Data.Random.Distribution.Normal:normalTail from random-fu-0.2.6.2

Time bar (total: 5.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×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 9 to 7 computations (22.2% saved)

sample561.0ms (11.1%)

Memory
40.1MiB live, 690.3MiB allocated
Samples
357.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 183.0ms
ival-add: 90.0ms (49.1% of total)
ival-mult: 84.0ms (45.9% of total)
ival-true: 6.0ms (3.3% of total)
ival-assert: 3.0ms (1.6% of total)
Bogosity

explain81.0ms (1.6%)

Memory
-24.3MiB live, 137.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (*.f64 x x) y)
00-0-(+.f64 (+.f64 (*.f64 x x) y) y)
00-0-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
29.0ms512×0valid
Compiler

Compiled 62 to 24 computations (61.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-add: 12.0ms (71.1% of total)
ival-mult: 4.0ms (23.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess353.0ms (7%)

Memory
19.1MiB live, 300.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01537
16236
220735
369735
4163035
5205935
6235935
7427935
8486735
9531335
10583135
11740535
057
087
1177
2447
31527
44747
58047
614447
734497
842117
949977
1053497
1157037
1262447
1365017
080426
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x x) y) y)
Outputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
Symmetry

(abs x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 (+.f64 (*.f64 x x) y) y)
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify229.0ms (4.5%)

Memory
-3.0MiB live, 160.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff-128
(+.f64 (+.f64 (*.f64 x x) y) y)
cost-diff0
(*.f64 x x)
cost-diff128
(+.f64 (*.f64 x x) y)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0517
0817
11717
24417
315217
447417
580417
6144417
7344917
8421117
9499717
10534917
11570317
12624417
13650117
0804215
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 (*.f64 x x) y)
(*.f64 x x)
x
y
Outputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(+.f64 (*.f64 x x) y)
(fma.f64 x x y)
(*.f64 x x)
x
y

localize17.0ms (0.3%)

Memory
-12.5MiB live, 25.0MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 (*.f64 x x) y)
accuracy0
(*.f64 x x)
accuracy0.00390625
(+.f64 (+.f64 (*.f64 x x) y) y)
Samples
12.0ms256×0valid
Compiler

Compiled 36 to 12 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 2.0ms (45.2% of total)
ival-mult: 2.0ms (45.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
5.2MiB live, 5.2MiB allocated
Counts
3 → 11
Calls
Call 1
Inputs
(+.f64 (*.f64 x x) y)
(*.f64 x x)
(+.f64 (+.f64 (*.f64 x x) y) y)
Outputs
y
(+ y (pow x 2))
(pow x 2)
(* 2 y)
(+ (* 2 y) (pow x 2))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* y (+ 1 (/ (pow x 2) y)))
(* y (+ 2 (/ (pow x 2) y)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
Calls

6 calls:

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

simplify133.0ms (2.6%)

Memory
0.6MiB live, 83.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02755
18555
223955
3112855
4388355
5790755
0800447
Stop Event
1×iter limit
1×node limit
Counts
11 → 10
Calls
Call 1
Inputs
y
(+ y (pow x 2))
(pow x 2)
(* 2 y)
(+ (* 2 y) (pow x 2))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* y (+ 1 (/ (pow x 2) y)))
(* y (+ 2 (/ (pow x 2) y)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
Outputs
y
(+ y (pow x 2))
(fma.f64 x x y)
(pow x 2)
(*.f64 x x)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(+ (* 2 y) (pow x 2))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(fma.f64 x x y)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(* y (+ 1 (/ (pow x 2) y)))
(fma.f64 x x y)
(* y (+ 2 (/ (pow x 2) y)))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(fma.f64 x x y)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))

rewrite391.0ms (7.7%)

