21
1.8848980405588687e+31
Samples
17.0ms32×0valid
Compiler

Compiled 70 to 54 computations (22.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-add: 16.0ms (96.1% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.678575298371139e+219
4.413701061234532e+230
0.0ms
4.5982513994572307e-302
1.4269335648464994e-292
Compiler

Compiled 10 to 12 computations (-20% saved)

simplify71.0ms (1%)

Memory
5.3MiB live, 49.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033104
146104
249104
350104
458104
560104
664104
771104
876104
9187104
10566104
111779104
122997104
133308104
144764104
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 500000000000000006643777536 binary64)) #s(approx (/ (+ (* z x) (* y x)) z) (fma.f64 (/.f64 x z) y x)) #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x 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 4825645764048353/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) #s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 y z)) z) #s(literal 4999999999999999982186210368447555070295488497982936555566635019853876691464555306308235805663605986147285271965158313518453714403689727987538495896636998448749816068246376395903778005238377855619279217973577406048370688 binary64)) (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) #s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))))
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))
Outputs
(if (<=.f64 x #s(literal 500000000000000006643777536 binary64)) #s(approx (/ (+ (* z x) (* y x)) z) (fma.f64 (/.f64 x z) y x)) #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)))
(if (<=.f64 x #s(literal 500000000000000006643777536 binary64)) #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x 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 4825645764048353/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) #s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 y z)) z) #s(literal 4999999999999999982186210368447555070295488497982936555566635019853876691464555306308235805663605986147285271965158313518453714403689727987538495896636998448749816068246376395903778005238377855619279217973577406048370688 binary64)) (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) #s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))))
(if (or (<=.f64 (/.f64 (*.f64 x (+.f64 y z)) z) #s(literal 4825645764048353/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) (not (<=.f64 (/.f64 (*.f64 x (+.f64 y z)) z) #s(literal 4999999999999999982186210368447555070295488497982936555566635019853876691464555306308235805663605986147285271965158313518453714403689727987538495896636998448749816068246376395903778005238377855619279217973577406048370688 binary64)))) #s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y)) (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z))
#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))

soundness1.8s (26.4%)

Memory
-130.9MiB live, 356.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067175
1232175
2625175
31802175
43767175
54430175
64783175
75346175
85614175
95674175
106988175
117816175
08018167
05094
117194
249094
3138694
4284094
5333894
6368594
7412394
8430994
9435294
10623894
11701894
12724094
13764094
14765294
15766194
0833089
0615
0915
14015
225615
3233815
0822715
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 134 to 69 computations (48.5% saved)

preprocess98.0ms (1.5%)

Memory
4.1MiB live, 76.6MiB allocated
Compiler

Compiled 300 to 114 computations (62% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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