Numeric.SpecFunctions:log1p from math-functions-0.1.5.2, A

Time bar (total: 5.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample646.0ms (12.9%)

Memory
6.7MiB live, 903.4MiB allocated
Samples
429.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 248.0ms
ival-mult: 190.0ms (76.7% of total)
ival-sub: 43.0ms (17.4% of total)
ival-true: 6.0ms (2.4% of total)
exact: 5.0ms (2% of total)
ival-assert: 3.0ms (1.2% of total)
Bogosity

explain97.0ms (1.9%)

Memory
-10.8MiB live, 153.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(-.f64 #s(literal 1 binary64) (*.f64 x y))
00-0-#s(literal 1 binary64)
00-0-(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
00-0-(*.f64 x y)
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
24.0ms512×0valid
Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 8.0ms (67.7% of total)
ival-sub: 2.0ms (16.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess260.0ms (5.2%)

Memory
28.7MiB live, 177.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01637
15937
212535
333935
463435
584335
6115235
7164935
8222735
9259435
10470535
11550935
12590335
13642935
14679935
15728735
16766335
067
097
1187
2387
3897
42637
54607
66567
79837
811327
913517
1024037
1130757
1241877
1357987
1465777
1576587
080337
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify142.0ms (2.8%)

Memory
-17.8MiB live, 103.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
0918
11818
23818
38918
426318
546018
665618
798318
8113218
9135118
10240318
11307518
12418718
13579818
14657718
15765818
0803318
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
x
(-.f64 #s(literal 1 binary64) (*.f64 x y))
#s(literal 1 binary64)
(*.f64 x y)
y
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
x
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
#s(literal 1 binary64)
(*.f64 x y)
(*.f64 y x)
y

localize60.0ms (1.2%)

Memory
-1.3MiB live, 35.8MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) (*.f64 x y))
accuracy0
(*.f64 x y)
accuracy0.07421875
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Samples
11.0ms256×0valid
Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (60.4% of total)
ival-sub: 1.0ms (20.1% 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
8.7MiB live, 8.7MiB allocated
Counts
3 → 15
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 x y)
Outputs
x
(* x (+ 1 (* -1 (* x y))))
1
(+ 1 (* -1 (* x y)))
(* x y)
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* x y))
(* x (- (/ 1 x) y))
(* x (+ (* -1 y) (/ 1 x)))
(+ x (* -1 (* (pow x 2) y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (- (/ 1 y) x))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* y (+ (* -1 x) (/ 1 y)))
Calls

6 calls:

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

simplify143.0ms (2.8%)

Memory
-12.8MiB live, 117.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03485
111475
226775
380075
4358775
0822475
Stop Event
iter limit
node limit
Counts
15 → 14
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1 (* x y))))
1
(+ 1 (* -1 (* x y)))
(* x y)
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* x y))
(* x (- (/ 1 x) y))
(* x (+ (* -1 y) (/ 1 x)))
(+ x (* -1 (* (pow x 2) y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (- (/ 1 y) x))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* y (+ (* -1 x) (/ 1 y)))
Outputs
x
(* x (+ 1 (* -1 (* x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 x) (*.f64 y x))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (- (/ 1 x) y))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* x (+ (* -1 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* y (- (/ 1 y) x))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* y (+ (* -1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))

rewrite264.0ms (5.3%)

Memory
17.7MiB live, 293.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
13215
219915
3166215
0938113
Stop Event
iter limit
node limit
iter limit
Counts
3 → 527
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 x y)
Outputs
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (+.f64 (pow.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 1 binary64))))
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (pow.f64 (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 1 binary64))))
(*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 x (neg.f64 x)) y))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 x)) y))))))
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 1 binary64))))
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (pow.f64 (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 y x #s(literal 1 binary64)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))
(*.f64 x (fma.f64 y x #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x)) (*.f64 x (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x x) y)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) x))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (neg.f64 (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (*.f64 x (neg.f64 x)) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 x)) y))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x))) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 x (neg.f64 x)) y)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 x)) y)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (*.f64 x (neg.f64 x)) y)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 x)) y)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)))
(/.f64 x (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 x (neg.f64 x)) y x)
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(fma.f64 (*.f64 x x) (neg.f64 y) x)
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) y) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (*.f64 x (neg.f64 x)) y))
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(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
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(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x #s(literal 1 binary64)))) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x #s(literal 1 binary64)))) (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 9 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (*.f64 (+.f64 (pow.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))
(+.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x #s(literal 1 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x #s(literal 1 binary64))))
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(+.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64))
(+.f64 (*.f64 y x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) x) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) (neg.f64 x)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) (neg.f64 y)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 y)) x))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 y)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x))
(+.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y))) (fabs.f64 x))
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) (fabs.f64 y))
(*.f64 (fabs.f64 (*.f64 y #s(literal -1 binary64))) (fabs.f64 x))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) x) (neg.f64 y))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal -1 binary64))) (sqrt.f64 (*.f64 y x)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) x) (neg.f64 x))) (sqrt.f64 y))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) x) y)) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 y) (*.f64 x x))) (sqrt.f64 (fabs.f64 y)))
(*.f64 (sqrt.f64 (fabs.f64 y)) (sqrt.f64 (*.f64 (fabs.f64 y) (*.f64 x x))))
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 y) (*.f64 y x))) (sqrt.f64 (fabs.f64 x)))
(*.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (*.f64 (fabs.f64 y) (*.f64 y x))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x (neg.f64 x)) y)) (sqrt.f64 (neg.f64 y)))
(*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (*.f64 (*.f64 x (neg.f64 x)) y)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (*.f64 y (*.f64 (neg.f64 y) x))))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)))
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x))))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (*.f64 x x) y)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) x))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (*.f64 y y) x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (fabs.f64 y) (fabs.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 y))
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 x y)
(pow.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fabs.f64 (+.f64 #s(literal 0 binary64) (*.f64 y x))))
(/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fabs.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 y x))))))
(neg.f64 (*.f64 (neg.f64 y) x))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(fabs.f64 (-.f64 (*.f64 y x) #s(literal 0 binary64)))
(fabs.f64 (*.f64 (neg.f64 y) x))
(fabs.f64 (*.f64 y x))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y x)))
(+.f64 (cosh.f64 (log.f64 (*.f64 y x))) (sinh.f64 (log.f64 (*.f64 y x))))

eval99.0ms (2%)

Memory
-9.0MiB live, 179.6MiB allocated
Compiler

Compiled 15 139 to 1 598 computations (89.4% saved)

prune52.0ms (1%)

Memory
8.7MiB live, 47.8MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New5249533
Fresh000
Picked101
Done000
Total5259534
Accuracy
100.0%
Counts
534 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 (neg.f64 y) x) x x)
91.5%
(fma.f64 (*.f64 x (neg.f64 x)) y x)
64.5%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
75.9%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
99.9%
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x)))
53.4%
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)) #s(literal 1 binary64)))
57.2%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)))))
51.4%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
50.7%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
Compiler

Compiled 208 to 142 computations (31.7% saved)

simplify296.0ms (5.9%)