Memory
-171.0MiB live, 218.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0815
14215
238915
3672115
0805613
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 277
Calls
Call 1
Inputs
(+.f64 (*.f64 x x) y)
(*.f64 x x)
(+.f64 (+.f64 (*.f64 x x) y) y)
Outputs
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x y) y (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (-.f64 y (*.f64 x x)) y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 x x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 (-.f64 y (*.f64 x x)) y) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x y))
(*.f64 (fma.f64 y y (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x x y))
(*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -1 binary64)))
(*.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 x x y) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x y) (pow.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x y) (/.f64 (-.f64 (*.f64 x x) y) (-.f64 (*.f64 x x) y)))
(*.f64 (fma.f64 x x y) (*.f64 (-.f64 (*.f64 x x) y) (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -1 binary64))))
(pow.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x x y) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -1 binary64))) (fma.f64 y y (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 y y (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64))) (pow.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 y (*.f64 x x)))) (*.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y))) (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y))))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 y (*.f64 x x))) (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 y (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 y (*.f64 x x))) (fma.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y))) (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 y (*.f64 x x))) (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y)))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (fma.f64 y y (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 y (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) (-.f64 (*.f64 x x) y)))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 x x) y)))
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 x x) y))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) (*.f64 (-.f64 (*.f64 x x) y) (*.f64 y y))) (pow.f64 (-.f64 (*.f64 x x) y) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 y y (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 x x) y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) (-.f64 (*.f64 x x) y)))
(/.f64 (fma.f64 y y (pow.f64 x #s(literal 4 binary64))) (-.f64 y (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 x x y) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x y) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64))) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 x x) y))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))))
(neg.f64 (neg.f64 (fma.f64 x x y)))
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(fma.f64 (pow.f64 (fma.f64 x x y) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 3/2 binary64)) (fma.f64 (neg.f64 y) (*.f64 x x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (neg.f64 y) (*.f64 x x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))))
(fma.f64 (fma.f64 y y (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y (*.f64 x x)) #s(literal -1 binary64)) y)
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 0 binary64) (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) y)
(fma.f64 (pow.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) y)
(fma.f64 #s(literal 1 binary64) (fma.f64 x x y) y)
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) (*.f64 x x))
(fma.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) y)
(fma.f64 (neg.f64 (fma.f64 x x y)) (/.f64 (neg.f64 (fma.f64 x x y)) (fma.f64 x x #s(literal 0 binary64))) (neg.f64 (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64))))))
(fma.f64 (neg.f64 (fma.f64 x x y)) (/.f64 (neg.f64 (fma.f64 x x y)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 x x #s(literal 0 binary64))))
(fma.f64 (fabs.f64 (fma.f64 x x y)) (/.f64 (fabs.f64 (fma.f64 x x y)) (fma.f64 x x #s(literal 0 binary64))) (neg.f64 (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64))))))
(fma.f64 (fabs.f64 (fma.f64 x x y)) (/.f64 (fabs.f64 (fma.f64 x x y)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 x x #s(literal 0 binary64))))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) y) (*.f64 x x))
(fma.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -1 binary64)) y)
(fma.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 x x y) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) y)
(fma.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x y) (pow.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) y)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (*.f64 x x) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) y))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) y)
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) y))
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (neg.f64 y) (*.f64 x x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (fma.f64 (neg.f64 y) (*.f64 x x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (/.f64 (fma.f64 x x y) (fma.f64 (neg.f64 y) (*.f64 x x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (neg.f64 y) (*.f64 x x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64))))))
(fma.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 x x #s(literal 0 binary64))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (*.f64 x x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (fma.f64 (neg.f64 y) (*.f64 x x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (*.f64 x x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (neg.f64 y) (*.f64 x x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 2 binary64) (*.f64 y (*.f64 #s(literal 2 binary64) y)) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(fma.f64 (fma.f64 x x y) (/.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64))) (neg.f64 (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64))))))
(fma.f64 (fma.f64 x x y) (/.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 x x #s(literal 0 binary64))))
(fma.f64 (fma.f64 x x y) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) (*.f64 x x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (neg.f64 y) (*.f64 x x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))))
(fma.f64 (fma.f64 x x y) (/.f64 (-.f64 (*.f64 x x) y) (-.f64 (*.f64 x x) y)) y)
(fma.f64 (fma.f64 x x y) (*.f64 (-.f64 (*.f64 x x) y) (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -1 binary64))) y)
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (neg.f64 y) (*.f64 x x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (fma.f64 (neg.f64 y) (*.f64 x x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) y))
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 y (*.f64 x x)))) (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y))))
(-.f64 (/.f64 (*.f64 y y) (*.f64 (neg.f64 x) x)) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 #s(literal -2 binary64) y))) (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 x x (*.f64 #s(literal -2 binary64) y))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 y (*.f64 x x))) (-.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y))) y))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))))
(-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (neg.f64 x) x))
(-.f64 y (-.f64 (*.f64 (neg.f64 x) x) y))
(-.f64 y (neg.f64 (fma.f64 x x y)))
(-.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) y))
(+.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) y))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (neg.f64 y) (*.f64 x x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (fma.f64 (neg.f64 y) (*.f64 x x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (fma.f64 (neg.f64 y) (*.f64 x x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (neg.f64 y) (*.f64 x x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64))) (neg.f64 (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64))))))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 x x))
(+.f64 (fma.f64 x x y) y)
(+.f64 y (fma.f64 x x y))
(+.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) y))

