Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E

Time bar (total: 4.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze9.0ms (0.2%)

Memory
10.6MiB live, 10.6MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
66.7%50%25%0.1%0%25%0%4
66.7%50%25%0.1%0%25%0%5
80%50%12.5%0.1%0%37.5%0%6
80%50%12.5%0.1%0%37.5%0%7
88.9%50%6.2%0.1%0%43.7%0%8
88.9%50%6.2%0.1%0%43.7%0%9
94.1%50%3.1%0.1%0%46.8%0%10
94.1%50%3.1%0.1%0%46.8%0%11
97%50%1.6%0.1%0%48.4%0%12
Compiler

Compiled 10 to 9 computations (10% saved)

sample757.0ms (15.4%)

Memory
16.4MiB live, 805.2MiB allocated
Samples
481.0ms8 251×0valid
11.0ms232×0invalid
0.0ms4×1valid
0.0ms1×2valid
Precisions
Click to see histograms. Total time spent on operations: 283.0ms
ival-sqrt: 113.0ms (40% of total)
ival-mult: 61.0ms (21.6% of total)
ival-sub: 51.0ms (18% of total)
ival-add: 42.0ms (14.9% of total)
ival-true: 7.0ms (2.5% of total)
exact: 5.0ms (1.8% of total)
ival-assert: 4.0ms (1.4% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain143.0ms (2.9%)

Memory
-28.6MiB live, 103.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
00-0-(sqrt.f64 x)
00-0-y
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-(*.f64 y (sqrt.f64 x))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
67.0ms512×0valid
Compiler

Compiled 72 to 32 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-sub: 41.0ms (77% of total)
ival-mult: 5.0ms (9.4% of total)
ival-sqrt: 4.0ms (7.5% of total)
ival-add: 2.0ms (3.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess58.0ms (1.2%)

Memory
28.5MiB live, 62.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01946
16243
218542
356442
4113142
5133642
6141642
7143842
078
0118
1228
2508
31018
42308
54008
64648
75098
85128
05127
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify20.0ms (0.4%)

Memory
-24.3MiB live, 12.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 y (sqrt.f64 x))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff128
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
01120
12220
25020
310120
423020
540020
646420
750920
851220
051219
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
y
(sqrt.f64 x)

localize28.0ms (0.6%)

Memory
-6.0MiB live, 38.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy0
(sqrt.f64 x)
accuracy0.0078125
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
accuracy0.21484375
(*.f64 y (sqrt.f64 x))
Samples
23.0ms256×0valid
Compiler

Compiled 42 to 16 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-sqrt: 11.0ms (68.2% of total)
ival-mult: 2.0ms (12.4% of total)
ival-sub: 1.0ms (6.2% of total)
ival-add: 1.0ms (6.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated
Counts
4 → 19
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) x)
(*.f64 y (sqrt.f64 x))
(sqrt.f64 x)
Outputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
1
(+ 1 (* -1 x))
(* (sqrt x) y)
(sqrt x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)) (sqrt x))
1.0ms
x
@inf
((+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)) (sqrt x))
1.0ms
y
@-inf
((+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)) (sqrt x))
1.0ms
x
@0
((+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)) (sqrt x))
1.0ms
y
@inf
((+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)) (sqrt x))

simplify14.0ms (0.3%)

Memory
19.3MiB live, 19.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052153
0151147
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
Counts
19 → 19
Calls
Call 1
Inputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
1
(+ 1 (* -1 x))
(* (sqrt x) y)
(sqrt x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
Outputs
(+ 1 (* (sqrt x) y))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(sqrt x)
(sqrt.f64 x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(*.f64 (neg.f64 x) (-.f64 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(* -1 (* x (- 1 (/ 1 x))))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) y))

rewrite250.0ms (5.1%)

Memory
-12.0MiB live, 187.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
01117
15017
239717
3587617
0894716
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 390
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) x)
(*.f64 y (sqrt.f64 x))
(sqrt.f64 x)
Outputs
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (pow.f64 (*.f64 y (-.f64 (*.f64 y x) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (+.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y x) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 y (-.f64 (*.f64 y x) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))) (-.f64 (*.f64 y (-.f64 (*.f64 y x) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 x) y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y x) y))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (fma.f64 y (fma.f64 y x (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y x) y)))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y x) y)) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (sqrt.f64 x) y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y x) y)) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(*.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y x) y))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
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(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 y))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(*.f64 (neg.f64 y) (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(fabs.f64 (sqrt.f64 x))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x))))

eval50.0ms (1%)

Memory
17.1MiB live, 89.3MiB allocated
Compiler

Compiled 9 186 to 981 computations (89.3% saved)

prune44.0ms (0.9%)

Memory
-27.9MiB live, 22.6MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New4018409
Fresh000
Picked101
Done000
Total4028410
Accuracy
100.0%
Counts
410 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
▶99.9%
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
▶50.3%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
61.2%
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y x) y)) (*.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y x) y)) #s(literal -1 binary64))))
69.3%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
▶63.5%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
60.9%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
▶86.3%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y))
Compiler

Compiled 294 to 182 computations (38.1% saved)

simplify179.0ms (3.7%)

Memory
18.0MiB live, 174.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
cost-diff0
(pow.f64 x #s(literal 1/4 binary64))
cost-diff12608
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
cost-diff0
(/.f64 (fma.f64 (sqrt.f64 x) y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
cost-diff192
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
cost-diff6336
(-.f64 (*.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y))
cost-diff832
(*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y)
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
029197
049187
193183
2217181
3650178
42266178
08537178
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
x
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y))
(*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y)
(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(sqrt.f64 x)
x
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
y
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
#s(literal 1 binary64)
(/.f64 (fma.f64 (sqrt.f64 x) y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 x) y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(sqrt.f64 x)
x
y
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 (*.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(*.f64 (*.f64 y x) y)
(*.f64 y x)
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) x)
#s(literal 2 binary64)
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 1/4 binary64))
x
#s(literal 1/4 binary64)
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
Outputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
x
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(-.f64 (sqrt.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(sqrt.f64 x)
x
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
y
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 x (fma.f64 y y (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal -1 binary64) x)))
#s(literal 1 binary64)
(/.f64 (fma.f64 (sqrt.f64 x) y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(/.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x (fma.f64 y y (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 x) y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal -1 binary64) x))
(sqrt.f64 x)
x
y
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(-.f64 (*.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 y y (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 y x) y)
(*.f64 y x)
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) x)
#s(literal 2 binary64)
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 1/4 binary64))
x
#s(literal 1/4 binary64)
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

localize148.0ms (3%)

Memory
-4.9MiB live, 145.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(pow.f64 x #s(literal 1/4 binary64))
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy0.10546875
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
accuracy0.28125
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
accuracy0.1328125
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
accuracy0.14453125
(*.f64 (*.f64 y x) y)
accuracy4.83592717915103
(-.f64 (*.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
accuracy23.35639288067483
(/.f64 (fma.f64 (sqrt.f64 x) y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
accuracy0
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y))
accuracy0.00390625
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy0.00390625
(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
accuracy8.79687572225141
(*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y)
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy23.333083657497383
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy0
(sqrt.f64 x)
accuracy0.05859375
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
Samples
127.0ms256×0valid
Compiler

Compiled 390 to 60 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 107.0ms
ival-sqrt: 43.0ms (40.1% of total)
ival-div: 31.0ms (28.9% of total)
ival-mult: 12.0ms (11.2% of total)
ival-pow: 9.0ms (8.4% of total)
ival-add: 6.0ms (5.6% of total)
ival-pow2: 3.0ms (2.8% of total)
ival-sub: 2.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series244.0ms (5%)

