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

Time bar (total: 5.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB 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)

sample1.1s (21.3%)

Memory
-42.4MiB live, 829.1MiB allocated
Samples
874.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 398.0ms
ival-mult: 322.0ms (80.9% of total)
ival-sub: 62.0ms (15.6% of total)
ival-true: 6.0ms (1.5% of total)
exact: 5.0ms (1.3% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain70.0ms (1.4%)

Memory
-9.8MiB live, 102.2MiB 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
23.0ms512×0valid
Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (65.1% of total)
ival-sub: 3.0ms (27.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess33.0ms (0.6%)

Memory
34.4MiB live, 34.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01637
15937
214035
333735
462135
573335
675035
067
097
1187
2397
3697
41497
51937
62417
73217
83967
94137
104137
04137
Stop Event
iter limit
saturated
iter limit
saturated
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
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune19.0ms (0.4%)

Memory
-37.1MiB live, 3.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify13.0ms (0.3%)

Memory
23.2MiB live, 23.2MiB 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
23918
36918
414918
519318
624118
732118
839618
941318
1041318
041318
Stop Event
iter limit
saturated
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

localize20.0ms (0.4%)

Memory
2.9MiB live, 38.8MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 #s(literal 1 binary64) (*.f64 x y))
accuracy0.0
(*.f64 x y)
accuracy0.09765625
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Samples
15.0ms256×0valid
Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (75.9% of total)
ival-sub: 1.0ms (19% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB allocated
Counts
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))

simplify177.0ms (3.5%)

Memory
-18.2MiB live, 134.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03485
110875
219875
352475
4246475
5596775
0819475
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))

rewrite289.0ms (5.6%)

Memory
37.0MiB live, 267.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
13115
219415
3150815
0961313
Stop Event
iter limit
node limit
iter limit
Counts
3 → 614
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 #s(literal 1 binary64) (pow.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x (pow.f64 (*.f64 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 (+.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) (/.f64 #s(literal -1 binary64) (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)))) (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 #s(literal -1 binary64) (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 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 x 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)) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (/.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 #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 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (neg.f64 x)) y) 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 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)) (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))))) (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 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))) (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)))) (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))) 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) (-.f64 #s(literal -1 binary64) (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.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 (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (-.f64 #s(literal -1 binary64) (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64))) (+.f64 x (*.f64 (*.f64 x 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 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)) (-.f64 #s(literal -1 binary64) (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 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 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) (/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 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 y x #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 (-.f64 #s(literal -1 binary64) (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 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 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))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(fma.f64 (*.f64 (neg.f64 y) x) x x)
(fma.f64 (*.f64 y x) (neg.f64 x) x)
(fma.f64 y (*.f64 (neg.f64 x) x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 x (neg.f64 x)) y))
(fma.f64 x (*.f64 (neg.f64 y) x) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 x (neg.f64 x)) y))
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(-.f64 x (*.f64 (*.f64 x x) y))
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(+.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 (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64))))) (fma.f64 (fma.f64 y x (pow.f64 (*.f64 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 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 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 (neg.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 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 (neg.f64 x) #s(literal 3 binary64)) (/.f64 (pow.f64 y #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 (*.f64 (neg.f64 y) x) (/.f64 (pow.f64 (*.f64 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 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (*.f64 y x) (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)) (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 #s(literal 0 binary64) (fma.f64 y x #s(literal 1 binary64)))
(+.f64 (*.f64 y x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y #s(literal -1 binary64))) x))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) x) #s(literal -1 binary64)))
(+.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 (pow.f64 (*.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(*.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 #s(literal -1 binary64) (*.f64 (neg.f64 y) x))
(*.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 y x) #s(literal 1 binary64))
(/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (neg.f64 y) x))
(/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 0 binary64))))
(neg.f64 (*.f64 (neg.f64 y) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y x)))
(+.f64 #s(literal 0 binary64) (*.f64 y x))

eval84.0ms (1.6%)

Memory
-35.2MiB live, 172.2MiB allocated
Compiler

Compiled 20 370 to 1 646 computations (91.9% saved)

prune17.0ms (0.3%)

Memory
21.9MiB live, 59.0MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New61010620
Fresh000
Picked101
Done000
Total61110621
Accuracy
100.0%
Counts
621 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 (neg.f64 y) x) x x)
89.9%
(fma.f64 (*.f64 x (neg.f64 x)) y x)
80.5%
(/.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)))
81.9%
(*.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))))
67.8%
(*.f64 x (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
81.9%
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64))))
58.5%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/2 binary64)))))
77.1%
(*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))))
47.3%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
54.9%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
Compiler

Compiled 266 to 176 computations (33.8% saved)

simplify215.0ms (4.2%)

Memory
17.9MiB live, 244.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
cost-diff0
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
cost-diff0
(*.f64 x (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
cost-diff7808
(fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
cost-diff0
(*.f64 y x)
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))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
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
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) x)
cost-diff0
(fma.f64 (*.f64 (neg.f64 y) x) x x)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024142
044134
194133
2196126
3798126
43218126
54925126
08724126
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (neg.f64 y) x) x x)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(*.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 (-.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 #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)
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
(fma.f64 y x #s(literal 1 binary64))
(*.f64 x (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
x
(fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 y x)
y
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
#s(literal 1 binary64)
Outputs
(fma.f64 (*.f64 (neg.f64 y) x) x x)
(*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x)
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(neg.f64 y)
y
x
(*.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 x (neg.f64 y) #s(literal 1 binary64)) x)
(*.f64 x (neg.f64 x))
(*.f64 (neg.f64 x) x)
x
(neg.f64 x)
y
(*.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 x (fma.f64 x y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 y x)
(*.f64 x y)
y
x
#s(literal 2 binary64)
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
(/.f64 x (fma.f64 x y #s(literal 1 binary64)))
(fma.f64 y x #s(literal 1 binary64))
(fma.f64 x y #s(literal 1 binary64))
(*.f64 x (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x)
x
(fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
(fma.f64 x (neg.f64 y) #s(literal 1 binary64))
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 y x)
(*.f64 x y)
y
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
#s(literal 1 binary64)

localize162.0ms (3.2%)

Memory
-5.0MiB live, 203.1MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.09765625
(*.f64 x (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
accuracy0.234375
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
accuracy0.9087909445625821
(/.f64 #s(literal 1 binary64) (*.f64 y x))
accuracy22.911397118196525
(fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
accuracy0.0
(*.f64 y x)
accuracy0.234375
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
accuracy3.578397001206331
(*.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))))
accuracy7.6543431509075015
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
accuracy0.0
(*.f64 x (neg.f64 x))
accuracy0.0
(neg.f64 x)
accuracy6.44885082596955
(fma.f64 (*.f64 x (neg.f64 x)) y x)
accuracy0.09765625
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
accuracy28.990793318853147
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
accuracy0.0
(*.f64 (neg.f64 y) x)
accuracy0.0
(neg.f64 y)
accuracy0.08203125
(fma.f64 (*.f64 (neg.f64 y) x) x x)
Samples
90.0ms256×0valid
Compiler

