Graphics.Rendering.Chart.Drawing:drawTextsR from Chart-1.5.3

Time bar (total: 5.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample721.0ms (14.4%)

Memory
29.9MiB live, 900.2MiB allocated
Samples
422.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 219.0ms
ival-mult: 126.0ms (57.5% of total)
ival-sub: 41.0ms (18.7% of total)
ival-add: 38.0ms (17.3% of total)
ival-true: 6.0ms (2.7% of total)
exact: 5.0ms (2.3% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

explain108.0ms (2.2%)

Memory
-2.4MiB live, 158.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
50-0-(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
00-0-(*.f64 (-.f64 x #s(literal 1 binary64)) z)
00-0-y
00-0-(-.f64 x #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-z
00-0-(*.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))nan-rescue50
(*.f64 x y)overflow29
(*.f64 (-.f64 x #s(literal 1 binary64)) z)overflow24
Confusion
Predicted +Predicted -
+50
-0251
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+500
-00251
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0251
15
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
31.0ms512×0valid
Compiler

Compiled 109 to 50 computations (54.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 7.0ms (43.2% of total)
ival-sub: 6.0ms (37.1% of total)
ival-add: 2.0ms (12.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess88.0ms (1.8%)

Memory
-7.3MiB live, 74.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03290
18083
217881
348266
4108364
5186664
6229264
7235464
8236264
9236264
089
0129
1209
2279
3397
4507
5687
61117
71827
83707
95807
106707
116807
06807
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
Outputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
(fma.f64 (+.f64 z y) x (neg.f64 z))
Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify29.0ms (0.6%)

Memory
-21.0MiB live, 17.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
cost-diff0
(*.f64 x y)
cost-diff320
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0824
01224
12024
22724
33922
45022
56822
611122
718222
837022
958022
1067022
1168022
068022
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
(*.f64 x y)
x
y
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
z
Outputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
z

localize18.0ms (0.4%)

Memory
21.2MiB live, 21.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 x #s(literal 1 binary64))
accuracy0
(*.f64 x y)
accuracy0.00390625
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
accuracy1.253895929151029
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
Samples
13.0ms256×0valid
Compiler

Compiled 50 to 18 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (49.4% of total)
ival-sub: 1.0ms (16.5% of total)
ival-add: 1.0ms (16.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated
Counts
4 → 22
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
(*.f64 x y)
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(-.f64 x #s(literal 1 binary64))
Outputs
(* -1 z)
(+ (* -1 z) (* x (+ y z)))
(* x y)
(+ (* -1 z) (* x z))
-1
(- x 1)
(* x (+ y z))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x z)
(* x (+ z (* -1 (/ z x))))
x
(* x (- 1 (/ 1 x)))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(* -1 (* x (+ (* -1 z) (/ z x))))
(* -1 (* x (- (/ 1 x) 1)))
(* z (- x 1))
(+ (* x y) (* z (- x 1)))
(* y (+ x (/ (* z (- x 1)) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(* z (- (+ x (/ (* x y) z)) 1))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
Calls

9 calls:

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

simplify150.0ms (3%)

Memory
-20.3MiB live, 97.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054113
1180105
2532105
31340105
44428105
08093105
Stop Event
iter limit
node limit
Counts
22 → 21
Calls
Call 1
Inputs
(* -1 z)
(+ (* -1 z) (* x (+ y z)))
(* x y)
(+ (* -1 z) (* x z))
-1
(- x 1)
(* x (+ y z))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x z)
(* x (+ z (* -1 (/ z x))))
x
(* x (- 1 (/ 1 x)))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(* -1 (* x (+ (* -1 z) (/ z x))))
(* -1 (* x (- (/ 1 x) 1)))
(* z (- x 1))
(+ (* x y) (* z (- x 1)))
(* y (+ x (/ (* z (- x 1)) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(* z (- (+ x (/ (* x y) z)) 1))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
Outputs
(* -1 z)
(neg.f64 z)
(+ (* -1 z) (* x (+ y z)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* x y)
(*.f64 y x)
(+ (* -1 z) (* x z))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(* x (+ y (+ z (* -1 (/ z x)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* x z)
(*.f64 z x)
(* x (+ z (* -1 (/ z x))))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
x
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(*.f64 (+.f64 z y) x)
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* -1 (* x (+ (* -1 z) (/ z x))))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(+ (* x y) (* z (- x 1)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* y (+ x (/ (* z (- x 1)) y)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* z (- (+ x (/ (* x y) z)) 1))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))

rewrite270.0ms (5.4%)