Memory
12.0MiB live, 251.3MiB allocated
Counts
16 → 101
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
(-.f64 #s(literal 1 binary64) x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y))
(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(-.f64 (*.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
(/.f64 (fma.f64 (sqrt.f64 x) y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 1/4 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(*.f64 (*.f64 y x) y)
Outputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(sqrt x)
1
(+ 1 (* -1 x))
(* y (+ (sqrt x) (/ 1 y)))
(+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))
(+ (sqrt x) (/ 1 y))
(+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))
-1
(- (* x (+ 2 (pow y 2))) 1)
(- (* x (+ 2 (+ (* -1 x) (pow y 2)))) 1)
(/ -1 (- (* (sqrt x) y) 1))
(- (* x (- (+ (* 2 (/ 1 (- (* (sqrt x) y) 1))) (/ (pow y 2) (- (* (sqrt x) y) 1))) (/ 1 (pow (- (* (sqrt x) y) 1) 2)))) (/ 1 (- (* (sqrt x) y) 1)))
(- (* x (- (+ (* -1 (* x (+ (* -1 (/ (- (+ (* 2 (/ 1 (- (* (sqrt x) y) 1))) (/ (pow y 2) (- (* (sqrt x) y) 1))) (/ 1 (pow (- (* (sqrt x) y) 1) 2))) (- (* (sqrt x) y) 1))) (/ 1 (- (* (sqrt x) y) 1))))) (+ (* 2 (/ 1 (- (* (sqrt x) y) 1))) (/ (pow y 2) (- (* (sqrt x) y) 1)))) (/ 1 (pow (- (* (sqrt x) y) 1) 2)))) (/ 1 (- (* (sqrt x) y) 1)))
(- (* x (- (+ (* 2 (/ 1 (- (* (sqrt x) y) 1))) (+ (* x (- (* -1 (* x (+ (* -1 (/ (- (+ (* 2 (/ 1 (- (* (sqrt x) y) 1))) (/ (pow y 2) (- (* (sqrt x) y) 1))) (/ 1 (pow (- (* (sqrt x) y) 1) 2))) (pow (- (* (sqrt x) y) 1) 2))) (/ 1 (pow (- (* (sqrt x) y) 1) 2))))) (+ (* -1 (/ (- (+ (* 2 (/ 1 (- (* (sqrt x) y) 1))) (/ (pow y 2) (- (* (sqrt x) y) 1))) (/ 1 (pow (- (* (sqrt x) y) 1) 2))) (- (* (sqrt x) y) 1))) (/ 1 (- (* (sqrt x) y) 1))))) (/ (pow y 2) (- (* (sqrt x) y) 1)))) (/ 1 (pow (- (* (sqrt x) y) 1) 2)))) (/ 1 (- (* (sqrt x) y) 1)))
(- (* -1 x) 1)
(* -1 (- (* (sqrt x) y) 1))
(+ (* -1 (- (* (sqrt x) y) 1)) (* x (- 1 (* (+ 2 (pow y 2)) (- (* (sqrt x) y) 1)))))
(+ (* -1 (- (* (sqrt x) y) 1)) (* x (- (+ 1 (* -1 (* x (+ (* -1 (* (+ 2 (pow y 2)) (- 1 (* (+ 2 (pow y 2)) (- (* (sqrt x) y) 1))))) (* -1 (- (* (sqrt x) y) 1)))))) (* (+ 2 (pow y 2)) (- (* (sqrt x) y) 1)))))
(+ (* -1 (- (* (sqrt x) y) 1)) (* x (- (+ 1 (* x (- (* x (- (* (+ 2 (pow y 2)) (- (* (sqrt x) y) 1)) (+ 1 (* (+ 2 (pow y 2)) (+ (* -1 (* (+ 2 (pow y 2)) (- 1 (* (+ 2 (pow y 2)) (- (* (sqrt x) y) 1))))) (* -1 (- (* (sqrt x) y) 1))))))) (+ (* -1 (* (+ 2 (pow y 2)) (- 1 (* (+ 2 (pow y 2)) (- (* (sqrt x) y) 1))))) (* -1 (- (* (sqrt x) y) 1)))))) (* (+ 2 (pow y 2)) (- (* (sqrt x) y) 1)))))
(pow (* 1 x) 1/4)
(* (pow (* 1 x) 1/4) y)
(/ 1 y)
(+ (* -1 (/ x y)) (/ 1 y))
(* x (pow y 2))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))
(* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))
(* x (- (sqrt (/ 1 x)) (/ 1 y)))
(* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))
(* -1 (pow x 2))
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ (pow y 2) x)) 1))
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ (pow y 2) x)) (+ 1 (/ 1 (pow x 2)))))
(* -1 (/ x (- (* (sqrt (/ 1 x)) y) 1)))
(* x (- (+ (/ 2 (* x (- (* (sqrt (/ 1 x)) y) 1))) (/ (pow y 2) (* x (- (* (sqrt (/ 1 x)) y) 1)))) (+ (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) y) 1) 2))) (/ 1 (- (* (sqrt (/ 1 x)) y) 1)))))
(* x (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 2 (/ 1 (- (* (sqrt (/ 1 x)) y) 1))) (/ (pow y 2) (- (* (sqrt (/ 1 x)) y) 1))) (/ 1 (pow (- (* (sqrt (/ 1 x)) y) 1) 2))) (- (* (sqrt (/ 1 x)) y) 1))) (/ 1 (- (* (sqrt (/ 1 x)) y) 1))) (pow x 2))) (+ (/ 2 (* x (- (* (sqrt (/ 1 x)) y) 1))) (/ (pow y 2) (* x (- (* (sqrt (/ 1 x)) y) 1))))) (+ (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) y) 1) 2))) (/ 1 (- (* (sqrt (/ 1 x)) y) 1)))))
(* x (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 2 (/ 1 (- (* (sqrt (/ 1 x)) y) 1))) (/ (pow y 2) (- (* (sqrt (/ 1 x)) y) 1))) (/ 1 (pow (- (* (sqrt (/ 1 x)) y) 1) 2))) (pow (- (* (sqrt (/ 1 x)) y) 1) 2))) (/ 1 (pow (- (* (sqrt (/ 1 x)) y) 1) 2))) (pow x 3))) (+ (/ 2 (* x (- (* (sqrt (/ 1 x)) y) 1))) (/ (pow y 2) (* x (- (* (sqrt (/ 1 x)) y) 1))))) (+ (* -1 (/ (- (+ (* 2 (/ 1 (- (* (sqrt (/ 1 x)) y) 1))) (/ (pow y 2) (- (* (sqrt (/ 1 x)) y) 1))) (/ 1 (pow (- (* (sqrt (/ 1 x)) y) 1) 2))) (* (pow x 2) (- (* (sqrt (/ 1 x)) y) 1)))) (+ (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) y) 1) 2))) (+ (/ 1 (* (pow x 2) (- (* (sqrt (/ 1 x)) y) 1))) (/ 1 (- (* (sqrt (/ 1 x)) y) 1)))))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (/ (- (* (sqrt (/ 1 x)) y) 1) x))
(/ (- (+ (* -1 (- (* (sqrt (/ 1 x)) y) 1)) (/ 1 x)) (/ (* (+ 2 (pow y 2)) (- (* (sqrt (/ 1 x)) y) 1)) x)) x)
(/ (- (+ (* -1 (- (* (sqrt (/ 1 x)) y) 1)) (+ (* -1 (/ (+ (* -1 (* (+ 2 (pow y 2)) (- 1 (* (+ 2 (pow y 2)) (- (* (sqrt (/ 1 x)) y) 1))))) (* -1 (- (* (sqrt (/ 1 x)) y) 1))) (pow x 2))) (/ 1 x))) (/ (* (+ 2 (pow y 2)) (- (* (sqrt (/ 1 x)) y) 1)) x)) x)
(/ (- (+ (* -1 (- (* (sqrt (/ 1 x)) y) 1)) (+ (/ 1 x) (/ (* (+ 2 (pow y 2)) (- (* (sqrt (/ 1 x)) y) 1)) (pow x 3)))) (+ (* -1 (/ (* (+ 2 (pow y 2)) (- 1 (* (+ 2 (pow y 2)) (- (* (sqrt (/ 1 x)) y) 1)))) (pow x 2))) (+ (* -1 (/ (- (* (sqrt (/ 1 x)) y) 1) (pow x 2))) (+ (/ 1 (pow x 3)) (+ (/ (* (+ 2 (pow y 2)) (+ (* -1 (* (+ 2 (pow y 2)) (- 1 (* (+ 2 (pow y 2)) (- (* (sqrt (/ 1 x)) y) 1))))) (* -1 (- (* (sqrt (/ 1 x)) y) 1)))) (pow x 3)) (/ (* (+ 2 (pow y 2)) (- (* (sqrt (/ 1 x)) y) 1)) x)))))) x)
(* -1 (/ x y))
(* x (- (/ 1 (* x y)) (/ 1 y)))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))
(* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))
(* -1 (* x (- (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) (/ 1 (* x y)))))
(* (pow x 2) (- (* -1 (/ (- (* -1 (pow y 2)) 2) x)) 1))
(* (pow x 2) (- (* -1 (/ (- (+ (* -1 (pow y 2)) (/ 1 x)) 2) x)) 1))
(/ x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* 2 (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* 2 (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) (+ (* -1 (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) (+ (* 2 (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* 2 (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (* x (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (+ (* -1 (/ (- (* -1 (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* 2 (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x)) (* -1 (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) (+ (* 2 (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(/ (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) x)
(* -1 (/ (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* -1 (/ (- 1 (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) x))) x))
(* -1 (/ (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* -1 (/ (- (+ 1 (+ (* -1 (/ (* (- 1 (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) (- (* -1 (pow y 2)) 2)) x)) (* -1 (/ (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) x)))) (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) x))) x))
(* -1 (/ (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2)) (+ 1 (* (+ (* -1 (* (- 1 (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) (- (* -1 (pow y 2)) 2))) (* -1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (- (* -1 (pow y 2)) 2)))) x)) (+ (* -1 (* (- 1 (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) (- (* -1 (pow y 2)) 2))) (* -1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x))) (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) x))) x))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(/ (- 1 x) y)
(/ (- (+ 1 (* (sqrt x) y)) x) y)
(* -1 (pow (- 1 x) 2))
(- (* x (pow y 2)) (pow (- 1 x) 2))
(* -1 (/ (pow (- 1 x) 2) (- (* -1 x) 1)))
(+ (* -1 (/ (pow (- 1 x) 2) (- (* -1 x) 1))) (* (sqrt x) (/ (* y (pow (- 1 x) 2)) (pow (- (* -1 x) 1) 2))))
(+ (* -1 (/ (pow (- 1 x) 2) (- (* -1 x) 1))) (* y (- (* y (- (/ x (- (* -1 x) 1)) (/ (* x (pow (- 1 x) 2)) (pow (- (* -1 x) 1) 3)))) (* -1 (* (sqrt x) (/ (pow (- 1 x) 2) (pow (- (* -1 x) 1) 2)))))))
(+ (* -1 (/ (pow (- 1 x) 2) (- (* -1 x) 1))) (* y (- (* y (- (+ (* -1 (* (sqrt x) (/ (* y (- (/ x (- (* -1 x) 1)) (/ (* x (pow (- 1 x) 2)) (pow (- (* -1 x) 1) 3)))) (- (* -1 x) 1)))) (/ x (- (* -1 x) 1))) (/ (* x (pow (- 1 x) 2)) (pow (- (* -1 x) 1) 3)))) (* -1 (* (sqrt x) (/ (pow (- 1 x) 2) (pow (- (* -1 x) 1) 2)))))))
(* -1 (/ (- (* -1 x) 1) (pow (- 1 x) 2)))
(+ (* -1 (* (sqrt x) (/ y (pow (- 1 x) 2)))) (* -1 (/ (- (* -1 x) 1) (pow (- 1 x) 2))))
(+ (* -1 (/ (- (* -1 x) 1) (pow (- 1 x) 2))) (* y (+ (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))) (* -1 (/ (* x (* y (- (* -1 x) 1))) (pow (- 1 x) 4))))))
(+ (* -1 (/ (- (* -1 x) 1) (pow (- 1 x) 2))) (* y (+ (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))) (* y (- (* -1 (* (sqrt (pow x 3)) (/ y (pow (- 1 x) 4)))) (/ (* x (- (* -1 x) 1)) (pow (- 1 x) 4)))))))
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(- (+ (sqrt x) (/ 1 y)) (/ x y))
(* (pow y 2) (+ x (* -1 (/ (pow (- 1 x) 2) (pow y 2)))))
(* y (- (+ (sqrt x) (/ 1 y)) (* -1 (/ x y))))
(* y (- (+ (sqrt x) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (/ 1 y))) (+ (* -1 (/ x y)) (* (sqrt (/ 1 x)) (/ (* (- 1 (* -1 x)) (- (* -1 x) 1)) (pow y 2))))))
(* y (- (+ (sqrt x) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- (* -1 x) 1) (- (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (* (- 1 (* -1 x)) (- (* -1 x) 1))))) (pow y 3)))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (/ 1 y)))) (+ (* -1 (/ x y)) (* (sqrt (/ 1 x)) (/ (* (- 1 (* -1 x)) (- (* -1 x) 1)) (pow y 2))))))
(* (sqrt (/ 1 x)) (/ 1 y))
(/ (+ (sqrt (/ 1 x)) (* -1 (/ (+ 1 (/ 1 x)) y))) y)
(/ (- (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 2) (pow y 2)))) (+ (/ 1 y) (/ 1 (* x y)))) y)
(/ (- (+ (sqrt (/ 1 x)) (* -1 (/ (* (+ 1 (/ 1 x)) (pow (- 1 x) 2)) (* x (pow y 3))))) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 2) (pow y 2)))) (+ (/ 1 y) (/ 1 (* x y))))) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 (* -1 x)) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ 1 (* -1 (/ (- (* (sqrt (/ 1 x)) (pow (- 1 x) 2)) (* -1 (* (sqrt (/ 1 x)) (* (- 1 (* -1 x)) (- (* -1 x) 1))))) y))) (* -1 x)) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ 1 (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- (* -1 x) 1) (- (* (sqrt (/ 1 x)) (pow (- 1 x) 2)) (* -1 (* (sqrt (/ 1 x)) (* (- 1 (* -1 x)) (- (* -1 x) 1)))))) y))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* -1 (* (sqrt (/ 1 x)) (* (- 1 (* -1 x)) (- (* -1 x) 1))))) y))) (* -1 x)) y)))))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (+ (/ 1 y) (/ 1 (* x y)))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 2) y)) (+ 1 (/ 1 x))) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 (/ 1 x)) (pow (- 1 x) 2)) (* x y)) (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 2))) y)) (+ 1 (/ 1 x))) y))) y))
Calls

6 calls:

TimeVariablePointExpression
64.0ms
y
@0
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (* (+ (sqrt x) (/ (- 1 x) y)) y) (+ (- 1 x) (* y (sqrt x))) (+ (sqrt x) (/ (- 1 x) y)) (- (* (* y x) y) (pow (- 1 x) 2)) (/ 1 (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2)))) (+ (* -1 x) -1) (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2))) (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (pow x 1/4) (* (pow x 1/4) y) (/ (- 1 x) y) (* (* y x) y))
48.0ms
x
@0
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (* (+ (sqrt x) (/ (- 1 x) y)) y) (+ (- 1 x) (* y (sqrt x))) (+ (sqrt x) (/ (- 1 x) y)) (- (* (* y x) y) (pow (- 1 x) 2)) (/ 1 (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2)))) (+ (* -1 x) -1) (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2))) (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (pow x 1/4) (* (pow x 1/4) y) (/ (- 1 x) y) (* (* y x) y))
45.0ms
x
@-inf
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (* (+ (sqrt x) (/ (- 1 x) y)) y) (+ (- 1 x) (* y (sqrt x))) (+ (sqrt x) (/ (- 1 x) y)) (- (* (* y x) y) (pow (- 1 x) 2)) (/ 1 (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2)))) (+ (* -1 x) -1) (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2))) (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (pow x 1/4) (* (pow x 1/4) y) (/ (- 1 x) y) (* (* y x) y))
30.0ms
y
@-inf
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (* (+ (sqrt x) (/ (- 1 x) y)) y) (+ (- 1 x) (* y (sqrt x))) (+ (sqrt x) (/ (- 1 x) y)) (- (* (* y x) y) (pow (- 1 x) 2)) (/ 1 (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2)))) (+ (* -1 x) -1) (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2))) (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (pow x 1/4) (* (pow x 1/4) y) (/ (- 1 x) y) (* (* y x) y))
14.0ms
x
@inf
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (* (+ (sqrt x) (/ (- 1 x) y)) y) (+ (- 1 x) (* y (sqrt x))) (+ (sqrt x) (/ (- 1 x) y)) (- (* (* y x) y) (pow (- 1 x) 2)) (/ 1 (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2)))) (+ (* -1 x) -1) (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2))) (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (pow x 1/4) (* (pow x 1/4) y) (/ (- 1 x) y) (* (* y x) y))

simplify76.0ms (1.5%)