Memory
-176.6MiB live, 128.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)
cost-diff7552
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 (*.f64 y x))
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x))))
cost-diff0
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)))))
cost-diff1920
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 x (neg.f64 x))
cost-diff0
(fma.f64 (*.f64 x (neg.f64 x)) y x)
cost-diff0
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
cost-diff0
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
cost-diff0
(*.f64 (neg.f64 y) x)
cost-diff0
(neg.f64 x)
cost-diff0
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x)))
cost-diff256
(*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025148
044125
197119
2228119
3808119
42350119
54438119
66212119
08292119
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x)))
x
(*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x))
(neg.f64 x)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
x
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (*.f64 x (neg.f64 x)) y x)
(*.f64 x (neg.f64 x))
x
(neg.f64 x)
y
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)))))
x
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x))))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)))
(sqrt.f64 (*.f64 y x))
(*.f64 y x)
y
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 y x)
y
x
#s(literal 2 binary64)
(fma.f64 y x #s(literal 1 binary64))
Outputs
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
x
(*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x))
(*.f64 (*.f64 x x) y)
(neg.f64 x)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x)
x
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (*.f64 x (neg.f64 x)) y x)
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(*.f64 x (neg.f64 x))
(*.f64 (neg.f64 x) x)
x
(neg.f64 x)
y
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)))))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
x
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x))))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)))
(*.f64 y x)
(sqrt.f64 (*.f64 y x))
(*.f64 y x)
y
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 y x)
y
x
#s(literal 2 binary64)
(fma.f64 y x #s(literal 1 binary64))

localize103.0ms (2.1%)

Memory
-6.2MiB live, 150.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y x)
accuracy0.12728500976844204
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
accuracy0.2360429118479451
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)
accuracy6.148757117728075
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
accuracy0
(*.f64 y x)
accuracy0.046875
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)))))
accuracy0.234375
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)))
accuracy6.021797973730381
(sqrt.f64 (*.f64 y x))
accuracy0
(*.f64 x (neg.f64 x))
accuracy0
(neg.f64 x)
accuracy2.7970609199949634
(fma.f64 (*.f64 x (neg.f64 x)) y x)
accuracy0.046875
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
accuracy17.154493354727652
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
accuracy0
(*.f64 (neg.f64 y) x)
accuracy0
(neg.f64 y)
accuracy0
(neg.f64 x)
accuracy0.078125
(*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x))
Samples
38.0ms122×0invalid
23.0ms134×0valid
Compiler

Compiled 297 to 53 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 17.0ms (52.2% of total)
ival-sub: 5.0ms (15.3% of total)
ival-div: 2.0ms (6.1% of total)
ival-add: 2.0ms (6.1% of total)
ival-sqrt: 2.0ms (6.1% of total)
ival-pow2: 2.0ms (6.1% of total)
ival-neg: 2.0ms (6.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series24.0ms (0.5%)

Memory
18.7MiB live, 55.1MiB allocated
Counts
18 → 42
Calls
Call 1
Inputs
(*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x))
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x)))
(neg.f64 x)
(*.f64 (neg.f64 y) x)
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) y x)
(*.f64 x (neg.f64 x))
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)))))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x))))
(sqrt.f64 (*.f64 y x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(neg.f64 y)
(*.f64 y x)
Outputs
(* (pow x 2) y)
x
(* x (+ 1 (* -1 (* x y))))
(* -1 x)
(* -1 (* x y))
1
(+ 1 (* -1 (* x y)))
(* -1 (pow x 2))
(* x y)
(sqrt (* x y))
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* (pow x 2) (pow y 2))
(* -1 (* (pow x 2) y))
(* (pow x 2) (- (/ 1 x) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* x (- (/ 1 x) y))
(* -1 (* (pow x 3) (pow y 2)))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* x (+ (* -1 y) (/ 1 x)))
(* -1 (* x (* y (pow (sqrt -1) 2))))
(* (pow x 2) (* y (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* y (pow (sqrt -1) 2)) (/ 1 x)))
(* x (* y (pow (sqrt -1) 2)))
(* x (+ (* y (pow (sqrt -1) 2)) (/ 1 x)))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 3) (pow y 2))))
(* -1 y)
(* y (- (/ x y) (pow x 2)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (- (/ 1 y) x))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* y (+ (* -1 x) (/ 1 y)))
(* -1 (* y (+ (* -1 (* (pow x 2) (pow (sqrt -1) 2))) (* -1 (/ x y)))))
(* y (+ (* x (pow (sqrt -1) 2)) (/ 1 y)))
Calls

6 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
((* (neg x) (* (neg y) x)) (- x (* (neg x) (* (neg y) x))) (neg x) (* (neg y) x) (* x (- 1 (* x y))) (- 1 (* x y)) (+ (* (* x (neg x)) y) x) (* x (neg x)) (* (sqrt (* y x)) (sqrt (* y x))) (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (- 1 (* (sqrt (* y x)) (sqrt (* y x)))) (sqrt (* y x)) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (neg y) (* y x))
4.0ms
x
@inf
((* (neg x) (* (neg y) x)) (- x (* (neg x) (* (neg y) x))) (neg x) (* (neg y) x) (* x (- 1 (* x y))) (- 1 (* x y)) (+ (* (* x (neg x)) y) x) (* x (neg x)) (* (sqrt (* y x)) (sqrt (* y x))) (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (- 1 (* (sqrt (* y x)) (sqrt (* y x)))) (sqrt (* y x)) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (neg y) (* y x))
3.0ms
y
@-inf
((* (neg x) (* (neg y) x)) (- x (* (neg x) (* (neg y) x))) (neg x) (* (neg y) x) (* x (- 1 (* x y))) (- 1 (* x y)) (+ (* (* x (neg x)) y) x) (* x (neg x)) (* (sqrt (* y x)) (sqrt (* y x))) (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (- 1 (* (sqrt (* y x)) (sqrt (* y x)))) (sqrt (* y x)) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (neg y) (* y x))
3.0ms
x
@0
((* (neg x) (* (neg y) x)) (- x (* (neg x) (* (neg y) x))) (neg x) (* (neg y) x) (* x (- 1 (* x y))) (- 1 (* x y)) (+ (* (* x (neg x)) y) x) (* x (neg x)) (* (sqrt (* y x)) (sqrt (* y x))) (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (- 1 (* (sqrt (* y x)) (sqrt (* y x)))) (sqrt (* y x)) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (neg y) (* y x))
2.0ms
y
@inf
((* (neg x) (* (neg y) x)) (- x (* (neg x) (* (neg y) x))) (neg x) (* (neg y) x) (* x (- 1 (* x y))) (- 1 (* x y)) (+ (* (* x (neg x)) y) x) (* x (neg x)) (* (sqrt (* y x)) (sqrt (* y x))) (* x (- 1 (* (sqrt (* y x)) (sqrt (* y x))))) (- 1 (* (sqrt (* y x)) (sqrt (* y x)))) (sqrt (* y x)) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (neg y) (* y x))

simplify23.0ms (0.5%)