Memory
-5.0MiB live, 226.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
01220
14520
231120
3385420
01040919
Stop Event
iter limit
node limit
iter limit
Counts
4 → 280
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
(*.f64 x y)
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(-.f64 x #s(literal 1 binary64))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) (*.f64 y x)) (*.f64 z (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) (*.f64 y x)) (*.f64 z (-.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) (*.f64 y x)) (*.f64 z (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) (*.f64 y x)) (*.f64 z (-.f64 x #s(literal 1 binary64)))) (-.f64 (*.f64 (-.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) (*.f64 y x)) (*.f64 z (-.f64 x #s(literal 1 binary64)))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 y x)))
(*.f64 (-.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) (*.f64 y x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 y x)) (fma.f64 (*.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (*.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (*.f64 (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 y x)) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 y x)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x))))
(*.f64 (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 y x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x)) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 y x)))
(pow.f64 (/.f64 (-.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) (*.f64 y x)) (-.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) (*.f64 y x))) (*.f64 (-.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 (-.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) (*.f64 y x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x)))) (*.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x))) (neg.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))))) (*.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x)))))
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x))) (*.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x))) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (*.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x))) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x))))
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (*.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x))) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))))
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(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (/.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (*.f64 (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) (*.f64 (/.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (*.f64 (/.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (fma.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -3 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(expm1.f64 (log.f64 x))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 x #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal -1 binary64))

eval37.0ms (0.7%)

Memory
0.6MiB live, 87.4MiB allocated
Compiler

Compiled 7 082 to 1 016 computations (85.7% saved)

prune6.0ms (0.1%)

Memory
19.1MiB live, 19.1MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2845289
Fresh000
Picked101
Done000
Total2855290
Accuracy
100.0%
Counts
290 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.8%
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (*.f64 z x)))
100.0%
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
62.6%
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
64.8%
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
37.9%
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
Compiler

Compiled 144 to 110 computations (23.6% saved)

simplify34.0ms (0.7%)

Memory
-13.4MiB live, 25.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
022130
031130
147130
258122
393122
4163122
5304122
6614122
7801122
8867122
9888122
10907122
11921122
12924122
0924121
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(+.f64 z y)
z
y
x
(neg.f64 z)
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
(neg.f64 z)
z
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
(*.f64 (+.f64 z y) x)
(+.f64 z y)
z
y
x
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
z
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (*.f64 z x)))
(*.f64 x y)
x
y
#s(approx (* (- x 1) z) (*.f64 z x))
(*.f64 z x)
z
Outputs
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(+.f64 z y)
z
y
x
(neg.f64 z)
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
(neg.f64 z)
z
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
(*.f64 (+.f64 z y) x)
(+.f64 z y)
z
y
x
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
z
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (*.f64 z x)))
(fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x)))
(*.f64 x y)
(*.f64 y x)
x
y
#s(approx (* (- x 1) z) (*.f64 z x))
(*.f64 z x)
z

localize107.0ms (2.1%)

Memory
14.9MiB live, 52.2MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 z x)
accuracy0
(*.f64 x y)
accuracy1.253895929151029
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (*.f64 z x)))
accuracy30.491139173656492
#s(approx (* (- x 1) z) (*.f64 z x))
accuracy0
(-.f64 x #s(literal 1 binary64))
accuracy0.00390625
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
accuracy23.95511562441878
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
accuracy0
(+.f64 z y)
accuracy0.00390625
(*.f64 (+.f64 z y) x)
accuracy22.555729101239404
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
accuracy0
(neg.f64 z)
accuracy39.77067140834632
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
accuracy0
(+.f64 z y)
accuracy0
(neg.f64 z)
accuracy0
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
accuracy0.00390625
(fma.f64 (+.f64 z y) x (neg.f64 z))
Samples
95.0ms256×0valid
Compiler

Compiled 232 to 38 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-mult: 75.0ms (92.8% of total)
ival-add: 3.0ms (3.7% of total)
ival-sub: 1.0ms (1.2% of total)
ival-neg: 1.0ms (1.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
12.9MiB live, 12.9MiB allocated
Counts
14 → 42
Calls
Call 1
Inputs
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(+.f64 z y)
(neg.f64 z)
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
(*.f64 (+.f64 z y) x)
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(-.f64 x #s(literal 1 binary64))
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (*.f64 z x)))
(*.f64 x y)
#s(approx (* (- x 1) z) (*.f64 z x))
(*.f64 z x)
Outputs
(* -1 z)
(+ (* -1 z) (* x (+ y z)))
(- (* x (+ y z)) z)
(* x (+ y z))
(+ (* -1 z) (* x z))
-1
(- x 1)
(* x y)
(* x z)
(* x (+ y (+ z (* -1 (/ z x)))))
(* x (+ z (* -1 (/ z x))))
x
(* x (- 1 (/ 1 x)))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(* -1 (* x (+ (* -1 (+ y z)) (/ z x))))
(* -1 (* x (+ (* -1 z) (/ z x))))
(* -1 (* x (- (/ 1 x) 1)))
(* z (- x 1))
(+ (* x y) (* z (- x 1)))
(- (* x z) z)
(- (+ (* x y) (* x z)) z)
z
(+ y z)
(+ (* x y) (* x z))
(* y (+ x (/ (* z (- x 1)) y)))
(* y (- (+ x (/ (* x z) y)) (/ z y)))
y
(* y (+ 1 (/ z y)))
(* y (+ x (/ (* x z) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y)))))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* z (- (+ x (/ (* x y) z)) 1))
(* z (+ 1 (/ y z)))
(* z (+ x (/ (* x y) z)))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -1 x))))
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z))))))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
Calls

