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

Time bar (total: 6.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.9MiB live, 0.9MiB 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)

sample1.5s (24.2%)

Memory
29.3MiB live, 1 489.1MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 716.0ms
ival-mult: 589.0ms (82.3% of total)
ival-add: 109.0ms (15.2% of total)
ival-true: 7.0ms (1% of total)
exact: 6.0ms (0.8% of total)
ival-assert: 4.0ms (0.6% of total)
Bogosity

explain230.0ms (3.7%)

Memory
-13.1MiB live, 267.0MiB 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
31.0ms512×0valid
Compiler

Compiled 75 to 28 computations (62.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 10.0ms (64.4% of total)
ival-add: 4.0ms (25.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess184.0ms (3%)

Memory
-11.9MiB live, 104.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02051
18249
227346
356245
4106545
5141945
6186345
7240745
8330245
9416045
10477845
11492045
12498045
13501045
14501045
15525045
16568245
17568245
18568245
0811
0139
1349
21089
32599
44189
55439
66779
78409
813909
916689
1019429
1120189
1221129
1321309
021308
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 x #s(literal -2 binary64)) x (*.f64 y y))
Symmetry

(abs y)

Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB 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)

simplify40.0ms (0.6%)

Memory
-1.8MiB live, 43.5MiB 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-diff1
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
cost-diff2
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
01326
13426
210826
325926
441826
554326
667726
784026
8139026
9166826
10194226
11201826
12211226
13213026
0213025
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 x #s(literal -2 binary64)) x (*.f64 y y))
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (-.f64 x #s(literal -2 binary64)) 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

localize49.0ms (0.8%)

Memory
4.8MiB live, 47.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y y)
accuracy0.0
(*.f64 x x)
accuracy0.0
(*.f64 x #s(literal 2 binary64))
accuracy0.0078125
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
Samples
44.0ms256×0valid
Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (68.2% of total)
ival-add: 2.0ms (22.7% 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
9.4MiB live, 9.4MiB allocated
Counts
5 → 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)
(*.f64 y y)
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) (* y y))
1.0ms
x
@inf
((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x) (* y y))
1.0ms
x
@0
((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x) (* y y))
1.0ms
y
@inf
((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x) (* y y))
0.0ms
y
@-inf
((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x) (* y y))

simplify248.0ms (4%)

Memory
-19.9MiB live, 272.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036104
110998
238994
3209188
0868184
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 #s(literal 2 binary64) x) 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 #s(literal 2 binary64) x) x (*.f64 y y))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 (/.f64 (*.f64 y y) x) x (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(fma.f64 (/.f64 (*.f64 y y) x) x (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(+ (* 2 x) (pow x 2))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) y) y)

rewrite164.0ms (2.6%)