Memory
-9.7MiB live, 38.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086355
0280344
Stop Event
iter limit
iter limit
iter limit
unsound
Counts
42 → 41
Calls
Call 1
Inputs
(* (pow x 2) y)
x
(* x (+ 1 (* -1 (* x y))))
(* -1 x)
(* -1 (* x y))
1
(+ 1 (* -1 (* x y)))
(* -1 (pow x 2))
(* x y)
(sqrt (* x y))
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* (pow x 2) (pow y 2))
(* -1 (* (pow x 2) y))
(* (pow x 2) (- (/ 1 x) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* x (- (/ 1 x) y))
(* -1 (* (pow x 3) (pow y 2)))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* x (+ (* -1 y) (/ 1 x)))
(* -1 (* x (* y (pow (sqrt -1) 2))))
(* (pow x 2) (* y (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* y (pow (sqrt -1) 2)) (/ 1 x)))
(* x (* y (pow (sqrt -1) 2)))
(* x (+ (* y (pow (sqrt -1) 2)) (/ 1 x)))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 3) (pow y 2))))
(* -1 y)
(* y (- (/ x y) (pow x 2)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (- (/ 1 y) x))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* y (+ (* -1 x) (/ 1 y)))
(* -1 (* y (+ (* -1 (* (pow x 2) (pow (sqrt -1) 2))) (* -1 (/ x y)))))
(* y (+ (* x (pow (sqrt -1) 2)) (/ 1 y)))
Outputs
(* (pow x 2) y)
(*.f64 (*.f64 x x) y)
x
(* x (+ 1 (* -1 (* x y))))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(* x y)
(*.f64 y x)
(sqrt (* x y))
(sqrt.f64 (*.f64 y x))
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(*.f64 (fma.f64 (neg.f64 (*.f64 x x)) (*.f64 y y) #s(literal 1 binary64)) x)
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (neg.f64 (*.f64 x x)) (*.f64 y y) #s(literal 1 binary64))
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 y y) (*.f64 x x))
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 (*.f64 x x)) y)
(* (pow x 2) (- (/ 1 x) y))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 x x))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 x x))
(* x (- (/ 1 x) y))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) y) x)
(* -1 (* (pow x 3) (pow y 2)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 y y)) (*.f64 x x))
(* x (+ (* -1 y) (/ 1 x)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) y) x)
(* -1 (* x (* y (pow (sqrt -1) 2))))
(*.f64 (neg.f64 x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y))
(* (pow x 2) (* y (pow (sqrt -1) 2)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (*.f64 x x))
(* (pow x 2) (+ (* y (pow (sqrt -1) 2)) (/ 1 x)))
(*.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(* x (* y (pow (sqrt -1) 2)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) x)
(* x (+ (* y (pow (sqrt -1) 2)) (/ 1 x)))
(*.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y x))))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 (*.f64 x x)) y x)
(+ x (* -1 (* (pow x 3) (pow y 2))))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 y y) x)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) (pow x 2)))
(*.f64 (-.f64 (/.f64 x y) (*.f64 x x)) y)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (-.f64 (/.f64 x y) (*.f64 x x)) y)
(* y (- (/ 1 y) x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) (/.f64 x (*.f64 y y))) (*.f64 y y))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (*.f64 y y))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 x y) (*.f64 x x))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(*.f64 (neg.f64 y) (fma.f64 x x (/.f64 (neg.f64 x) y)))
(* y (+ (* -1 x) (/ 1 y)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(* -1 (* y (+ (* -1 (* (pow x 2) (pow (sqrt -1) 2))) (* -1 (/ x y)))))
(*.f64 (neg.f64 y) (fma.f64 (neg.f64 (*.f64 x x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (neg.f64 x) y)))
(* y (+ (* x (pow (sqrt -1) 2)) (/ 1 y)))
(*.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x (/.f64 #s(literal 1 binary64) y)) y)

rewrite207.0ms (4.1%)

Memory
9.6MiB live, 391.9MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025126
044105
118499
2117889
0927089
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 730
Calls
Call 1
Inputs
(*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x))
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x)))
(neg.f64 x)
(*.f64 (neg.f64 y) x)
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) y x)
(*.f64 x (neg.f64 x))
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)))))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x))))
(sqrt.f64 (*.f64 y x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(neg.f64 y)
(*.f64 y x)
Outputs
(*.f64 (fabs.f64 (*.f64 (*.f64 y x) #s(literal -1 binary64))) x)
(*.f64 (*.f64 (*.f64 y x) #s(literal -1 binary64)) x)
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) y))
(*.f64 (*.f64 x x) (neg.f64 y))
(*.f64 (*.f64 x x) y)
(*.f64 (*.f64 y x) (neg.f64 x))
(*.f64 (*.f64 y x) x)
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 x) x))
(*.f64 y (*.f64 x x))
(*.f64 y (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) (*.f64 y x))
(*.f64 x (*.f64 y x))
(/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y)) (*.f64 (*.f64 x x) y))
(/.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) y)))))
(neg.f64 (*.f64 (*.f64 x x) y))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) y))
(fabs.f64 (-.f64 (*.f64 (*.f64 x x) y) #s(literal 0 binary64)))
(fabs.f64 (*.f64 (*.f64 x x) y))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) y))
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) x))
(*.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (fma.f64 y x #s(literal 1 binary64))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (fma.f64 y x #s(literal -1 binary64)))) (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (fma.f64 y x #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)))
(*.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 x (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (neg.f64 x))) (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)) (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) x) (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))))
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (fma.f64 y x #s(literal -1 binary64))) (fma.f64 y x #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
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eval198.0ms (4%)

Memory
34.6MiB live, 338.9MiB allocated
Compiler

Compiled 23 506 to 3 089 computations (86.9% saved)

prune25.0ms (0.5%)

Memory
-9.8MiB live, 75.2MiB allocated
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New9864990
Fresh134
Picked325
Done000
Total9909999
Accuracy
100.0%
Counts
999 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.5%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
75.9%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) (fma.f64 y x #s(literal 1 binary64)))
18.3%
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))) x) (fma.f64 y x #s(literal 1 binary64)))
99.9%
(-.f64 x (*.f64 (*.f64 y x) x))
53.4%
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)) #s(literal 1 binary64)))
57.2%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)))))
51.4%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
50.7%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
46.3%
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y))
Compiler

Compiled 236 to 154 computations (34.7% saved)

simplify104.0ms (2.1%)

Memory
-5.6MiB live, 108.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

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

Useful iterations: 1 (0.0ms)

IterNodesCost
035213
053204
1131195
2363195
31777195
45271195
08113195
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 x (*.f64 (*.f64 y x) x))
x
(*.f64 (*.f64 y x) x)
(*.f64 y x)
y
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y))
(*.f64 (neg.f64 (*.f64 x x)) y)
(neg.f64 (*.f64 x x))
(*.f64 x x)
x
y
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
x
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
y
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))) x)
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y)))
(*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))
(neg.f64 (*.f64 x x))
(*.f64 x x)
x
(*.f64 y y)
y
(fma.f64 y x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x)
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x)))
#s(literal 1 binary64)
(*.f64 (*.f64 y x) (*.f64 y x))
(*.f64 y x)
y
x
(fma.f64 y x #s(literal 1 binary64))
Outputs
(-.f64 x (*.f64 (*.f64 y x) x))
x
(*.f64 (*.f64 y x) x)
(*.f64 y x)
y
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y))
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (*.f64 (neg.f64 x) y) x))
(*.f64 (neg.f64 (*.f64 x x)) y)
(*.f64 (*.f64 (neg.f64 x) y) x)
(neg.f64 (*.f64 x x))
(*.f64 (neg.f64 x) x)
(*.f64 x x)
x
y
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
(*.f64 #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)) x)
x
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
y
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))) x)
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x)
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y)))
#s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(neg.f64 (*.f64 x x))
(*.f64 (neg.f64 x) x)
(*.f64 x x)
x
(*.f64 y y)
y
(fma.f64 y x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x)))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 (*.f64 y x) (*.f64 y x))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 y x)
y
x
(fma.f64 y x #s(literal 1 binary64))

localize165.0ms (3.3%)