9 calls:

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

simplify131.0ms (2.6%)

Memory
15.2MiB live, 157.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100199
1346199
21017199
32572199
45294199
57123199
08107199
Stop Event
iter limit
node limit
Counts
42 → 39
Calls
Call 1
Inputs
(* -1 z)
(+ (* -1 z) (* x (+ y z)))
(- (* x (+ y z)) z)
(* x (+ y z))
(+ (* -1 z) (* x z))
-1
(- x 1)
(* x y)
(* x z)
(* x (+ y (+ z (* -1 (/ z x)))))
(* x (+ z (* -1 (/ z x))))
x
(* x (- 1 (/ 1 x)))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(* -1 (* x (+ (* -1 (+ y z)) (/ z x))))
(* -1 (* x (+ (* -1 z) (/ z x))))
(* -1 (* x (- (/ 1 x) 1)))
(* z (- x 1))
(+ (* x y) (* z (- x 1)))
(- (* x z) z)
(- (+ (* x y) (* x z)) z)
z
(+ y z)
(+ (* x y) (* x z))
(* y (+ x (/ (* z (- x 1)) y)))
(* y (- (+ x (/ (* x z) y)) (/ z y)))
y
(* y (+ 1 (/ z y)))
(* y (+ x (/ (* x z) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y)))))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* z (- (+ x (/ (* x y) z)) 1))
(* z (+ 1 (/ y z)))
(* z (+ x (/ (* x y) z)))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -1 x))))
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z))))))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
Outputs
(* -1 z)
(neg.f64 z)
(+ (* -1 z) (* x (+ y z)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(- (* x (+ y z)) z)
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(+ (* -1 z) (* x z))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* x z)
(*.f64 z x)
(* x (+ y (+ z (* -1 (/ z x)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* x (+ z (* -1 (/ z x))))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
x
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(*.f64 (+.f64 z y) x)
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* -1 (* x (+ (* -1 (+ y z)) (/ z x))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* -1 (* x (+ (* -1 z) (/ z x))))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* z (- x 1))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(+ (* x y) (* z (- x 1)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(- (* x z) z)
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(- (+ (* x y) (* x z)) z)
(fma.f64 (+.f64 z y) x (neg.f64 z))
z
(+ y z)
(+.f64 z y)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
(* y (+ x (/ (* z (- x 1)) y)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* y (- (+ x (/ (* x z) y)) (/ z y)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
y
(* y (+ 1 (/ z y)))
(+.f64 z y)
(* y (+ x (/ (* x z) y)))
(*.f64 (+.f64 z y) x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 z y) x)
(* z (- (+ x (/ (* x y) z)) 1))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* z (+ 1 (/ y z)))
(+.f64 z y)
(* z (+ x (/ (* x y) z)))
(*.f64 (+.f64 z y) x)
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* -1 (* z (+ 1 (* -1 x))))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z))))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 (+.f64 z y) x)

rewrite357.0ms (7.1%)