Compiled 289 to 53 computations (81.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-sub: 36.0ms (47.6% of total)
ival-mult: 25.0ms (33% of total)
ival-add: 5.0ms (6.6% of total)
ival-div: 4.0ms (5.3% of total)
ival-neg: 4.0ms (5.3% of total)
ival-pow2: 3.0ms (4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series22.0ms (0.4%)

Memory
-22.2MiB live, 54.0MiB allocated
Counts
17 → 42
Calls
Call 1
Inputs
(fma.f64 (*.f64 (neg.f64 y) x) x x)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
(*.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))
(neg.f64 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 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 y x)
(fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
(*.f64 x (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
Outputs
x
(* x (+ 1 (* -1 (* x y))))
(* -1 (* x y))
1
(+ 1 (* -1 (* x y)))
(* -1 (pow x 2))
(* -1 x)
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* (pow x 2) (pow y 2))
(* x y)
(* -1 (* (pow x 2) (pow y 2)))
(* x (+ 1 (* x (- (* x (pow y 2)) y))))
(* x (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y))))
(/ 1 (* x y))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* x (- (/ 1 x) y))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* x (+ (* -1 y) (/ 1 x)))
(/ 1 y)
(- (/ 1 y) (/ 1 (* x (pow y 2))))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2))))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4)))))
(* -1 (* x (- y (/ 1 x))))
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y))
(+ x (* -1 (* (pow x 2) y)))
(* -1 y)
(+ x (* y (- (* (pow x 3) y) (pow x 2))))
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2))))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (- (/ 1 y) x))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* y (+ (* -1 x) (/ 1 y)))
(/ (- 1 (/ 1 (* x y))) y)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) y)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (- x (/ 1 y))))
(* -1 (/ (- (/ 1 (* x y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) y))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@0
((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (+ (* (* x (neg x)) y) x) (* x (neg x)) (neg x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (+ (* (neg (pow (* y x) 2)) (/ 1 (* y x))) 1) (* x (+ (* (neg (pow (* y x) 2)) (/ 1 (* y x))) 1)) (neg (pow (* y x) 2)) (/ x (+ (* y x) 1)) (/ 1 (* y x)))
4.0ms
x
@inf
((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (+ (* (* x (neg x)) y) x) (* x (neg x)) (neg x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (+ (* (neg (pow (* y x) 2)) (/ 1 (* y x))) 1) (* x (+ (* (neg (pow (* y x) 2)) (/ 1 (* y x))) 1)) (neg (pow (* y x) 2)) (/ x (+ (* y x) 1)) (/ 1 (* y x)))
4.0ms
y
@inf
((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (+ (* (* x (neg x)) y) x) (* x (neg x)) (neg x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (+ (* (neg (pow (* y x) 2)) (/ 1 (* y x))) 1) (* x (+ (* (neg (pow (* y x) 2)) (/ 1 (* y x))) 1)) (neg (pow (* y x) 2)) (/ x (+ (* y x) 1)) (/ 1 (* y x)))
3.0ms
x
@-inf
((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (+ (* (* x (neg x)) y) x) (* x (neg x)) (neg x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (+ (* (neg (pow (* y x) 2)) (/ 1 (* y x))) 1) (* x (+ (* (neg (pow (* y x) 2)) (/ 1 (* y x))) 1)) (neg (pow (* y x) 2)) (/ x (+ (* y x) 1)) (/ 1 (* y x)))
3.0ms
y
@-inf
((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (+ (* (* x (neg x)) y) x) (* x (neg x)) (neg x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (+ (* (neg (pow (* y x) 2)) (/ 1 (* y x))) 1) (* x (+ (* (neg (pow (* y x) 2)) (/ 1 (* y x))) 1)) (neg (pow (* y x) 2)) (/ x (+ (* y x) 1)) (/ 1 (* y x)))

simplify134.0ms (2.6%)

Memory
9.9MiB live, 203.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0139462
1413425
2983420
33280406
08231399
Stop Event
iter limit
node limit
Counts
42 → 41
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1 (* x y))))
(* -1 (* x y))
1
(+ 1 (* -1 (* x y)))
(* -1 (pow x 2))
(* -1 x)
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* (pow x 2) (pow y 2))
(* x y)
(* -1 (* (pow x 2) (pow y 2)))
(* x (+ 1 (* x (- (* x (pow y 2)) y))))
(* x (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y))))
(/ 1 (* x y))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* x (- (/ 1 x) y))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* x (+ (* -1 y) (/ 1 x)))
(/ 1 y)
(- (/ 1 y) (/ 1 (* x (pow y 2))))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2))))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4)))))
(* -1 (* x (- y (/ 1 x))))
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y))
(+ x (* -1 (* (pow x 2) y)))
(* -1 y)
(+ x (* y (- (* (pow x 3) y) (pow x 2))))
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2))))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (- (/ 1 y) x))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* y (+ (* -1 x) (/ 1 y)))
(/ (- 1 (/ 1 (* x y))) y)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) y)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (- x (/ 1 y))))
(* -1 (/ (- (/ 1 (* x y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) y))
Outputs
x
(* x (+ 1 (* -1 (* x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 x)
(neg.f64 x)
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (*.f64 (*.f64 y y) x) (neg.f64 x) #s(literal 1 binary64))
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 (*.f64 x x) y) y)
(* x y)
(*.f64 x y)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))
(* x (+ 1 (* x (- (* x (pow y 2)) y))))
(*.f64 (fma.f64 (*.f64 y (fma.f64 x y #s(literal -1 binary64))) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y))))
(*.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 x y #s(literal -1 binary64))) x y)) x #s(literal 1 binary64)) x)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x)
(* x (- (/ 1 x) y))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(fma.f64 (*.f64 (*.f64 y y) x) (neg.f64 x) #s(literal 1 binary64))
(* x (+ (* -1 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(- (/ 1 y) (/ 1 (* x (pow y 2))))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) #s(literal -1 binary64)) y)
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2))))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y) (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1 binary64)) y)
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4)))))
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64)) y))
(* -1 (* x (- y (/ 1 x))))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y) (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1 binary64)) y)
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y))
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64)) y))
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x)
(* -1 y)
(neg.f64 y)
(+ x (* y (- (* (pow x 3) y) (pow x 2))))
(*.f64 (fma.f64 (*.f64 y (fma.f64 x y #s(literal -1 binary64))) x #s(literal 1 binary64)) x)
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2))))
(fma.f64 (neg.f64 y) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) y (neg.f64 (pow.f64 x #s(literal 3 binary64)))) y (*.f64 x x)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x)
(* y (- (/ 1 y) x))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(fma.f64 (*.f64 (*.f64 y y) x) (neg.f64 x) #s(literal 1 binary64))
(* y (+ (* -1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(/ (- 1 (/ 1 (* x y))) y)
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) #s(literal -1 binary64)) y)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y) (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1 binary64)) y)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) y)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y) (/.f64 #s(literal 1 binary64) x)) y) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64))) y)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x)
(* -1 (* y (- x (/ 1 y))))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (/ (- (/ 1 (* x y)) 1) y))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) #s(literal -1 binary64)) y)
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y) (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1 binary64)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) y)) y) #s(literal -1 binary64)) y)

rewrite123.0ms (2.4%)