eval45.0ms (0.9%)

Memory
13.8MiB live, 49.4MiB allocated
Compiler

Compiled 6 839 to 751 computations (89% saved)

prune4.0ms (0.1%)

Memory
17.9MiB live, 17.9MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New2783281
Fresh000
Picked101
Done000
Total2793282
Accuracy
100.0%
Counts
282 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
▶100.0%
(+.f64 (fma.f64 x x y) y)
▶51.1%
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify309.0ms (6.1%)

Memory
-3.8MiB live, 210.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
cost-diff-128
(+.f64 (fma.f64 x x y) y)
cost-diff0
(fma.f64 x x y)
cost-diff0
(*.f64 #s(literal 2 binary64) y)
cost-diff0
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01239
01739
13239
27039
317339
451339
588639
6150639
7347039
8422339
9500939
10536139
11571539
12625639
13651339
0805439
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(+.f64 (fma.f64 x x y) y)
(fma.f64 x x y)
x
y
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
y
#s(literal 2 binary64)
(*.f64 x x)
x
Outputs
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(+.f64 (fma.f64 x x y) y)
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(fma.f64 x x y)
x
y
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
y
#s(literal 2 binary64)
(*.f64 x x)
x

localize41.0ms (0.8%)

Memory
-23.3MiB live, 15.8MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0.00390625
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
accuracy0
(fma.f64 x x y)
accuracy0.00390625
(+.f64 (fma.f64 x x y) y)
accuracy0
(*.f64 #s(literal 2 binary64) y)
accuracy31.299333843727112
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
Samples
34.0ms256×0valid
Compiler

Compiled 81 to 23 computations (71.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 22.0ms (85.4% of total)
ival-add: 3.0ms (11.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
3.1MiB live, 3.1MiB allocated
Counts
6 → 11
Calls
Call 1
Inputs
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
(fma.f64 x x y)
(+.f64 (fma.f64 x x y) y)
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(*.f64 x x)
Outputs
(* 2 y)
(+ (* 2 y) (pow x 2))
y
(+ y (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(* y (+ 2 (/ (pow x 2) y)))
(* y (+ 1 (/ (pow x 2) y)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
Calls

6 calls:

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

simplify111.0ms (2.2%)