Memory
35.5MiB live, 265.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
01323
16123
255423
0942722
Stop Event
iter limit
node limit
iter limit
Counts
5 → 373
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)
(*.f64 y y)
Outputs
(*.f64 (/.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 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) #s(literal 2 binary64))) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 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 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (*.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 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))) (fma.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)) (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))))
(*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) x) x))
(*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (+.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) 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 (-.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 #s(literal 2 binary64) x) x)
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 2 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 x (-.f64 x #s(literal -2 binary64)))
(*.f64 x (+.f64 #s(literal 2 binary64) (neg.f64 x)))
(*.f64 x (-.f64 x #s(literal 2 binary64)))
(*.f64 x (-.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) x)) x)
(/.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 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 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 (+.f64 #s(literal 2 binary64) x) x #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)))) (*.f64 (-.f64 #s(literal 2 binary64) x) x))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))))) (*.f64 (-.f64 #s(literal 2 binary64) x) 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 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))))))
(/.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) (-.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) 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 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 2 binary64) x) x)) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 9 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 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) x (*.f64 x x)))
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(+.f64 (+.f64 (fma.f64 y y (*.f64 x x)) x) x)
(+.f64 (fma.f64 y y (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(literal 2 binary64) x))))) (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(literal 2 binary64) x))))))
(+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 y) y)) (*.f64 x x))
(+.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (*.f64 x x))
(+.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 #s(literal 2 binary64) x))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (*.f64 (neg.f64 y) y)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (*.f64 y y)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (*.f64 y y)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (*.f64 (neg.f64 y) y)))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y))))
(+.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 (neg.f64 y) y) (*.f64 (-.f64 #s(literal 2 binary64) x) x))
(+.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 2 binary64) x) x))
(+.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 (neg.f64 y) y))
(+.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 y y))
(+.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x (*.f64 (neg.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 (neg.f64 x) x (*.f64 y y)))
(+.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 y y (*.f64 x x)))
(+.f64 x (-.f64 x (fma.f64 y y (*.f64 x x))))
(+.f64 x (-.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))))
(+.f64 x (+.f64 x (fma.f64 y y (*.f64 x x))))
(+.f64 x (+.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)))
(fabs.f64 (*.f64 #s(literal -2 binary64) x))
(fabs.f64 (*.f64 #s(literal 2 binary64) x))
(+.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))

eval65.0ms (1%)

Memory
-36.7MiB live, 159.0MiB allocated
Compiler

Compiled 10 092 to 955 computations (90.5% saved)

prune6.0ms (0.1%)

Memory
33.9MiB live, 33.9MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3784382
Fresh000
Picked101
Done000
Total3794383
Accuracy
100.0%
Counts
383 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.2%
(fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
63.7%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
59.5%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
47.9%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
Compiler

Compiled 60 to 41 computations (31.7% saved)

simplify135.0ms (2.2%)

Memory
9.0MiB live, 197.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(-.f64 x y)
cost-diff0
(+.f64 x y)
cost-diff1
(fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
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 #s(literal 2 binary64) x)
cost-diff0
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
cost-diff0
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
cost-diff0
(*.f64 y y)
cost-diff0
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01998
02892
16491
220491
362891
4123991
5261391
6477891
0806688
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#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 #s(literal 2 binary64) x) x))
(*.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)) (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 x y) (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
(+.f64 x y)
x
y
(-.f64 x y)
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
Outputs
#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 #s(literal 2 binary64) x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(+.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) x (*.f64 y y))
#s(literal 2 binary64)
x
(*.f64 y y)
y
(fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 (neg.f64 y) y))
(+.f64 x y)
(+.f64 y x)
x
y
(-.f64 x y)
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

localize135.0ms (2.2%)

Memory
-25.1MiB live, 75.8MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
accuracy0.0
(-.f64 x y)
accuracy0.0
(+.f64 x y)
accuracy0.0
(*.f64 #s(literal 2 binary64) x)
accuracy0.0
(*.f64 y y)
accuracy0.00390625
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
accuracy23.208643315474596
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
accuracy0.0
(+.f64 #s(literal 2 binary64) x)
accuracy0.015625
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
accuracy25.903384974113518
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
accuracy0.0
(*.f64 y y)
accuracy33.347589941558965
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
Samples
85.0ms256×0valid
Compiler

