Numeric.Log:$clog1p from log-domain-0.10.2.1, A

Time bar (total: 4.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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 13 to 10 computations (23.1% saved)

sample933.0ms (23.3%)

Memory
27.4MiB live, 988.7MiB allocated
Samples
671.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 503.0ms
ival-mult: 421.0ms (83.8% of total)
ival-add: 69.0ms (13.7% of total)
ival-true: 5.0ms (1% of total)
exact: 4.0ms (0.8% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain161.0ms (4%)

Memory
6.9MiB live, 128.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
00-0-(*.f64 x #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
00-0-(*.f64 y y)
00-0-(*.f64 x x)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
28.0ms512×0valid
Compiler

Compiled 105 to 36 computations (65.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 9.0ms (63.7% of total)
ival-add: 4.0ms (28.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess39.0ms (1%)

Memory
-27.8MiB live, 46.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02051
16849
221646
359545
4116945
5146545
6153145
0811
0139
1209
2309
3329
0328
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
Outputs
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
Symmetry

(abs y)

Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify3.0ms (0.1%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff128
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
cost-diff320
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
01326
12026
23026
33226
03225
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 x x)
(*.f64 y y)
y
Outputs
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
(*.f64 x x)
(*.f64 y y)
y

localize19.0ms (0.5%)

Memory
15.7MiB live, 15.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.0
(*.f64 x #s(literal 2 binary64))
accuracy0.00390625
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
accuracy0.0078125
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
Samples
13.0ms256×0valid
Compiler

Compiled 62 to 18 computations (71% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (58.9% of total)
ival-add: 2.0ms (29.5% 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
3.8MiB live, 3.8MiB allocated
Counts
4 → 12
Calls
Call 1
Inputs
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
Outputs
(* 2 x)
(* x (+ 2 x))
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(+ (* 2 x) (pow x 2))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x))
1.0ms
x
@inf
((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x))
1.0ms
x
@0
((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x))
0.0ms
y
@inf
((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x))
0.0ms
y
@0
((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x))

simplify110.0ms (2.7%)

Memory
6.3MiB live, 119.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03676
110176
227276
394276
4283976
5534676
0812370
Stop Event
iter limit
node limit
Counts
12 → 12
Calls
Call 1
Inputs
(* 2 x)
(* x (+ 2 x))
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(+ (* 2 x) (pow x 2))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
Outputs
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 x))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(pow y 2)
(*.f64 y y)
(+ (* 2 x) (pow y 2))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(+ (* 2 x) (pow x 2))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))

rewrite179.0ms (4.5%)

Memory
-3.2MiB live, 285.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01320
14720
240620
3619320
0805119
Stop Event
iter limit
node limit
iter limit
Counts
4 → 205
Calls
Call 1
Inputs
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
Outputs
(*.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) x))))
(*.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x (-.f64 x #s(literal 2 binary64))))))
(*.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) x) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (-.f64 #s(literal 2 binary64) x)))
(*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x))))
(*.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(*.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) x))))
(*.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 (-.f64 #s(literal 2 binary64) x) x)))
(*.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) x) (-.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64))) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 9 binary64))))))
(/.f64 (*.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 x (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x)))) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x))))))
(/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x))) x) (-.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) #s(literal 4 binary64)))) (neg.f64 (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x))))) (neg.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 8 binary64)))) (*.f64 (-.f64 #s(literal 2 binary64) x) x)))
(/.f64 (*.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 9 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 2 binary64) x) x))
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) x) x)))
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(fma.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 y y))
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 (-.f64 #s(literal 2 binary64) x) x)) (*.f64 y y))
(fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x)))))
(fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64))) (*.f64 y y))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x)))))
(fma.f64 #s(literal 2 binary64) x (fma.f64 y y (*.f64 x x)))
(fma.f64 x (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (*.f64 y y))
(fma.f64 x #s(literal 2 binary64) (fma.f64 y y (*.f64 x x)))
(fma.f64 x x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(-.f64 (fma.f64 y y (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x)))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 2 binary64) x) x))) (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 2 binary64) x) x))))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 y y))) (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 y y))))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x))))
(-.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) (*.f64 y y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y)))) #s(literal -1 binary64)))
(+.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (*.f64 x x))
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x)))))
(+.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(+.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (*.f64 y y))
(+.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(+.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 y y (*.f64 x x)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval82.0ms (2%)