Memory
-23.7MiB live, 151.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y x)
accuracy0.24837875976844204
(*.f64 (*.f64 y x) (*.f64 y x))
accuracy0.48221932289024927
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x)
accuracy14.292717537701446
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) (fma.f64 y x #s(literal 1 binary64)))
accuracy0.48221932289024927
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))) x)
accuracy14.292717537701446
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))) x) (fma.f64 y x #s(literal 1 binary64)))
accuracy17.315275125058832
(*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))
accuracy31.792282174367376
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y)))
accuracy0
(*.f64 (neg.f64 x) y)
accuracy0
(neg.f64 x)
accuracy0.07421875
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
accuracy31.536156228272084
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))
accuracy0
(*.f64 x x)
accuracy0
(neg.f64 (*.f64 x x))
accuracy8.203825224531204
(*.f64 (neg.f64 (*.f64 x x)) y)
accuracy31.03422928519481
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y))
accuracy0
(-.f64 x (*.f64 (*.f64 y x) x))
accuracy0
(*.f64 y x)
accuracy0.12890625
(*.f64 (*.f64 y x) x)
Samples
122.0ms256×0valid
Compiler

Compiled 388 to 67 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 90.0ms
ival-mult: 74.0ms (82% of total)
ival-sub: 6.0ms (6.6% of total)
ival-div: 3.0ms (3.3% of total)
ival-pow2: 3.0ms (3.3% of total)
ival-neg: 3.0ms (3.3% of total)
ival-add: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series20.0ms (0.4%)

Memory
-10.8MiB live, 33.4MiB allocated
Counts
19 → 33
Calls
Call 1
Inputs
(-.f64 x (*.f64 (*.f64 y x) x))
(*.f64 (*.f64 y x) x)
(*.f64 y x)
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y))
(*.f64 (neg.f64 (*.f64 x x)) y)
(neg.f64 (*.f64 x x))
(*.f64 x x)
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))) x)
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x)
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x)))
(*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))
(*.f64 (*.f64 y x) (*.f64 y x))
Outputs
x
(* x (+ 1 (* -1 (* x y))))
(* (pow x 2) y)
(* x y)
(* -1 (* (pow x 2) y))
(* -1 (pow x 2))
(pow x 2)
1
(+ 1 (* -1 (* x y)))
(* -1 (* x y))
(* -1 x)
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (pow y 2))
(* (pow x 2) (- (/ 1 x) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* x (- (/ 1 x) y))
(* -1 (* (pow x 3) (pow y 2)))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* x (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 3) (pow y 2))))
(* y (- (/ x y) (pow x 2)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (- (/ 1 y) x))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* y (+ (* -1 x) (/ 1 y)))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
y
@-inf
((- x (* (* y x) x)) (* (* y x) x) (* y x) (- x (* (neg x) (* (neg y) x))) (* (neg (* x x)) y) (neg (* x x)) (* x x) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (neg x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (* (- 1 (* (* y x) (* y x))) x) (- 1 (* (* y x) (* y x))) (* (neg (* x x)) (* y y)) (* (* y x) (* y x)))
4.0ms
y
@0
((- x (* (* y x) x)) (* (* y x) x) (* y x) (- x (* (neg x) (* (neg y) x))) (* (neg (* x x)) y) (neg (* x x)) (* x x) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (neg x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (* (- 1 (* (* y x) (* y x))) x) (- 1 (* (* y x) (* y x))) (* (neg (* x x)) (* y y)) (* (* y x) (* y x)))
2.0ms
x
@-inf
((- x (* (* y x) x)) (* (* y x) x) (* y x) (- x (* (neg x) (* (neg y) x))) (* (neg (* x x)) y) (neg (* x x)) (* x x) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (neg x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (* (- 1 (* (* y x) (* y x))) x) (- 1 (* (* y x) (* y x))) (* (neg (* x x)) (* y y)) (* (* y x) (* y x)))
2.0ms
x
@inf
((- x (* (* y x) x)) (* (* y x) x) (* y x) (- x (* (neg x) (* (neg y) x))) (* (neg (* x x)) y) (neg (* x x)) (* x x) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (neg x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (* (- 1 (* (* y x) (* y x))) x) (- 1 (* (* y x) (* y x))) (* (neg (* x x)) (* y y)) (* (* y x) (* y x)))
2.0ms
x
@0
((- x (* (* y x) x)) (* (* y x) x) (* y x) (- x (* (neg x) (* (neg y) x))) (* (neg (* x x)) y) (neg (* x x)) (* x x) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (neg x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (* (- 1 (* (* y x) (* y x))) x) (- 1 (* (* y x) (* y x))) (* (neg (* x x)) (* y y)) (* (* y x) (* y x)))

simplify179.0ms (3.6%)

Memory
10.9MiB live, 200.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
066236
1213205
2550205
32158205
46983205
08335205
Stop Event
iter limit
node limit
Counts
33 → 32
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1 (* x y))))
(* (pow x 2) y)
(* x y)
(* -1 (* (pow x 2) y))
(* -1 (pow x 2))
(pow x 2)
1
(+ 1 (* -1 (* x y)))
(* -1 (* x y))
(* -1 x)
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (pow y 2))
(* (pow x 2) (- (/ 1 x) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* x (- (/ 1 x) y))
(* -1 (* (pow x 3) (pow y 2)))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* x (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 3) (pow y 2))))
(* y (- (/ x y) (pow x 2)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (- (/ 1 y) x))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* y (+ (* -1 x) (/ 1 y)))
Outputs
x
(* x (+ 1 (* -1 (* x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* (pow x 2) y)
(*.f64 (*.f64 x x) y)
(* x y)
(*.f64 y x)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 x)
(neg.f64 x)
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) x) (neg.f64 x))
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 (*.f64 x x) y) y)
(* (pow x 2) (- (/ 1 x) y))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* x (- (/ 1 x) y))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (* (pow x 3) (pow y 2)))
(*.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y) y)
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64))
(* x (+ (* -1 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(+ x (* -1 (* (pow x 3) (pow y 2))))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
(* y (- (/ x y) (pow x 2)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* y (- (/ 1 y) x))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* y (+ (* -1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))

rewrite183.0ms (3.6%)

