Data.Spline.Key:interpolateKeys from smoothie-0.4.0.2

Time bar (total: 3.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample935.0ms (25.3%)

Memory
44.0MiB live, 1 415.4MiB allocated; 258ms collecting garbage
Samples
477.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 281.0ms
ival-mult: 214.0ms (76% of total)
ival-sub: 50.0ms (17.8% of total)
exact: 7.0ms (2.5% of total)
ival-true: 5.0ms (1.8% of total)
ival-assert: 3.0ms (1.1% of total)
adjust: 2.0ms (0.7% of total)
Bogosity

explain143.0ms (3.9%)

Memory
-7.2MiB live, 186.2MiB allocated; 9ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
00-0-(*.f64 x #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-#s(literal 3 binary64)
00-0-(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
00-0-(*.f64 x x)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
25.0ms512×0valid
Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 9.0ms (71.6% of total)
ival-sub: 2.0ms (15.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess130.0ms (3.5%)

Memory
-5.0MiB live, 89.8MiB allocated; 8ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
13318
213218
336118
480618
5134118
6147918
7187518
8240518
9298318
10317818
11333418
12333418
079
0119
1239
2719
32239
45179
59589
612779
716789
822289
928129
1030209
1131769
1231769
031768
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Outputs
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify0.0ms (0%)

Memory
0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

series4.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Counts
7 → 13
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 x x)
x
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
#s(literal 3 binary64)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(pow x 2)
x
3
(+ 3 (* -2 x))
(* 2 x)
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((* (* x x) (- 3 (* x 2))) (* x x) x (- 3 (* x 2)) 3 (* x 2) 2)
1.0ms
x
@-inf
((* (* x x) (- 3 (* x 2))) (* x x) x (- 3 (* x 2)) 3 (* x 2) 2)
1.0ms
x
@0
((* (* x x) (- 3 (* x 2))) (* x x) x (- 3 (* x 2)) 3 (* x 2) 2)

simplify234.0ms (6.3%)

Memory
-4.2MiB live, 227.2MiB allocated; 35ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02465
16365
217265
360365
4227165
5529165
0842260
Stop Event
iter limit
node limit
Counts
13 → 12
Calls
Call 1
Inputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(pow x 2)
x
3
(+ 3 (* -2 x))
(* 2 x)
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
Outputs
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(pow x 2)
(*.f64 x x)
x
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* 3 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))

rewrite169.0ms (4.6%)

Memory
7.3MiB live, 295.7MiB allocated; 57ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
01123
13823
223023
3178723
0898921
Stop Event
iter limit
node limit
iter limit
Counts
7 → 318
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 x x)
x
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
#s(literal 3 binary64)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))))) (/.f64 x (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (/.f64 x (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)))) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (/.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))))) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)))) (/.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))))
(*.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(*.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))))) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))))
(*.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))
(*.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)))) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(*.f64 (/.f64 x (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))))
(*.f64 (/.f64 x (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))))) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))))
(*.f64 (/.f64 x (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))
(*.f64 (/.f64 x (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)))) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 2 binary64)))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (+.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 3 binary64)) #s(literal 729 binary64))) (fma.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) (-.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 9 binary64)) #s(literal 81 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64))) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x))
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(*.f64 x (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x))) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (*.f64 x x))) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64) (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 8 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))))))
(/.f64 (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (*.f64 x x)) (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(/.f64 (*.f64 (*.f64 x x) (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64) (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))))))
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(+.f64 (/.f64 #s(literal 729 binary64) (*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 2 binary64)) #s(literal 81 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 2 binary64)) #s(literal 81 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))))
(+.f64 (+.f64 #s(literal 3 binary64) x) x)
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))))
(+.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 4 binary64) x)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(+.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(+.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(+.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))))
(+.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3/2 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3/2 binary64))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))
(+.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))
(+.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) x))
(+.f64 x (+.f64 x #s(literal 3 binary64)))
#s(literal 3 binary64)
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)))
(*.f64 (hypot.f64 x x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (hypot.f64 x x))
(*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) x)) (sqrt.f64 x))
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) x)
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) x)))
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (exp.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 x #s(literal -2 binary64))
(*.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (neg.f64 (-.f64 x x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (fabs.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (fabs.f64 (-.f64 x x)))
(/.f64 (fabs.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) x)
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x x)) (/.f64 (*.f64 x x) (-.f64 x x)))
(fabs.f64 (*.f64 #s(literal -2 binary64) x))
(exp.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(+.f64 (cosh.f64 (log.f64 (*.f64 #s(literal -2 binary64) x))) (sinh.f64 (log.f64 (*.f64 #s(literal -2 binary64) x))))
(+.f64 x x)
#s(literal 2 binary64)