Memory
13.0MiB live, 86.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02755
18555
223955
3112955
4386755
5787155
0806647
Stop Event
1×iter limit
1×node limit
Counts
11 → 10
Calls
Call 1
Inputs
(* 2 y)
(+ (* 2 y) (pow x 2))
y
(+ y (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(* y (+ 2 (/ (pow x 2) y)))
(* y (+ 1 (/ (pow x 2) y)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
Outputs
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(+ (* 2 y) (pow x 2))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
y
(+ y (pow x 2))
(fma.f64 x x y)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(fma.f64 x x y)
(* y (+ 2 (/ (pow x 2) y)))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(* y (+ 1 (/ (pow x 2) y)))
(fma.f64 x x y)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(fma.f64 x x y)

rewrite223.0ms (4.4%)

Memory
16.4MiB live, 174.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01232
01732
16632
255632
0922232
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 940
Calls
Call 1
Inputs
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
(fma.f64 x x y)
(+.f64 (fma.f64 x x y) y)
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(*.f64 x x)
Outputs
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal -2 binary64) y))
(*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (*.f64 #s(literal 8 binary64) (*.f64 y y)) y)
(*.f64 (*.f64 #s(literal 8 binary64) y) (*.f64 y y))
(*.f64 (*.f64 #s(literal 4 binary64) (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 #s(literal 4 binary64) (fabs.f64 y)) (fabs.f64 y))
(*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
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(fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) y (*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) y (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) y (*.f64 x x))))))
(fma.f64 (*.f64 y y) (*.f64 y #s(literal 8 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 y y) (*.f64 y #s(literal 8 binary64)) (*.f64 x x))
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))
(fma.f64 (*.f64 y y) (*.f64 #s(literal -2 binary64) y) (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 y y) (*.f64 #s(literal -2 binary64) y) (*.f64 x x))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x))
(fma.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))))
(fma.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (*.f64 x x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (fma.f64 (neg.f64 y) (*.f64 x x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 x x))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) y) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) y) (*.f64 x x))
(fma.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (*.f64 x x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (neg.f64 y) (*.f64 x x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (*.f64 x x))
(fma.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 (fma.f64 #s(literal -2 binary64) y (*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) y (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -2 binary64) y (*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) y (*.f64 x x))))))
(fma.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 (fma.f64 #s(literal -2 binary64) y (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) y (*.f64 x x)))))
(fma.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 (fma.f64 #s(literal -2 binary64) y (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) y (*.f64 x x))))
(fma.f64 (*.f64 #s(literal -2 binary64) y) (fabs.f64 y) (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 #s(literal -2 binary64) y) (fabs.f64 y) (*.f64 x x))
(fma.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 4 binary64) (*.f64 x x))
(fma.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 8 binary64) (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 8 binary64) (*.f64 x x))
(fma.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 y y) (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 y y) (*.f64 x x))
(fma.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 y #s(literal 3 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 y #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -2 binary64) y) (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -2 binary64) y) (*.f64 x x))
(fma.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 2 binary64) (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 2 binary64) (*.f64 x x))
(fma.f64 (*.f64 #s(literal -2 binary64) y) y (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 #s(literal -2 binary64) y) y (*.f64 x x))
(fma.f64 (fma.f64 x x y) (*.f64 (-.f64 (*.f64 x x) y) (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -1 binary64))) y)
(fma.f64 #s(literal 2 binary64) (neg.f64 y) (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal 2 binary64) (neg.f64 y) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) (fabs.f64 y) (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal 2 binary64) (fabs.f64 y) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) y) (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) y) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) y (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(fma.f64 y (*.f64 (*.f64 y y) #s(literal 8 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 y (*.f64 (*.f64 y y) #s(literal 8 binary64)) (*.f64 x x))
(fma.f64 y #s(literal -2 binary64) (*.f64 (neg.f64 x) x))
(fma.f64 y #s(literal -2 binary64) (*.f64 x x))
(fma.f64 y #s(literal 4 binary64) (*.f64 (neg.f64 x) x))
(fma.f64 y #s(literal 4 binary64) (*.f64 x x))
(fma.f64 y (*.f64 #s(literal -2 binary64) y) (*.f64 (neg.f64 x) x))
(fma.f64 y (*.f64 #s(literal -2 binary64) y) (*.f64 x x))
(fma.f64 y #s(literal 2 binary64) (*.f64 (neg.f64 x) x))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64)))
(fma.f64 x x (*.f64 #s(literal -2 binary64) y))
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y))) (/.f64 (*.f64 y y) (-.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (*.f64 y y) (*.f64 (neg.f64 x) x)) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)))
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) y (*.f64 x x))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -2 binary64) y (*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) y (*.f64 x x))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) (-.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 x x) y)) y))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) y (*.f64 x x))) (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (*.f64 x x))))
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) y (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) y (*.f64 x x)))
(-.f64 (-.f64 (*.f64 x x) y) y)
(-.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) y))
(-.f64 y (-.f64 (*.f64 (neg.f64 x) x) y))
(-.f64 y (neg.f64 (fma.f64 x x y)))
(+.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 y (-.f64 y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64))))) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (fma.f64 y y (*.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64))))))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (fma.f64 y y (*.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 y (-.f64 y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) y))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -2 binary64) y (*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) y (*.f64 x x))))) (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) y (*.f64 x x))))))
(+.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) y (*.f64 x x))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -2 binary64) y (*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) y (*.f64 x x))))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (neg.f64 y) (*.f64 x x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (fma.f64 (neg.f64 y) (*.f64 x x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (fma.f64 (neg.f64 y) (*.f64 x x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (neg.f64 y) (*.f64 x x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) y (*.f64 x x)))))
(+.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) y (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64))) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 (neg.f64 y) (neg.f64 (-.f64 y (*.f64 x x))))
(+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 (neg.f64 x) x))
(+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64)))
(+.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) y))
(+.f64 (fma.f64 x x y) y)
(+.f64 y (-.f64 y (*.f64 x x)))
(+.f64 y (fma.f64 x x y))
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(*.f64 (sqrt.f64 (*.f64 (neg.f64 x) x)) (sqrt.f64 (*.f64 (neg.f64 x) x)))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 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)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))
(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))))