Memory
40.2MiB live, 197.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035180
053171
1211153
21331139
09494139
Stop Event
iter limit
node limit
iter limit
Counts
19 → 794
Calls
Call 1
Inputs
(-.f64 x (*.f64 (*.f64 y x) x))
(*.f64 (*.f64 y x) x)
(*.f64 y x)
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y))
(*.f64 (neg.f64 (*.f64 x x)) y)
(neg.f64 (*.f64 x x))
(*.f64 x x)
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))) x)
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x)
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x)))
(*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))
(*.f64 (*.f64 y x) (*.f64 y x))
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) x))
(*.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64)))) (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal -1 binary64)) (fma.f64 x x (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fma.f64 x x (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x)))))
(*.f64 (fma.f64 x x (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 2 binary64))) (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 y x #s(literal 1 binary64)) x)
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))
(pow.f64 (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (*.f64 (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal -1 binary64))) x) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal -1 binary64))) x))) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))))) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal -1 binary64))) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (*.f64 (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal -1 binary64))) x) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal -1 binary64))) x) (*.f64 (*.f64 (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal -1 binary64))) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x)))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y x) x) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 2 binary64))) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 y x) x) x) #s(literal 2 binary64)))) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 y x) x) x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 2 binary64)))) (fma.f64 x x (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x)) (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 x x (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))))
(/.f64 (fma.f64 x x (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 2 binary64))) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal -1 binary64)))
(fma.f64 (fabs.f64 (*.f64 (*.f64 y x) #s(literal -1 binary64))) x x)
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (*.f64 (*.f64 y x) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 y x) x))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 y x) x))
(fma.f64 (*.f64 (*.f64 y x) #s(literal -1 binary64)) x x)
(fma.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x (neg.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal -1 binary64))) x)))
(fma.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal -1 binary64))) x))
(fma.f64 (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)) x (neg.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal -1 binary64))) x)))
(fma.f64 (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)) x (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal -1 binary64))) x))
(fma.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) (/.f64 x x) (neg.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal -1 binary64))) x)))
(fma.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) (/.f64 x x) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal -1 binary64))) x))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 y x) x) x)
(fma.f64 #s(literal -1 binary64) x (*.f64 (*.f64 y x) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 y x) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 y x) x))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y x) x))
(fma.f64 (*.f64 x x) (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal -1 binary64)) (neg.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal -1 binary64))) x)))
(fma.f64 (*.f64 x x) (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal -1 binary64))) x))
(fma.f64 (*.f64 x x) (neg.f64 y) x)
(fma.f64 (*.f64 x x) y x)
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(fma.f64 (*.f64 y x) x x)
(fma.f64 y (*.f64 x x) x)
(fma.f64 x #s(literal -1 binary64) (*.f64 (*.f64 y x) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 y x) x))
(fma.f64 x (*.f64 y x) x)
(-.f64 (*.f64 (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal -1 binary64))) x))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))))
(-.f64 (*.f64 (*.f64 y x) x) x)
(-.f64 x (*.f64 (*.f64 y x) x))
(+.f64 (*.f64 (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (neg.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal -1 binary64))) x)))
(+.f64 (*.f64 (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal -1 binary64))) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))))
(+.f64 (*.f64 (*.f64 y x) x) x)
(+.f64 x (*.f64 (*.f64 y x) x))
(*.f64 (fabs.f64 (*.f64 (*.f64 y x) #s(literal -1 binary64))) x)
(*.f64 (*.f64 (*.f64 y x) #s(literal -1 binary64)) x)
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y x) x))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) x))
(*.f64 (*.f64 x x) (neg.f64 y))
(*.f64 (*.f64 x x) y)
(*.f64 (neg.f64 y) (*.f64 x x))
(*.f64 (*.f64 y x) x)
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (neg.f64 y) y)) (*.f64 (*.f64 y x) x))
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 y) y)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) y))
(/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 y x) x))
(/.f64 (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 6 binary64))) (*.f64 y (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 x x)))
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(*.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 1 binary64)) y)
(*.f64 (pow.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (*.f64 y y) #s(literal -1 binary64)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 y x) (neg.f64 y)) x)
(*.f64 (*.f64 (*.f64 y y) x) x)
(*.f64 (neg.f64 (*.f64 (*.f64 y x) y)) x)
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))
(*.f64 (*.f64 (*.f64 y x) y) x)
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 y y) (*.f64 x x))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))
(*.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))
(*.f64 (*.f64 (*.f64 y x) x) y)
(*.f64 (neg.f64 y) (*.f64 (*.f64 y x) x))
(*.f64 (*.f64 y x) (*.f64 y x))
(*.f64 y (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 1 binary64)))
(*.f64 y (*.f64 (*.f64 y x) x))
(*.f64 x (fabs.f64 (*.f64 (neg.f64 y) (*.f64 y x))))
(*.f64 x (pow.f64 (*.f64 (neg.f64 y) (*.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (pow.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)))
(*.f64 x (*.f64 (neg.f64 y) (*.f64 y x)))
(*.f64 x (*.f64 (*.f64 y x) y))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 y x)))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (-.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (*.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(/.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(fabs.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 0 binary64)))
(fabs.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (/.f64 (fma.f64 (log.f64 (*.f64 y x)) #s(literal 2 binary64) (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))

eval129.0ms (2.6%)

Memory
-28.6MiB live, 172.2MiB allocated
Compiler

Compiled 18 146 to 2 444 computations (86.5% saved)

prune16.0ms (0.3%)

Memory
18.8MiB live, 57.4MiB allocated
Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New7722774
Fresh022
Picked235
Done022
Total7749783
Accuracy
100.0%
Counts
783 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.5%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
27.1%
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) x) (fma.f64 y x #s(literal 1 binary64)))
99.9%
(-.f64 x (*.f64 (*.f64 y x) x))
53.4%
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)) #s(literal 1 binary64)))
57.2%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)))))
51.4%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
50.7%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
2.9%
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (*.f64 x x) y))
46.3%
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y))
Compiler

Compiled 128 to 86 computations (32.8% saved)

simplify113.0ms (2.2%)

Memory
-16.7MiB live, 139.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)
cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
cost-diff0
(*.f64 (*.f64 y x) x)
cost-diff0
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y)))
cost-diff0
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) x)
cost-diff0
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) x) (fma.f64 y x #s(literal 1 binary64)))
cost-diff0
(*.f64 (neg.f64 y) x)
cost-diff0
(sqrt.f64 (*.f64 (neg.f64 y) x))
cost-diff0
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)) #s(literal 1 binary64)))
cost-diff2048
(fma.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)) #s(literal 1 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) y)
cost-diff0
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (*.f64 x x) y))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033207
053194
1124183
2345183
31595183
44292183
08064183
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (*.f64 x x) y))
(*.f64 (*.f64 x x) y)
(*.f64 x x)
x
y
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)) #s(literal 1 binary64)))
x
(fma.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
#s(literal 1 binary64)
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) x)
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y)))
(*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))
(*.f64 (*.f64 y x) x)
(*.f64 y x)
y
x
(neg.f64 y)
(fma.f64 y x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
y
x
#s(literal 3 binary64)
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))
(fma.f64 y x #s(literal 1 binary64))
Outputs
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (*.f64 x x) y))
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (*.f64 y x) x))
(*.f64 (*.f64 x x) y)
(*.f64 (*.f64 y x) x)
(*.f64 x x)
x
y
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)) #s(literal 1 binary64)))
(*.f64 (fma.f64 y x #s(literal -1 binary64)) (neg.f64 x))
x
(fma.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(sqrt.f64 (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
#s(literal 1 binary64)
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) x)
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x)
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y)))
#s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(*.f64 (*.f64 y x) x)
(*.f64 y x)
y
x
(neg.f64 y)
(fma.f64 y x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
y
x
#s(literal 3 binary64)
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))
(fma.f64 y x #s(literal 1 binary64))

localize136.0ms (2.7%)