eval41.0ms (1.1%)

Memory
8.6MiB live, 99.5MiB allocated; 9ms collecting garbage
Compiler

Compiled 9 064 to 1 143 computations (87.4% saved)

prune11.0ms (0.3%)

Memory
-12.2MiB live, 34.2MiB allocated; 3ms collecting garbage
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New3469355
Fresh000
Picked101
Done000
Total3479356
Accuracy
100.0%
Counts
356 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.9%
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
70.9%
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
99.8%
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
76.0%
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))))
52.6%
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))
99.8%
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
70.5%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
69.0%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
70.5%
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
Compiler

Compiled 266 to 182 computations (31.6% saved)

simplify0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

series9.0ms (0.2%)

Memory
23.1MiB live, 23.1MiB allocated; 0ms collecting garbage
Counts
19 → 33
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
(*.f64 x x)
x
(-.f64 (-.f64 #s(literal 3 binary64) x) x)
(-.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
#s(literal -2 binary64)
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))
(sqrt.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(pow.f64 x #s(literal 3 binary64))
Outputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(pow x 2)
x
3
(+ 3 (* -2 x))
(+ 3 (* -1 x))
(* 3 x)
(* x (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* x (pow (sqrt -2) 2))))
(+ 3 (* x (pow (sqrt -2) 2)))
(* (sqrt x) (sqrt -2))
(* -2 x)
(* -2 (pow x 3))
(pow x 3)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* -1 x)
(* x (- (* 3 (/ 1 x)) 1))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (pow (sqrt -2) 2))
(* (pow x 3) (+ (* 3 (/ 1 x)) (pow (sqrt -2) 2)))
(* x (pow (sqrt -2) 2))
(* x (+ (* 3 (/ 1 x)) (pow (sqrt -2) 2)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (pow (sqrt 2) 2)))
(* -1 (* (pow x 3) (- (pow (sqrt 2) 2) (* 3 (/ 1 x)))))
(* -1 (* x (pow (sqrt 2) 2)))
(* -1 (* x (- (pow (sqrt 2) 2) (* 3 (/ 1 x)))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 2))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((* (* x x) (- (- 3 x) x)) (* x x) x (- (- 3 x) x) (- 3 x) 3 (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) -2 (* (* x x) (+ (* (sqrt (* -2 x)) (sqrt (* -2 x))) 3)) (+ (* (sqrt (* -2 x)) (sqrt (* -2 x))) 3) (sqrt (* -2 x)) (* -2 x) (* (* x x) (- 3 (* x 2))) (* (pow x 3) -2) (pow x 3))
3.0ms
x
@0
((* (* x x) (- (- 3 x) x)) (* x x) x (- (- 3 x) x) (- 3 x) 3 (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) -2 (* (* x x) (+ (* (sqrt (* -2 x)) (sqrt (* -2 x))) 3)) (+ (* (sqrt (* -2 x)) (sqrt (* -2 x))) 3) (sqrt (* -2 x)) (* -2 x) (* (* x x) (- 3 (* x 2))) (* (pow x 3) -2) (pow x 3))
3.0ms
x
@inf
((* (* x x) (- (- 3 x) x)) (* x x) x (- (- 3 x) x) (- 3 x) 3 (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) -2 (* (* x x) (+ (* (sqrt (* -2 x)) (sqrt (* -2 x))) 3)) (+ (* (sqrt (* -2 x)) (sqrt (* -2 x))) 3) (sqrt (* -2 x)) (* -2 x) (* (* x x) (- 3 (* x 2))) (* (pow x 3) -2) (pow x 3))

simplify283.0ms (7.7%)