Compiled 85 to 18 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-mult: 67.0ms (89.3% of total)
ival-add: 6.0ms (8% of total)
ival-sub: 1.0ms (1.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated
Counts
11 → 45
Calls
Call 1
Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
(*.f64 y y)
#s(approx (+ (+ (* x 2) (* x x)) (* 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)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
(+.f64 x y)
(-.f64 x y)
(*.f64 #s(literal 2 binary64) x)
Outputs
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(* 2 x)
(* x (+ 2 x))
2
(+ 2 x)
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ 2 (+ y (* -1 y)))))
(+ (* -1 (pow y 2)) (* x (+ 2 (+ x (+ y (* -1 y))))))
y
(+ x y)
(* -1 y)
(- x y)
(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 (/ y x)) (+ (* 2 (/ 1 x)) (/ y x)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ 1 x)) (/ y x))))))
(* x (+ 1 (/ y x)))
(* x (+ 1 (* -1 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (+ y (* -1 y))) 2) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) 2) x))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (/ y x) 1)))
(+ (* 2 x) (pow x 2))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(+ (* 2 x) (+ (* y (+ x (* -1 x))) (pow x 2)))
(+ (* 2 x) (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)))
(+ x (* -1 y))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (* 2 (/ x (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1))
(* y (+ 1 (/ x y)))
(* y (- (/ x y) 1))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* 2 x) (pow x 2)) y)))) y)) 1))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((+ (+ (* x 2) (* x x)) (* y y)) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) (+ (* (+ x y) (- x y)) (* 2 x)) (+ x y) (- x y) (* 2 x))
1.0ms
x
@-inf
((+ (+ (* x 2) (* x x)) (* y y)) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) (+ (* (+ x y) (- x y)) (* 2 x)) (+ x y) (- x y) (* 2 x))
1.0ms
y
@inf
((+ (+ (* x 2) (* x x)) (* y y)) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) (+ (* (+ x y) (- x y)) (* 2 x)) (+ x y) (- x y) (* 2 x))
1.0ms
x
@0
((+ (+ (* x 2) (* x x)) (* y y)) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) (+ (* (+ x y) (- x y)) (* 2 x)) (+ x y) (- x y) (* 2 x))
1.0ms
y
@-inf
((+ (+ (* x 2) (* x x)) (* y y)) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) (+ (* (+ x y) (- x y)) (* 2 x)) (+ x y) (- x y) (* 2 x))

simplify315.0ms (5.1%)

Memory
-1.0MiB live, 187.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0131345
1459299
21836282
08495270
Stop Event
iter limit
node limit
Counts
45 → 43
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)
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ 2 (+ y (* -1 y)))))
(+ (* -1 (pow y 2)) (* x (+ 2 (+ x (+ y (* -1 y))))))
y
(+ x y)
(* -1 y)
(- x y)
(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 (/ y x)) (+ (* 2 (/ 1 x)) (/ y x)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ 1 x)) (/ y x))))))
(* x (+ 1 (/ y x)))
(* x (+ 1 (* -1 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (+ y (* -1 y))) 2) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) 2) x))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (/ y x) 1)))
(+ (* 2 x) (pow x 2))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(+ (* 2 x) (+ (* y (+ x (* -1 x))) (pow x 2)))
(+ (* 2 x) (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)))
(+ x (* -1 y))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (* 2 (/ x (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1))
(* y (+ 1 (/ x y)))
(* y (- (/ x y) 1))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* 2 x) (pow x 2)) y)))) y)) 1))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
Outputs
(pow y 2)
(*.f64 y y)
(+ (* 2 x) (pow y 2))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(+ (* 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))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(+ (* -1 (pow y 2)) (* x (+ 2 (+ y (* -1 y)))))
(fma.f64 (neg.f64 y) y (*.f64 #s(literal 2 binary64) x))
(+ (* -1 (pow y 2)) (* x (+ 2 (+ x (+ y (* -1 y))))))
(fma.f64 (neg.f64 y) y (*.f64 (-.f64 x #s(literal -2 binary64)) x))
y
(+ x y)
(+.f64 y x)
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x 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))
x
(* x (+ 1 (* 2 (/ 1 x))))
(-.f64 x #s(literal -2 binary64))
(* x (+ 2 (/ (pow y 2) x)))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* 2 (/ 1 x)) (/ y x)))))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ 1 x)) (/ y x))))))
(fma.f64 (neg.f64 y) y (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x 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 y y (*.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (+ y (* -1 y))) 2) x))))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(* (pow x 2) (+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) 2) x))))
(fma.f64 (neg.f64 y) y (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(* -1 (* x (- (/ y x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(+ (* 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))
(+ (* 2 x) (+ (* y (+ x (* -1 x))) (pow x 2)))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(+ (* 2 x) (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)))
(fma.f64 (neg.f64 y) y (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(+ x (* -1 y))
(-.f64 x y)
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (-.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) y) y)
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64) #s(literal 1 binary64)) y) y)
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (* 2 (/ x (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1))
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (-.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) y) y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* 2 x) (pow x 2)) y)))) y)) 1))
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (-.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) y) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 (/.f64 x y) y (neg.f64 y))

rewrite746.0ms (12%)