Memory
-8.1MiB live, 65.8MiB allocated
Compiler

Compiled 5 727 to 663 computations (88.4% saved)

prune5.0ms (0.1%)

Memory
17.5MiB live, 17.5MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2075212
Fresh000
Picked101
Done000
Total2085213
Accuracy
100.0%
Counts
213 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
100.0%
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
68.0%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
58.8%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
49.3%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
Compiler

Compiled 132 to 92 computations (30.3% saved)

simplify8.0ms (0.2%)

Memory
-41.6MiB live, 7.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(+.f64 #s(literal 2 binary64) x)
cost-diff0
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
cost-diff0
(*.f64 y y)
cost-diff0
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
cost-diff0
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
cost-diff0
(-.f64 x #s(literal -2 binary64))
cost-diff0
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
cost-diff0
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
cost-diff0
(*.f64 y y)
cost-diff0
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
cost-diff0
(+.f64 #s(literal 2 binary64) x)
cost-diff0
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
cost-diff0
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020112
029103
140103
245103
045103
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
y
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(+.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
(*.f64 y y)
y
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(-.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
#s(literal 2 binary64)
x
(*.f64 y y)
y
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(+.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 y y)
y
Outputs
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(fma.f64 y y (*.f64 (-.f64 x #s(literal -2 binary64)) x))
y
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(+.f64 #s(literal 2 binary64) x)
(-.f64 x #s(literal -2 binary64))
#s(literal 2 binary64)
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
(*.f64 y y)
y
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(-.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(fma.f64 x #s(literal 2 binary64) (*.f64 y y))
#s(literal 2 binary64)
x
(*.f64 y y)
y
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(fma.f64 y y (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(+.f64 #s(literal 2 binary64) x)
(-.f64 x #s(literal -2 binary64))
#s(literal 2 binary64)
x
(*.f64 y y)
y

localize109.0ms (2.7%)

Memory
23.6MiB live, 60.1MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 #s(literal 2 binary64) x)
accuracy0.0
(*.f64 y y)
accuracy0.00390625
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
accuracy0.0
(*.f64 y y)
accuracy0.0078125
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
accuracy20.50153572923427
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
accuracy0.0
(-.f64 x #s(literal -2 binary64))
accuracy0.00390625
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
accuracy26.36080663596139
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
accuracy0.0
(*.f64 y y)
accuracy32.44685004529839
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
accuracy0.0
(+.f64 #s(literal 2 binary64) x)
accuracy0.00390625
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
accuracy0.00390625
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
Samples
98.0ms256×0valid
Compiler

Compiled 212 to 40 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-add: 76.0ms (88% of total)
ival-mult: 8.0ms (9.3% of total)
ival-sub: 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)

series5.0ms (0.1%)

Memory
11.4MiB live, 11.4MiB allocated
Counts
11 → 20
Calls
Call 1
Inputs
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(+.f64 #s(literal 2 binary64) x)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
(*.f64 y y)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(-.f64 x #s(literal -2 binary64))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
Outputs
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(* 2 x)
(* x (+ 2 x))
2
(+ 2 x)
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 2 (/ (pow y 2) x)))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(+ (* 2 x) (pow x 2))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((+ (* y y) (* (+ 2 x) x)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (* (- x -2) x) (- x -2) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) (+ (* (+ 2 x) x) (* y y)))
1.0ms
x
@inf
((+ (* y y) (* (+ 2 x) x)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (* (- x -2) x) (- x -2) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) (+ (* (+ 2 x) x) (* y y)))
1.0ms
y
@inf
((+ (* y y) (* (+ 2 x) x)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (* (- x -2) x) (- x -2) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) (+ (* (+ 2 x) x) (* y y)))
1.0ms
y
@-inf
((+ (* y y) (* (+ 2 x) x)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (* (- x -2) x) (- x -2) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) (+ (* (+ 2 x) x) (* y y)))
1.0ms
x
@0
((+ (* y y) (* (+ 2 x) x)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (* (- x -2) x) (- x -2) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) (+ (* (+ 2 x) x) (* y y)))

simplify183.0ms (4.6%)