Memory
8.1MiB live, 89.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05103245
017793043
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
101 → 101
Calls
Call 1
Inputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(sqrt x)
1
(+ 1 (* -1 x))
(* y (+ (sqrt x) (/ 1 y)))
(+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))
(+ (sqrt x) (/ 1 y))
(+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))
-1
(- (* x (+ 2 (pow y 2))) 1)
(- (* x (+ 2 (+ (* -1 x) (pow y 2)))) 1)
(/ -1 (- (* (sqrt x) y) 1))
(- (* x (- (+ (* 2 (/ 1 (- (* (sqrt x) y) 1))) (/ (pow y 2) (- (* (sqrt x) y) 1))) (/ 1 (pow (- (* (sqrt x) y) 1) 2)))) (/ 1 (- (* (sqrt x) y) 1)))
(- (* x (- (+ (* -1 (* x (+ (* -1 (/ (- (+ (* 2 (/ 1 (- (* (sqrt x) y) 1))) (/ (pow y 2) (- (* (sqrt x) y) 1))) (/ 1 (pow (- (* (sqrt x) y) 1) 2))) (- (* (sqrt x) y) 1))) (/ 1 (- (* (sqrt x) y) 1))))) (+ (* 2 (/ 1 (- (* (sqrt x) y) 1))) (/ (pow y 2) (- (* (sqrt x) y) 1)))) (/ 1 (pow (- (* (sqrt x) y) 1) 2)))) (/ 1 (- (* (sqrt x) y) 1)))
(- (* x (- (+ (* 2 (/ 1 (- (* (sqrt x) y) 1))) (+ (* x (- (* -1 (* x (+ (* -1 (/ (- (+ (* 2 (/ 1 (- (* (sqrt x) y) 1))) (/ (pow y 2) (- (* (sqrt x) y) 1))) (/ 1 (pow (- (* (sqrt x) y) 1) 2))) (pow (- (* (sqrt x) y) 1) 2))) (/ 1 (pow (- (* (sqrt x) y) 1) 2))))) (+ (* -1 (/ (- (+ (* 2 (/ 1 (- (* (sqrt x) y) 1))) (/ (pow y 2) (- (* (sqrt x) y) 1))) (/ 1 (pow (- (* (sqrt x) y) 1) 2))) (- (* (sqrt x) y) 1))) (/ 1 (- (* (sqrt x) y) 1))))) (/ (pow y 2) (- (* (sqrt x) y) 1)))) (/ 1 (pow (- (* (sqrt x) y) 1) 2)))) (/ 1 (- (* (sqrt x) y) 1)))
(- (* -1 x) 1)
(* -1 (- (* (sqrt x) y) 1))
(+ (* -1 (- (* (sqrt x) y) 1)) (* x (- 1 (* (+ 2 (pow y 2)) (- (* (sqrt x) y) 1)))))
(+ (* -1 (- (* (sqrt x) y) 1)) (* x (- (+ 1 (* -1 (* x (+ (* -1 (* (+ 2 (pow y 2)) (- 1 (* (+ 2 (pow y 2)) (- (* (sqrt x) y) 1))))) (* -1 (- (* (sqrt x) y) 1)))))) (* (+ 2 (pow y 2)) (- (* (sqrt x) y) 1)))))
(+ (* -1 (- (* (sqrt x) y) 1)) (* x (- (+ 1 (* x (- (* x (- (* (+ 2 (pow y 2)) (- (* (sqrt x) y) 1)) (+ 1 (* (+ 2 (pow y 2)) (+ (* -1 (* (+ 2 (pow y 2)) (- 1 (* (+ 2 (pow y 2)) (- (* (sqrt x) y) 1))))) (* -1 (- (* (sqrt x) y) 1))))))) (+ (* -1 (* (+ 2 (pow y 2)) (- 1 (* (+ 2 (pow y 2)) (- (* (sqrt x) y) 1))))) (* -1 (- (* (sqrt x) y) 1)))))) (* (+ 2 (pow y 2)) (- (* (sqrt x) y) 1)))))
(pow (* 1 x) 1/4)
(* (pow (* 1 x) 1/4) y)
(/ 1 y)
(+ (* -1 (/ x y)) (/ 1 y))
(* x (pow y 2))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))
(* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))
(* x (- (sqrt (/ 1 x)) (/ 1 y)))
(* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))
(* -1 (pow x 2))
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ (pow y 2) x)) 1))
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ (pow y 2) x)) (+ 1 (/ 1 (pow x 2)))))
(* -1 (/ x (- (* (sqrt (/ 1 x)) y) 1)))
(* x (- (+ (/ 2 (* x (- (* (sqrt (/ 1 x)) y) 1))) (/ (pow y 2) (* x (- (* (sqrt (/ 1 x)) y) 1)))) (+ (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) y) 1) 2))) (/ 1 (- (* (sqrt (/ 1 x)) y) 1)))))
(* x (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 2 (/ 1 (- (* (sqrt (/ 1 x)) y) 1))) (/ (pow y 2) (- (* (sqrt (/ 1 x)) y) 1))) (/ 1 (pow (- (* (sqrt (/ 1 x)) y) 1) 2))) (- (* (sqrt (/ 1 x)) y) 1))) (/ 1 (- (* (sqrt (/ 1 x)) y) 1))) (pow x 2))) (+ (/ 2 (* x (- (* (sqrt (/ 1 x)) y) 1))) (/ (pow y 2) (* x (- (* (sqrt (/ 1 x)) y) 1))))) (+ (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) y) 1) 2))) (/ 1 (- (* (sqrt (/ 1 x)) y) 1)))))
(* x (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 2 (/ 1 (- (* (sqrt (/ 1 x)) y) 1))) (/ (pow y 2) (- (* (sqrt (/ 1 x)) y) 1))) (/ 1 (pow (- (* (sqrt (/ 1 x)) y) 1) 2))) (pow (- (* (sqrt (/ 1 x)) y) 1) 2))) (/ 1 (pow (- (* (sqrt (/ 1 x)) y) 1) 2))) (pow x 3))) (+ (/ 2 (* x (- (* (sqrt (/ 1 x)) y) 1))) (/ (pow y 2) (* x (- (* (sqrt (/ 1 x)) y) 1))))) (+ (* -1 (/ (- (+ (* 2 (/ 1 (- (* (sqrt (/ 1 x)) y) 1))) (/ (pow y 2) (- (* (sqrt (/ 1 x)) y) 1))) (/ 1 (pow (- (* (sqrt (/ 1 x)) y) 1) 2))) (* (pow x 2) (- (* (sqrt (/ 1 x)) y) 1)))) (+ (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) y) 1) 2))) (+ (/ 1 (* (pow x 2) (- (* (sqrt (/ 1 x)) y) 1))) (/ 1 (- (* (sqrt (/ 1 x)) y) 1)))))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (/ (- (* (sqrt (/ 1 x)) y) 1) x))
(/ (- (+ (* -1 (- (* (sqrt (/ 1 x)) y) 1)) (/ 1 x)) (/ (* (+ 2 (pow y 2)) (- (* (sqrt (/ 1 x)) y) 1)) x)) x)
(/ (- (+ (* -1 (- (* (sqrt (/ 1 x)) y) 1)) (+ (* -1 (/ (+ (* -1 (* (+ 2 (pow y 2)) (- 1 (* (+ 2 (pow y 2)) (- (* (sqrt (/ 1 x)) y) 1))))) (* -1 (- (* (sqrt (/ 1 x)) y) 1))) (pow x 2))) (/ 1 x))) (/ (* (+ 2 (pow y 2)) (- (* (sqrt (/ 1 x)) y) 1)) x)) x)
(/ (- (+ (* -1 (- (* (sqrt (/ 1 x)) y) 1)) (+ (/ 1 x) (/ (* (+ 2 (pow y 2)) (- (* (sqrt (/ 1 x)) y) 1)) (pow x 3)))) (+ (* -1 (/ (* (+ 2 (pow y 2)) (- 1 (* (+ 2 (pow y 2)) (- (* (sqrt (/ 1 x)) y) 1)))) (pow x 2))) (+ (* -1 (/ (- (* (sqrt (/ 1 x)) y) 1) (pow x 2))) (+ (/ 1 (pow x 3)) (+ (/ (* (+ 2 (pow y 2)) (+ (* -1 (* (+ 2 (pow y 2)) (- 1 (* (+ 2 (pow y 2)) (- (* (sqrt (/ 1 x)) y) 1))))) (* -1 (- (* (sqrt (/ 1 x)) y) 1)))) (pow x 3)) (/ (* (+ 2 (pow y 2)) (- (* (sqrt (/ 1 x)) y) 1)) x)))))) x)
(* -1 (/ x y))
(* x (- (/ 1 (* x y)) (/ 1 y)))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))
(* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))
(* -1 (* x (- (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) (/ 1 (* x y)))))
(* (pow x 2) (- (* -1 (/ (- (* -1 (pow y 2)) 2) x)) 1))
(* (pow x 2) (- (* -1 (/ (- (+ (* -1 (pow y 2)) (/ 1 x)) 2) x)) 1))
(/ x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* 2 (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* 2 (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) (+ (* -1 (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) (+ (* 2 (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* 2 (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (* x (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (+ (* -1 (/ (- (* -1 (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* 2 (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x)) (* -1 (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) (+ (* 2 (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(/ (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) x)
(* -1 (/ (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* -1 (/ (- 1 (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) x))) x))
(* -1 (/ (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* -1 (/ (- (+ 1 (+ (* -1 (/ (* (- 1 (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) (- (* -1 (pow y 2)) 2)) x)) (* -1 (/ (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) x)))) (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) x))) x))
(* -1 (/ (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2)) (+ 1 (* (+ (* -1 (* (- 1 (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) (- (* -1 (pow y 2)) 2))) (* -1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (- (* -1 (pow y 2)) 2)))) x)) (+ (* -1 (* (- 1 (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) (- (* -1 (pow y 2)) 2))) (* -1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x))) (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) x))) x))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(/ (- 1 x) y)
(/ (- (+ 1 (* (sqrt x) y)) x) y)
(* -1 (pow (- 1 x) 2))
(- (* x (pow y 2)) (pow (- 1 x) 2))
(* -1 (/ (pow (- 1 x) 2) (- (* -1 x) 1)))
(+ (* -1 (/ (pow (- 1 x) 2) (- (* -1 x) 1))) (* (sqrt x) (/ (* y (pow (- 1 x) 2)) (pow (- (* -1 x) 1) 2))))
(+ (* -1 (/ (pow (- 1 x) 2) (- (* -1 x) 1))) (* y (- (* y (- (/ x (- (* -1 x) 1)) (/ (* x (pow (- 1 x) 2)) (pow (- (* -1 x) 1) 3)))) (* -1 (* (sqrt x) (/ (pow (- 1 x) 2) (pow (- (* -1 x) 1) 2)))))))
(+ (* -1 (/ (pow (- 1 x) 2) (- (* -1 x) 1))) (* y (- (* y (- (+ (* -1 (* (sqrt x) (/ (* y (- (/ x (- (* -1 x) 1)) (/ (* x (pow (- 1 x) 2)) (pow (- (* -1 x) 1) 3)))) (- (* -1 x) 1)))) (/ x (- (* -1 x) 1))) (/ (* x (pow (- 1 x) 2)) (pow (- (* -1 x) 1) 3)))) (* -1 (* (sqrt x) (/ (pow (- 1 x) 2) (pow (- (* -1 x) 1) 2)))))))
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(+ (* -1 (/ (- (* -1 x) 1) (pow (- 1 x) 2))) (* y (+ (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))) (* y (- (* -1 (* (sqrt (pow x 3)) (/ y (pow (- 1 x) 4)))) (/ (* x (- (* -1 x) 1)) (pow (- 1 x) 4)))))))
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(- (+ (sqrt x) (/ 1 y)) (/ x y))
(* (pow y 2) (+ x (* -1 (/ (pow (- 1 x) 2) (pow y 2)))))
(* y (- (+ (sqrt x) (/ 1 y)) (* -1 (/ x y))))
(* y (- (+ (sqrt x) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (/ 1 y))) (+ (* -1 (/ x y)) (* (sqrt (/ 1 x)) (/ (* (- 1 (* -1 x)) (- (* -1 x) 1)) (pow y 2))))))
(* y (- (+ (sqrt x) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- (* -1 x) 1) (- (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (* (- 1 (* -1 x)) (- (* -1 x) 1))))) (pow y 3)))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (/ 1 y)))) (+ (* -1 (/ x y)) (* (sqrt (/ 1 x)) (/ (* (- 1 (* -1 x)) (- (* -1 x) 1)) (pow y 2))))))
(* (sqrt (/ 1 x)) (/ 1 y))
(/ (+ (sqrt (/ 1 x)) (* -1 (/ (+ 1 (/ 1 x)) y))) y)
(/ (- (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 2) (pow y 2)))) (+ (/ 1 y) (/ 1 (* x y)))) y)
(/ (- (+ (sqrt (/ 1 x)) (* -1 (/ (* (+ 1 (/ 1 x)) (pow (- 1 x) 2)) (* x (pow y 3))))) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 2) (pow y 2)))) (+ (/ 1 y) (/ 1 (* x y))))) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 (* -1 x)) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ 1 (* -1 (/ (- (* (sqrt (/ 1 x)) (pow (- 1 x) 2)) (* -1 (* (sqrt (/ 1 x)) (* (- 1 (* -1 x)) (- (* -1 x) 1))))) y))) (* -1 x)) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ 1 (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- (* -1 x) 1) (- (* (sqrt (/ 1 x)) (pow (- 1 x) 2)) (* -1 (* (sqrt (/ 1 x)) (* (- 1 (* -1 x)) (- (* -1 x) 1)))))) y))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* -1 (* (sqrt (/ 1 x)) (* (- 1 (* -1 x)) (- (* -1 x) 1))))) y))) (* -1 x)) y)))))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (+ (/ 1 y) (/ 1 (* x y)))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 2) y)) (+ 1 (/ 1 x))) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 (/ 1 x)) (pow (- 1 x) 2)) (* x y)) (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 2))) y)) (+ 1 (/ 1 x))) y))) y))
Outputs
(+ 1 (* (sqrt x) y))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64))
(sqrt x)
(sqrt.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
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(* y (+ (sqrt x) (/ 1 y)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) y)
(+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) y (neg.f64 x))
(+ (sqrt x) (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
(+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))
(+.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))
-1
#s(literal -1 binary64)
(- (* x (+ 2 (pow y 2))) 1)
(fma.f64 (fma.f64 y y #s(literal 2 binary64)) x #s(literal -1 binary64))
(- (* x (+ 2 (+ (* -1 x) (pow y 2)))) 1)
(fma.f64 (+.f64 (fma.f64 y y (neg.f64 x)) #s(literal 2 binary64)) x #s(literal -1 binary64))
(/ -1 (- (* (sqrt x) y) 1))
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(- (* -1 x) 1)
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(* -1 (- (* (sqrt x) y) 1))
(neg.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))
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(fma.f64 (-.f64 (fma.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) (fma.f64 y y #s(literal 2 binary64)))) (fma.f64 y y #s(literal 2 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) (fma.f64 y y #s(literal 2 binary64)))) x (neg.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))
(+ (* -1 (- (* (sqrt x) y) 1)) (* x (- (+ 1 (* x (- (* x (- (* (+ 2 (pow y 2)) (- (* (sqrt x) y) 1)) (+ 1 (* (+ 2 (pow y 2)) (+ (* -1 (* (+ 2 (pow y 2)) (- 1 (* (+ 2 (pow y 2)) (- (* (sqrt x) y) 1))))) (* -1 (- (* (sqrt x) y) 1))))))) (+ (* -1 (* (+ 2 (pow y 2)) (- 1 (* (+ 2 (pow y 2)) (- (* (sqrt x) y) 1))))) (* -1 (- (* (sqrt x) y) 1)))))) (* (+ 2 (pow y 2)) (- (* (sqrt x) y) 1)))))
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(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(* (pow (* 1 x) 1/4) y)
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
(/ 1 y)
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(+ (* -1 (/ x y)) (/ 1 y))
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(* x (pow y 2))
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(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
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(* -1 x)
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(* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))
(*.f64 (*.f64 y x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)))
(* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))
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(* x (- (sqrt (/ 1 x)) (/ 1 y)))
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x)
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(* -1 (pow x 2))
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(*.f64 (-.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (*.f64 y y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 x) y))) y)
(* y (- (+ (sqrt x) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- (* -1 x) 1) (- (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (* (- 1 (* -1 x)) (- (* -1 x) 1))))) (pow y 3)))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (/ 1 y)))) (+ (* -1 (/ x y)) (* (sqrt (/ 1 x)) (/ (* (- 1 (* -1 x)) (- (* -1 x) 1)) (pow y 2))))))
(*.f64 (-.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (/.f64 (-.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)) (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (*.f64 y y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 x) y))) y)
(* (sqrt (/ 1 x)) (/ 1 y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))
(/ (+ (sqrt (/ 1 x)) (* -1 (/ (+ 1 (/ 1 x)) y))) y)
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)
(/ (- (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 2) (pow y 2)))) (+ (/ 1 y) (/ 1 (* x y)))) y)
(/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 y y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y)) y)
(/ (- (+ (sqrt (/ 1 x)) (* -1 (/ (* (+ 1 (/ 1 x)) (pow (- 1 x) 2)) (* x (pow y 3))))) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 2) (pow y 2)))) (+ (/ 1 y) (/ 1 (* x y))))) y)
(/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 y y)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y))) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) y))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 (* -1 x)) y)))))
(neg.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) y))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ 1 (* -1 (/ (- (* (sqrt (/ 1 x)) (pow (- 1 x) 2)) (* -1 (* (sqrt (/ 1 x)) (* (- 1 (* -1 x)) (- (* -1 x) 1))))) y))) (* -1 x)) y)))))
(neg.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))) y) #s(literal -1 binary64) #s(literal 1 binary64)) x) y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) y))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ 1 (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- (* -1 x) 1) (- (* (sqrt (/ 1 x)) (pow (- 1 x) 2)) (* -1 (* (sqrt (/ 1 x)) (* (- 1 (* -1 x)) (- (* -1 x) 1)))))) y))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* -1 (* (sqrt (/ 1 x)) (* (- 1 (* -1 x)) (- (* -1 x) 1))))) y))) (* -1 x)) y)))))
(neg.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))) y)) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))))) y) #s(literal -1 binary64) #s(literal 1 binary64)) x) y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (+ (/ 1 y) (/ 1 (* x y)))) y))
(neg.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y)) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 2) y)) (+ 1 (/ 1 x))) y))) y))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 (/ 1 x)) (pow (- 1 x) 2)) (* x y)) (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 2))) y)) (+ 1 (/ 1 x))) y))) y))
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) y)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) y))