Memory
-44.4MiB live, 220.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022112
031112
1106112
274696
0943691
Stop Event
iter limit
node limit
iter limit
Counts
14 → 535
Calls
Call 1
Inputs
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(+.f64 z y)
(neg.f64 z)
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
(*.f64 (+.f64 z y) x)
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(-.f64 x #s(literal 1 binary64))
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (*.f64 z x)))
(*.f64 x y)
#s(approx (* (- x 1) z) (*.f64 z x))
(*.f64 z x)
Outputs
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (-.f64 y z) x z))
(*.f64 (/.f64 (fma.f64 (-.f64 y z) x z) (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 y z) x z) (pow.f64 (fma.f64 z (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (-.f64 y z) x z) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 y z) x z) (pow.f64 (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (fma.f64 z x z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z x (-.f64 z (*.f64 y x)))))
(*.f64 (pow.f64 (fma.f64 (-.f64 y z) x z) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 z z)))
(*.f64 (fma.f64 z (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) (*.f64 (fma.f64 (-.f64 y z) x z) (pow.f64 (fma.f64 z (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 (-.f64 y z) x))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 z z)) (pow.f64 (fma.f64 (-.f64 y z) x z) #s(literal -1 binary64)))
(*.f64 (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (fma.f64 (-.f64 y z) x z) (pow.f64 (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 z x z) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (fma.f64 (-.f64 y z) x z)))))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (*.f64 (-.f64 y z) x) (fma.f64 (-.f64 y z) x z)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 z (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (-.f64 y z) x z) (*.f64 (fma.f64 (-.f64 y z) x z) (pow.f64 (fma.f64 (-.f64 y z) x z) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y z) x z))
(pow.f64 (pow.f64 (fma.f64 (-.f64 y z) x z) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 (-.f64 y z) x z) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 z z)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 y z) x z) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 4 binary64)) (pow.f64 (*.f64 z (fma.f64 (-.f64 y z) x z)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 z (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) (pow.f64 (fma.f64 z (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (-.f64 y z) x) z) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 y z) x z) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 9 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 9 binary64))) (pow.f64 (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (fma.f64 z x z) y) x) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 z (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 1 binary64)) (fma.f64 (-.f64 y z) x z))
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(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64))) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x))))))
(/.f64 (+.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))))))
(/.f64 (+.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) (-.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))))) (+.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)))) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64))) (neg.f64 (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (neg.f64 (fma.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(fma.f64 (*.f64 y #s(literal 1 binary64)) x #s(approx (* (- x 1) z) (*.f64 z x)))
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))))))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) #s(approx (* (- x 1) z) (*.f64 z x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))
(fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x)))
(fma.f64 x (*.f64 #s(literal 1 binary64) y) #s(approx (* (- x 1) z) (*.f64 z x)))
(fma.f64 x y #s(approx (* (- x 1) z) (*.f64 z x)))
(-.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x))))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))) (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))))
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))) (neg.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))))))
(+.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x))
(+.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))
(*.f64 (*.f64 y #s(literal 1 binary64)) x)
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 y x)
(*.f64 x (*.f64 #s(literal 1 binary64) y))
(*.f64 x y)
#s(approx (* (- x 1) z) (*.f64 z x))
(*.f64 (*.f64 x #s(literal -1 binary64)) z)
(*.f64 (*.f64 z x) #s(literal -1 binary64))
(*.f64 (*.f64 z x) #s(literal 1 binary64))
(*.f64 z x)
(*.f64 #s(literal 1 binary64) (*.f64 z x))
(*.f64 x z)
(/.f64 (*.f64 x (*.f64 z z)) z)
(/.f64 (*.f64 x (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z #s(literal 0 binary64)))
(neg.f64 (*.f64 z x))
(fma.f64 #s(literal 0 binary64) x (*.f64 z x))
(fma.f64 x #s(literal 0 binary64) (*.f64 z x))
(+.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 z x))
(+.f64 (*.f64 x #s(literal 0 binary64)) (*.f64 z x))

eval99.0ms (2%)

Memory
13.9MiB live, 125.5MiB allocated
Compiler

Compiled 17 481 to 1 881 computations (89.2% saved)

prune16.0ms (0.3%)

Memory
-5.7MiB live, 39.5MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New6213624
Fresh000
Picked145
Done000
Total6227629
Accuracy
100.0%
Counts
629 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.2%
(fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x)))
100.0%
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
27.1%
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z))
62.6%
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
64.8%
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
37.9%
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
2.5%
#s(approx (+ (* x y) (* (- x 1) z)) z)
Compiler

Compiled 96 to 73 computations (24% saved)

simplify49.0ms (1%)

Memory
-8.2MiB live, 29.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

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

Useful iterations: 3 (0.0ms)

IterNodesCost
01459
01859
13059
23759
34955
46655
58455
615755
726355
847955
965055
1076255
1186755
1289255
1390655
1490955
090955
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* x y) (* (- x 1) z)) z)
z
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z))
(fma.f64 z x z)
z
x
(fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x)))
y
x
#s(approx (* (- x 1) z) (*.f64 z x))
(*.f64 z x)
z
Outputs
#s(approx (+ (* x y) (* (- x 1) z)) z)
z
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z))
(fma.f64 z x z)
z
x
(fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x)))
y
x
#s(approx (* (- x 1) z) (*.f64 z x))
(*.f64 z x)
z

localize72.0ms (1.4%)

Memory
-0.6MiB live, 38.7MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 z x)
accuracy1.0038952404222408
(fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x)))
accuracy30.491139173656492
#s(approx (* (- x 1) z) (*.f64 z x))
accuracy0
(fma.f64 z x z)
accuracy46.67828730456964
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z))
accuracy62.40694130168096
#s(approx (+ (* x y) (* (- x 1) z)) z)
Samples
64.0ms256×0valid
Compiler