eval122.0ms (2.4%)

Memory
-14.7MiB live, 103.7MiB allocated
Compiler

Compiled 12 185 to 1 393 computations (88.6% saved)

prune32.0ms (0.6%)

Memory
5.3MiB live, 43.6MiB allocated
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New6393642
Fresh000
Picked123
Done000
Total6405645
Accuracy
100.0%
Counts
645 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
✓100.0%
(+.f64 (fma.f64 x x y) y)
▶51.1%
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
▶10.8%
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 4 binary64)))
▶2.4%
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal -2 binary64)))
Compiler

Compiled 45 to 32 computations (28.9% saved)

simplify301.0ms (5.9%)

Memory
-21.3MiB live, 267.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff-128
(+.f64 y y)
cost-diff0
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
cost-diff0
(*.f64 y #s(literal 4 binary64))
cost-diff0
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 4 binary64)))
cost-diff0
(*.f64 y #s(literal -2 binary64))
cost-diff0
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal -2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01347
01647
12847
25847
316447
450547
584947
6151447
7349647
8426347
9505447
10540847
11576247
12630347
13656047
0810144
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 4 binary64)))
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
(+.f64 y y)
y
Outputs
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal -2 binary64)))
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal -2 binary64) y))
(*.f64 y #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) y)
y
#s(literal -2 binary64)
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 4 binary64)))
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 4 binary64) y))
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
y
#s(literal 4 binary64)
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)
y

localize25.0ms (0.5%)

Memory
12.8MiB live, 48.8MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y y)
accuracy31.299333843727112
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
accuracy0
(*.f64 y #s(literal 4 binary64))
accuracy57.11893066309586
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 4 binary64)))
accuracy0
(*.f64 y #s(literal -2 binary64))
accuracy62.48643584856168
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal -2 binary64)))
Samples
18.0ms256×0valid
Compiler