Memory
4.0MiB live, 159.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046114
1143114
2391114
31473114
44095114
08198104
Stop Event
iter limit
node limit
Counts
20 → 19
Calls
Call 1
Inputs
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(* 2 x)
(* x (+ 2 x))
2
(+ 2 x)
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 2 (/ (pow y 2) x)))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(+ (* 2 x) (pow x 2))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
Outputs
(pow y 2)
(*.f64 y y)
(+ (* 2 x) (pow y 2))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 x))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 x)
(-.f64 x #s(literal -2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
x
(* x (+ 1 (* 2 (/ 1 x))))
(-.f64 x #s(literal -2 binary64))
(* x (+ 2 (/ (pow y 2) x)))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(+ (* 2 x) (pow x 2))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))

rewrite285.0ms (7.1%)

Memory
-24.8MiB live, 303.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02091
02982
112782
282982
0865582
Stop Event
iter limit
node limit
iter limit
Counts
11 → 537
Calls
Call 1
Inputs
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(+.f64 #s(literal 2 binary64) x)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
(*.f64 y y)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(-.f64 x #s(literal -2 binary64))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
Outputs
(*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 y y))))
(*.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (-.f64 x #s(literal -2 binary64)) x)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 x #s(literal 2 binary64)))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y)))))
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(fma.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y y)) #s(literal -1 binary64)) (*.f64 x x))
(fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) x) (*.f64 y y))
(fma.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (pow.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (*.f64 y y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64)) (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) x) (*.f64 y y))
(fma.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (*.f64 y y) (fma.f64 y y (*.f64 #s(literal -2 binary64) x)))) (*.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (*.f64 y y) (fma.f64 y y (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))) (*.f64 x x))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y y))))) (*.f64 x x))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (*.f64 y y) (fma.f64 y y (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y)))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 (-.f64 x #s(literal -2 binary64)) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x)))))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) (*.f64 y y))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 y y))
(fma.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y y)) (pow.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y y)) #s(literal -1 binary64))) (*.f64 x x))
(fma.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) (*.f64 y y))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(fma.f64 x (-.f64 x #s(literal -2 binary64)) (*.f64 y y))
(fma.f64 x x (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
(fma.f64 x #s(literal 2 binary64) (fma.f64 x x (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) x (fma.f64 x x (*.f64 y y)))
(fma.f64 y y (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(-.f64 (fma.f64 y y (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x))))
(-.f64 (fma.f64 x x (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y y)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y y))))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 y y))) (/.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 y y))))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y y))) (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y y))) (*.f64 x x)))
(-.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x))) (*.f64 y y)))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x))) (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x))))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x)))))
(+.f64 (fma.f64 x x (*.f64 y y)) (*.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x x (*.f64 y y)))
(+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (*.f64 x x))
(+.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(+.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
(+.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y))

eval103.0ms (2.6%)

Memory
2.4MiB live, 77.6MiB allocated
Compiler

Compiled 9 022 to 997 computations (88.9% saved)

prune5.0ms (0.1%)

Memory
19.0MiB live, 19.0MiB allocated
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New3642366
Fresh000
Picked235
Done000
Total3665371
Accuracy
100.0%
Counts
371 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
68.0%
(fma.f64 y y (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
58.8%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
49.3%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
41.2%
#s(approx (+ (* y y) (* (+ 2 x) x)) (*.f64 x x))
Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify4.0ms (0.1%)

Memory
2.8MiB live, 2.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ 2 x) #s(literal 2 binary64))
cost-diff0
(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
cost-diff0
(fma.f64 y y (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (* y y) (* (+ 2 x) x)) (*.f64 x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01242
01542
12042
22642
34042
44242
04241
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* y y) (* (+ 2 x) x)) (*.f64 x x))
(*.f64 x x)
x
(fma.f64 y y (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
y
(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
#s(approx (+ 2 x) #s(literal 2 binary64))
#s(literal 2 binary64)
x
Outputs
#s(approx (+ (* y y) (* (+ 2 x) x)) (*.f64 x x))
(*.f64 x x)
x
(fma.f64 y y (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
(fma.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x (*.f64 y y))
y
(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
#s(approx (+ 2 x) #s(literal 2 binary64))
#s(literal 2 binary64)
x

localize53.0ms (1.3%)