Compiled 107 to 28 computations (73.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 51.0ms (91.2% of total)
ival-add: 3.0ms (5.4% of total)
ival-sub: 1.0ms (1.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB allocated
Counts
6 → 23
Calls
Call 1
Inputs
#s(approx (+ (* x y) (* (- x 1) z)) z)
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z))
(fma.f64 z x z)
(fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x)))
#s(approx (* (- x 1) z) (*.f64 z x))
(*.f64 z x)
Outputs
(* -1 z)
(+ (* -1 z) (* x (+ y z)))
z
(+ z (* x z))
(+ (* -1 z) (* x z))
(* x z)
(* x (+ y z))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x (+ z (/ z x)))
(* x (+ z (* -1 (/ z x))))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 z) (/ z x))))
(* z (- x 1))
(+ (* x y) (* z (- x 1)))
(* x y)
(* y (+ x (/ (* z (- x 1)) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(* z (+ 1 x))
(* z (- (+ x (/ (* x y) z)) 1))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(* -1 (* z (- (* -1 x) 1)))
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@-inf
((+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (+ (* z x) z) (+ (* y x) (* (- x 1) z)) (* (- x 1) z) (* z x))
1.0ms
x
@-inf
((+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (+ (* z x) z) (+ (* y x) (* (- x 1) z)) (* (- x 1) z) (* z x))
1.0ms
z
@inf
((+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (+ (* z x) z) (+ (* y x) (* (- x 1) z)) (* (- x 1) z) (* z x))
1.0ms
x
@inf
((+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (+ (* z x) z) (+ (* y x) (* (- x 1) z)) (* (- x 1) z) (* z x))
0.0ms
x
@0
((+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (+ (* z x) z) (+ (* y x) (* (- x 1) z)) (* (- x 1) z) (* z x))

simplify137.0ms (2.7%)

Memory
5.1MiB live, 118.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059128
1204120
2586120
31594120
44252120
56327120
08146115
Stop Event
iter limit
node limit
Counts
23 → 22
Calls
Call 1
Inputs
(* -1 z)
(+ (* -1 z) (* x (+ y z)))
z
(+ z (* x z))
(+ (* -1 z) (* x z))
(* x z)
(* x (+ y z))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x (+ z (/ z x)))
(* x (+ z (* -1 (/ z x))))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 z) (/ z x))))
(* z (- x 1))
(+ (* x y) (* z (- x 1)))
(* x y)
(* y (+ x (/ (* z (- x 1)) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(* z (+ 1 x))
(* z (- (+ x (/ (* x y) z)) 1))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(* -1 (* z (- (* -1 x) 1)))
Outputs
(* -1 z)
(neg.f64 z)
(+ (* -1 z) (* x (+ y z)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
z
(+ z (* x z))
(fma.f64 z x z)
(+ (* -1 z) (* x z))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(* x z)
(*.f64 z x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(* x (+ y (+ z (* -1 (/ z x)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* x (+ z (/ z x)))
(fma.f64 z x z)
(* x (+ z (* -1 (/ z x))))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(*.f64 (+.f64 z y) x)
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* -1 (* x (+ (* -1 z) (* -1 (/ z x)))))
(fma.f64 z x z)
(* -1 (* x (+ (* -1 z) (/ z x))))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(* z (- x 1))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(+ (* x y) (* z (- x 1)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* x y)
(*.f64 y x)
(* y (+ x (/ (* z (- x 1)) y)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* z (+ 1 x))
(fma.f64 z x z)
(* z (- (+ x (/ (* x y) z)) 1))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* -1 (* z (- (* -1 x) 1)))
(fma.f64 z x z)

rewrite185.0ms (3.7%)