rewrite295.0ms (6%)

Memory
22.6MiB live, 440.8MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029148
049126
1223124
21915114
09960114
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 1 625
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
(-.f64 #s(literal 1 binary64) x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y))
(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(-.f64 (*.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
(/.f64 (fma.f64 (sqrt.f64 x) y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 1/4 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(*.f64 (*.f64 y x) y)
Outputs
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64))) (/.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 y x) y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 6 binary64))) #s(literal -1 binary64))) (/.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 y (sqrt.f64 x))))) (fma.f64 (*.f64 y x) y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 6 binary64))) #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 y (sqrt.f64 x))))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 y (sqrt.f64 x))))) (pow.f64 (-.f64 (*.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 6 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 y x) y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (fma.f64 (*.f64 y x) y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))) (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 4 binary64))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 y x) y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 y (sqrt.f64 x))))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 y (sqrt.f64 x))))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 6 binary64))) (-.f64 (*.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))) (/.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal -1 binary64) x)) (pow.f64 (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 y (sqrt.f64 x))))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))) (/.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 y (sqrt.f64 x))))) #s(literal -1 binary64))))
(*.f64 (neg.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (fabs.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal -1 binary64) x)) (-.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal -1 binary64) x)) (-.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64))) #s(literal -1 binary64)))
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(fma.f64 x (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(-.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 (pow.f64 y #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y))))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y))))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 y y)) (/.f64 (*.f64 y x) (*.f64 y y)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y)))
(-.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) y) (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) y))
(-.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) y) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)))
(-.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) y))
(-.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y)))
(+.f64 (/.f64 x y) (pow.f64 y #s(literal -1 binary64)))
(+.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (/.f64 x y)))
(+.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y))
(*.f64 (neg.f64 (*.f64 (fabs.f64 y) (sqrt.f64 x))) (neg.f64 (*.f64 (fabs.f64 y) (sqrt.f64 x))))
(*.f64 (fabs.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64)))) (fabs.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
(*.f64 (fabs.f64 (*.f64 (*.f64 y (sqrt.f64 x)) y)) (sqrt.f64 x))
(*.f64 (fabs.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x))) (fabs.f64 y))
(*.f64 (fabs.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) (fabs.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 y (sqrt.f64 x)))))
(*.f64 (fabs.f64 (*.f64 y x)) (fabs.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))))
(*.f64 (fabs.f64 y) (fabs.f64 (*.f64 y x)))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) y) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) y)
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 x))) (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 x))))
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 (fabs.f64 y) (sqrt.f64 x)) (*.f64 (fabs.f64 y) (sqrt.f64 x)))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 y (sqrt.f64 x))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fabs.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (*.f64 y (sqrt.f64 x)))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (*.f64 y (sqrt.f64 x))))
(*.f64 (*.f64 y x) y)
(*.f64 y (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))
(*.f64 y (*.f64 y x))
(*.f64 (sqrt.f64 x) (fabs.f64 (*.f64 y (*.f64 y (sqrt.f64 x)))))
(*.f64 (sqrt.f64 x) (*.f64 y (*.f64 y (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) #s(literal 2 binary64)))
(*.f64 x (*.f64 y y))
(pow.f64 (*.f64 (fabs.f64 y) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (*.f64 (*.f64 y x) y)))
(fabs.f64 (*.f64 (*.f64 y x) y))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))

eval342.0ms (7%)

Memory
9.2MiB live, 403.9MiB allocated
Compiler

Compiled 52 429 to 5 420 computations (89.7% saved)

prune40.0ms (0.8%)

Memory
-16.0MiB live, 112.0MiB allocated
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1 670121 682
Fresh213
Picked415
Done000
Total1 676141 690
Accuracy
100.0%
Counts
1 690 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x))
67.6%
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
69.3%
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
61.1%
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (*.f64 (-.f64 x (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64))) y) (-.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))
32.7%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 x #s(literal -1 binary64)))
✓63.5%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
60.9%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
65.1%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (/.f64 x (-.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (/.f64 (*.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (-.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) y))
▶69.3%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) y))
▶54.0%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (sqrt x) (/ (- 1 x) y)) (*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x)) y))
31.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
▶32.8%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
62.8%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (sqrt x) (/ (- 1 x) y)) y) (*.f64 (*.f64 y x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)))))
▶38.6%
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (sqrt.f64 x) y))
Compiler

Compiled 528 to 346 computations (34.5% saved)

simplify195.0ms (4%)

Memory
-8.4MiB live, 67.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x)
cost-diff0
#s(approx (+ (sqrt x) (/ (- 1 x) y)) (*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x))
cost-diff0
(*.f64 #s(approx (+ (sqrt x) (/ (- 1 x) y)) (*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x)) y)
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (sqrt x) (/ (- 1 x) y)) (*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x)) y))
cost-diff0
(sqrt.f64 x)
cost-diff0
(+.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) y))
cost-diff832
(*.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) y)
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) y)
cost-diff0
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (sqrt.f64 x) y))
cost-diff0
#s(approx (- 1 x) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 (sqrt.f64 x))
cost-diff0
(*.f64 (sqrt.f64 (sqrt.f64 x)) y)
cost-diff0
(pow.f64 x #s(literal 1/4 binary64))
cost-diff0
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034234
053234
184234
2159234
3347234
4884230
52137230
63126230
74045230
85001230
95447230
105821230
116308230
126458230
137864230
08125224
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 1/4 binary64))
x
#s(literal 1/4 binary64)
(*.f64 (sqrt.f64 (sqrt.f64 x)) y)
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) y))
(*.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) y)
(+.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
(sqrt.f64 x)
x
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
y
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (sqrt x) (/ (- 1 x) y)) (*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x)) y))
(*.f64 #s(approx (+ (sqrt x) (/ (- 1 x) y)) (*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x)) y)
#s(approx (+ (sqrt x) (/ (- 1 x) y)) (*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x))
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x)
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) y)
y
Outputs
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 1/4 binary64))
x
#s(literal 1/4 binary64)
(*.f64 (sqrt.f64 (sqrt.f64 x)) y)
(*.f64 y (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(sqrt.f64 x)
x
y
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(approx (- 1 x) #s(literal 1 binary64))))
(*.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) y)
(fma.f64 y (sqrt.f64 x) #s(approx (- 1 x) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
(+.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (sqrt.f64 x))
(sqrt.f64 x)
x
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
y
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (sqrt x) (/ (- 1 x) y)) (*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x)) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (sqrt x) (/ (- 1 x) y)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x (/.f64 (neg.f64 x) y))) y))
(*.f64 #s(approx (+ (sqrt x) (/ (- 1 x) y)) (*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x)) y)
(*.f64 #s(approx (+ (sqrt x) (/ (- 1 x) y)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x (/.f64 (neg.f64 x) y))) y)
#s(approx (+ (sqrt x) (/ (- 1 x) y)) (*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (+ (sqrt x) (/ (- 1 x) y)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x (/.f64 (neg.f64 x) y)))
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x (/.f64 (neg.f64 x) y))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) y)
y

localize147.0ms (3%)

Memory
-22.6MiB live, 109.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.109375
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy0.2109375
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x)
accuracy8.79687572225141
(*.f64 #s(approx (+ (sqrt x) (/ (- 1 x) y)) (*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x)) y)
accuracy20.832164505822583
#s(approx (+ (sqrt x) (/ (- 1 x) y)) (*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x))
accuracy0.00390625
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
accuracy0.00390625
(+.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
accuracy8.79687572225141
(*.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) y)
accuracy31.102637740806813
#s(approx (- 1 x) #s(literal 1 binary64))
accuracy0
(sqrt.f64 x)
accuracy0.21484375
(*.f64 (sqrt.f64 x) y)
accuracy39.22018190084184
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (sqrt.f64 x) y))
accuracy23.333083657497383
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy31.102637740806813
#s(approx (- 1 x) #s(literal 1 binary64))
accuracy0
(sqrt.f64 x)
accuracy0.10546875
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x))
accuracy0.10546875
(sqrt.f64 (sqrt.f64 x))
accuracy0.28125
(*.f64 (sqrt.f64 (sqrt.f64 x)) y)
Samples
125.0ms256×0valid
Compiler

Compiled 393 to 60 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 29.0ms (46.6% of total)
ival-sqrt: 14.0ms (22.5% of total)
ival-pow: 7.0ms (11.3% of total)
ival-div: 5.0ms (8% of total)
ival-add: 4.0ms (6.4% of total)
ival-sub: 2.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series131.0ms (2.7%)

Memory
14.2MiB live, 174.8MiB allocated
Counts
18 → 51
Calls
Call 1
Inputs
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 x)) y)
(sqrt.f64 (sqrt.f64 x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
(*.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) y)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) y))
(+.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (sqrt x) (/ (- 1 x) y)) (*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x)) y))
(*.f64 #s(approx (+ (sqrt x) (/ (- 1 x) y)) (*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x)) y)
#s(approx (+ (sqrt x) (/ (- 1 x) y)) (*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x))
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x)
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
Outputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(pow (* 1 x) 1/4)
(* (pow (* 1 x) 1/4) y)
1
(+ 1 (* -1 x))
(* (sqrt x) y)
(sqrt x)
(* y (+ (sqrt x) (/ 1 y)))
(+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))
(+ (sqrt x) (/ 1 y))
(+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))
(+ (sqrt x) (* -1 (/ x y)))
(/ 1 y)
(+ (* -1 (/ x y)) (/ 1 y))
(sqrt (/ 1 x))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))
(* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))
(* x (- (sqrt (/ 1 x)) (/ 1 y)))
(* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))
(* -1 (/ x y))
(* x (- (/ 1 (* x y)) (/ 1 y)))
(* -1 (* x (+ 1 (* (pow -1 1/4) (* (sqrt (/ (pow (sqrt -1) 3) x)) y)))))
(* -1 (* x (- (+ 1 (* (pow -1 1/4) (* (sqrt (/ (pow (sqrt -1) 3) x)) y))) (/ 1 x))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(* (pow (* -1 x) 1/4) (* y (sqrt (sqrt -1))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))
(* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))
(* -1 (* x (- (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) (/ 1 (* x y)))))
(* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(/ (- 1 x) y)
(/ (- (+ 1 (* (sqrt x) y)) x) y)
(/ (+ (* -1 x) (* (sqrt x) y)) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(- (+ (sqrt x) (/ 1 y)) (/ x y))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
Calls