Memory
-1.7MiB live, 204.4MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.05078125
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))
accuracy0.09832001953688405
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
accuracy0.2310073081648058
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)
accuracy11.298288438583356
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
accuracy0.2461764110423042
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) x)
accuracy1.636397268772541
(*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))
accuracy8.143960419973366
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) x) (fma.f64 y x #s(literal 1 binary64)))
accuracy15.204355455679472
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y)))
accuracy0
(neg.f64 y)
accuracy0.02734375
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)) #s(literal 1 binary64)))
accuracy0.0859375
(fma.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)) #s(literal 1 binary64))
accuracy7.0948844718545745
(sqrt.f64 (*.f64 (neg.f64 y) x))
accuracy0
(*.f64 x x)
accuracy4.026257460962205
(*.f64 (*.f64 x x) y)
accuracy29.808540548258204
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (*.f64 x x) y))
Samples
55.0ms134×0invalid
42.0ms122×0valid
Compiler

Compiled 392 to 65 computations (83.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 20.0ms (35.1% of total)
ival-add: 17.0ms (29.8% of total)
ival-pow: 6.0ms (10.5% of total)
ival-sub: 4.0ms (7% of total)
ival-div: 3.0ms (5.3% of total)
ival-pow2: 3.0ms (5.3% of total)
ival-sqrt: 2.0ms (3.5% of total)
ival-neg: 2.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series31.0ms (0.6%)

Memory
-1.0MiB live, 73.4MiB allocated
Counts
18 → 65
Calls
Call 1
Inputs
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (*.f64 x x) y))
(*.f64 (*.f64 x x) y)
(*.f64 x x)
(fma.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)) #s(literal 1 binary64))
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) x)
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y)))
(*.f64 (*.f64 y x) x)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
(neg.f64 y)
(*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))
Outputs
x
(* x (+ 1 (* -1 (* x y))))
(* (pow x 2) y)
(pow x 2)
1
(+ 1 (* x (* y (pow (sqrt -1) 2))))
(* x (+ 1 (* x (* y (pow (sqrt -1) 2)))))
(* (sqrt (* x y)) (sqrt -1))
(* -1 (* x y))
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* x (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(* x (+ 1 (* x (- (* x (- (* x (* y (+ (* -1 (pow y 2)) (pow y 2)))) (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(* x (+ 1 (* -1 (* (pow x 3) (pow y 3)))))
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(* (pow x 3) (pow y 3))
(* -1 (* (pow x 2) (pow y 2)))
(+ 1 (* x y))
(+ 1 (* x (+ y (* x (pow y 2)))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (- (/ 1 x) y))
(* x (* y (pow (sqrt -1) 2)))
(* x (+ (* y (pow (sqrt -1) 2)) (/ 1 x)))
(* (pow x 2) (* y (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* y (pow (sqrt -1) 2)) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 3) (pow y 2)))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* -1 (* (pow x 4) (pow y 3)))
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(* -1 (* (pow x 3) (pow y 3)))
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3)))
(* (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ y x) (pow y 2)))
(* (pow x 2) (+ (/ 1 (pow x 2)) (+ (/ y x) (pow y 2))))
(* -1 (* x (- y (/ 1 x))))
(* -1 (* (sqrt (* x y)) (sqrt -1)))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* (pow x 2) (* y (pow (sqrt -1) 2))))
(+ x (* -1 (* (pow x 3) (pow y 2))))
(+ x (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(+ x (* y (- (* y (- (* x (* y (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(+ x (* -1 (* (pow x 4) (pow y 3))))
(* -1 y)
(+ 1 (* y (+ x (* (pow x 2) y))))
(* y (- (/ x y) (pow x 2)))
(* y (+ (* x (pow (sqrt -1) 2)) (/ 1 y)))
(* y (+ (* (pow x 2) (pow (sqrt -1) 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 3) (+ (* -1 (pow x 4)) (/ x (pow y 3))))
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(* (pow y 2) (+ (/ x y) (pow x 2)))
(* (pow y 2) (+ (/ 1 (pow y 2)) (+ (/ x y) (pow x 2))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))
(* -1 (* y (- x (/ 1 y))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (pow x 4))))
(* (pow y 3) (+ (* -1 (pow x 3)) (/ 1 (pow y 3))))
(* (pow y 2) (+ (* -1 (/ (- (* -1 x) (/ 1 y)) y)) (pow x 2)))
Calls

6 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
((- x (* (neg x) (* (neg y) x))) (* (* x x) y) (* x x) (+ (* (sqrt (* (neg y) x)) (sqrt (* (neg y) x))) 1) (* x (+ (* (sqrt (* (neg y) x)) (sqrt (* (neg y) x))) 1)) (sqrt (* (neg y) x)) (* (neg y) x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* y x) x) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (neg y) (* (* (* y x) x) (neg y)) (+ (* (+ (* y x) 1) (* y x)) 1))
5.0ms
y
@-inf
((- x (* (neg x) (* (neg y) x))) (* (* x x) y) (* x x) (+ (* (sqrt (* (neg y) x)) (sqrt (* (neg y) x))) 1) (* x (+ (* (sqrt (* (neg y) x)) (sqrt (* (neg y) x))) 1)) (sqrt (* (neg y) x)) (* (neg y) x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* y x) x) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (neg y) (* (* (* y x) x) (neg y)) (+ (* (+ (* y x) 1) (* y x)) 1))
4.0ms
x
@inf
((- x (* (neg x) (* (neg y) x))) (* (* x x) y) (* x x) (+ (* (sqrt (* (neg y) x)) (sqrt (* (neg y) x))) 1) (* x (+ (* (sqrt (* (neg y) x)) (sqrt (* (neg y) x))) 1)) (sqrt (* (neg y) x)) (* (neg y) x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* y x) x) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (neg y) (* (* (* y x) x) (neg y)) (+ (* (+ (* y x) 1) (* y x)) 1))
4.0ms
y
@inf
((- x (* (neg x) (* (neg y) x))) (* (* x x) y) (* x x) (+ (* (sqrt (* (neg y) x)) (sqrt (* (neg y) x))) 1) (* x (+ (* (sqrt (* (neg y) x)) (sqrt (* (neg y) x))) 1)) (sqrt (* (neg y) x)) (* (neg y) x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* y x) x) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (neg y) (* (* (* y x) x) (neg y)) (+ (* (+ (* y x) 1) (* y x)) 1))
4.0ms
x
@0
((- x (* (neg x) (* (neg y) x))) (* (* x x) y) (* x x) (+ (* (sqrt (* (neg y) x)) (sqrt (* (neg y) x))) 1) (* x (+ (* (sqrt (* (neg y) x)) (sqrt (* (neg y) x))) 1)) (sqrt (* (neg y) x)) (* (neg y) x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* y x) x) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (neg y) (* (* (* y x) x) (neg y)) (+ (* (+ (* y x) 1) (* y x)) 1))

simplify31.0ms (0.6%)