Memory
30.1MiB live, 222.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01453
01853
18453
256053
3655353
0805151
Stop Event
iter limit
node limit
iter limit
Counts
6 → 163
Calls
Call 1
Inputs
#s(approx (+ (* x y) (* (- x 1) z)) z)
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z))
(fma.f64 z x z)
(fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x)))
#s(approx (* (- x 1) z) (*.f64 z x))
(*.f64 z x)
Outputs
#s(approx (+ (* x y) (* (- x 1) z)) z)
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z))
(*.f64 (/.f64 (*.f64 z (*.f64 (fma.f64 x x #s(literal -1 binary64)) z)) (-.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (fma.f64 z x z) (pow.f64 (*.f64 z x) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 z x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 z (*.f64 z x)) z) #s(literal 2 binary64)))) (fma.f64 z (*.f64 (fma.f64 x x #s(literal -1 binary64)) z) (*.f64 (*.f64 z z) x)))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 z (*.f64 z x)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 z (*.f64 z x)) z) (-.f64 (*.f64 (-.f64 z (*.f64 z x)) z) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (pow.f64 (*.f64 z x) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 z (*.f64 (fma.f64 x x #s(literal -1 binary64)) z)) (*.f64 z (*.f64 (fma.f64 x x #s(literal -1 binary64)) z))) (fma.f64 z x z))
(*.f64 (*.f64 z (-.f64 z (*.f64 (*.f64 x x) z))) (pow.f64 (-.f64 z (*.f64 z x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 z (*.f64 (fma.f64 x x #s(literal -1 binary64)) z)))
(*.f64 (pow.f64 (*.f64 z (fma.f64 (*.f64 x x) z (-.f64 z (*.f64 z x)))) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64))))
(*.f64 (neg.f64 (*.f64 z (*.f64 (fma.f64 x x #s(literal -1 binary64)) z))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (neg.f64 (*.f64 z (fma.f64 (*.f64 x x) z (-.f64 z (*.f64 z x))))) #s(literal -1 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 x #s(literal -1 binary64)) z)
(*.f64 (*.f64 z (*.f64 (fma.f64 x x #s(literal -1 binary64)) z)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 z (fma.f64 (*.f64 x x) z (-.f64 z (*.f64 z x)))) (/.f64 (fma.f64 z x z) (*.f64 z (fma.f64 (*.f64 x x) z (-.f64 z (*.f64 z x))))))
(*.f64 (*.f64 z (fma.f64 (*.f64 x x) z (-.f64 z (*.f64 z x)))) (*.f64 (fma.f64 z x z) (pow.f64 (*.f64 z (fma.f64 (*.f64 x x) z (-.f64 z (*.f64 z x)))) #s(literal -1 binary64))))
(*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (*.f64 z (fma.f64 (*.f64 x x) z (-.f64 z (*.f64 z x)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 z x z) (/.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) (*.f64 z (-.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 z x z) (*.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
(*.f64 z (-.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 z x z))
(pow.f64 (/.f64 (-.f64 z (*.f64 z x)) (*.f64 z (-.f64 z (*.f64 (*.f64 x x) z)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 z x z) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 z x z) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) z) (-.f64 #s(literal 1 binary64) x))
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(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) #s(approx (* (- x 1) z) (*.f64 z x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
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(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))) (*.f64 (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))) (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 4 binary64))) (*.f64 (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 6 binary64))) (*.f64 (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))) (+.f64 (+.f64 (pow.f64 (*.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) #s(approx (* (- x 1) z) (*.f64 z x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)))
(/.f64 (+.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 9 binary64)) (pow.f64 (*.f64 y x) #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) #s(approx (* (- x 1) z) (*.f64 z x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 6 binary64))) (pow.f64 (*.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) #s(approx (* (- x 1) z) (*.f64 z x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64))) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x))) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) #s(approx (* (- x 1) z) (*.f64 z x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) (-.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)))) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) #s(approx (* (- x 1) z) (*.f64 z x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64))) (neg.f64 (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) #s(approx (* (- x 1) z) (*.f64 z x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 3 binary64)))) (fma.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))))))
(fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)))) (fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x))) (neg.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))))))
(fma.f64 (*.f64 y #s(literal 1 binary64)) x #s(approx (* (- x 1) z) (*.f64 z x)))
(fma.f64 (*.f64 (*.f64 x x) y) (/.f64 y (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))) (neg.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))))))
(fma.f64 (*.f64 (*.f64 y y) x) (/.f64 x (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))) (neg.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))))))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))) (neg.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))))))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))) (neg.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))))))
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))))))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))
(fma.f64 (*.f64 y x) (/.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))) (neg.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))))))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) #s(approx (* (- x 1) z) (*.f64 z x)))
(fma.f64 y (/.f64 (*.f64 (*.f64 x x) y) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))) (neg.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))))))
(fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x)))
(fma.f64 x (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))) (neg.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))))))
(fma.f64 x (*.f64 #s(literal 1 binary64) y) #s(approx (* (- x 1) z) (*.f64 z x)))
(fma.f64 x y #s(approx (* (- x 1) z) (*.f64 z x)))
(-.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x))))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))) (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))) (neg.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))))))
(+.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x))
(+.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))
#s(approx (* (- x 1) z) (*.f64 z x))
(*.f64 (*.f64 z #s(literal 1 binary64)) x)
(*.f64 (*.f64 z x) #s(literal 1 binary64))
(*.f64 z x)
(*.f64 #s(literal 1 binary64) (*.f64 z x))
(*.f64 x (*.f64 #s(literal 1 binary64) z))
(*.f64 x z)

eval62.0ms (1.2%)

Memory
-55.7MiB live, 93.5MiB allocated
Compiler

Compiled 6 250 to 536 computations (91.4% saved)

prune5.0ms (0.1%)