Memory
-24.8MiB live, 16.4MiB allocated
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(fma.f64 y y (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
accuracy0.00390625
(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
accuracy30.34341328076661
#s(approx (+ 2 x) #s(literal 2 binary64))
accuracy0.0
(*.f64 x x)
accuracy37.64024600964737
#s(approx (+ (* y y) (* (+ 2 x) x)) (*.f64 x x))
Samples
47.0ms256×0valid
Compiler

Compiled 77 to 23 computations (70.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (65.2% of total)
ival-add: 2.0ms (26.1% 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
2.1MiB live, 2.1MiB allocated
Counts
5 → 14
Calls
Call 1
Inputs
#s(approx (+ (* y y) (* (+ 2 x) x)) (*.f64 x x))
(*.f64 x x)
(fma.f64 y y (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
#s(approx (+ 2 x) #s(literal 2 binary64))
Outputs
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(pow x 2)
(* 2 x)
(* x (+ 2 x))
2
(+ 2 x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((+ (* y y) (* (+ 2 x) x)) (* x x) (+ (* y y) (* (+ 2 x) x)) (* (+ 2 x) x) (+ 2 x))
1.0ms
x
@inf
((+ (* y y) (* (+ 2 x) x)) (* x x) (+ (* y y) (* (+ 2 x) x)) (* (+ 2 x) x) (+ 2 x))
0.0ms
x
@0
((+ (* y y) (* (+ 2 x) x)) (* x x) (+ (* y y) (* (+ 2 x) x)) (* (+ 2 x) x) (+ 2 x))
0.0ms
y
@inf
((+ (* y y) (* (+ 2 x) x)) (* x x) (+ (* y y) (* (+ 2 x) x)) (* (+ 2 x) x) (+ 2 x))
0.0ms
y
@-inf
((+ (* y y) (* (+ 2 x) x)) (* x x) (+ (* y y) (* (+ 2 x) x)) (* (+ 2 x) x) (+ 2 x))

simplify136.0ms (3.4%)

Memory
16.0MiB live, 53.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03170
19870
226170
396470
4319370
5722370
0805265
Stop Event
iter limit
node limit
Counts
14 → 13
Calls
Call 1
Inputs
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(pow x 2)
(* 2 x)
(* x (+ 2 x))
2
(+ 2 x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
Outputs
(pow y 2)
(*.f64 y y)
(+ (* 2 x) (pow y 2))
(fma.f64 x #s(literal 2 binary64) (*.f64 y y))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(pow x 2)
(*.f64 x x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 x))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 x)
(-.f64 x #s(literal -2 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
x
(* x (+ 1 (* 2 (/ 1 x))))
(-.f64 x #s(literal -2 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))

rewrite233.0ms (5.8%)

Memory
7.8MiB live, 128.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01238
01538
15838
244238
3509438
0880637
Stop Event
iter limit
node limit
iter limit
Counts
5 → 83
Calls
Call 1
Inputs
#s(approx (+ (* y y) (* (+ 2 x) x)) (*.f64 x x))
(*.f64 x x)
(fma.f64 y y (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
#s(approx (+ 2 x) #s(literal 2 binary64))
Outputs
#s(approx (+ (* y y) (* (+ 2 x) x)) (*.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) (fma.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) (*.f64 y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) (*.f64 y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) (*.f64 y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 12 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) (*.f64 y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)) (-.f64 (*.f64 (-.f64 (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) (*.f64 y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (fma.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x (*.f64 y y)))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) #s(approx (+ 2 x) #s(literal 2 binary64)) (*.f64 y y)) #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) (*.f64 y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x (*.f64 y y)))
(*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (neg.f64 x) #s(approx (+ 2 x) #s(literal 2 binary64)) (*.f64 y y))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) (*.f64 y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 x) #s(approx (+ 2 x) #s(literal 2 binary64)) (*.f64 y y)) #s(literal -1 binary64)))
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(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
(*.f64 x (exp.f64 (log.f64 #s(approx (+ 2 x) #s(literal 2 binary64)))))
(*.f64 x #s(approx (+ 2 x) #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)))
#s(approx (+ 2 x) #s(literal 2 binary64))

eval114.0ms (2.8%)