Compiled 84 to 25 computations (70.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (64.8% of total)
ival-add: 3.0ms (27.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated
Counts
6 → 8
Calls
Call 1
Inputs
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 4 binary64)))
(*.f64 y #s(literal 4 binary64))
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
(+.f64 y y)
Outputs
(* 2 y)
(+ (* 2 y) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* -2 y)
(* 4 y)
(* y (+ 2 (/ (pow x 2) y)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
((+ (+ (* x x) y) y) (* y -2) (+ (+ (* x x) y) y) (* y 4) (+ (+ (* x x) y) y) (+ y y))
1.0ms
y
@inf
((+ (+ (* x x) y) y) (* y -2) (+ (+ (* x x) y) y) (* y 4) (+ (+ (* x x) y) y) (+ y y))
1.0ms
y
@0
((+ (+ (* x x) y) y) (* y -2) (+ (+ (* x x) y) y) (* y 4) (+ (+ (* x x) y) y) (+ y y))
0.0ms
x
@inf
((+ (+ (* x x) y) y) (* y -2) (+ (+ (* x x) y) y) (* y 4) (+ (+ (* x x) y) y) (+ y y))
0.0ms
x
@-inf
((+ (+ (* x x) y) y) (* y -2) (+ (+ (* x x) y) y) (* y 4) (+ (+ (* x x) y) y) (+ y y))

simplify169.0ms (3.3%)

Memory
-0.2MiB live, 116.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02340
16340
217840
382640
4305840
5691340
0814236
Stop Event
1×iter limit
1×node limit
Counts
8 → 8
Calls
Call 1
Inputs
(* 2 y)
(+ (* 2 y) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* -2 y)
(* 4 y)
(* y (+ 2 (/ (pow x 2) y)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
Outputs
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(+ (* 2 y) (pow x 2))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(* -2 y)
(*.f64 #s(literal -2 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* y (+ 2 (/ (pow x 2) y)))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))

rewrite42.0ms (0.8%)

Memory
7.9MiB live, 45.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01342
01642
15842
046239
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
6 → 19
Calls
Call 1
Inputs
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 4 binary64)))
(*.f64 y #s(literal 4 binary64))
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
(+.f64 y y)
Outputs
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) y)
(*.f64 y #s(literal -2 binary64))
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(+.f64 y y)

eval2.0ms (0%)

Memory
6.7MiB live, 6.7MiB allocated
Compiler

Compiled 324 to 66 computations (79.6% saved)

prune51.0ms (1%)

Memory
-25.2MiB live, 26.3MiB allocated
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New22123
Fresh000
Picked213
Done022
Total24428
Accuracy
100.0%
Counts
28 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
✓100.0%
(+.f64 (fma.f64 x x y) y)
✓51.1%
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
▶51.4%
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
Compiler

Compiled 34 to 23 computations (32.4% saved)

simplify253.0ms (5%)

Memory
-10.7MiB live, 183.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
0815
11715
24415
315215
448315
581415
6145215
7345915
8422115
9500715
10535915
11571315
12625415
13651115
0805214
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
(*.f64 x x)
x
Outputs
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
(*.f64 x x)
x

localize14.0ms (0.3%)

Memory
21.6MiB live, 21.6MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy31.129873453450852
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
Samples
9.0ms256×0valid
Compiler

Compiled 28 to 14 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 2.0ms (46.4% of total)
ival-mult: 2.0ms (46.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated
Counts
2 → 6
Calls
Call 1
Inputs
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
(*.f64 x x)
Outputs
(* 2 y)
(+ (* 2 y) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* y (+ 2 (/ (pow x 2) y)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
Calls

6 calls:

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

simplify207.0ms (4.1%)

Memory
-17.1MiB live, 109.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01934
15834
217534
382834
4303534
5689334
0813130
Stop Event
1×iter limit
1×node limit
Counts
6 → 6
Calls
Call 1
Inputs
(* 2 y)
(+ (* 2 y) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* y (+ 2 (/ (pow x 2) y)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
Outputs
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(+ (* 2 y) (pow x 2))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(* y (+ 2 (/ (pow x 2) y)))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))

rewrite177.0ms (3.5%)