Memory
27.6MiB live, 27.6MiB allocated
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New1701171
Fresh000
Picked033
Done044
Total1708178
Accuracy
100.0%
Counts
178 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.2%
(fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x)))
100.0%
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
27.1%
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z))
62.6%
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
64.8%
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
40.1%
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
37.9%
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
2.5%
#s(approx (+ (* x y) (* (- x 1) z)) z)
Compiler

Compiled 109 to 83 computations (23.9% saved)

simplify20.0ms (0.4%)

Memory
-24.2MiB live, 14.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

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

Useful iterations: 3 (0.0ms)

IterNodesCost
01018
01118
11918
22618
33816
44916
56716
611116
718316
837116
957516
1066516
1167716
067716
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
(*.f64 y x)
y
x
Outputs
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
(*.f64 y x)
y
x

localize60.0ms (1.2%)

Memory
8.1MiB live, 44.2MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y x)
accuracy38.30567739881893
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
Samples
55.0ms256×0valid
Compiler

Compiled 34 to 21 computations (38.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (69.4% of total)
ival-sub: 1.0ms (11.6% of total)
ival-add: 1.0ms (11.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
13.8MiB live, 13.8MiB allocated
Counts
2 → 13
Calls
Call 1
Inputs
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
(*.f64 y x)
Outputs
(* -1 z)
(+ (* -1 z) (* x (+ y z)))
(* x y)
(* x (+ y z))
(* x (+ y (+ z (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(* z (- x 1))
(+ (* x y) (* z (- x 1)))
(* y (+ x (/ (* z (- x 1)) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(* z (- (+ x (/ (* x y) z)) 1))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((+ (* x y) (* (- x 1) z)) (* y x))
0.0ms
y
@-inf
((+ (* x y) (* (- x 1) z)) (* y x))
0.0ms
x
@inf
((+ (* x y) (* (- x 1) z)) (* y x))
0.0ms
x
@0
((+ (* x y) (* (- x 1) z)) (* y x))
0.0ms
y
@inf
((+ (* x y) (* (- x 1) z)) (* y x))

simplify439.0ms (8.8%)

Memory
-21.2MiB live, 102.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04384
115076
247376
3124376
4356576
5625976
0830576
Stop Event
iter limit
node limit
Counts
13 → 13
Calls
Call 1
Inputs
(* -1 z)
(+ (* -1 z) (* x (+ y z)))
(* x y)
(* x (+ y z))
(* x (+ y (+ z (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(* z (- x 1))
(+ (* x y) (* z (- x 1)))
(* y (+ x (/ (* z (- x 1)) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(* z (- (+ x (/ (* x y) z)) 1))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
Outputs
(* -1 z)
(neg.f64 z)
(+ (* -1 z) (* x (+ y z)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* x y)
(*.f64 y x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(* x (+ y (+ z (* -1 (/ z x)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(*.f64 (+.f64 z y) x)
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* z (- x 1))
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(+ (* x y) (* z (- x 1)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* y (+ x (/ (* z (- x 1)) y)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* z (- (+ x (/ (* x y) z)) 1))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))

rewrite212.0ms (4.2%)

Memory
22.3MiB live, 213.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01016
01116
14416
231016
3387116
01042515
Stop Event
iter limit
node limit
iter limit
Counts
2 → 12
Calls
Call 1
Inputs
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
(*.f64 y x)
Outputs
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
(*.f64 (exp.f64 (log.f64 y)) x)
(*.f64 (*.f64 y #s(literal 1 binary64)) x)
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 x (exp.f64 (log.f64 y)))
(*.f64 x (*.f64 #s(literal 1 binary64) y))
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y x)))

eval2.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Compiler

Compiled 252 to 50 computations (80.2% saved)

prune4.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New17017
Fresh000
Picked011
Done077
Total17825
Accuracy
100.0%
Counts
25 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.2%
(fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x)))
100.0%
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
27.1%
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z))
62.6%
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
64.8%
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
40.1%
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
37.9%
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
2.5%
#s(approx (+ (* x y) (* (- x 1) z)) z)
Compiler

Compiled 240 to 113 computations (52.9% saved)

regimes48.0ms (1%)

Memory
-5.6MiB live, 45.4MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x y) (* (- x 1) z)) z)
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
(fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x)))
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (*.f64 z x)))
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
Outputs
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
Calls

4 calls:

36.0ms
z
4.0ms
y
4.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
4.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes28.0ms (0.6%)

Memory
-8.5MiB live, 28.7MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x y) (* (- x 1) z)) z)
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
Outputs
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
Calls

4 calls:

19.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
3.0ms
z
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
88.7%3x
83.2%3y
86.0%3z
77.8%5(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes19.0ms (0.4%)