Memory
-57.7MiB live, 199.4MiB allocated; 142ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060174
1171172
2490172
31399172
43089172
56736172
08104158
Stop Event
iter limit
node limit
Counts
33 → 32
Calls
Call 1
Inputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(pow x 2)
x
3
(+ 3 (* -2 x))
(+ 3 (* -1 x))
(* 3 x)
(* x (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* x (pow (sqrt -2) 2))))
(+ 3 (* x (pow (sqrt -2) 2)))
(* (sqrt x) (sqrt -2))
(* -2 x)
(* -2 (pow x 3))
(pow x 3)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* -1 x)
(* x (- (* 3 (/ 1 x)) 1))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (pow (sqrt -2) 2))
(* (pow x 3) (+ (* 3 (/ 1 x)) (pow (sqrt -2) 2)))
(* x (pow (sqrt -2) 2))
(* x (+ (* 3 (/ 1 x)) (pow (sqrt -2) 2)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (pow (sqrt 2) 2)))
(* -1 (* (pow x 3) (- (pow (sqrt 2) 2) (* 3 (/ 1 x)))))
(* -1 (* x (pow (sqrt 2) 2)))
(* -1 (* x (- (pow (sqrt 2) 2) (* 3 (/ 1 x)))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 2))))
Outputs
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(pow x 2)
(*.f64 x x)
x
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(+ 3 (* -1 x))
(-.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* (pow x 2) (+ 3 (* x (pow (sqrt -2) 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(+ 3 (* x (pow (sqrt -2) 2)))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* (sqrt x) (sqrt -2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -2 binary64)))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (* 3 (/ 1 x)) 1))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) x)
(* -2 (pow x 2))
(*.f64 (*.f64 #s(literal -2 binary64) x) x)
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* (pow x 3) (pow (sqrt -2) 2))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (+ (* 3 (/ 1 x)) (pow (sqrt -2) 2)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* x (pow (sqrt -2) 2))
(*.f64 #s(literal -2 binary64) x)
(* x (+ (* 3 (/ 1 x)) (pow (sqrt -2) 2)))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) x)
(* -1 (* (pow x 3) (pow (sqrt 2) 2)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* -1 (* (pow x 3) (- (pow (sqrt 2) 2) (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* x (pow (sqrt 2) 2)))
(*.f64 #s(literal -2 binary64) x)
(* -1 (* x (- (pow (sqrt 2) 2) (* 3 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 2))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))

rewrite134.0ms (3.6%)

Memory
38.3MiB live, 133.1MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024113
039105
113996
094296
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
19 → 520
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
(*.f64 x x)
x
(-.f64 (-.f64 #s(literal 3 binary64) x) x)
(-.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
#s(literal -2 binary64)
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))
(sqrt.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(pow.f64 x #s(literal 3 binary64))
Outputs
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(*.f64 x (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 x x)) (+.f64 (-.f64 #s(literal 3 binary64) x) x))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))
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(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))

eval64.0ms (1.7%)

Memory
-14.8MiB live, 82.3MiB allocated; 25ms collecting garbage
Compiler

Compiled 6 114 to 867 computations (85.8% saved)

prune14.0ms (0.4%)

Memory
-7.9MiB live, 38.4MiB allocated; 3ms collecting garbage
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New3704374
Fresh224
Picked145
Done000
Total37310383
Accuracy
100.0%
Counts
383 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.9%
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
99.8%
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x)
99.8%
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
68.9%
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
76.0%
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))))
99.8%
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
70.5%
(*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x))
69.0%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
70.5%
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
37.5%
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x)))
Compiler