Memory
-5.6MiB live, 285.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01986
02880
114279
2115279
0840576
Stop Event
iter limit
node limit
iter limit
Counts
11 → 592
Calls
Call 1
Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
(*.f64 y y)
#s(approx (+ (+ (* x 2) (* x x)) (* 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)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
(+.f64 x y)
(-.f64 x y)
(*.f64 #s(literal 2 binary64) x)
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
(*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) x) (/.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 2 binary64) x)))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(*.f64 x (-.f64 #s(literal 2 binary64) (neg.f64 x)))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 x 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 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x))))) (fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (*.f64 x (-.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (*.f64 x x)) (-.f64 (fma.f64 x x x) x))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64))))))) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64)))))))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64))))))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (*.f64 (neg.f64 (neg.f64 x)) x))) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 (neg.f64 x)) x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 x (*.f64 (neg.f64 x) x)) (-.f64 x (*.f64 (neg.f64 x) x)))) (-.f64 x (-.f64 x (*.f64 (neg.f64 x) x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 x (*.f64 x x)) (+.f64 x (*.f64 x x)))) (-.f64 x (+.f64 x (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.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 (*.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (fma.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x x x) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64)))))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64))))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64))))))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 (neg.f64 (neg.f64 x)) x) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (*.f64 (neg.f64 (neg.f64 x)) x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 (neg.f64 x)) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 x (*.f64 (neg.f64 x) x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (-.f64 x (*.f64 (neg.f64 x) x)) (-.f64 x (*.f64 (neg.f64 x) x))) (*.f64 x (-.f64 x (*.f64 (neg.f64 x) x))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (+.f64 x (*.f64 x x)) (+.f64 x (*.f64 x x))) (*.f64 x (+.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) x)) (neg.f64 (-.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) x)) (neg.f64 (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (neg.f64 (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 x) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 x (-.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) x) (-.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x (-.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64))))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (-.f64 x (*.f64 (neg.f64 x) x)))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (+.f64 x (*.f64 x x)))
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 x (-.f64 #s(literal 2 binary64) x))))
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(fma.f64 (/.f64 x (-.f64 x y)) (/.f64 x (/.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (+.f64 y x)))
(fma.f64 (/.f64 x (-.f64 x y)) (/.f64 x (/.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))
(-.f64 x y)
(+.f64 (/.f64 (*.f64 y (-.f64 x y)) (+.f64 y x)) (/.f64 (*.f64 x (-.f64 x y)) (+.f64 y x)))
(+.f64 (/.f64 (*.f64 x (-.f64 x y)) (+.f64 y x)) (/.f64 (*.f64 y (-.f64 x y)) (+.f64 y x)))
(+.f64 (/.f64 (*.f64 (-.f64 x y) y) (+.f64 y x)) (/.f64 (*.f64 (-.f64 x y) x) (+.f64 y x)))
(+.f64 (/.f64 (*.f64 (-.f64 x y) x) (+.f64 y x)) (/.f64 (*.f64 (-.f64 x y) y) (+.f64 y x)))
(+.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (+.f64 y x)))
(+.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (neg.f64 (-.f64 x x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (fabs.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (fabs.f64 (-.f64 x x)))
(/.f64 (fabs.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x x)) (/.f64 (*.f64 x x) (-.f64 x x)))
(fabs.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)))
(fabs.f64 (*.f64 #s(literal 2 binary64) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(+.f64 x x)

eval445.0ms (7.1%)