Memory
-16.3MiB live, 20.4MiB allocated
Counts
4 → 6
Calls
Call 1
Inputs
#s(approx (+ (* x y) (* (- x 1) z)) z)
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z))
Outputs
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
Calls

4 calls:

12.0ms
y
2.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
53.4%5(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
59.2%3y
64.0%4z
70.4%6x
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes2.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x y) (* (- x 1) z)) z)
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
Outputs
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
64.2%3x
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.1%)

Memory
16.2MiB live, 16.2MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x y) (* (- x 1) z)) z)
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
Outputs
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
Calls

4 calls:

2.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
2.0ms
z
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
37.9%1(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
37.9%1y
37.9%1z
37.9%1x
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes23.0ms (0.5%)

Memory
-24.3MiB live, 13.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x y) (* (- x 1) z)) z)
Outputs
#s(approx (+ (* x y) (* (- x 1) z)) z)
Calls

4 calls:

19.0ms
x
1.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
2.5%1x
2.5%1z
2.5%1(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
2.5%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch35.0ms (0.7%)

Memory
2.0MiB live, 47.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
4.6944396819488504e-33
9.235180245899785e-26
9.0ms
-1.5508389881719852e-59
-7.179370500944294e-62
Samples
20.0ms256×0valid
Compiler

Compiled 444 to 382 computations (14% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-add: 9.0ms (63.2% of total)
ival-mult: 3.0ms (21.1% of total)
ival-sub: 1.0ms (7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch100.0ms (2%)

Memory
30.7MiB live, 141.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
40.0ms
3.3987381673980146e+157
3.8667493959663033e+160
29.0ms
2.3802703164910035e-8
79764135919941.92
1.0ms
-1.5508389881719852e-59
-7.179370500944294e-62
15.0ms
-1.8143733172653487e+25
-12878911740072114000.0
10.0ms
-1.3338564723256342e+204
-4.0666100775208403e+201
Samples
74.0ms576×0valid
Compiler

Compiled 1 148 to 960 computations (16.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 26.0ms (80.5% of total)
ival-sub: 3.0ms (9.3% of total)
ival-add: 2.0ms (6.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
4.6944396819488504e-33
9.235180245899785e-26
1.0ms
-1.5508389881719852e-59
-7.179370500944294e-62
Compiler

Compiled 412 to 366 computations (11.2% saved)

simplify29.0ms (0.6%)

Memory
-25.3MiB live, 63.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040235
149235
251235
352235
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
(if (<=.f64 x #s(literal -7815966023518843/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 178405961588245/11150372599265311570767859136324180752990208 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))))
(if (<=.f64 x #s(literal -399999999999999995507643150025317790603737839318199691990013939536117044729447467377770787784002759380743682138222568981925970452302952494566101548778170495658972779864956204711492351920865703458408235008 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) (if (<=.f64 x #s(literal -5500000000000000000000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z)) (if (<=.f64 x #s(literal -7815966023518843/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) (if (<=.f64 x #s(literal 31999999999999997711510207589389464713783471041903010180157788413688717001756611955735688976151878418367413453805385584758455479350040980781410012250774255435776 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)))))))
(if (<=.f64 x #s(literal -7815966023518843/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) (if (<=.f64 x #s(literal 178405961588245/11150372599265311570767859136324180752990208 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))))
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
#s(approx (+ (* x y) (* (- x 1) z)) z)
Outputs
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
(if (<=.f64 x #s(literal -7815966023518843/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 178405961588245/11150372599265311570767859136324180752990208 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))))
(if (<=.f64 x #s(literal -399999999999999995507643150025317790603737839318199691990013939536117044729447467377770787784002759380743682138222568981925970452302952494566101548778170495658972779864956204711492351920865703458408235008 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) (if (<=.f64 x #s(literal -5500000000000000000000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z)) (if (<=.f64 x #s(literal -7815966023518843/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) (if (<=.f64 x #s(literal 31999999999999997711510207589389464713783471041903010180157788413688717001756611955735688976151878418367413453805385584758455479350040980781410012250774255435776 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)))))))
(if (<=.f64 x #s(literal -7815966023518843/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) (if (<=.f64 x #s(literal 178405961588245/11150372599265311570767859136324180752990208 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))))
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
#s(approx (+ (* x y) (* (- x 1) z)) z)

soundness1.2s (24%)

Memory
9.9MiB live, 452.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059128
1204120
2586120
31594120
44252120
56327120
08146115
054113
1180105
2532105
31340105
44428105
08093105
022112
031112
1106112
274696
0943691
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 323 to 136 computations (57.9% saved)

preprocess60.0ms (1.2%)

Memory
-11.3MiB live, 64.0MiB allocated
Compiler

Compiled 488 to 98 computations (79.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...