6 calls:

TimeVariablePointExpression
47.0ms
x
@-inf
((+ (* (pow x 1/4) (* (sqrt (sqrt x)) y)) (- 1 x)) (pow x 1/4) (* (sqrt (sqrt x)) y) (sqrt (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (* (sqrt x) y) (- 1 x)) (* (sqrt x) y) (sqrt x) (* (+ (sqrt x) (/ (- 1 x) y)) y) (+ (- 1 x) (* y (sqrt x))) (+ (sqrt x) (/ (- 1 x) y)) (+ (- 1 x) (* y (sqrt x))) (* (+ (sqrt x) (/ (- 1 x) y)) y) (+ (sqrt x) (/ (- 1 x) y)) (* (- (sqrt (/ 1 x)) (/ 1 y)) x) (/ (- 1 x) y) (sqrt (/ 1 x)))
37.0ms
y
@0
((+ (* (pow x 1/4) (* (sqrt (sqrt x)) y)) (- 1 x)) (pow x 1/4) (* (sqrt (sqrt x)) y) (sqrt (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (* (sqrt x) y) (- 1 x)) (* (sqrt x) y) (sqrt x) (* (+ (sqrt x) (/ (- 1 x) y)) y) (+ (- 1 x) (* y (sqrt x))) (+ (sqrt x) (/ (- 1 x) y)) (+ (- 1 x) (* y (sqrt x))) (* (+ (sqrt x) (/ (- 1 x) y)) y) (+ (sqrt x) (/ (- 1 x) y)) (* (- (sqrt (/ 1 x)) (/ 1 y)) x) (/ (- 1 x) y) (sqrt (/ 1 x)))
17.0ms
x
@0
((+ (* (pow x 1/4) (* (sqrt (sqrt x)) y)) (- 1 x)) (pow x 1/4) (* (sqrt (sqrt x)) y) (sqrt (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (* (sqrt x) y) (- 1 x)) (* (sqrt x) y) (sqrt x) (* (+ (sqrt x) (/ (- 1 x) y)) y) (+ (- 1 x) (* y (sqrt x))) (+ (sqrt x) (/ (- 1 x) y)) (+ (- 1 x) (* y (sqrt x))) (* (+ (sqrt x) (/ (- 1 x) y)) y) (+ (sqrt x) (/ (- 1 x) y)) (* (- (sqrt (/ 1 x)) (/ 1 y)) x) (/ (- 1 x) y) (sqrt (/ 1 x)))
12.0ms
y
@-inf
((+ (* (pow x 1/4) (* (sqrt (sqrt x)) y)) (- 1 x)) (pow x 1/4) (* (sqrt (sqrt x)) y) (sqrt (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (* (sqrt x) y) (- 1 x)) (* (sqrt x) y) (sqrt x) (* (+ (sqrt x) (/ (- 1 x) y)) y) (+ (- 1 x) (* y (sqrt x))) (+ (sqrt x) (/ (- 1 x) y)) (+ (- 1 x) (* y (sqrt x))) (* (+ (sqrt x) (/ (- 1 x) y)) y) (+ (sqrt x) (/ (- 1 x) y)) (* (- (sqrt (/ 1 x)) (/ 1 y)) x) (/ (- 1 x) y) (sqrt (/ 1 x)))
9.0ms
y
@inf
((+ (* (pow x 1/4) (* (sqrt (sqrt x)) y)) (- 1 x)) (pow x 1/4) (* (sqrt (sqrt x)) y) (sqrt (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (* (sqrt x) y) (- 1 x)) (* (sqrt x) y) (sqrt x) (* (+ (sqrt x) (/ (- 1 x) y)) y) (+ (- 1 x) (* y (sqrt x))) (+ (sqrt x) (/ (- 1 x) y)) (+ (- 1 x) (* y (sqrt x))) (* (+ (sqrt x) (/ (- 1 x) y)) y) (+ (sqrt x) (/ (- 1 x) y)) (* (- (sqrt (/ 1 x)) (/ 1 y)) x) (/ (- 1 x) y) (sqrt (/ 1 x)))

simplify62.0ms (1.3%)

Memory
-2.6MiB live, 34.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0120503
0353487
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
Counts
51 → 51
Calls
Call 1
Inputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(pow (* 1 x) 1/4)
(* (pow (* 1 x) 1/4) y)
1
(+ 1 (* -1 x))
(* (sqrt x) y)
(sqrt x)
(* y (+ (sqrt x) (/ 1 y)))
(+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))
(+ (sqrt x) (/ 1 y))
(+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))
(+ (sqrt x) (* -1 (/ x y)))
(/ 1 y)
(+ (* -1 (/ x y)) (/ 1 y))
(sqrt (/ 1 x))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))
(* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))
(* x (- (sqrt (/ 1 x)) (/ 1 y)))
(* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))
(* -1 (/ x y))
(* x (- (/ 1 (* x y)) (/ 1 y)))
(* -1 (* x (+ 1 (* (pow -1 1/4) (* (sqrt (/ (pow (sqrt -1) 3) x)) y)))))
(* -1 (* x (- (+ 1 (* (pow -1 1/4) (* (sqrt (/ (pow (sqrt -1) 3) x)) y))) (/ 1 x))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(* (pow (* -1 x) 1/4) (* y (sqrt (sqrt -1))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))
(* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))
(* -1 (* x (- (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) (/ 1 (* x y)))))
(* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(/ (- 1 x) y)
(/ (- (+ 1 (* (sqrt x) y)) x) y)
(/ (+ (* -1 x) (* (sqrt x) y)) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(- (+ (sqrt x) (/ 1 y)) (/ x y))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
Outputs
(+ 1 (* (sqrt x) y))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(* (pow (* 1 x) 1/4) y)
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(sqrt x)
(sqrt.f64 x)
(* y (+ (sqrt x) (/ 1 y)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) y)
(+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) y (neg.f64 x))
(+ (sqrt x) (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
(+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))
(+.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y))
(+ (sqrt x) (* -1 (/ x y)))
(fma.f64 (/.f64 x y) #s(literal -1 binary64) (sqrt.f64 x))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ x y)) (/ 1 y))
(fma.f64 (/.f64 x y) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))
(*.f64 (*.f64 y x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)))
(* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))
(*.f64 (fma.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) y (/.f64 #s(literal 1 binary64) x)) x)
(* x (- (sqrt (/ 1 x)) (/ 1 y)))
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x)
(* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* x (- (/ 1 (* x y)) (/ 1 y)))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (* x (+ 1 (* (pow -1 1/4) (* (sqrt (/ (pow (sqrt -1) 3) x)) y)))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x))) y #s(literal 1 binary64)))
(* -1 (* x (- (+ 1 (* (pow -1 1/4) (* (sqrt (/ (pow (sqrt -1) 3) x)) y))) (/ 1 x))))
(*.f64 (neg.f64 x) (-.f64 (fma.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x))) y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
(* (pow (* -1 x) 1/4) (* y (sqrt (sqrt -1))))
(*.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) y) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(*.f64 (neg.f64 x) (-.f64 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(* -1 (* x (- 1 (/ 1 x))))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* -1 (* x (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))
(*.f64 (neg.f64 x) (*.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) y))
(* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))
(*.f64 (neg.f64 x) (fma.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) y (neg.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))
(*.f64 (neg.f64 x) (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) (/ 1 (* x y)))))
(*.f64 (neg.f64 x) (-.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))
(*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- (+ 1 (* (sqrt x) y)) x) y)
(/.f64 (-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) y)
(/ (+ (* -1 x) (* (sqrt x) y)) y)
(/.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y)
(- (+ (sqrt x) (/ 1 y)) (/ x y))
(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (neg.f64 (sqrt.f64 x))) y))

rewrite180.0ms (3.7%)

Memory
-6.8MiB live, 305.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034195
053195
1205186
21671178
09028173
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 387
Calls
Call 1
Inputs
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 x)) y)
(sqrt.f64 (sqrt.f64 x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
(*.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) y)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) y))
(+.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (sqrt x) (/ (- 1 x) y)) (*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x)) y))
(*.f64 #s(approx (+ (sqrt x) (/ (- 1 x) y)) (*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x)) y)
#s(approx (+ (sqrt x) (/ (- 1 x) y)) (*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x))
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x)
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
Outputs
(*.f64 (-.f64 (*.f64 (*.f64 y y) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 y y) x)) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (fma.f64 y (sqrt.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
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(fma.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (sqrt.f64 x))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
(fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
(fma.f64 x (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (sqrt.f64 x))) (/.f64 x (-.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (sqrt.f64 x))))
(-.f64 (/.f64 x (-.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) (/.f64 (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))
(-.f64 (sqrt.f64 x) (*.f64 (neg.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (pow.f64 y #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (sqrt.f64 x))))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (sqrt.f64 x))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (sqrt.f64 x))))) (/.f64 (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (sqrt.f64 x))))))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (sqrt.f64 x)) x)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (sqrt.f64 x)) x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (sqrt.f64 x)) x)) (/.f64 (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (sqrt.f64 x)) x)))
(+.f64 (/.f64 x (-.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) (/.f64 (*.f64 (neg.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (-.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))
(+.f64 (/.f64 x (-.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) (/.f64 (neg.f64 (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (-.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))
(+.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (sqrt x) (/ (- 1 x) y)) (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 x) y))) y))
(*.f64 #s(approx (+ (sqrt x) (/ (- 1 x) y)) (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 x) y))) y)
(*.f64 y #s(approx (+ (sqrt x) (/ (- 1 x) y)) (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 x) y))))
#s(approx (+ (sqrt x) (/ (- 1 x) y)) (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 x) y)))
(*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1 binary64))) x)
(*.f64 x (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1 binary64))))
(/.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64))) (+.f64 x (-.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y)) (*.f64 (sqrt.f64 x) (/.f64 (neg.f64 x) y)))))
(/.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (*.f64 x (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))) (+.f64 x (-.f64 (*.f64 (*.f64 x (/.f64 #s(literal -1 binary64) y)) (*.f64 x (/.f64 #s(literal -1 binary64) y))) (*.f64 (sqrt.f64 x) (*.f64 x (/.f64 #s(literal -1 binary64) y))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64))) x)) (neg.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) y))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 y #s(literal -3 binary64))) x)) (neg.f64 (+.f64 (+.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (pow.f64 y #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64))))) (neg.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) y))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 y #s(literal -3 binary64))))) (neg.f64 (+.f64 (+.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (pow.f64 y #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64))) x) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 y #s(literal -3 binary64))) x) (+.f64 (+.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (pow.f64 y #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64)))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 y #s(literal -3 binary64)))) (+.f64 (+.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (pow.f64 y #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (neg.f64 (sqrt.f64 x))) (*.f64 x (/.f64 #s(literal -1 binary64) y)))
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (neg.f64 (sqrt.f64 x))) (/.f64 (neg.f64 x) y))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (*.f64 x (/.f64 #s(literal -1 binary64) y)))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 x) y))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (*.f64 x (/.f64 #s(literal -1 binary64) y)))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (neg.f64 x) y))
(fma.f64 (pow.f64 x #s(literal 1/8 binary64)) (fabs.f64 (pow.f64 x #s(literal 3/8 binary64))) (*.f64 x (/.f64 #s(literal -1 binary64) y)))
(fma.f64 (pow.f64 x #s(literal 1/8 binary64)) (fabs.f64 (pow.f64 x #s(literal 3/8 binary64))) (/.f64 (neg.f64 x) y))
(fma.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)) (*.f64 x (/.f64 #s(literal -1 binary64) y)))
(fma.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)) (/.f64 (neg.f64 x) y))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) x (*.f64 x (/.f64 #s(literal -1 binary64) y)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) x (/.f64 (neg.f64 x) y))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) (*.f64 x (/.f64 #s(literal -1 binary64) y)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) (/.f64 (neg.f64 x) y))
(fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -1 binary64) y)))
(fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (/.f64 (neg.f64 x) y))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (*.f64 x (/.f64 #s(literal -1 binary64) y)))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (neg.f64 x) y))
(fma.f64 x (pow.f64 x #s(literal -1/2 binary64)) (*.f64 x (/.f64 #s(literal -1 binary64) y)))
(fma.f64 x (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (neg.f64 x) y))
(+.f64 (sqrt.f64 x) (*.f64 x (/.f64 #s(literal -1 binary64) y)))
(+.f64 (sqrt.f64 x) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (neg.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (- 1 x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 1 binary64))
(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
(pow.f64 (/.f64 (/.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- 1 x) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 #s(approx (- 1 x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 1 binary64)) y)
(/.f64 (neg.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))))
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 #s(approx (- 1 x) #s(literal 1 binary64))) y))
(neg.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (neg.f64 (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 x))))
(/.f64 (fabs.f64 (sqrt.f64 #s(literal -1 binary64))) (fabs.f64 (sqrt.f64 (neg.f64 x))))
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
(fabs.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(fabs.f64 (pow.f64 x #s(literal -1/2 binary64)))
(exp.f64 (/.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)))
(+.f64 (cosh.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x))) (sinh.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x))))

eval92.0ms (1.9%)

Memory
31.8MiB live, 197.6MiB allocated
Compiler

Compiled 13 741 to 1 877 computations (86.3% saved)

prune46.0ms (0.9%)