Memory
16.3MiB live, 208.9MiB allocated
Compiler

Compiled 21 664 to 2 137 computations (90.1% saved)

prune42.0ms (0.7%)

Memory
-7.1MiB live, 38.3MiB allocated
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New6295634
Fresh000
Picked224
Done000
Total6317638
Accuracy
100.0%
Counts
638 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.5%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (*.f64 #s(literal 2 binary64) x)))
63.7%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
59.5%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
59.5%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
18.3%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
47.9%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
43.0%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
Compiler

Compiled 208 to 136 computations (34.6% saved)

simplify39.0ms (0.6%)

Memory
-24.7MiB live, 29.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (*.f64 #s(literal 2 binary64) x)))
cost-diff1
(fma.f64 x x (*.f64 #s(literal 2 binary64) x))
cost-diff0
(fma.f64 x x x)
cost-diff0
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
cost-diff1
(+.f64 (fma.f64 x x x) x)
cost-diff0
#s(approx (+ 2 x) #s(literal 2 binary64))
cost-diff0
(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
cost-diff0
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
cost-diff0
(fma.f64 y y x)
cost-diff0
(+.f64 (fma.f64 y y x) x)
cost-diff0
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023140
031126
169126
2172126
3381126
4601126
51008126
61340126
71667126
81753126
91847126
101863126
01863121
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
(+.f64 (fma.f64 y y x) x)
(fma.f64 y y x)
y
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (* x 2) (* x x)) (* 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))
#s(literal 2 binary64)
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
(+.f64 (fma.f64 x x x) x)
(fma.f64 x x x)
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (*.f64 #s(literal 2 binary64) x)))
(fma.f64 x x (*.f64 #s(literal 2 binary64) x))
x
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(+.f64 (fma.f64 y y x) x)
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(fma.f64 y y x)
y
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (* x 2) (* x x)) (* 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))
#s(literal 2 binary64)
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(+.f64 (fma.f64 x x x) x)
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(fma.f64 x x x)
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(fma.f64 x x (*.f64 #s(literal 2 binary64) x))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
x
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

localize46.0ms (0.7%)

Memory
34.4MiB live, 81.8MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 x x (*.f64 #s(literal 2 binary64) x))
accuracy0.0
(*.f64 #s(literal 2 binary64) x)
accuracy25.903384974113518
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (*.f64 #s(literal 2 binary64) x)))
accuracy0.0
(fma.f64 x x x)
accuracy0.01953125
(+.f64 (fma.f64 x x x) x)
accuracy25.903384974113518
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
accuracy0.015625
(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
accuracy25.903384974113518
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
accuracy30.70556100415266
#s(approx (+ 2 x) #s(literal 2 binary64))
accuracy0.0
(*.f64 x x)
accuracy36.451655957083545
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
accuracy0.0
(fma.f64 y y x)
accuracy0.0
(+.f64 (fma.f64 y y x) x)
accuracy23.208643315474596
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
Samples
35.0ms256×0valid
Compiler

Compiled 110 to 18 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 9.0ms (50.6% of total)
ival-add: 8.0ms (45% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series28.0ms (0.4%)

Memory
-33.6MiB live, 13.2MiB allocated
Counts
14 → 25
Calls
Call 1
Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
(+.f64 (fma.f64 y y x) x)
(fma.f64 y y x)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
(*.f64 x x)
#s(approx (+ (+ (* x 2) (* x x)) (* 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))
(+.f64 (fma.f64 x x x) x)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
(fma.f64 x x x)
(fma.f64 x x (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 2 binary64) x)
Outputs
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(+ x (pow y 2))
(pow x 2)
(* 2 x)
(* x (+ 2 x))
2
(+ 2 x)
x
(* x (+ 1 x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(* x (+ 2 (/ (pow y 2) x)))
(* x (+ 1 (/ (pow y 2) x)))
(* x (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 1)))
(+ (* 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)))))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(* (pow y 2) (+ 1 (/ x (pow y 2))))
Calls