Memory
20.9MiB live, 104.7MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024116
044107
1185100
01327100
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
17 → 356
Calls
Call 1
Inputs
(fma.f64 (*.f64 (neg.f64 y) x) x x)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
(*.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))
(neg.f64 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 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 y x)
(fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
(*.f64 x (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) y) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 x) x) y (neg.f64 x))))
(*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 x) x) y)) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) y) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (neg.f64 x) y #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) x) (+.f64 (fma.f64 x y #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (+.f64 (fma.f64 x y #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 (neg.f64 x) x) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (*.f64 (neg.f64 x) x) y (neg.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 x) x) y)) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) y) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (*.f64 (neg.f64 x) x) y (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) y) #s(literal 2 binary64)) (*.f64 (neg.f64 y) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 x) x) y)) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) y (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) y) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 x) x) y)) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (*.f64 x (pow.f64 (*.f64 x y) #s(literal -1 binary64))) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) x)
(fma.f64 (*.f64 x (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (pow.f64 (*.f64 x y) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 x x) (neg.f64 y) x)
(fma.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x x)) x)
(fma.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) x) x)
(fma.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) x) x)
(fma.f64 (*.f64 x y) (neg.f64 x) x)
(fma.f64 (*.f64 (neg.f64 x) x) y x)
(fma.f64 (neg.f64 x) (*.f64 x y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 (neg.f64 x) x) y))
(fma.f64 (*.f64 x (neg.f64 y)) x x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) y))
(fma.f64 x (*.f64 x (neg.f64 y)) x)
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(fma.f64 y (*.f64 (neg.f64 x) x) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 x) x) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 (neg.f64 x) x) y (neg.f64 x))))
(+.f64 (*.f64 (*.f64 (neg.f64 x) x) y) x)
(+.f64 x (*.f64 (*.f64 (neg.f64 x) x) y))
(*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64))))
(*.f64 (neg.f64 x) y)
(*.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y)))
(*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64))
(*.f64 x (neg.f64 y))
(*.f64 (neg.f64 y) x)
(*.f64 y (neg.f64 x))
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) x)
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (*.f64 x (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal -1 binary64))) x)
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 x (neg.f64 y)))
(/.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) x) y)
(/.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) y) x)
(/.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 x y))
(/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(neg.f64 (*.f64 x y))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
(neg.f64 y)
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(*.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x)
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) y) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 x) x) y (neg.f64 x))))
(*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 x) x) y)) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) y) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (neg.f64 x) y #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) x) (+.f64 (fma.f64 x y #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))
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eval92.0ms (1.8%)

Memory
-43.8MiB live, 88.7MiB allocated
Compiler

Compiled 7 051 to 1 163 computations (83.5% saved)

prune11.0ms (0.2%)

Memory
22.1MiB live, 22.1MiB allocated
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New3824386
Fresh325
Picked235
Done000
Total3879396
Accuracy
100.0%
Counts
396 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 (neg.f64 y) x) x x)
40.0%
(fma.f64 (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) y x)
89.9%
(fma.f64 (*.f64 x (neg.f64 x)) y x)
80.5%
(/.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)))
81.9%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
67.8%
(*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
47.3%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
54.9%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
42.6%
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y))
Compiler

Compiled 209 to 142 computations (32.1% saved)

simplify79.0ms (1.5%)

Memory
-1.4MiB live, 110.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 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-diff0
(/.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
(neg.f64 y)
cost-diff0
(*.f64 x (neg.f64 y))
cost-diff0
(*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
cost-diff7808
(fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.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
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) x)
cost-diff0
(*.f64 (*.f64 (neg.f64 x) x) y)
cost-diff0
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) x)
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) x) y))
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035218
059212
1134189
2275189
31136189
44834189
57282189
08229189
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) x) y))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 x y) x) y)
(*.f64 (*.f64 x y) x)
(*.f64 x y)
x
y
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
(fma.f64 y x #s(literal 1 binary64))
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(*.f64 (neg.f64 x) x)
(neg.f64 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 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
x
(fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
(*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y))
(*.f64 x (neg.f64 y))
(neg.f64 y)
y
(*.f64 x y)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
#s(literal 1 binary64)
(*.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)))
#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 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) x) y)) (/.f64 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 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) x) y))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 x y) x) y)
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 (*.f64 x y) x)
(*.f64 (*.f64 y x) x)
(*.f64 x y)
(*.f64 y x)
x
y
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
(fma.f64 y x #s(literal 1 binary64))
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(*.f64 (neg.f64 x) x)
(neg.f64 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 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
(-.f64 x (*.f64 (*.f64 y x) x))
x
(fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y))
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(*.f64 x (neg.f64 y))
(*.f64 (neg.f64 x) y)
(neg.f64 y)
y
(*.f64 x y)
(*.f64 y x)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
#s(literal 1 binary64)
(*.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 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) (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))

localize117.0ms (2.3%)

Memory
12.0MiB live, 173.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y x)
accuracy0.234375
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
accuracy0.27645814304447325
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)
accuracy11.566602052994496
(/.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)))
accuracy0.09765625
(*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
accuracy0.234375
(*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y))
accuracy0.9087909445625821
(/.f64 #s(literal 1 binary64) (*.f64 y x))
accuracy22.911397118196525
(fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
accuracy0.0
(*.f64 (neg.f64 x) y)
accuracy0.0
(neg.f64 x)
accuracy0.09765625
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
accuracy34.484896769798475
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))
accuracy0.0
(*.f64 (neg.f64 x) x)
accuracy0.0
(neg.f64 x)
accuracy8.509338794756209
(*.f64 (*.f64 (neg.f64 x) x) y)
accuracy33.68037867092607
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y))
accuracy0.15234375
(*.f64 (*.f64 x y) x)
accuracy3.578397001206331
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
accuracy4.479954458154469
(*.f64 (*.f64 (*.f64 x y) x) y)
accuracy7.6543431509075015
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
Samples
80.0ms256×0valid
Compiler

Compiled 428 to 70 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 30.0ms (54.4% of total)
ival-sub: 11.0ms (19.9% of total)
ival-div: 5.0ms (9.1% of total)
ival-add: 4.0ms (7.3% of total)
ival-pow2: 3.0ms (5.4% of total)
ival-neg: 2.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series21.0ms (0.4%)