Memory
19.8MiB live, 58.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0170694
0600665
Stop Event
iter limit
iter limit
iter limit
unsound
Counts
65 → 64
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1 (* x y))))
(* (pow x 2) y)
(pow x 2)
1
(+ 1 (* x (* y (pow (sqrt -1) 2))))
(* x (+ 1 (* x (* y (pow (sqrt -1) 2)))))
(* (sqrt (* x y)) (sqrt -1))
(* -1 (* x y))
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* x (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(* x (+ 1 (* x (- (* x (- (* x (* y (+ (* -1 (pow y 2)) (pow y 2)))) (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(* x (+ 1 (* -1 (* (pow x 3) (pow y 3)))))
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(* (pow x 3) (pow y 3))
(* -1 (* (pow x 2) (pow y 2)))
(+ 1 (* x y))
(+ 1 (* x (+ y (* x (pow y 2)))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (- (/ 1 x) y))
(* x (* y (pow (sqrt -1) 2)))
(* x (+ (* y (pow (sqrt -1) 2)) (/ 1 x)))
(* (pow x 2) (* y (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* y (pow (sqrt -1) 2)) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 3) (pow y 2)))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* -1 (* (pow x 4) (pow y 3)))
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(* -1 (* (pow x 3) (pow y 3)))
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3)))
(* (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ y x) (pow y 2)))
(* (pow x 2) (+ (/ 1 (pow x 2)) (+ (/ y x) (pow y 2))))
(* -1 (* x (- y (/ 1 x))))
(* -1 (* (sqrt (* x y)) (sqrt -1)))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* (pow x 2) (* y (pow (sqrt -1) 2))))
(+ x (* -1 (* (pow x 3) (pow y 2))))
(+ x (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(+ x (* y (- (* y (- (* x (* y (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(+ x (* -1 (* (pow x 4) (pow y 3))))
(* -1 y)
(+ 1 (* y (+ x (* (pow x 2) y))))
(* y (- (/ x y) (pow x 2)))
(* y (+ (* x (pow (sqrt -1) 2)) (/ 1 y)))
(* y (+ (* (pow x 2) (pow (sqrt -1) 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 3) (+ (* -1 (pow x 4)) (/ x (pow y 3))))
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(* (pow y 2) (+ (/ x y) (pow x 2)))
(* (pow y 2) (+ (/ 1 (pow y 2)) (+ (/ x y) (pow x 2))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))
(* -1 (* y (- x (/ 1 y))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (pow x 4))))
(* (pow y 3) (+ (* -1 (pow x 3)) (/ 1 (pow y 3))))
(* (pow y 2) (+ (* -1 (/ (- (* -1 x) (/ 1 y)) y)) (pow x 2)))
Outputs
x
(* x (+ 1 (* -1 (* x y))))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* (pow x 2) y)
(*.f64 (*.f64 x x) y)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* x (* y (pow (sqrt -1) 2))))
(fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) x #s(literal 1 binary64))
(* x (+ 1 (* x (* y (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) x #s(literal 1 binary64)) x)
(* (sqrt (* x y)) (sqrt -1))
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(*.f64 (fma.f64 (neg.f64 (*.f64 x x)) (*.f64 y y) #s(literal 1 binary64)) x)
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (neg.f64 (*.f64 x x)) (*.f64 y y) #s(literal 1 binary64))
(* x (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(*.f64 (fma.f64 (fma.f64 (neg.f64 x) (*.f64 #s(literal 0 binary64) (*.f64 y y)) (neg.f64 y)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (- (* x (* y (+ (* -1 (pow y 2)) (pow y 2)))) (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) y) x) (*.f64 #s(literal 0 binary64) (*.f64 y y))) x (neg.f64 y)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* -1 (* (pow x 3) (pow y 3)))))
(*.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) x)
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(* (pow x 3) (pow y 3))
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* x (+ y (* x (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 y y) x y) x #s(literal 1 binary64))
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 (*.f64 x x)) y)
(* (pow x 2) (- (/ 1 x) y))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 x x))
(* x (* y (pow (sqrt -1) 2)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) x)
(* x (+ (* y (pow (sqrt -1) 2)) (/ 1 x)))
(*.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y (/.f64 #s(literal 1 binary64) x)) x)
(* (pow x 2) (* y (pow (sqrt -1) 2)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (*.f64 x x))
(* (pow x 2) (+ (* y (pow (sqrt -1) 2)) (/ 1 x)))
(*.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 x x))
(* -1 (* (pow x 3) (pow y 2)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 y y)) (*.f64 x x))
(* -1 (* (pow x 4) (pow y 3)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 3) (pow y 3)))
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 y y) (*.f64 x x))
(* (pow x 2) (+ (/ y x) (pow y 2)))
(*.f64 (fma.f64 y y (/.f64 y x)) (*.f64 x x))
(* (pow x 2) (+ (/ 1 (pow x 2)) (+ (/ y x) (pow y 2))))
(*.f64 (+.f64 (fma.f64 y y (/.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))
(* -1 (* x (- y (/ 1 x))))
(*.f64 (neg.f64 x) (-.f64 y (/.f64 #s(literal 1 binary64) x)))
(* -1 (* (sqrt (* x y)) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2)))
(*.f64 (fma.f64 y y (neg.f64 (/.f64 (-.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x)) x))) (*.f64 x x))
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 (*.f64 x x)) y x)
(+ x (* (pow x 2) (* y (pow (sqrt -1) 2))))
(fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (*.f64 x x) x)
(+ x (* -1 (* (pow x 3) (pow y 2))))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 y y) x)
(+ x (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(fma.f64 (-.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) y x)
(+ x (* y (- (* y (- (* x (* y (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) y) x) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) y (neg.f64 (*.f64 x x))) y x)
(+ x (* -1 (* (pow x 4) (pow y 3))))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)) x)
(* -1 y)
(neg.f64 y)
(+ 1 (* y (+ x (* (pow x 2) y))))
(fma.f64 (fma.f64 (*.f64 x x) y x) y #s(literal 1 binary64))
(* y (- (/ x y) (pow x 2)))
(*.f64 (-.f64 (/.f64 x y) (*.f64 x x)) y)
(* y (+ (* x (pow (sqrt -1) 2)) (/ 1 y)))
(*.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x (/.f64 #s(literal 1 binary64) y)) y)
(* y (+ (* (pow x 2) (pow (sqrt -1) 2)) (/ x y)))
(*.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x x) (/.f64 x y)) y)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (-.f64 (/.f64 x y) (*.f64 x x)) y)
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) (/.f64 x (*.f64 y y))) (*.f64 y y))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (*.f64 y y))
(* (pow y 3) (+ (* -1 (pow x 4)) (/ x (pow y 3))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 2) (+ (/ x y) (pow x 2)))
(*.f64 (fma.f64 x x (/.f64 x y)) (*.f64 y y))
(* (pow y 2) (+ (/ 1 (pow y 2)) (+ (/ x y) (pow x 2))))
(*.f64 (+.f64 (fma.f64 x x (/.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 x y) (*.f64 x x))))
(* -1 (* y (- x (/ 1 y))))
(*.f64 (neg.f64 y) (-.f64 x (/.f64 #s(literal 1 binary64) y)))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(*.f64 (neg.f64 y) (fma.f64 x x (/.f64 (neg.f64 x) y)))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (pow x 4))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(* (pow y 3) (+ (* -1 (pow x 3)) (/ 1 (pow y 3))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 2) (+ (* -1 (/ (- (* -1 x) (/ 1 y)) y)) (pow x 2)))
(*.f64 (fma.f64 x x (neg.f64 (/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y)) y))) (*.f64 y y))

rewrite231.0ms (4.6%)