6 calls:

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

simplify248.0ms (4%)

Memory
14.9MiB live, 345.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055185
1179179
2584175
32873171
08433160
Stop Event
iter limit
node limit
Counts
25 → 24
Calls
Call 1
Inputs
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(+ x (pow y 2))
(pow x 2)
(* 2 x)
(* x (+ 2 x))
2
(+ 2 x)
x
(* x (+ 1 x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(* x (+ 2 (/ (pow y 2) x)))
(* x (+ 1 (/ (pow y 2) x)))
(* x (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 1)))
(+ (* 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)))))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(* (pow y 2) (+ 1 (/ x (pow y 2))))
Outputs
(pow y 2)
(*.f64 y y)
(+ (* 2 x) (pow y 2))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(+ x (pow y 2))
(fma.f64 y y x)
(pow x 2)
(*.f64 x x)
(* 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))
x
(* x (+ 1 x))
(fma.f64 x 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)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x #s(literal 2 binary64)) x)
(* x (+ 2 (/ (pow y 2) x)))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(* x (+ 1 (/ (pow y 2) x)))
(fma.f64 y y x)
(* x (+ 1 (* 2 (/ 1 x))))
(-.f64 x #s(literal -2 binary64))
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(*.f64 (fma.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x #s(literal 2 binary64)) x)
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (neg.f64 y) x) y) #s(literal 2 binary64)))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (neg.f64 y) x) y) #s(literal 1 binary64)))
(+ (* 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)))))
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (-.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) y) y)
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64) #s(literal 1 binary64)) y) y)
(* (pow y 2) (+ 1 (/ x (pow y 2))))
(*.f64 (fma.f64 (/.f64 x (*.f64 y y)) y y) y)

rewrite216.0ms (3.5%)

Memory
19.6MiB live, 347.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023132
031118
1158118
21449118
09216113
Stop Event
iter limit
node limit
iter limit
Counts
14 → 372
Calls
Call 1
Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
(+.f64 (fma.f64 y y x) x)
(fma.f64 y y x)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
(*.f64 x x)
#s(approx (+ (+ (* x 2) (* x x)) (* 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))
(+.f64 (fma.f64 x x x) x)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
(fma.f64 x x x)
(fma.f64 x x (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 2 binary64) x)
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))))))))
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(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (fma.f64 x x x) x)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 (fma.f64 x x x) x)))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (fma.f64 x x x) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (fma.f64 x x x) x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x)) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 x (-.f64 #s(literal 2 binary64) x))))
(+.f64 (fma.f64 x x x) x)
(+.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x x))
(+.f64 x (fma.f64 x x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (neg.f64 (-.f64 x x)))
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (fabs.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (fabs.f64 (-.f64 x x)))
(/.f64 (fabs.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) (fabs.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x x)) (/.f64 (*.f64 x x) (-.f64 x x)))
(fabs.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)))
(fabs.f64 (*.f64 #s(literal 2 binary64) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(+.f64 x x)

eval36.0ms (0.6%)

Memory
-18.5MiB live, 72.7MiB allocated
Compiler

Compiled 9 219 to 1 064 computations (88.5% saved)

prune5.0ms (0.1%)

Memory
20.7MiB live, 20.7MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New2801281
Fresh000
Picked235
Done022
Total2826288
Accuracy
100.0%
Counts
288 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.5%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 (+.f64 #s(literal 1 binary64) x) x x))
63.7%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
59.5%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
18.3%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
47.9%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
43.0%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
Compiler

Compiled 102 to 68 computations (33.3% saved)

simplify33.0ms (0.5%)