Memory
-40.8MiB live, 44.6MiB allocated
Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New4832485
Fresh268
Picked145
Done011
Total48613499
Accuracy
100.0%
Counts
499 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x))
67.6%
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
▶69.3%
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
▶55.5%
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (*.f64 (-.f64 x (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))) y) (-.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))
32.7%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 x #s(literal -1 binary64)))
✓63.5%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶60.9%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
✓69.3%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) y))
✓54.0%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (sqrt x) (/ (- 1 x) y)) (*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x)) y))
▶31.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓32.8%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
62.8%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (sqrt x) (/ (- 1 x) y)) y) (*.f64 (*.f64 y x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)))))
✓38.6%
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (sqrt.f64 x) y))
Compiler

Compiled 372 to 252 computations (32.3% saved)

simplify98.0ms (2%)

Memory
26.8MiB live, 139.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))
cost-diff0
(*.f64 (-.f64 x (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))) y)
cost-diff0
(/.f64 (*.f64 (-.f64 x (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))) y) (-.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (*.f64 (-.f64 x (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))) y) (-.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff0
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
cost-diff0
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
cost-diff0
#s(approx (- 1 x) #s(literal 1 binary64))
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (- 1 x) (neg.f64 x))
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
cost-diff0
(*.f64 (sqrt.f64 (sqrt.f64 x)) y)
cost-diff0
(sqrt.f64 x)
cost-diff0
(sqrt.f64 (sqrt.f64 x))
cost-diff2240
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031234
051234
184230
2176230
3458230
41496230
54697230
08457226
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
x
(*.f64 (sqrt.f64 (sqrt.f64 x)) y)
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
(sqrt.f64 x)
x
y
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(literal -1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (*.f64 (-.f64 x (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))) y) (-.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))
(/.f64 (*.f64 (-.f64 x (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))) y) (-.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))
(*.f64 (-.f64 x (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))) y)
(-.f64 x (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))
x
(pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
y
#s(literal 2 binary64)
(-.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
(sqrt.f64 x)
Outputs
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
x
(*.f64 (sqrt.f64 (sqrt.f64 x)) y)
(*.f64 y (sqrt.f64 (sqrt.f64 x)))
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
(fma.f64 y (sqrt.f64 x) #s(approx (- 1 x) #s(literal 1 binary64)))
(sqrt.f64 x)
x
y
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(literal -1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (*.f64 (-.f64 x (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))) y) (-.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))
(/.f64 (*.f64 (-.f64 x (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))) y) (-.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))
(*.f64 (-.f64 x (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))) y)
(-.f64 x (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))
x
(pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
y
#s(literal 2 binary64)
(-.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
(sqrt.f64 x)

localize86.0ms (1.8%)

Memory
-11.5MiB live, 151.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.22265625
(pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))
accuracy7.716398798058037
(*.f64 (-.f64 x (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))) y)
accuracy16.81313900185561
(/.f64 (*.f64 (-.f64 x (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))) y) (-.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))
accuracy31.102637740806813
#s(approx (- 1 x) #s(literal 1 binary64))
accuracy0.08203125
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
accuracy0.109375
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy4.38043366503214
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
accuracy20.66696770636694
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
accuracy0
(sqrt.f64 x)
accuracy0.05859375
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy31.102637740806813
#s(approx (- 1 x) #s(literal 1 binary64))
accuracy0
(neg.f64 x)
accuracy23.333083657497383
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
accuracy32.95450867318175
#s(approx (- 1 x) (neg.f64 x))
accuracy0
(sqrt.f64 x)
accuracy0.10546875
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x))
accuracy0.10546875
(sqrt.f64 (sqrt.f64 x))
accuracy0.28125
(*.f64 (sqrt.f64 (sqrt.f64 x)) y)
Samples
64.0ms256×0valid
Compiler

Compiled 409 to 61 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 11.0ms (30.4% of total)
ival-div: 7.0ms (19.3% of total)
ival-add: 5.0ms (13.8% of total)
ival-sqrt: 5.0ms (13.8% of total)
ival-sub: 4.0ms (11% of total)
ival-pow2: 3.0ms (8.3% of total)
ival-neg: 1.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series80.0ms (1.6%)

Memory
2.4MiB live, 121.5MiB allocated
Counts
18 → 87
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 (sqrt.f64 (sqrt.f64 x)) y)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (*.f64 (-.f64 x (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))) y) (-.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))
(/.f64 (*.f64 (-.f64 x (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))) y) (-.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))
(*.f64 (-.f64 x (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))) y)
(-.f64 x (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))
Outputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(pow (* 1 x) 1/4)
(sqrt x)
(* (pow (* 1 x) 1/4) y)
1
(+ 1 (* -1 x))
(* -1 x)
(* (sqrt x) y)
(+ (* -1 x) (* (sqrt x) y))
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(sqrt (/ 1 x))
(/ -1 (* y (- (sqrt x) (/ 1 y))))
(- (* x (+ (/ 1 (* (pow y 2) (pow (- (sqrt x) (/ 1 y)) 2))) (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (sqrt x) (/ 1 y))))) (/ 1 (* y (- (sqrt x) (/ 1 y)))))
(- (* x (+ (* -1 (* x (+ (* 2 (/ 1 (* (pow y 2) (pow (- (sqrt x) (/ 1 y)) 2)))) (+ (/ 1 (* y (- (sqrt x) (/ 1 y)))) (+ (/ 1 (* (pow y 3) (pow (- (sqrt x) (/ 1 y)) 3))) (/ 1 (pow (- (sqrt x) (/ 1 y)) 2))))))) (+ (/ 1 (* (pow y 2) (pow (- (sqrt x) (/ 1 y)) 2))) (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (sqrt x) (/ 1 y)))))) (/ 1 (* y (- (sqrt x) (/ 1 y)))))
(- (* x (+ (* x (- (/ (* x (+ (* 2 (/ 1 (* (pow y 2) (pow (- (sqrt x) (/ 1 y)) 2)))) (+ (/ 1 (* y (- (sqrt x) (/ 1 y)))) (+ (/ 1 (* (pow y 3) (pow (- (sqrt x) (/ 1 y)) 3))) (/ 1 (pow (- (sqrt x) (/ 1 y)) 2)))))) (* y (- (sqrt x) (/ 1 y)))) (+ (* 2 (/ 1 (* (pow y 2) (pow (- (sqrt x) (/ 1 y)) 2)))) (+ (/ 1 (* y (- (sqrt x) (/ 1 y)))) (+ (/ 1 (* (pow y 3) (pow (- (sqrt x) (/ 1 y)) 3))) (/ 1 (pow (- (sqrt x) (/ 1 y)) 2))))))) (+ (/ 1 (* (pow y 2) (pow (- (sqrt x) (/ 1 y)) 2))) (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (sqrt x) (/ 1 y)))))) (/ 1 (* y (- (sqrt x) (/ 1 y)))))
(/ -1 y)
(- (* x (* y (+ 1 (* 2 (/ 1 (pow y 2)))))) (/ 1 y))
(- (* x (+ (* -1 (/ x y)) (* y (+ 1 (* 2 (/ 1 (pow y 2))))))) (/ 1 y))
(/ -1 (pow y 2))
(- (* x (+ 1 (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2)))
(- (* x (+ 1 (+ (* -1 (/ x (pow y 2))) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2)))
(/ 1 (pow y 2))
(+ (* -2 (/ x (pow y 2))) (/ 1 (pow y 2)))
(+ (* x (- (/ x (pow y 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2)))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (/ 1 x) 1))
(- (* (sqrt (/ 1 x)) y) 1)
(* -1 (/ x (* y (+ (sqrt (/ 1 x)) (/ 1 y)))))
(* x (- (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (* x (+ (sqrt (/ 1 x)) (/ 1 y)))) (+ (/ 1 (* x (* (pow y 2) (pow (+ (sqrt (/ 1 x)) (/ 1 y)) 2)))) (/ 1 (* y (+ (sqrt (/ 1 x)) (/ 1 y)))))))
(* x (- (+ (* -1 (/ (+ (* -1 (/ (- (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (+ (sqrt (/ 1 x)) (/ 1 y))) (/ 1 (* (pow y 2) (pow (+ (sqrt (/ 1 x)) (/ 1 y)) 2)))) (* y (+ (sqrt (/ 1 x)) (/ 1 y))))) (/ 1 (* y (+ (sqrt (/ 1 x)) (/ 1 y))))) (pow x 2))) (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (* x (+ (sqrt (/ 1 x)) (/ 1 y))))) (+ (/ 1 (* x (* (pow y 2) (pow (+ (sqrt (/ 1 x)) (/ 1 y)) 2)))) (/ 1 (* y (+ (sqrt (/ 1 x)) (/ 1 y)))))))
(* x (- (+ (* -1 (/ (+ (* -1 (/ (- (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (+ (sqrt (/ 1 x)) (/ 1 y))) (/ 1 (* (pow y 2) (pow (+ (sqrt (/ 1 x)) (/ 1 y)) 2)))) (* (pow y 2) (pow (+ (sqrt (/ 1 x)) (/ 1 y)) 2)))) (/ 1 (* (pow y 2) (pow (+ (sqrt (/ 1 x)) (/ 1 y)) 2)))) (pow x 3))) (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (* x (+ (sqrt (/ 1 x)) (/ 1 y))))) (+ (* -1 (/ (- (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (+ (sqrt (/ 1 x)) (/ 1 y))) (/ 1 (* (pow y 2) (pow (+ (sqrt (/ 1 x)) (/ 1 y)) 2)))) (* (pow x 2) (* y (+ (sqrt (/ 1 x)) (/ 1 y)))))) (+ (/ 1 (* x (* (pow y 2) (pow (+ (sqrt (/ 1 x)) (/ 1 y)) 2)))) (+ (/ 1 (* y (+ (sqrt (/ 1 x)) (/ 1 y)))) (/ 1 (* (pow x 2) (* y (+ (sqrt (/ 1 x)) (/ 1 y))))))))))
(* -1 (/ (pow x 2) y))
(* (pow x 2) (- (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) x) (/ 1 y)))
(* (pow x 2) (- (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))))
(* -1 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (+ (/ 1 x) (/ 2 (* x (pow y 2)))) (/ 1 (pow y 2))))
(* (pow x 2) (- (+ (/ 1 x) (/ 2 (* x (pow y 2)))) (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (pow y 2)))))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (- (/ 1 (pow y 2)) (* 2 (/ 1 (* x (pow y 2))))))
(* (pow x 2) (- (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (pow y 2))) (/ 2 (* x (pow y 2)))))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* (pow (* -1 x) 1/4) (* y (sqrt (sqrt -1))))
(* -1 (* x (- 1 (/ 1 x))))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(/ x (* y (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))
(* -1 (* x (- (+ (/ 1 (* x (* (pow y 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) 2)))) (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))) (/ 1 (* y (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (+ (/ 1 (* (pow y 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) 2))) (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))) (/ 1 (* x (* y (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))) (* -1 (/ (+ (/ 1 (* (pow y 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) 2))) (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))) (* x (* y (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))))) x)) (/ 1 (* y (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (+ (/ 1 (* (pow y 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) 2))) (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))) (* -1 (/ (- (+ (* -1 (- (/ 1 (* y (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))) (* -1 (/ (+ (/ 1 (* (pow y 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) 2))) (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))) (* y (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))))) (/ 1 (* x (* (pow y 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) 2))))) (* -1 (/ (+ (/ 1 (* (pow y 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) 2))) (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))) (* x (* (pow y 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) 2)))))) x))) x)) (/ 1 (* y (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))))
(* (pow x 2) (- (* -1 (/ (+ (* -1 (* y (+ 1 (* 2 (/ 1 (pow y 2)))))) (/ 1 (* x y))) x)) (/ 1 y)))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (+ 1 (* 2 (/ 1 (pow y 2))))) x)) (/ 1 (pow y 2))))
(* (pow x 2) (+ (* -1 (/ (- (* 2 (/ 1 (pow y 2))) (/ 1 (* x (pow y 2)))) x)) (/ 1 (pow y 2))))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
-1
(* -1 (/ (pow (- 1 x) 2) (- x 1)))
(+ (* -1 (/ (pow (- 1 x) 2) (- x 1))) (* (sqrt x) (/ (* y (pow (- 1 x) 2)) (pow (- x 1) 2))))
(+ (* -1 (/ (pow (- 1 x) 2) (- x 1))) (* y (- (* y (- (/ x (- x 1)) (/ (* x (pow (- 1 x) 2)) (pow (- x 1) 3)))) (* -1 (* (sqrt x) (/ (pow (- 1 x) 2) (pow (- x 1) 2)))))))
(+ (* -1 (/ (pow (- 1 x) 2) (- x 1))) (* y (- (* y (- (+ (* -1 (* (sqrt x) (/ (* y (- (/ x (- x 1)) (/ (* x (pow (- 1 x) 2)) (pow (- x 1) 3)))) (- x 1)))) (/ x (- x 1))) (/ (* x (pow (- 1 x) 2)) (pow (- x 1) 3)))) (* -1 (* (sqrt x) (/ (pow (- 1 x) 2) (pow (- x 1) 2)))))))
(* -1 (/ (pow (- 1 x) 2) y))
(/ (+ (* -1 (pow (- 1 x) 2)) (* x (pow y 2))) y)
(* -1 (/ (pow (- 1 x) 2) (pow y 2)))
(/ (- (* x (pow y 2)) (pow (- 1 x) 2)) (pow y 2))
(/ (pow (- 1 x) 2) (pow y 2))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* y (- (+ (sqrt x) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (/ 1 y))) (+ (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2))) (/ x y))))
(* y (- (+ (sqrt x) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- x 1) (- (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1))))) (pow y 3)))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (/ 1 y)))) (+ (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2))) (/ x y))))
(* x y)
(* y (+ x (* -1 (/ (pow (- 1 x) 2) (pow y 2)))))
x
(+ x (* -1 (/ (pow (- 1 x) 2) (pow y 2))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (- (+ (* -1 (sqrt x)) (/ x y)) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) y))) (* -1 (- x 1))) (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) y))) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1))))) y))) (* -1 (- (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1)))))) y))) y)))))
(* -1 (* y (+ (* -1 x) (/ (pow (- 1 x) 2) (pow y 2)))))
Calls