Compiled 245 to 159 computations (35.1% saved)

simplify0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

series12.0ms (0.3%)

Memory
28.9MiB live, 28.9MiB allocated; 0ms collecting garbage
Counts
26 → 46
Calls
Call 1
Inputs
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x)
(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x))
x
#s(literal 3 binary64)
(*.f64 (*.f64 #s(literal -2 binary64) x) x)
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x)
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
(*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x))
(*.f64 x x)
(-.f64 #s(approx (- 3 x) (neg.f64 x)) x)
#s(approx (- 3 x) (neg.f64 x))
(neg.f64 x)
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64))
#s(literal 4 binary64)
#s(literal 9 binary64)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x)
(sqrt.f64 (*.f64 #s(literal -2 binary64) x))
Outputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* 3 x)
(* x (+ 3 (* -2 x)))
x
(* -2 (pow x 2))
(* -2 x)
3
(+ 3 (* -2 x))
(pow x 2)
(+ 3 (* -1 x))
(* -1 x)
(* (pow x 2) (+ 3 (* 2 x)))
(* (pow x 2) (+ 3 (* x (+ 2 (* 8/3 x)))))
(* (pow x 2) (+ 3 (* x (+ 2 (* x (+ 8/3 (* 16/9 x)))))))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* 4 (pow x 2))))
(* 9 x)
(* x (+ 9 (* 4 (pow x 2))))
9
(+ 9 (* 4 (pow x 2)))
(* (pow x 3) (pow (sqrt -2) 2))
(* (sqrt (pow x 3)) (sqrt -2))
(* (sqrt x) (sqrt -2))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 1))
(* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 3 (* 9 (/ 1 x))) x)) 2))
(* (pow x 3) (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) (pow x 2))) (+ 2 (* 3 (/ 1 x)))))
(* 4 (pow x 4))
(* (pow x 4) (+ 4 (* 9 (/ 1 (pow x 2)))))
(* 4 (pow x 3))
(* (pow x 3) (+ 4 (* 9 (/ 1 (pow x 2)))))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 2 (+ (* 3 (/ 1 x)) (/ 9 (pow x 2))))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) x)) 3) x)))))
(* -1 (* (pow x 3) (pow (sqrt 2) 2)))
(* -1 (* (sqrt (pow x 3)) (* (sqrt -1) (sqrt 2))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 2))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((* (+ (* x 3) (* (* -2 x) x)) x) (+ (* x 3) (* (* -2 x) x)) x 3 (* (* -2 x) x) (* -2 x) -2 (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (* (* x x) (- (- 3 x) x)) (* x x) (- (- 3 x) x) (- 3 x) (neg x) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) 3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (+ (* 4 (* x x)) 9) 4 9 (+ (* -2 x) 3) (* (* x x) (- 3 (* x 2))) (* (* (sqrt (* -2 x)) x) (* (sqrt (* -2 x)) x)) (* (sqrt (* -2 x)) x) (sqrt (* -2 x)))
4.0ms
x
@0
((* (+ (* x 3) (* (* -2 x) x)) x) (+ (* x 3) (* (* -2 x) x)) x 3 (* (* -2 x) x) (* -2 x) -2 (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (* (* x x) (- (- 3 x) x)) (* x x) (- (- 3 x) x) (- 3 x) (neg x) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) 3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (+ (* 4 (* x x)) 9) 4 9 (+ (* -2 x) 3) (* (* x x) (- 3 (* x 2))) (* (* (sqrt (* -2 x)) x) (* (sqrt (* -2 x)) x)) (* (sqrt (* -2 x)) x) (sqrt (* -2 x)))
3.0ms
x
@inf
((* (+ (* x 3) (* (* -2 x) x)) x) (+ (* x 3) (* (* -2 x) x)) x 3 (* (* -2 x) x) (* -2 x) -2 (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (* (* x x) (- (- 3 x) x)) (* x x) (- (- 3 x) x) (- 3 x) (neg x) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) 3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (+ (* 4 (* x x)) 9) 4 9 (+ (* -2 x) 3) (* (* x x) (- 3 (* x 2))) (* (* (sqrt (* -2 x)) x) (* (sqrt (* -2 x)) x)) (* (sqrt (* -2 x)) x) (sqrt (* -2 x)))

simplify179.0ms (4.8%)