Memory
-8.8MiB live, 37.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 (+.f64 #s(literal 1 binary64) x) x x))
cost-diff1
(fma.f64 (+.f64 #s(literal 1 binary64) x) x x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01229
01527
14225
212725
333825
462925
5102425
6136425
7158125
8168025
9169925
0169924
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 (+.f64 #s(literal 1 binary64) x) x x))
(fma.f64 (+.f64 #s(literal 1 binary64) x) x x)
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 (+.f64 #s(literal 1 binary64) x) x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(fma.f64 (+.f64 #s(literal 1 binary64) x) x x)
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

localize34.0ms (0.5%)

Memory
27.8MiB live, 75.2MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 #s(literal 1 binary64) x)
accuracy0.00390625
(fma.f64 (+.f64 #s(literal 1 binary64) x) x x)
accuracy25.903384974113518
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 (+.f64 #s(literal 1 binary64) x) x x))
Samples
28.0ms256×0valid
Compiler

Compiled 25 to 14 computations (44% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 16.0ms (76.4% of total)
ival-add: 5.0ms (23.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory
-26.2MiB live, 10.1MiB allocated
Counts
3 → 16
Calls
Call 1
Inputs
(fma.f64 (+.f64 #s(literal 1 binary64) x) x x)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 (+.f64 #s(literal 1 binary64) x) x x))
(+.f64 #s(literal 1 binary64) x)
Outputs
(* 2 x)
(* x (+ 2 x))
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
1
(+ 1 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 (/ 1 x)))
(* (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
15.0ms
x
@inf
((+ (* (+ 1 x) x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ 1 x))
1.0ms
x
@-inf
((+ (* (+ 1 x) x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ 1 x))
0.0ms
x
@0
((+ (* (+ 1 x) x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ 1 x))
0.0ms
y
@-inf
((+ (* (+ 1 x) x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ 1 x))
0.0ms
y
@inf
((+ (* (+ 1 x) x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ 1 x))

simplify241.0ms (3.9%)

Memory
4.8MiB live, 243.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039112
1121106
2404102
3215998
0842592
Stop Event
iter limit
node limit
Counts
16 → 15
Calls
Call 1
Inputs
(* 2 x)
(* x (+ 2 x))
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
1
(+ 1 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 (/ 1 x)))
(* (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 y y (*.f64 #s(literal 2 binary64) x))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 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 (*.f64 (/.f64 y x) x)))
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y (*.f64 (/.f64 y x) x)))
(+ (* 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)))))
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (-.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) y) y)

rewrite140.0ms (2.2%)

Memory
-0.1MiB live, 183.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01227
01525
19123
280323
0869322
Stop Event
iter limit
node limit
iter limit
Counts
3 → 141
Calls
Call 1
Inputs
(fma.f64 (+.f64 #s(literal 1 binary64) x) x x)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 (+.f64 #s(literal 1 binary64) x) x x))
(+.f64 #s(literal 1 binary64) x)
Outputs
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) x) (/.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 2 binary64) x)))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(*.f64 x (-.f64 #s(literal 2 binary64) (neg.f64 x)))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (fma.f64 x x x) x)) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (fma.f64 x x x) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (fma.f64 x x x) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 x x x) x)))) (+.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (fma.f64 x x x) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 x x x) x))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x))))) (fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x))) (fma.f64 x x (*.f64 #s(literal -2 binary64) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 (neg.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (*.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x))) (+.f64 x (*.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))))) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))))))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (fma.f64 x x x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (fma.f64 x x x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (fma.f64 x x x) x)) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (fma.f64 x x x) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (fma.f64 x x x) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 x x x) x)) (*.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (fma.f64 x x x) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 x x x) x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.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 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (*.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (*.f64 x (*.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 x (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64)))))))
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(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (fma.f64 x x x) x)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 (fma.f64 x x x) x)))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (fma.f64 x x x) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (fma.f64 x x x) x)))
(+.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 x (-.f64 #s(literal 2 binary64) x))))
(+.f64 (fma.f64 x x x) x)
(+.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x x))
(+.f64 x (fma.f64 x x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) (-.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)

eval18.0ms (0.3%)