Memory
-7.9MiB live, 36.4MiB allocated
Counts
24 → 49
Calls
Call 1
Inputs
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) x) y))
(*.f64 (*.f64 x y) x)
(*.f64 x y)
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(*.f64 (neg.f64 x) x)
(neg.f64 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)
(fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
(*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (neg.f64 y))
(neg.f64 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)))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 x y) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y))
(*.f64 y x)
Outputs
x
(* x (+ 1 (* -1 (* x y))))
1
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* (pow x 2) y)
(* x y)
(* -1 (* (pow x 2) y))
(* -1 (pow x 2))
(* -1 x)
(+ 1 (* -1 (* x y)))
(* -1 (* x y))
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(* (pow x 2) (pow y 2))
(* x (+ 1 (* x (- (* x (pow y 2)) y))))
(* x (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y))))
(/ 1 (* x y))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* x (- (/ 1 x) y))
(* x (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 3) (pow y 2)))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(/ 1 y)
(- (/ 1 y) (/ 1 (* x (pow y 2))))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2))))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4)))))
(* -1 (* x (- y (/ 1 x))))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y))
(+ x (* -1 (* (pow x 2) y)))
(* -1 y)
(+ x (* -1 (* (pow x 3) (pow y 2))))
(+ x (* y (- (* (pow x 3) y) (pow x 2))))
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2))))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* y (- (/ 1 y) x))
(* y (+ (* -1 x) (/ 1 y)))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(/ (- 1 (/ 1 (* x y))) y)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) y)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (- x (/ 1 y))))
(* -1 (/ (- (/ 1 (* x y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) y))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
x
@inf
((* (- 1 (* (* (* x y) x) y)) (/ x (+ (* y x) 1))) (- 1 (* (* (* x y) x) y)) (* (* x y) x) (* x y) (+ (* (* (neg y) x) x) x) (* (* (neg x) x) y) (* (neg x) x) (neg x) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (+ (* (* (* x (neg y)) (* x y)) (/ 1 (* y x))) 1) (* x (+ (* (* (* x (neg y)) (* x y)) (/ 1 (* y x))) 1)) (* x (neg y)) (neg y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (/ x (+ (* y x) 1)) (* (* (* x y) x) y) (/ 1 (* y x)) (* (* x (neg y)) (* x y)) (* y x))
5.0ms
x
@-inf
((* (- 1 (* (* (* x y) x) y)) (/ x (+ (* y x) 1))) (- 1 (* (* (* x y) x) y)) (* (* x y) x) (* x y) (+ (* (* (neg y) x) x) x) (* (* (neg x) x) y) (* (neg x) x) (neg x) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (+ (* (* (* x (neg y)) (* x y)) (/ 1 (* y x))) 1) (* x (+ (* (* (* x (neg y)) (* x y)) (/ 1 (* y x))) 1)) (* x (neg y)) (neg y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (/ x (+ (* y x) 1)) (* (* (* x y) x) y) (/ 1 (* y x)) (* (* x (neg y)) (* x y)) (* y x))
2.0ms
y
@-inf
((* (- 1 (* (* (* x y) x) y)) (/ x (+ (* y x) 1))) (- 1 (* (* (* x y) x) y)) (* (* x y) x) (* x y) (+ (* (* (neg y) x) x) x) (* (* (neg x) x) y) (* (neg x) x) (neg x) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (+ (* (* (* x (neg y)) (* x y)) (/ 1 (* y x))) 1) (* x (+ (* (* (* x (neg y)) (* x y)) (/ 1 (* y x))) 1)) (* x (neg y)) (neg y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (/ x (+ (* y x) 1)) (* (* (* x y) x) y) (/ 1 (* y x)) (* (* x (neg y)) (* x y)) (* y x))
2.0ms
x
@0
((* (- 1 (* (* (* x y) x) y)) (/ x (+ (* y x) 1))) (- 1 (* (* (* x y) x) y)) (* (* x y) x) (* x y) (+ (* (* (neg y) x) x) x) (* (* (neg x) x) y) (* (neg x) x) (neg x) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (+ (* (* (* x (neg y)) (* x y)) (/ 1 (* y x))) 1) (* x (+ (* (* (* x (neg y)) (* x y)) (/ 1 (* y x))) 1)) (* x (neg y)) (neg y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (/ x (+ (* y x) 1)) (* (* (* x y) x) y) (/ 1 (* y x)) (* (* x (neg y)) (* x y)) (* y x))
2.0ms
y
@inf
((* (- 1 (* (* (* x y) x) y)) (/ x (+ (* y x) 1))) (- 1 (* (* (* x y) x) y)) (* (* x y) x) (* x y) (+ (* (* (neg y) x) x) x) (* (* (neg x) x) y) (* (neg x) x) (neg x) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (+ (* (* (* x (neg y)) (* x y)) (/ 1 (* y x))) 1) (* x (+ (* (* (* x (neg y)) (* x y)) (/ 1 (* y x))) 1)) (* x (neg y)) (neg y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (/ x (+ (* y x) 1)) (* (* (* x y) x) y) (/ 1 (* y x)) (* (* x (neg y)) (* x y)) (* y x))

simplify154.0ms (3%)