Memory
-27.2MiB live, 10.9MiB allocated
Compiler

Compiled 2 864 to 249 computations (91.3% saved)

prune4.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New91091
Fresh000
Picked022
Done033
Total91596
Accuracy
100.0%
Counts
96 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
68.0%
(fma.f64 y y (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
58.8%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
49.3%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
41.2%
#s(approx (+ (* y y) (* (+ 2 x) x)) (*.f64 x x))
Compiler

Compiled 163 to 77 computations (52.8% saved)

regimes15.0ms (0.4%)

Memory
13.5MiB live, 13.5MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (+ (* y y) (* (+ 2 x) x)) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
(fma.f64 y y (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
Outputs
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
Calls

5 calls:

3.0ms
x
3.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
3.0ms
y
3.0ms
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
3.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
100.0%1(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
100.0%1(*.f64 y y)
Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes11.0ms (0.3%)

Memory
9.0MiB live, 9.0MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (+ (* y y) (* (+ 2 x) x)) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
(fma.f64 y y (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
Outputs
(fma.f64 y y (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
Calls

5 calls:

2.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
2.0ms
x
2.0ms
y
2.0ms
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
2.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
93.6%3x
85.1%4y
73.6%3(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
93.6%2(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
85.1%4(*.f64 y y)
Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes2.0ms (0.1%)

Memory
2.0MiB live, 2.0MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (+ (* y y) (* (+ 2 x) x)) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
Calls

1 calls:

2.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
Results
AccuracySegmentsBranch
93.6%2(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes62.0ms (1.5%)

Memory
-32.8MiB live, 6.7MiB allocated
Counts
3 → 4
Calls
Call 1
Inputs
#s(approx (+ (* y y) (* (+ 2 x) x)) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (* y y) (* (+ 2 x) x)) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
Calls

4 calls:

56.0ms
x
2.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
2.0ms
y
1.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
84.7%4y
84.7%4(*.f64 y y)
78.3%5x
78.3%4(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes4.0ms (0.1%)

Memory
4.6MiB live, 4.6MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (+ (* y y) (* (+ 2 x) x)) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (* y y) (* (+ 2 x) x)) (*.f64 x x))
Calls

3 calls:

1.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
1.0ms
y
1.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
75.1%2(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
67.3%4y
67.3%4(*.f64 y y)
Compiler

Compiled 11 to 11 computations (0% saved)

regimes6.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (* y y) (* (+ 2 x) x)) (*.f64 x x))
Outputs
#s(approx (+ (* y y) (* (+ 2 x) x)) (*.f64 x x))
Calls

5 calls:

1.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
1.0ms
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
1.0ms
y
1.0ms
x
1.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
41.2%1y
41.2%1(*.f64 y y)
41.2%1(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
41.2%1x
41.2%1(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
Compiler

Compiled 23 to 21 computations (8.7% saved)

bsearch1.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.486909004243913e+86
2.397535942430034e+99
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.486909004243913e+86
2.397535942430034e+99
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch23.0ms (0.6%)

Memory
7.9MiB live, 7.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
7.0ms
1.8159938798184228e+134
1.48298855520057e+135
8.0ms
2.058097119023268e+78
3.419646964398255e+79
5.0ms
3.0896532668753314e-30
5.44249473590167e-30
Samples
11.0ms272×0valid
Compiler

Compiled 472 to 365 computations (22.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (52.9% of total)
ival-add: 2.0ms (35.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.486909004243913e+86
2.397535942430034e+99
Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify138.0ms (3.4%)