Memory
-9.4MiB live, 147.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
0814
14214
238914
3672614
0806113
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
2 → 26
Calls
Call 1
Inputs
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
(*.f64 x x)
Outputs
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(*.f64 (sqrt.f64 (*.f64 (neg.f64 x) x)) (sqrt.f64 (*.f64 (neg.f64 x) x)))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 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)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))
(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 (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (neg.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))))

eval3.0ms (0.1%)

Memory
5.5MiB live, 5.5MiB allocated
Compiler

Compiled 405 to 86 computations (78.8% saved)

prune3.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New29029
Fresh000
Picked011
Done033
Total29433
Accuracy
100.0%
Counts
33 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
✓100.0%
(+.f64 (fma.f64 x x y) y)
✓51.1%
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
✓51.4%
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
Compiler

Compiled 108 to 46 computations (57.4% saved)

regimes47.0ms (0.9%)

Memory
-17.7MiB live, 19.9MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal -2 binary64)))
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 4 binary64)))
(+.f64 (fma.f64 x x y) y)
(+.f64 (+.f64 (*.f64 x x) y) y)
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
Outputs
(+.f64 (fma.f64 x x y) y)
Calls

4 calls:

3.0ms
y
3.0ms
(+.f64 (+.f64 (*.f64 x x) y) y)
3.0ms
x
3.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 (+.f64 (*.f64 x x) y) y)
100.0%1(*.f64 x x)
Compiler

Compiled 12 to 12 computations (0% saved)

regimes10.0ms (0.2%)

Memory
17.0MiB live, 17.0MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal -2 binary64)))
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 4 binary64)))
Outputs
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
Calls

4 calls:

2.0ms
(+.f64 (+.f64 (*.f64 x x) y) y)
2.0ms
y
2.0ms
x
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
89.0%2x
68.6%3y
78.5%2(+.f64 (+.f64 (*.f64 x x) y) y)
89.0%2(*.f64 x x)
Compiler

Compiled 12 to 12 computations (0% saved)

regimes6.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
Outputs
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
Calls

4 calls:

1.0ms
(+.f64 (+.f64 (*.f64 x x) y) y)
1.0ms
x
1.0ms
y
1.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
51.1%1y
51.1%1(+.f64 (+.f64 (*.f64 x x) y) y)
51.1%1x
51.1%1(*.f64 x x)
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch7.0ms (0.1%)

Memory
4.8MiB live, 4.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
6.0ms
1.1811186100581732e+39
6.827397036413624e+39
Samples
3.0ms96×0valid
Compiler

Compiled 130 to 100 computations (23.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-add: 1.0ms (100.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify52.0ms (1%)

Memory
-25.1MiB live, 50.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01445
11545
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (fma.f64 x x y) y)
(if (<=.f64 (*.f64 x x) #s(literal 1350000000000000016832597445352911536128 binary64)) #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #s(approx (+ (+ (* x x) y) y) (*.f64 x x)))
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
Outputs
(+.f64 (fma.f64 x x y) y)
(if (<=.f64 (*.f64 x x) #s(literal 1350000000000000016832597445352911536128 binary64)) #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #s(approx (+ (+ (* x x) y) y) (*.f64 x x)))
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))

soundness991.0ms (19.6%)

Memory
1.3MiB live, 406.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02340
16340
217840
382640
4305840
5691340
0814236
01232
01732
16632
255632
0922232
02755
18555
223955
3112855
4388355
5790755
0800447
0515
0815
14215
238915
3672115
0805613
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 103 to 60 computations (41.7% saved)

preprocess37.0ms (0.7%)

Memory
24.1MiB live, 99.5MiB allocated
Remove

(abs x)

Compiler

Compiled 130 to 56 computations (56.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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