Memory
17.8MiB live, 202.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0151533
1457481
21108476
33748464
08259457
Stop Event
iter limit
node limit
Counts
49 → 48
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1 (* x y))))
1
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* (pow x 2) y)
(* x y)
(* -1 (* (pow x 2) y))
(* -1 (pow x 2))
(* -1 x)
(+ 1 (* -1 (* x y)))
(* -1 (* x y))
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(* (pow x 2) (pow y 2))
(* x (+ 1 (* x (- (* x (pow y 2)) y))))
(* x (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y))))
(/ 1 (* x y))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* x (- (/ 1 x) y))
(* x (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 3) (pow y 2)))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(/ 1 y)
(- (/ 1 y) (/ 1 (* x (pow y 2))))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2))))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4)))))
(* -1 (* x (- y (/ 1 x))))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y))
(+ x (* -1 (* (pow x 2) y)))
(* -1 y)
(+ x (* -1 (* (pow x 3) (pow y 2))))
(+ x (* y (- (* (pow x 3) y) (pow x 2))))
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2))))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* y (- (/ 1 y) x))
(* y (+ (* -1 x) (/ 1 y)))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(/ (- 1 (/ 1 (* x y))) y)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) y)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (- x (/ 1 y))))
(* -1 (/ (- (/ 1 (* x y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 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 (* (pow x 2) (pow y 2))))
(fma.f64 (*.f64 (*.f64 y y) x) (neg.f64 x) #s(literal 1 binary64))
(* (pow x 2) y)
(*.f64 (*.f64 x x) y)
(* x y)
(*.f64 y x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 x)
(neg.f64 x)
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(fma.f64 (neg.f64 y) (*.f64 (pow.f64 x #s(literal 3 binary64)) y) x)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 (*.f64 y y) x) x)
(* x (+ 1 (* x (- (* x (pow y 2)) y))))
(*.f64 (fma.f64 (*.f64 y (fma.f64 y x #s(literal -1 binary64))) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y))))
(*.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y x #s(literal -1 binary64))) x y)) x #s(literal 1 binary64)) x)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(fma.f64 (*.f64 (*.f64 y y) x) (neg.f64 x) #s(literal 1 binary64))
(* 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))
(* -1 (* (pow x 3) (pow y 2)))
(*.f64 (neg.f64 y) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(fma.f64 (neg.f64 y) (*.f64 (pow.f64 x #s(literal 3 binary64)) y) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(- (/ 1 y) (/ 1 (* x (pow y 2))))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) #s(literal -1 binary64)) y)
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2))))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y) (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1 binary64)) y)
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4)))))
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) y))
(* -1 (* x (- y (/ 1 x))))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(fma.f64 (neg.f64 y) (*.f64 (pow.f64 x #s(literal 3 binary64)) y) x)
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y) (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1 binary64)) y)
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y))
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)) x))
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* -1 y)
(neg.f64 y)
(+ x (* -1 (* (pow x 3) (pow y 2))))
(fma.f64 (neg.f64 y) (*.f64 (pow.f64 x #s(literal 3 binary64)) y) x)
(+ x (* y (- (* (pow x 3) y) (pow x 2))))
(*.f64 (fma.f64 (*.f64 y (fma.f64 y x #s(literal -1 binary64))) x #s(literal 1 binary64)) x)
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2))))
(fma.f64 (neg.f64 y) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) y (neg.f64 (pow.f64 x #s(literal 3 binary64)))) y (*.f64 x x)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(fma.f64 (*.f64 (*.f64 y y) x) (neg.f64 x) #s(literal 1 binary64))
(* y (- (/ 1 y) x))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* y (+ (* -1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(fma.f64 (neg.f64 y) (*.f64 (pow.f64 x #s(literal 3 binary64)) y) x)
(/ (- 1 (/ 1 (* x y))) y)
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) #s(literal -1 binary64)) y)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y) (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1 binary64)) y)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) y)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y) (/.f64 #s(literal 1 binary64) x)) y) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal 1 binary64))) y)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* -1 (* y (- x (/ 1 y))))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (/ (- (/ 1 (* x y)) 1) y))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) #s(literal -1 binary64)) y)
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y) (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1 binary64)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) y)) y) #s(literal -1 binary64)) y)

rewrite168.0ms (3.3%)

Memory
-33.8MiB live, 105.5MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035188
059178
1231145
01322145
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
24 → 642
Calls
Call 1
Inputs
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) x) y))
(*.f64 (*.f64 x y) x)
(*.f64 x y)
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(*.f64 (neg.f64 x) x)
(neg.f64 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)
(fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
(*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (neg.f64 y))
(neg.f64 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)))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 x y) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y))
(*.f64 y x)
Outputs
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #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 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 y x)))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) (neg.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) x (neg.f64 x))))
(*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) (neg.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (*.f64 x x) (neg.f64 y))) (pow.f64 (*.f64 (*.f64 x x) (neg.f64 y)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.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) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.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 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(*.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 x (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (neg.f64 y) x #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (neg.f64 y) x #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (fma.f64 y x #s(literal 1 binary64)) x))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 y) x #s(literal -1 binary64)))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) x)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) 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 (fma.f64 y x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x x) (neg.f64 y)) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 x x) (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (neg.f64 x))) (neg.f64 (fma.f64 (neg.f64 y) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) (neg.f64 y)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (*.f64 (neg.f64 y) x) x (neg.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) (neg.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 x x) (neg.f64 y))) (pow.f64 (*.f64 (*.f64 x x) (neg.f64 y)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (neg.f64 x)) (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) x #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) x) (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #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 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 y x #s(literal 1 binary64)) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (neg.f64 x)) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 (neg.f64 y) x #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) x) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (fma.f64 y x #s(literal 1 binary64)) x)))
(/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) (*.f64 (fma.f64 (neg.f64 y) x #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (*.f64 (fma.f64 (neg.f64 y) x #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) (*.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) x) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 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 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) (neg.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (*.f64 (neg.f64 y) x) x (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x x) (neg.f64 y)) #s(literal 2 binary64)) (*.f64 (neg.f64 y) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (*.f64 x x) (neg.f64 y))) (pow.f64 (*.f64 (*.f64 x x) (neg.f64 y)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (neg.f64 x)) (fma.f64 (neg.f64 y) x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.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) (fma.f64 y x #s(literal 1 binary64)))
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eval95.0ms (1.9%)

Memory
5.6MiB live, 77.8MiB allocated
Compiler

Compiled 7 811 to 1 292 computations (83.5% saved)

prune15.0ms (0.3%)

Memory
6.9MiB live, 43.8MiB allocated
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New4153418
Fresh101
Picked145
Done033
Total41710427
Accuracy
100.0%
Counts
427 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 (neg.f64 y) x) x x)
89.9%
(fma.f64 (*.f64 x (neg.f64 x)) y x)
80.5%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) (fma.f64 y x #s(literal 1 binary64)))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)))
81.9%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
40.4%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) x) y)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
67.8%
(*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
47.3%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
54.9%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
42.6%
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y))
Compiler

Compiled 131 to 89 computations (32.1% saved)

simplify191.0ms (3.7%)

Memory
12.6MiB live, 130.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 (*.f64 y x) (*.f64 y x))
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x)))
cost-diff7552
(/.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 y)
cost-diff0
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
cost-diff1664
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)))
cost-diff0
(*.f64 (*.f64 x y) x)
cost-diff0
(*.f64 (*.f64 (*.f64 x y) x) y)
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) x) y))
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) x) y)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024150
042137
182137
2177137
3377137
41046135
51873135
63610135
74599135
86409135
97352135
08062134
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) x) y)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) x) y))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 x y) x) y)
(*.f64 (*.f64 x y) x)
(*.f64 x y)
x
y
#s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(neg.f64 y)
y
x
(/.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 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) x) y)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) x) x #s(literal -1 binary64))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) x) y))
(neg.f64 (fma.f64 (*.f64 (*.f64 y y) x) x #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 x y) x) y)
(*.f64 (*.f64 (*.f64 y y) x) x)
(*.f64 (*.f64 x y) x)
(*.f64 (*.f64 x x) y)
(*.f64 x y)
(*.f64 y x)
x
y
#s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 y x #s(literal -1 binary64)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(neg.f64 y)
y
x
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) 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) (*.f64 (*.f64 y x) (*.f64 y x))) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 y) y) x)
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x)))
(neg.f64 (fma.f64 (*.f64 (*.f64 y y) x) x #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 (*.f64 y x) (*.f64 y x))
(*.f64 (*.f64 (*.f64 y y) x) x)
(*.f64 y x)
y
x
(fma.f64 y x #s(literal 1 binary64))

localize82.0ms (1.6%)