6 calls:

TimeVariablePointExpression
20.0ms
x
@0
((+ (* (sqrt (sqrt x)) (* (sqrt (sqrt x)) y)) (- 1 x)) (sqrt (sqrt x)) (sqrt x) (* (sqrt (sqrt x)) y) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (sqrt x) y) (- 1 x)) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (+ (- 1 x) (* y (sqrt x))) (/ (* (- x (pow (/ (- 1 x) y) 2)) y) (- (sqrt x) (/ (- 1 x) y))) (* (- x (pow (/ (- 1 x) y) 2)) y) (- x (pow (/ (- 1 x) y) 2)) (pow (/ (- 1 x) y) 2))
13.0ms
x
@-inf
((+ (* (sqrt (sqrt x)) (* (sqrt (sqrt x)) y)) (- 1 x)) (sqrt (sqrt x)) (sqrt x) (* (sqrt (sqrt x)) y) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (sqrt x) y) (- 1 x)) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (+ (- 1 x) (* y (sqrt x))) (/ (* (- x (pow (/ (- 1 x) y) 2)) y) (- (sqrt x) (/ (- 1 x) y))) (* (- x (pow (/ (- 1 x) y) 2)) y) (- x (pow (/ (- 1 x) y) 2)) (pow (/ (- 1 x) y) 2))
13.0ms
y
@-inf
((+ (* (sqrt (sqrt x)) (* (sqrt (sqrt x)) y)) (- 1 x)) (sqrt (sqrt x)) (sqrt x) (* (sqrt (sqrt x)) y) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (sqrt x) y) (- 1 x)) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (+ (- 1 x) (* y (sqrt x))) (/ (* (- x (pow (/ (- 1 x) y) 2)) y) (- (sqrt x) (/ (- 1 x) y))) (* (- x (pow (/ (- 1 x) y) 2)) y) (- x (pow (/ (- 1 x) y) 2)) (pow (/ (- 1 x) y) 2))
12.0ms
y
@0
((+ (* (sqrt (sqrt x)) (* (sqrt (sqrt x)) y)) (- 1 x)) (sqrt (sqrt x)) (sqrt x) (* (sqrt (sqrt x)) y) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (sqrt x) y) (- 1 x)) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (+ (- 1 x) (* y (sqrt x))) (/ (* (- x (pow (/ (- 1 x) y) 2)) y) (- (sqrt x) (/ (- 1 x) y))) (* (- x (pow (/ (- 1 x) y) 2)) y) (- x (pow (/ (- 1 x) y) 2)) (pow (/ (- 1 x) y) 2))
10.0ms
x
@inf
((+ (* (sqrt (sqrt x)) (* (sqrt (sqrt x)) y)) (- 1 x)) (sqrt (sqrt x)) (sqrt x) (* (sqrt (sqrt x)) y) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (sqrt x) y) (- 1 x)) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (+ (- 1 x) (* y (sqrt x))) (/ (* (- x (pow (/ (- 1 x) y) 2)) y) (- (sqrt x) (/ (- 1 x) y))) (* (- x (pow (/ (- 1 x) y) 2)) y) (- x (pow (/ (- 1 x) y) 2)) (pow (/ (- 1 x) y) 2))

simplify77.0ms (1.6%)

Memory
20.7MiB live, 59.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03612358
012012320
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
Counts
87 → 86
Calls
Call 1
Inputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(pow (* 1 x) 1/4)
(sqrt x)
(* (pow (* 1 x) 1/4) y)
1
(+ 1 (* -1 x))
(* -1 x)
(* (sqrt x) y)
(+ (* -1 x) (* (sqrt x) y))
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(sqrt (/ 1 x))
(/ -1 (* y (- (sqrt x) (/ 1 y))))
(- (* x (+ (/ 1 (* (pow y 2) (pow (- (sqrt x) (/ 1 y)) 2))) (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (sqrt x) (/ 1 y))))) (/ 1 (* y (- (sqrt x) (/ 1 y)))))
(- (* x (+ (* -1 (* x (+ (* 2 (/ 1 (* (pow y 2) (pow (- (sqrt x) (/ 1 y)) 2)))) (+ (/ 1 (* y (- (sqrt x) (/ 1 y)))) (+ (/ 1 (* (pow y 3) (pow (- (sqrt x) (/ 1 y)) 3))) (/ 1 (pow (- (sqrt x) (/ 1 y)) 2))))))) (+ (/ 1 (* (pow y 2) (pow (- (sqrt x) (/ 1 y)) 2))) (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (sqrt x) (/ 1 y)))))) (/ 1 (* y (- (sqrt x) (/ 1 y)))))
(- (* x (+ (* x (- (/ (* x (+ (* 2 (/ 1 (* (pow y 2) (pow (- (sqrt x) (/ 1 y)) 2)))) (+ (/ 1 (* y (- (sqrt x) (/ 1 y)))) (+ (/ 1 (* (pow y 3) (pow (- (sqrt x) (/ 1 y)) 3))) (/ 1 (pow (- (sqrt x) (/ 1 y)) 2)))))) (* y (- (sqrt x) (/ 1 y)))) (+ (* 2 (/ 1 (* (pow y 2) (pow (- (sqrt x) (/ 1 y)) 2)))) (+ (/ 1 (* y (- (sqrt x) (/ 1 y)))) (+ (/ 1 (* (pow y 3) (pow (- (sqrt x) (/ 1 y)) 3))) (/ 1 (pow (- (sqrt x) (/ 1 y)) 2))))))) (+ (/ 1 (* (pow y 2) (pow (- (sqrt x) (/ 1 y)) 2))) (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (sqrt x) (/ 1 y)))))) (/ 1 (* y (- (sqrt x) (/ 1 y)))))
(/ -1 y)
(- (* x (* y (+ 1 (* 2 (/ 1 (pow y 2)))))) (/ 1 y))
(- (* x (+ (* -1 (/ x y)) (* y (+ 1 (* 2 (/ 1 (pow y 2))))))) (/ 1 y))
(/ -1 (pow y 2))
(- (* x (+ 1 (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2)))
(- (* x (+ 1 (+ (* -1 (/ x (pow y 2))) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2)))
(/ 1 (pow y 2))
(+ (* -2 (/ x (pow y 2))) (/ 1 (pow y 2)))
(+ (* x (- (/ x (pow y 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2)))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (/ 1 x) 1))
(- (* (sqrt (/ 1 x)) y) 1)
(* -1 (/ x (* y (+ (sqrt (/ 1 x)) (/ 1 y)))))
(* x (- (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (* x (+ (sqrt (/ 1 x)) (/ 1 y)))) (+ (/ 1 (* x (* (pow y 2) (pow (+ (sqrt (/ 1 x)) (/ 1 y)) 2)))) (/ 1 (* y (+ (sqrt (/ 1 x)) (/ 1 y)))))))
(* x (- (+ (* -1 (/ (+ (* -1 (/ (- (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (+ (sqrt (/ 1 x)) (/ 1 y))) (/ 1 (* (pow y 2) (pow (+ (sqrt (/ 1 x)) (/ 1 y)) 2)))) (* y (+ (sqrt (/ 1 x)) (/ 1 y))))) (/ 1 (* y (+ (sqrt (/ 1 x)) (/ 1 y))))) (pow x 2))) (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (* x (+ (sqrt (/ 1 x)) (/ 1 y))))) (+ (/ 1 (* x (* (pow y 2) (pow (+ (sqrt (/ 1 x)) (/ 1 y)) 2)))) (/ 1 (* y (+ (sqrt (/ 1 x)) (/ 1 y)))))))
(* x (- (+ (* -1 (/ (+ (* -1 (/ (- (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (+ (sqrt (/ 1 x)) (/ 1 y))) (/ 1 (* (pow y 2) (pow (+ (sqrt (/ 1 x)) (/ 1 y)) 2)))) (* (pow y 2) (pow (+ (sqrt (/ 1 x)) (/ 1 y)) 2)))) (/ 1 (* (pow y 2) (pow (+ (sqrt (/ 1 x)) (/ 1 y)) 2)))) (pow x 3))) (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (* x (+ (sqrt (/ 1 x)) (/ 1 y))))) (+ (* -1 (/ (- (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (+ (sqrt (/ 1 x)) (/ 1 y))) (/ 1 (* (pow y 2) (pow (+ (sqrt (/ 1 x)) (/ 1 y)) 2)))) (* (pow x 2) (* y (+ (sqrt (/ 1 x)) (/ 1 y)))))) (+ (/ 1 (* x (* (pow y 2) (pow (+ (sqrt (/ 1 x)) (/ 1 y)) 2)))) (+ (/ 1 (* y (+ (sqrt (/ 1 x)) (/ 1 y)))) (/ 1 (* (pow x 2) (* y (+ (sqrt (/ 1 x)) (/ 1 y))))))))))
(* -1 (/ (pow x 2) y))
(* (pow x 2) (- (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) x) (/ 1 y)))
(* (pow x 2) (- (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))))
(* -1 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (+ (/ 1 x) (/ 2 (* x (pow y 2)))) (/ 1 (pow y 2))))
(* (pow x 2) (- (+ (/ 1 x) (/ 2 (* x (pow y 2)))) (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (pow y 2)))))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (- (/ 1 (pow y 2)) (* 2 (/ 1 (* x (pow y 2))))))
(* (pow x 2) (- (+ (/ 1 (* (pow x 2) (pow y 2))) (/ 1 (pow y 2))) (/ 2 (* x (pow y 2)))))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* (pow (* -1 x) 1/4) (* y (sqrt (sqrt -1))))
(* -1 (* x (- 1 (/ 1 x))))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(/ x (* y (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))
(* -1 (* x (- (+ (/ 1 (* x (* (pow y 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) 2)))) (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))) (/ 1 (* y (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (+ (/ 1 (* (pow y 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) 2))) (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))) (/ 1 (* x (* y (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))) (* -1 (/ (+ (/ 1 (* (pow y 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) 2))) (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))) (* x (* y (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))))) x)) (/ 1 (* y (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (+ (/ 1 (* (pow y 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) 2))) (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))) (* -1 (/ (- (+ (* -1 (- (/ 1 (* y (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))) (* -1 (/ (+ (/ 1 (* (pow y 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) 2))) (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))) (* y (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))))) (/ 1 (* x (* (pow y 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) 2))))) (* -1 (/ (+ (/ 1 (* (pow y 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) 2))) (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))) (* x (* (pow y 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) 2)))))) x))) x)) (/ 1 (* y (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))))
(* (pow x 2) (- (* -1 (/ (+ (* -1 (* y (+ 1 (* 2 (/ 1 (pow y 2)))))) (/ 1 (* x y))) x)) (/ 1 y)))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (+ 1 (* 2 (/ 1 (pow y 2))))) x)) (/ 1 (pow y 2))))
(* (pow x 2) (+ (* -1 (/ (- (* 2 (/ 1 (pow y 2))) (/ 1 (* x (pow y 2)))) x)) (/ 1 (pow y 2))))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
-1
(* -1 (/ (pow (- 1 x) 2) (- x 1)))
(+ (* -1 (/ (pow (- 1 x) 2) (- x 1))) (* (sqrt x) (/ (* y (pow (- 1 x) 2)) (pow (- x 1) 2))))
(+ (* -1 (/ (pow (- 1 x) 2) (- x 1))) (* y (- (* y (- (/ x (- x 1)) (/ (* x (pow (- 1 x) 2)) (pow (- x 1) 3)))) (* -1 (* (sqrt x) (/ (pow (- 1 x) 2) (pow (- x 1) 2)))))))
(+ (* -1 (/ (pow (- 1 x) 2) (- x 1))) (* y (- (* y (- (+ (* -1 (* (sqrt x) (/ (* y (- (/ x (- x 1)) (/ (* x (pow (- 1 x) 2)) (pow (- x 1) 3)))) (- x 1)))) (/ x (- x 1))) (/ (* x (pow (- 1 x) 2)) (pow (- x 1) 3)))) (* -1 (* (sqrt x) (/ (pow (- 1 x) 2) (pow (- x 1) 2)))))))
(* -1 (/ (pow (- 1 x) 2) y))
(/ (+ (* -1 (pow (- 1 x) 2)) (* x (pow y 2))) y)
(* -1 (/ (pow (- 1 x) 2) (pow y 2)))
(/ (- (* x (pow y 2)) (pow (- 1 x) 2)) (pow y 2))
(/ (pow (- 1 x) 2) (pow y 2))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* y (- (+ (sqrt x) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (/ 1 y))) (+ (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2))) (/ x y))))
(* y (- (+ (sqrt x) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- x 1) (- (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1))))) (pow y 3)))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (/ 1 y)))) (+ (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2))) (/ x y))))
(* x y)
(* y (+ x (* -1 (/ (pow (- 1 x) 2) (pow y 2)))))
x
(+ x (* -1 (/ (pow (- 1 x) 2) (pow y 2))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (- (+ (* -1 (sqrt x)) (/ x y)) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) y))) (* -1 (- x 1))) (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) y))) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1))))) y))) (* -1 (- (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1)))))) y))) y)))))
(* -1 (* y (+ (* -1 x) (/ (pow (- 1 x) 2) (pow y 2)))))
Outputs
(+ 1 (* (sqrt x) y))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(sqrt x)
(sqrt.f64 x)
(* (pow (* 1 x) 1/4) y)
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(+ (* -1 x) (* (sqrt x) y))
(fma.f64 (sqrt.f64 x) y (neg.f64 x))
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(/.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) x)
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ -1 (* y (- (sqrt x) (/ 1 y))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(- (* x (+ (/ 1 (* (pow y 2) (pow (- (sqrt x) (/ 1 y)) 2))) (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (sqrt x) (/ 1 y))))) (/ 1 (* y (- (sqrt x) (/ 1 y)))))
(fma.f64 (fma.f64 y (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))) x (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))))
(- (* x (+ (* -1 (* x (+ (* 2 (/ 1 (* (pow y 2) (pow (- (sqrt x) (/ 1 y)) 2)))) (+ (/ 1 (* y (- (sqrt x) (/ 1 y)))) (+ (/ 1 (* (pow y 3) (pow (- (sqrt x) (/ 1 y)) 3))) (/ 1 (pow (- (sqrt x) (/ 1 y)) 2))))))) (+ (/ 1 (* (pow y 2) (pow (- (sqrt x) (/ 1 y)) 2))) (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (sqrt x) (/ 1 y)))))) (/ 1 (* y (- (sqrt x) (/ 1 y)))))
(fma.f64 (fma.f64 (neg.f64 x) (+.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (*.f64 y y)))) (fma.f64 y (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))) x (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))))
(- (* x (+ (* x (- (/ (* x (+ (* 2 (/ 1 (* (pow y 2) (pow (- (sqrt x) (/ 1 y)) 2)))) (+ (/ 1 (* y (- (sqrt x) (/ 1 y)))) (+ (/ 1 (* (pow y 3) (pow (- (sqrt x) (/ 1 y)) 3))) (/ 1 (pow (- (sqrt x) (/ 1 y)) 2)))))) (* y (- (sqrt x) (/ 1 y)))) (+ (* 2 (/ 1 (* (pow y 2) (pow (- (sqrt x) (/ 1 y)) 2)))) (+ (/ 1 (* y (- (sqrt x) (/ 1 y)))) (+ (/ 1 (* (pow y 3) (pow (- (sqrt x) (/ 1 y)) 3))) (/ 1 (pow (- (sqrt x) (/ 1 y)) 2))))))) (+ (/ 1 (* (pow y 2) (pow (- (sqrt x) (/ 1 y)) 2))) (/ (* y (+ 1 (* 2 (/ 1 (pow y 2))))) (- (sqrt x) (/ 1 y)))))) (/ 1 (* y (- (sqrt x) (/ 1 y)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 x y) (/.f64 (+.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (*.f64 y y)))) (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (*.f64 y y)))))) x (fma.f64 y (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))) x (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(- (* x (* y (+ 1 (* 2 (/ 1 (pow y 2)))))) (/ 1 y))
(-.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) y))
(- (* x (+ (* -1 (/ x y)) (* y (+ 1 (* 2 (/ 1 (pow y 2))))))) (/ 1 y))
(-.f64 (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) y (/.f64 (neg.f64 x) y)) x) (/.f64 #s(literal 1 binary64) y))
(/ -1 (pow y 2))
(/.f64 #s(literal -1 binary64) (*.f64 y y))
(- (* x (+ 1 (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2)))
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(- (* x (+ 1 (+ (* -1 (/ x (pow y 2))) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2)))
(-.f64 (*.f64 (+.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y y))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(+ (* -2 (/ x (pow y 2))) (/ 1 (pow y 2)))
(fma.f64 #s(literal -2 binary64) (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(+ (* x (- (/ x (pow y 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2)))
(fma.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 2 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x)
(* x (- (/ 1 x) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(- (* (sqrt (/ 1 x)) y) 1)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
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(fma.f64 (fma.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (/.f64 (-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))) (-.f64 x #s(literal 1 binary64)))) (-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))))) y (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (sqrt.f64 x)))) y (/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 x #s(literal 1 binary64))))
(* -1 (/ (pow (- 1 x) 2) y))
(/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) y)
(/ (+ (* -1 (pow (- 1 x) 2)) (* x (pow y 2))) y)
(/.f64 (fma.f64 (*.f64 y y) x (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) y)
(* -1 (/ (pow (- 1 x) 2) (pow y 2)))
(/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (*.f64 y y))
(/ (- (* x (pow y 2)) (pow (- 1 x) 2)) (pow y 2))
(/.f64 (fma.f64 (*.f64 y y) x (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (*.f64 y y))
(/ (pow (- 1 x) 2) (pow y 2))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 y y))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y)
(* y (+ (sqrt x) (* -1 (/ x y))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (sqrt.f64 x)) y)
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) y)
(* y (- (+ (sqrt x) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (/ 1 y))) (+ (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2))) (/ x y))))
(*.f64 (-.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (fma.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (*.f64 y y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 x y))) y)
(* y (- (+ (sqrt x) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- x 1) (- (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1))))) (pow y 3)))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (/ 1 y)))) (+ (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2))) (/ x y))))
(*.f64 (-.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)) (fma.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (*.f64 y y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 x y))) y)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (/ (pow (- 1 x) 2) (pow y 2)))))
(*.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 y y)) #s(literal -1 binary64) x) y)
x
(+ x (* -1 (/ (pow (- 1 x) 2) (pow y 2))))
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 y y)) #s(literal -1 binary64) x)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) y))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (/.f64 x y)) y))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y))
(* -1 (* y (- (+ (* -1 (sqrt x)) (/ x y)) (/ 1 y))))
(neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) y))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) y))) (* -1 (- x 1))) (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) y))) y)))))
(neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) y))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1))))) y))) (* -1 (- (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1)))))) y))) y)))))
(neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) y)) (neg.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))))) y) #s(literal -1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64)))) y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) y))
(* -1 (* y (+ (* -1 x) (/ (pow (- 1 x) 2) (pow y 2)))))
(neg.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 y y)) (neg.f64 x)) y))