Memory
-9.2MiB live, 245.4MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033179
053155
1222143
21626133
09188133
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 304
Calls
Call 1
Inputs
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (*.f64 x x) y))
(*.f64 (*.f64 x x) y)
(*.f64 x x)
(fma.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)) #s(literal 1 binary64))
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) x)
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y)))
(*.f64 (*.f64 y x) x)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
(neg.f64 y)
(*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))
Outputs
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (*.f64 y x) x))
(*.f64 (fabs.f64 (*.f64 (*.f64 y x) #s(literal -1 binary64))) x)
(*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (*.f64 y x)))) (sqrt.f64 (*.f64 y x)))
(*.f64 (*.f64 (*.f64 y x) #s(literal -1 binary64)) x)
(*.f64 (*.f64 x (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y x) x))
(*.f64 (*.f64 y x) x)
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) x))
(*.f64 (sqrt.f64 (*.f64 y x)) (fabs.f64 (*.f64 (sqrt.f64 (*.f64 y x)) x)))
(*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) x))
(*.f64 (neg.f64 y) (*.f64 x x))
(*.f64 (*.f64 x x) (neg.f64 y))
(*.f64 (*.f64 x x) y)
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(neg.f64 (*.f64 (*.f64 y x) x))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) x))
(fabs.f64 (-.f64 (*.f64 (*.f64 y x) x) #s(literal 0 binary64)))
(fabs.f64 (*.f64 (*.f64 y x) x))
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(*.f64 (*.f64 x x) (*.f64 y (neg.f64 y)))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64))))
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(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))
(fma.f64 (*.f64 y x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64))
(fma.f64 y (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(fma.f64 x (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x)))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y)) x))
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (*.f64 y x)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x)))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x)))))
(+.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) (pow.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x))

eval263.0ms (5.2%)

Memory
3.2MiB live, 301.6MiB allocated
Compiler

Compiled 32 446 to 3 915 computations (87.9% saved)

prune29.0ms (0.6%)

Memory
16.7MiB live, 91.5MiB allocated
Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New1 24701 247
Fresh000
Picked044
Done055
Total1 24791 256
Accuracy
100.0%
Counts
1 256 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.5%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
27.1%
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) x) (fma.f64 y x #s(literal 1 binary64)))
99.9%
(-.f64 x (*.f64 (*.f64 y x) x))
53.4%
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)) #s(literal 1 binary64)))
57.2%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)))))
51.4%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
50.7%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
2.9%
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (*.f64 x x) y))
46.3%
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y))
Compiler

Compiled 339 to 158 computations (53.4% saved)

regimes28.0ms (0.6%)

Memory
-28.7MiB live, 26.8MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (*.f64 x x) y))
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
(-.f64 x (*.f64 (*.f64 y x) x))
(fma.f64 (*.f64 x (neg.f64 x)) y x)
(fma.f64 (*.f64 (neg.f64 y) x) x x)
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) x)))
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 y y))) x) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))) x) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)))))
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
Outputs
(-.f64 x (*.f64 (*.f64 y x) x))
Calls

3 calls:

17.0ms
y
5.0ms
x
5.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes8.0ms (0.2%)

Memory
10.6MiB live, 10.6MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (*.f64 x x) y))
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0.1%)

Memory
12.7MiB live, 12.7MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (*.f64 x x) y))
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
Outputs
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
Calls

3 calls:

2.0ms
x
2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
2.0ms
y
Results
AccuracySegmentsBranch
77.3%3x
75.6%3y
87.8%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory
4.3MiB live, 4.3MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (*.f64 x x) y))
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y))
Outputs
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y))
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y))
Calls

1 calls:

2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Results
AccuracySegmentsBranch
84.4%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes6.0ms (0.1%)

Memory
-20.4MiB live, 16.5MiB allocated
Accuracy

Total -30.6b remaining (-97.1%)

Threshold costs -30.6b (-97.1%)

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

3 calls:

3.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
50.7%1y
50.7%1x
50.7%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.169200893941228e+87
1.844928462888255e+94
0.0ms
-2.006169080454069e+35
-1.8243560231181992e+34
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.169200893941228e+87
1.844928462888255e+94
0.0ms
-2.006169080454069e+35
-1.8243560231181992e+34
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify42.0ms (0.8%)

Memory
20.1MiB live, 95.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034137
162137
293137
3146137
4251137
5346137
6415137
7473137
8539137
9558137
10561137
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 x (*.f64 (*.f64 y x) x))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -199999999999999993726732215835951104 binary64)) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 9999999999999999594167244563503627314919960896484514396697390098067039229509544255160320 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))))
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -199999999999999993726732215835951104 binary64)) #s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y)) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 9999999999999999594167244563503627314919960896484514396697390098067039229509544255160320 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y))))
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
Outputs
(-.f64 x (*.f64 (*.f64 y x) x))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -199999999999999993726732215835951104 binary64)) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 9999999999999999594167244563503627314919960896484514396697390098067039229509544255160320 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) #s(literal -199999999999999993726732215835951104 binary64)) (*.f64 #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)) x) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) #s(literal 9999999999999999594167244563503627314919960896484514396697390098067039229509544255160320 binary64)) (*.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x) (*.f64 #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)) x)))
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -199999999999999993726732215835951104 binary64)) #s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y)) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 9999999999999999594167244563503627314919960896484514396697390098067039229509544255160320 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (neg.f64 (*.f64 x x)) y))))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) #s(literal -199999999999999993726732215835951104 binary64)) #s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (*.f64 (neg.f64 x) x) y)) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) #s(literal 9999999999999999594167244563503627314919960896484514396697390098067039229509544255160320 binary64)) (*.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x) #s(approx (- x (* (neg x) (* (neg y) x))) (*.f64 (*.f64 (neg.f64 x) x) y))))
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x)

soundness589.0ms (11.7%)

Memory
-13.4MiB live, 428.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03485
111475
226775
380075
4358775
0822475
086355
0280344
025126
044105
118499
2117889
0927089
0615
0915
13215
219915
3166215
0938113
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
iter limit
iter limit
unsound
iter limit
node limit
Compiler

Compiled 206 to 87 computations (57.8% saved)

preprocess64.0ms (1.3%)

Memory
-2.5MiB live, 87.9MiB allocated
Compiler

Compiled 288 to 78 computations (72.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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