Memory
-4.0MiB live, 148.8MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y x)
accuracy0.234375
(*.f64 (*.f64 y x) (*.f64 y x))
accuracy0.27645814304447325
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x)
accuracy11.566602052994496
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) (fma.f64 y x #s(literal 1 binary64)))
accuracy0.0
(neg.f64 y)
accuracy0.09765625
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
accuracy0.12109375
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)))
accuracy0.6351403426819502
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x))
accuracy0.15234375
(*.f64 (*.f64 x y) x)
accuracy3.578397001206331
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) x) y)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
accuracy4.479954458154469
(*.f64 (*.f64 (*.f64 x y) x) y)
accuracy34.6317678205714
#s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))
Samples
57.0ms256×0valid
Compiler

Compiled 304 to 49 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 28.0ms (65.7% of total)
ival-div: 8.0ms (18.8% of total)
ival-sub: 2.0ms (4.7% of total)
ival-add: 2.0ms (4.7% of total)
ival-neg: 1.0ms (2.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.3%)

Memory
-3.5MiB live, 34.1MiB allocated
Counts
15 → 61
Calls
Call 1
Inputs
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) x) y)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) x) y))
(*.f64 (*.f64 (*.f64 x y) x) y)
(*.f64 (*.f64 x y) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(neg.f64 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 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x)))
(*.f64 (*.f64 y x) (*.f64 y x))
(*.f64 y x)
#s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x)
Outputs
x
(* x (+ 1 (* -1 (* x y))))
1
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* (pow x 2) (pow y 2))
(* (pow x 2) y)
(+ 1 (* -1 (* x y)))
(* x y)
(* x (+ 1 (* x (- (* x (pow y 2)) y))))
(* x (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y))))
(/ 1 x)
(/ (+ 1 (* x y)) x)
(/ (+ 1 (* x (- (* x (pow y 2)) (* -1 y)))) x)
(/ (+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y)))) x)
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* -1 (* x y))
(* x (+ (* -1 y) (/ 1 x)))
(/ 1 y)
(- (/ 1 y) (/ 1 (* x (pow y 2))))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2))))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4)))))
(/ -1 (* (pow x 2) y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) (pow x 2))
(* -1 (* (pow x 3) (pow y 2)))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* -1 (* x (- y (/ 1 x))))
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (+ (/ 1 (* (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) x)) (/ 1 y)) (pow x 2))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(+ x (* -1 (* (pow x 2) y)))
(* -1 y)
(+ x (* y (- (* (pow x 3) y) (pow x 2))))
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2))))
(+ y (/ 1 x))
(+ (* y (+ 1 (* x y))) (/ 1 x))
(+ (* y (+ 1 (* y (- (* (pow x 2) y) (* -1 x))))) (/ 1 x))
(+ x (* -1 (* (pow x 3) (pow y 2))))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* y (+ (* -1 x) (/ 1 y)))
(/ (- 1 (/ 1 (* x y))) y)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) y)
(* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y))
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) (pow y 2))) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))) y)
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (- x (/ 1 y))))
(* -1 (/ (- (/ 1 (* x y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) y))
(* -1 (/ (+ (/ 1 (* (pow x 3) y)) (+ (/ 1 (* (pow x 4) (pow y 2))) (/ 1 (pow x 2)))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
y
@inf
((* (- 1 (* (* (* x y) x) y)) (/ x (+ (* y x) 1))) (- 1 (* (* (* x y) x) y)) (* (* (* x y) x) y) (* (* x y) x) (/ 1 (/ 1 (* (+ (* (neg y) x) 1) x))) (* (+ (* (neg y) x) 1) x) (+ (* (neg y) x) 1) (neg y) (/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (- 1 (* (* y x) (* y x))) (* (* y x) (* y x)) (* y x) (/ x (+ (* y x) 1)) (/ 1 (* (+ (* (neg y) x) 1) x)) (* (- 1 (* (* y x) (* y x))) x))
2.0ms
x
@-inf
((* (- 1 (* (* (* x y) x) y)) (/ x (+ (* y x) 1))) (- 1 (* (* (* x y) x) y)) (* (* (* x y) x) y) (* (* x y) x) (/ 1 (/ 1 (* (+ (* (neg y) x) 1) x))) (* (+ (* (neg y) x) 1) x) (+ (* (neg y) x) 1) (neg y) (/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (- 1 (* (* y x) (* y x))) (* (* y x) (* y x)) (* y x) (/ x (+ (* y x) 1)) (/ 1 (* (+ (* (neg y) x) 1) x)) (* (- 1 (* (* y x) (* y x))) x))
2.0ms
y
@-inf
((* (- 1 (* (* (* x y) x) y)) (/ x (+ (* y x) 1))) (- 1 (* (* (* x y) x) y)) (* (* (* x y) x) y) (* (* x y) x) (/ 1 (/ 1 (* (+ (* (neg y) x) 1) x))) (* (+ (* (neg y) x) 1) x) (+ (* (neg y) x) 1) (neg y) (/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (- 1 (* (* y x) (* y x))) (* (* y x) (* y x)) (* y x) (/ x (+ (* y x) 1)) (/ 1 (* (+ (* (neg y) x) 1) x)) (* (- 1 (* (* y x) (* y x))) x))
2.0ms
x
@inf
((* (- 1 (* (* (* x y) x) y)) (/ x (+ (* y x) 1))) (- 1 (* (* (* x y) x) y)) (* (* (* x y) x) y) (* (* x y) x) (/ 1 (/ 1 (* (+ (* (neg y) x) 1) x))) (* (+ (* (neg y) x) 1) x) (+ (* (neg y) x) 1) (neg y) (/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (- 1 (* (* y x) (* y x))) (* (* y x) (* y x)) (* y x) (/ x (+ (* y x) 1)) (/ 1 (* (+ (* (neg y) x) 1) x)) (* (- 1 (* (* y x) (* y x))) x))
2.0ms
x
@0
((* (- 1 (* (* (* x y) x) y)) (/ x (+ (* y x) 1))) (- 1 (* (* (* x y) x) y)) (* (* (* x y) x) y) (* (* x y) x) (/ 1 (/ 1 (* (+ (* (neg y) x) 1) x))) (* (+ (* (neg y) x) 1) x) (+ (* (neg y) x) 1) (neg y) (/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (- 1 (* (* y x) (* y x))) (* (* y x) (* y x)) (* y x) (/ x (+ (* y x) 1)) (/ 1 (* (+ (* (neg y) x) 1) x)) (* (- 1 (* (* y x) (* y x))) x))

simplify132.0ms (2.6%)