Memory
43.7MiB live, 43.7MiB allocated
Compiler

Compiled 5 567 to 638 computations (88.5% saved)

prune8.0ms (0.1%)

Memory
-27.4MiB live, 18.2MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New1520152
Fresh000
Picked011
Done055
Total1526158
Accuracy
100.0%
Counts
158 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.5%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 (+.f64 #s(literal 1 binary64) x) x x))
63.7%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
59.5%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
18.3%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
47.9%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
43.0%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
Compiler

Compiled 279 to 109 computations (60.9% saved)

regimes20.0ms (0.3%)

Memory
-4.8MiB live, 53.0MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 (+.f64 #s(literal 1 binary64) x) x x))
#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 x (*.f64 #s(literal 2 binary64) x)))
(fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
(+.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))
Calls

5 calls:

6.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
3.0ms
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%1(*.f64 y y)
100.0%1(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
100.0%1(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
100.0%1x
100.0%1y
Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes17.0ms (0.3%)

Memory
2.1MiB live, 49.1MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 (+.f64 #s(literal 1 binary64) x) x x))
#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 x (*.f64 #s(literal 2 binary64) x)))
(fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
Calls

5 calls:

4.0ms
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
3.0ms
x
3.0ms
y
3.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
3.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
83.6%2(*.f64 y y)
93.9%2(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
72.2%4(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
94.2%3x
83.6%2y
Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes8.0ms (0.1%)

Memory
20.8MiB live, 20.8MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
Calls

4 calls:

2.0ms
x
2.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
2.0ms
y
2.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
83.6%2(*.f64 y y)
83.6%2y
80.9%3x
80.9%3(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes8.0ms (0.1%)

Memory
-27.6MiB live, 19.2MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
Calls

4 calls:

2.0ms
(*.f64 y y)
2.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
2.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
78.2%3x
78.2%2(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
67.1%2(*.f64 y y)
70.2%4y
Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes5.0ms (0.1%)

Memory
14.9MiB live, 14.9MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

5 calls:

1.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
1.0ms
x
1.0ms
y
1.0ms
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
1.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
43.0%1(*.f64 y y)
43.0%1y
43.0%1(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
43.0%1x
43.0%1(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
Compiler

Compiled 23 to 21 computations (8.7% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.132399568756369e+33
1.4060702990063691e+66
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch18.0ms (0.3%)

Memory
-22.8MiB live, 24.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
1.910642594155983e+93
2.0012063731149238e+96
Samples
12.0ms128×0valid
Compiler

Compiled 270 to 205 computations (24.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 8.0ms (85.3% of total)
ival-add: 1.0ms (10.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.132399568756369e+33
1.4060702990063691e+66
Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify38.0ms (0.6%)

Memory
9.4MiB live, 58.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028131
149131
2122131
3274131
4446131
5594131
6939131
73527131
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 4999999999999999727876154935214080 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x)))
(if (<=.f64 y #s(literal 2699999999999999943430567975497509262527314464338374361932812232746669335615762987671879680000 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) 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 4999999999999999727876154935214080 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
Outputs
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 4999999999999999727876154935214080 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x)))
(if (<=.f64 y #s(literal 2699999999999999943430567975497509262527314464338374361932812232746669335615762987671879680000 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) 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 4999999999999999727876154935214080 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

soundness603.0ms (9.7%)

Memory
-3.5MiB live, 519.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036104
110998
238994
3209188
0868184
01986
02880
114279
2115279
0840576
0131345
1459299
21836282
08495270
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 198 to 75 computations (62.1% saved)

preprocess86.0ms (1.4%)

Memory
31.3MiB live, 130.6MiB allocated
Remove

(abs y)

Compiler

Compiled 378 to 122 computations (67.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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