Memory
-13.2MiB live, 24.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043193
157193
269193
374193
476193
580193
683193
799193
8175193
93598193
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 999999999999999959416724456350362731491996089648451439669739009806703922950954425516032 binary64)) (fma.f64 y y (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x)))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 999999999999999959416724456350362731491996089648451439669739009806703922950954425516032 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y))) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x)))
(if (<=.f64 (*.f64 y y) #s(literal 6565339386447415/1427247692705959881058285969449495136382746624 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x)) (if (<=.f64 (*.f64 y y) #s(literal 23500000000000001125196417184886418651668608416580533526321403332404400422387712 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) (if (<=.f64 (*.f64 y y) #s(literal 320000000000000007152375155032595178723149097631160305935322765724808475527754995071238512378979219040324882266803998518493393438375936 binary64)) #s(approx (+ (* y y) (* (+ 2 x) x)) (*.f64 x x)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)))))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 999999999999999959416724456350362731491996089648451439669739009806703922950954425516032 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) #s(approx (+ (* y y) (* (+ 2 x) x)) (*.f64 x x)))
#s(approx (+ (* y y) (* (+ 2 x) x)) (*.f64 x x))
Outputs
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 999999999999999959416724456350362731491996089648451439669739009806703922950954425516032 binary64)) (fma.f64 y y (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x)))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 999999999999999959416724456350362731491996089648451439669739009806703922950954425516032 binary64)) (fma.f64 y y (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)) #s(approx (+ (* y y) (* (+ 2 x) x)) (*.f64 (-.f64 x #s(literal -2 binary64)) x)))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 999999999999999959416724456350362731491996089648451439669739009806703922950954425516032 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y))) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x)))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 999999999999999959416724456350362731491996089648451439669739009806703922950954425516032 binary64)) #s(approx (+ (* y y) (* (+ 2 x) x)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y))) #s(approx (+ (* y y) (* (+ 2 x) x)) (*.f64 (-.f64 x #s(literal -2 binary64)) x)))
(if (<=.f64 (*.f64 y y) #s(literal 6565339386447415/1427247692705959881058285969449495136382746624 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x)) (if (<=.f64 (*.f64 y y) #s(literal 23500000000000001125196417184886418651668608416580533526321403332404400422387712 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) (if (<=.f64 (*.f64 y y) #s(literal 320000000000000007152375155032595178723149097631160305935322765724808475527754995071238512378979219040324882266803998518493393438375936 binary64)) #s(approx (+ (* y y) (* (+ 2 x) x)) (*.f64 x x)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)))))
(if (<=.f64 (*.f64 y y) #s(literal 6565339386447415/1427247692705959881058285969449495136382746624 binary64)) #s(approx (+ (* y y) (* (+ 2 x) x)) (*.f64 (-.f64 x #s(literal -2 binary64)) x)) (if (or (<=.f64 (*.f64 y y) #s(literal 23500000000000001125196417184886418651668608416580533526321403332404400422387712 binary64)) (not (<=.f64 (*.f64 y y) #s(literal 320000000000000007152375155032595178723149097631160305935322765724808475527754995071238512378979219040324882266803998518493393438375936 binary64)))) #s(approx (+ (* y y) (* (+ 2 x) x)) (*.f64 y y)) #s(approx (+ (* y y) (* (+ 2 x) x)) (*.f64 x x))))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 999999999999999959416724456350362731491996089648451439669739009806703922950954425516032 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) #s(approx (+ (* y y) (* (+ 2 x) x)) (*.f64 x x)))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 999999999999999959416724456350362731491996089648451439669739009806703922950954425516032 binary64)) #s(approx (+ (* y y) (* (+ 2 x) x)) (*.f64 y y)) #s(approx (+ (* y y) (* (+ 2 x) x)) (*.f64 x x)))
#s(approx (+ (* y y) (* (+ 2 x) x)) (*.f64 x x))

soundness925.0ms (23.1%)

Memory
1.9MiB live, 406.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03676
110176
227276
394276
4283976
5534676
0812370
046114
1143114
2391114
31473114
44095114
08198104
0824
01320
14720
240620
3619320
0805119
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 380 to 141 computations (62.9% saved)

preprocess44.0ms (1.1%)

Memory
-15.2MiB live, 107.3MiB allocated
Remove

(abs y)

Compiler

Compiled 446 to 126 computations (71.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...