Memory
-12.9MiB live, 202.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0223838
1652779
21620757
36009756
08167738
Stop Event
iter limit
node limit
Counts
61 → 60
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1 (* x y))))
1
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* (pow x 2) (pow y 2))
(* (pow x 2) y)
(+ 1 (* -1 (* x y)))
(* x y)
(* x (+ 1 (* x (- (* x (pow y 2)) y))))
(* x (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y))))
(/ 1 x)
(/ (+ 1 (* x y)) x)
(/ (+ 1 (* x (- (* x (pow y 2)) (* -1 y)))) x)
(/ (+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y)))) x)
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* -1 (* x y))
(* x (+ (* -1 y) (/ 1 x)))
(/ 1 y)
(- (/ 1 y) (/ 1 (* x (pow y 2))))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2))))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4)))))
(/ -1 (* (pow x 2) y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) (pow x 2))
(* -1 (* (pow x 3) (pow y 2)))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* -1 (* x (- y (/ 1 x))))
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (+ (/ 1 (* (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) x)) (/ 1 y)) (pow x 2))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(+ x (* -1 (* (pow x 2) y)))
(* -1 y)
(+ x (* y (- (* (pow x 3) y) (pow x 2))))
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2))))
(+ y (/ 1 x))
(+ (* y (+ 1 (* x y))) (/ 1 x))
(+ (* y (+ 1 (* y (- (* (pow x 2) y) (* -1 x))))) (/ 1 x))
(+ x (* -1 (* (pow x 3) (pow y 2))))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* y (+ (* -1 x) (/ 1 y)))
(/ (- 1 (/ 1 (* x y))) y)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) y)
(* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y))
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) (pow y 2))) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))) y)
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (- x (/ 1 y))))
(* -1 (/ (- (/ 1 (* x y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) y))
(* -1 (/ (+ (/ 1 (* (pow x 3) y)) (+ (/ 1 (* (pow x 4) (pow y 2))) (/ 1 (pow x 2)))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) 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 (* (pow x 2) (pow y 2))))
(fma.f64 (neg.f64 y) (*.f64 (*.f64 x x) y) #s(literal 1 binary64))
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 (*.f64 y y) x) x)
(* (pow x 2) y)
(*.f64 (*.f64 x x) y)
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(* x (+ 1 (* x (- (* x (pow y 2)) y))))
(*.f64 (fma.f64 (*.f64 y (fma.f64 y x #s(literal -1 binary64))) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y))))
(*.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y x #s(literal -1 binary64))) x y)) x #s(literal 1 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* x y)) x)
(/.f64 (fma.f64 y x #s(literal 1 binary64)) x)
(/ (+ 1 (* x (- (* x (pow y 2)) (* -1 y)))) x)
(/.f64 (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64)) x)
(/ (+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y)))) x)
(/.f64 (fma.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 y x #s(literal 1 binary64)) y)) x y) x #s(literal 1 binary64)) x)
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(fma.f64 (neg.f64 y) (*.f64 (*.f64 x x) y) #s(literal 1 binary64))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (+ (* -1 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(- (/ 1 y) (/ 1 (* x (pow y 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y)
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2))))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) x)) y) #s(literal -1 binary64)) y)
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4)))))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) x)) y)) y))
(/ -1 (* (pow x 2) y))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) x)
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))) x) x)
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) (pow x 2))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))) x)) x)
(* -1 (* (pow x 3) (pow y 2)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x)
(* -1 (* x (- y (/ 1 x))))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) x)) y) #s(literal -1 binary64)) y)
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y))
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)) x))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (+ (/ 1 (* (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) x)) (/ 1 y)) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) x) (/.f64 (/.f64 #s(literal -1 binary64) y) y)) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) x)) (*.f64 x x))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* -1 y)
(neg.f64 y)
(+ x (* y (- (* (pow x 3) y) (pow x 2))))
(*.f64 (fma.f64 (*.f64 y (fma.f64 y x #s(literal -1 binary64))) x #s(literal 1 binary64)) x)
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2))))
(fma.f64 (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 y) (pow.f64 x #s(literal 3 binary64))) y)) y x)
(+ y (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) y)
(+ (* y (+ 1 (* x y))) (/ 1 x))
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (+ 1 (* y (- (* (pow x 2) y) (* -1 x))))) (/ 1 x))
(fma.f64 (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64)) y (/.f64 #s(literal 1 binary64) x))
(+ x (* -1 (* (pow x 3) (pow y 2))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(fma.f64 (neg.f64 y) (*.f64 (*.f64 x x) y) #s(literal 1 binary64))
(* y (+ (* -1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(/ (- 1 (/ 1 (* x y))) y)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) x)) y) #s(literal -1 binary64)) y)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) y)
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) x)) y))) y)
(* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) (pow y 2))) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))) y)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) y))) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y)
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* -1 (* y (- x (/ 1 y))))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (/ (- (/ 1 (* x y)) 1) y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y)
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) x)) y) #s(literal -1 binary64)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y)) y) #s(literal -1 binary64)) y)
(* -1 (/ (+ (/ 1 (* (pow x 3) y)) (+ (/ 1 (* (pow x 4) (pow y 2))) (/ 1 (pow x 2)))) y))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) y) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) y)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) y))) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y)

rewrite245.0ms (4.8%)

Memory
37.8MiB live, 291.8MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024131
042106
1159106
290197
0962397
Stop Event
iter limit
node limit
iter limit
Counts
15 → 2 190
Calls
Call 1
Inputs
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) x) y)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) x) y))
(*.f64 (*.f64 (*.f64 x y) x) y)
(*.f64 (*.f64 x y) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(neg.f64 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 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x)))
(*.f64 (*.f64 y x) (*.f64 y x))
(*.f64 y x)
#s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x)
Outputs
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) #s(approx (/ x (+ (* y x) 1)) (pow.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (-.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) #s(approx (/ x (+ (* y x) 1)) (pow.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) #s(approx (/ x (+ (* y x) 1)) (pow.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 y x) #s(literal 8 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))) (-.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) #s(approx (/ x (+ (* y x) 1)) (pow.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)))) (-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 8 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 #s(approx (/ x (+ (* y x) 1)) (pow.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (-.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (/ x (+ (* y x) 1)) (pow.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 #s(approx (/ x (+ (* y x) 1)) (pow.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 y x) #s(literal 8 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))) (-.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (/ x (+ (* y x) 1)) (pow.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)))) (-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 8 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) #s(approx (/ x (+ (* y x) 1)) (pow.f64 y #s(literal -1 binary64)))) (pow.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) #s(approx (/ x (+ (* y x) 1)) (pow.f64 y #s(literal -1 binary64)))) (pow.f64 (-.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(approx (/ x (+ (* y x) 1)) (pow.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) (pow.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(approx (/ x (+ (* y x) 1)) (pow.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (pow.f64 (-.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (*.f64 (pow.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(approx (/ x (+ (* y x) 1)) (pow.f64 y #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) #s(literal -1 binary64)) #s(approx (/ x (+ (* y x) 1)) (pow.f64 y #s(literal -1 binary64)))))
(*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (/ x (+ (* y x) 1)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 #s(approx (/ x (+ (* y x) 1)) (pow.f64 y #s(literal -1 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) #s(approx (/ x (+ (* y x) 1)) (pow.f64 y #s(literal -1 binary64)))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) #s(approx (/ x (+ (* y x) 1)) (pow.f64 y #s(literal -1 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))))
(/.f64 (*.f64 #s(approx (/ x (+ (* y x) 1)) (pow.f64 y #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
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(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) x) #s(literal 1 binary64)) (-.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) x) (neg.f64 (-.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (-.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) x) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (neg.f64 x)) (neg.f64 (-.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) x) (-.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(/.f64 x (pow.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) x)))
(neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) x))
(fma.f64 (*.f64 x (*.f64 (*.f64 (neg.f64 y) x) x)) y x)
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) y)) (neg.f64 y) x)
(fma.f64 (*.f64 x #s(literal -1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x)
(fma.f64 (*.f64 (*.f64 y y) x) (*.f64 (neg.f64 x) x) x)
(fma.f64 (*.f64 (*.f64 (neg.f64 y) x) x) (*.f64 y x) x)
(fma.f64 (*.f64 (*.f64 (neg.f64 y) y) x) (*.f64 x x) x)
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) y) x) x)
(fma.f64 (*.f64 y y) (*.f64 (*.f64 (neg.f64 x) x) x) x)
(fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x x)
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 (neg.f64 y) x) (*.f64 (*.f64 x x) y) x)
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (neg.f64 x) x)
(fma.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 y) x) x) x)
(fma.f64 (neg.f64 y) (*.f64 (*.f64 (*.f64 x x) y) x) x)
(fma.f64 (*.f64 (*.f64 x x) y) (*.f64 (neg.f64 y) x) x)
(fma.f64 y (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) x) x)
(fma.f64 x (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) x))
(+.f64 (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64))) x)
(+.f64 x (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64))))