rewrite257.0ms (5.2%)

Memory
-9.9MiB live, 107.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031187
051187
1201155
21545155
08286151
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 537
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 (sqrt.f64 (sqrt.f64 x)) y)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (*.f64 (-.f64 x (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))) y) (-.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))
(/.f64 (*.f64 (-.f64 x (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))) y) (-.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))
(*.f64 (-.f64 x (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))) y)
(-.f64 x (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))
Outputs
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 y y) x)) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 (*.f64 y y) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) (*.f64 (*.f64 y y) x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 (*.f64 y y) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) (*.f64 (*.f64 y y) x)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 y y) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))) (fma.f64 (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))) (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))) (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (neg.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 1/4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (*.f64 y (pow.f64 x #s(literal 1/4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (*.f64 y (pow.f64 x #s(literal 1/4 binary64)))) (*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (*.f64 y (pow.f64 x #s(literal 1/4 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (*.f64 y (pow.f64 x #s(literal 1/4 binary64))))))))
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(fabs.f64 (neg.f64 (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64)))))

eval165.0ms (3.4%)

Memory
2.6MiB live, 163.8MiB allocated
Compiler

Compiled 27 007 to 3 132 computations (88.4% saved)

prune40.0ms (0.8%)

Memory
-22.5MiB live, 60.4MiB allocated
Pruning

12 alts after pruning (5 fresh and 7 done)

PrunedKeptTotal
New7303733
Fresh123
Picked235
Done145
Total73412746
Accuracy
100.0%
Counts
746 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x))
67.6%
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓69.3%
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
60.9%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
35.8%
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 #s(approx (* (- x (pow (/ (- 1 x) y) 2)) y) (*.f64 y x)) (-.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))
32.7%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 x #s(literal -1 binary64)))
✓63.5%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
✓69.3%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) y))
31.9%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
✓31.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓32.8%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
✓38.6%
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (sqrt.f64 x) y))
Compiler

Compiled 714 to 254 computations (64.4% saved)

regimes63.0ms (1.3%)

Memory
11.1MiB live, 47.5MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 x #s(literal -1 binary64)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 #s(approx (* (- x (pow (/ (- 1 x) y) 2)) y) (*.f64 y x)) (-.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (sqrt x) (/ (- 1 x) y)) y) (*.f64 (*.f64 y x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (sqrt x) (/ (- 1 x) y)) (*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) x)) y))
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (/.f64 x (-.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (/.f64 (*.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (-.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) y))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (*.f64 (-.f64 x (pow.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 2 binary64))) y) (-.f64 (sqrt.f64 x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (*.f64 (-.f64 x (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64))) y) (-.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y x) y)) (*.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y x) y)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
Outputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
Calls

3 calls:

47.0ms
x
7.0ms
y
7.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes10.0ms (0.2%)

Memory
21.6MiB live, 21.6MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 x #s(literal -1 binary64)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
Calls

3 calls:

3.0ms
x
3.0ms
y
3.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Results
AccuracySegmentsBranch
98.8%2x
98.0%3y
98.6%2(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes21.0ms (0.4%)

Memory
-19.7MiB live, 19.0MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 x #s(literal -1 binary64)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
Calls

3 calls:

15.0ms
x
3.0ms
y
3.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Results
AccuracySegmentsBranch
97.1%3y
81.8%3(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
83.0%2x
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes3.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 x #s(literal -1 binary64)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (sqrt.f64 x) y))
Outputs
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (sqrt.f64 x) y))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
96.4%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory
16.5MiB live, 16.5MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 x #s(literal -1 binary64)))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Results
AccuracySegmentsBranch
63.5%1(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
63.5%1x
63.5%1y
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes28.0ms (0.6%)

Memory
-24.9MiB live, 13.5MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
Calls

3 calls:

25.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
62.5%2x
40.2%4y
62.9%2(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.1%)

Memory
10.6MiB live, 10.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
32.8%1y
32.8%1x
32.8%1(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch41.0ms (0.8%)

Memory
-17.5MiB live, 26.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
40.0ms
4.475292167459682e-5
15.15600615124336
Samples
7.0ms144×0valid
Compiler

Compiled 227 to 201 computations (11.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 1.0ms (27.2% of total)
ival-add: 1.0ms (27.2% of total)
ival-mult: 1.0ms (27.2% of total)
ival-sqrt: 1.0ms (27.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch43.0ms (0.9%)

Memory
13.7MiB live, 51.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
28.0ms
3.858491121138259e+37
7.807139990751679e+42
12.0ms
-5.5061760070649655e+51
-7.501033204674093e+45
Samples
29.0ms288×0valid
Compiler

Compiled 479 to 426 computations (11.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 2.0ms (27.2% of total)
ival-mult: 2.0ms (27.2% of total)
ival-sqrt: 2.0ms (27.2% of total)
ival-add: 1.0ms (13.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch31.0ms (0.6%)

Memory
9.1MiB live, 47.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
2.088874970114661e+92
7.730164946899551e+96
9.0ms
-2.5023654866320947e+103
-7.601593156744718e+101
Samples
11.0ms240×0valid
Compiler

Compiled 386 to 342 computations (11.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (32.5% of total)
ival-sqrt: 2.0ms (32.5% of total)
ival-sub: 1.0ms (16.3% of total)
ival-add: 1.0ms (16.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-135.37347883995378
0.9999552470783254
Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify46.0ms (0.9%)

Memory
-34.4MiB live, 92.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042195
154195
272195
3106195
4150195
5187195
6212195
7220195
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))))
(if (<=.f64 y #s(literal -10799999999999999368143781487806893324922519552 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 6799999999999999500561820675419055457304576 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -799999999999999981639610612196269302757474175939320004903996779785594761744631929042609035585209237504 binary64)) #s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal 3499999999999999978132405555192858121159549124299925811366231264215562785927507876424938684416 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (sqrt.f64 x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal -100 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
Outputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))))
(if (<=.f64 y #s(literal -10799999999999999368143781487806893324922519552 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 6799999999999999500561820675419055457304576 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -799999999999999981639610612196269302757474175939320004903996779785594761744631929042609035585209237504 binary64)) #s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal 3499999999999999978132405555192858121159549124299925811366231264215562785927507876424938684416 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (sqrt.f64 x) y))))
(if (<=.f64 y #s(literal -799999999999999981639610612196269302757474175939320004903996779785594761744631929042609035585209237504 binary64)) #s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 y (sqrt.f64 x))) (if (<=.f64 y #s(literal 3499999999999999978132405555192858121159549124299925811366231264215562785927507876424938684416 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 y (sqrt.f64 x)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal -100 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) #s(literal -100 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

soundness198.0ms (4%)

Memory
15.3MiB live, 251.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
01117
15017
239717
3587617
0894716
05103245
017793043
052153
0151147
Stop Event
1×fuel
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 298 to 129 computations (56.7% saved)

preprocess46.0ms (0.9%)

Memory
1.9MiB live, 121.7MiB allocated
Compiler

Compiled 406 to 98 computations (75.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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