eval345.0ms (6.7%)

Memory
-127.5MiB live, 373.9MiB allocated
Compiler

Compiled 30 487 to 3 402 computations (88.8% saved)

prune87.0ms (1.7%)

Memory
-25.9MiB live, 88.0MiB allocated
Pruning

13 alts after pruning (5 fresh and 8 done)

PrunedKeptTotal
New1 19551 200
Fresh000
Picked123
Done167
Total1 197131 210
Accuracy
100.0%
Counts
1 210 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 (neg.f64 y) x) x x)
89.9%
(fma.f64 (*.f64 x (neg.f64 x)) y x)
80.5%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) (fma.f64 y x #s(literal 1 binary64)))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 y x #s(literal -1 binary64))))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x)))
47.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* (neg y) x) 1) x)) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) x)))
33.4%
(*.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x #s(literal 1 binary64)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
40.4%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) x) y)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
33.6%
(*.f64 #s(approx (- 1 (* (* (* x y) x) y)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
67.8%
(*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
47.3%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
54.9%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
42.6%
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y))
Compiler

Compiled 541 to 248 computations (54.2% saved)

regimes43.0ms (0.8%)

Memory
-2.4MiB live, 43.2MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.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)))
(fma.f64 (*.f64 x (neg.f64 x)) y x)
(fma.f64 (*.f64 (neg.f64 y) x) x x)
(*.f64 #s(approx (- 1 (* (* (* x y) x) y)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) x) y)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x #s(literal 1 binary64)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 y x #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) x) y)) (/.f64 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 (-.f64 #s(literal 0 binary64) (*.f64 (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 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* (neg y) x) 1) x)) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) 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 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 x (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) y x)
(*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/2 binary64)))))
Outputs
(fma.f64 (*.f64 (neg.f64 y) x) x x)
Calls

3 calls:

28.0ms
x
7.0ms
y
7.0ms
(*.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
21.4MiB live, 21.3MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.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)))
(fma.f64 (*.f64 x (neg.f64 x)) y x)
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Calls

3 calls:

2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes8.0ms (0.1%)

Memory
-21.3MiB live, 16.2MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.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:

4.0ms
x
2.0ms
y
2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Results
AccuracySegmentsBranch
76.0%3x
77.5%3y
84.7%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y))
Outputs
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y))
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y))
Calls

1 calls:

1.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Results
AccuracySegmentsBranch
83.0%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes4.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
y
1.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
1.0ms
x
Results
AccuracySegmentsBranch
54.9%1x
54.9%1y
54.9%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.7267762894536644e+210
1.2578324222487585e+211
0.0ms
-1.6670533090832565e+69
-8.224891397999305e+64
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
2.7267762894536644e+210
1.2578324222487585e+211
0.0ms
-1.6670533090832565e+69
-8.224891397999305e+64
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify117.0ms (2.3%)

Memory
14.0MiB live, 88.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032110
170109
2105109
3170109
4221109
5379109
62403109
75707109
87439109
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (neg.f64 y) x) 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 -1000000000000000072531436381529235126158374409646521955518210155479040 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 4999999999999999781567011860633274869510832148883735763877939194389890997052321968269595648008581590581213591374948984600529514160178016465373141076586308175855879878270463140422804760778819328465997634859958272 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 -1000000000000000072531436381529235126158374409646521955518210155479040 binary64)) #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 4999999999999999781567011860633274869510832148883735763877939194389890997052321968269595648008581590581213591374948984600529514160178016465373141076586308175855879878270463140422804760778819328465997634859958272 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y))))
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
Outputs
(fma.f64 (*.f64 (neg.f64 y) x) 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 -1000000000000000072531436381529235126158374409646521955518210155479040 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 4999999999999999781567011860633274869510832148883735763877939194389890997052321968269595648008581590581213591374948984600529514160178016465373141076586308175855879878270463140422804760778819328465997634859958272 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 (or (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -1000000000000000072531436381529235126158374409646521955518210155479040 binary64)) (not (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 4999999999999999781567011860633274869510832148883735763877939194389890997052321968269595648008581590581213591374948984600529514160178016465373141076586308175855879878270463140422804760778819328465997634859958272 binary64)))) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -1000000000000000072531436381529235126158374409646521955518210155479040 binary64)) #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 4999999999999999781567011860633274869510832148883735763877939194389890997052321968269595648008581590581213591374948984600529514160178016465373141076586308175855879878270463140422804760778819328465997634859958272 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y))))
(if (or (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -1000000000000000072531436381529235126158374409646521955518210155479040 binary64)) (not (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 4999999999999999781567011860633274869510832148883735763877939194389890997052321968269595648008581590581213591374948984600529514160178016465373141076586308175855879878270463140422804760778819328465997634859958272 binary64)))) #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))))
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))

soundness540.0ms (10.5%)

Memory
-19.0MiB live, 295.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03485
110875
219875
352475
4246475
5596775
0819475
0615
0915
13115
219415
3150815
0961313
0139462
1413425
2983420
33280406
08231399
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 159 to 73 computations (54.1% saved)

preprocess82.0ms (1.6%)

Memory
14.5MiB live, 103.2MiB allocated
Compiler

Compiled 234 to 78 computations (66.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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