Memory
8.4MiB live, 193.4MiB allocated; 39ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114359
1385344
21290338
35140335
08085320
Stop Event
iter limit
node limit
Counts
46 → 45
Calls
Call 1
Inputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* 3 x)
(* x (+ 3 (* -2 x)))
x
(* -2 (pow x 2))
(* -2 x)
3
(+ 3 (* -2 x))
(pow x 2)
(+ 3 (* -1 x))
(* -1 x)
(* (pow x 2) (+ 3 (* 2 x)))
(* (pow x 2) (+ 3 (* x (+ 2 (* 8/3 x)))))
(* (pow x 2) (+ 3 (* x (+ 2 (* x (+ 8/3 (* 16/9 x)))))))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* 4 (pow x 2))))
(* 9 x)
(* x (+ 9 (* 4 (pow x 2))))
9
(+ 9 (* 4 (pow x 2)))
(* (pow x 3) (pow (sqrt -2) 2))
(* (sqrt (pow x 3)) (sqrt -2))
(* (sqrt x) (sqrt -2))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 1))
(* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 3 (* 9 (/ 1 x))) x)) 2))
(* (pow x 3) (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) (pow x 2))) (+ 2 (* 3 (/ 1 x)))))
(* 4 (pow x 4))
(* (pow x 4) (+ 4 (* 9 (/ 1 (pow x 2)))))
(* 4 (pow x 3))
(* (pow x 3) (+ 4 (* 9 (/ 1 (pow x 2)))))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 2 (+ (* 3 (/ 1 x)) (/ 9 (pow x 2))))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) x)) 3) x)))))
(* -1 (* (pow x 3) (pow (sqrt 2) 2)))
(* -1 (* (sqrt (pow x 3)) (* (sqrt -1) (sqrt 2))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 2))))
Outputs
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
x
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
(+ 3 (* -1 x))
(-.f64 #s(literal 3 binary64) x)
(* -1 x)
(neg.f64 x)
(* (pow x 2) (+ 3 (* 2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (+ 2 (* 8/3 x)))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 2 binary64)) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (+ 2 (* x (+ 8/3 (* 16/9 x)))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 16/9 binary64) x #s(literal 8/3 binary64)) x #s(literal 2 binary64)) x #s(literal 3 binary64)) x) x)
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* (pow x 2) (+ 9 (* 4 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* 4 (pow x 2))))
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)
9
#s(literal 9 binary64)
(+ 9 (* 4 (pow x 2)))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64))
(* (pow x 3) (pow (sqrt -2) 2))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (sqrt (pow x 3)) (sqrt -2))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt x) (sqrt -2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x) x)
(* x (- (* 3 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x)
(* x (- (* 3 (/ 1 x)) 1))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) x)
(* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x)))))
(*.f64 (+.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* -1 (/ (+ 3 (* 9 (/ 1 x))) x)) 2))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 9 binary64) x)) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) (pow x 2))) (+ 2 (* 3 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -9 binary64) (/.f64 #s(literal 27/2 binary64) x)) x) #s(literal 3 binary64)) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* 4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))
(* (pow x 4) (+ 4 (* 9 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 9 binary64) x) x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* 4 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))
(* (pow x 3) (+ 4 (* 9 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(*.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -2 binary64)) x)
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(*.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)
(* -1 (* (pow x 3) (+ 2 (+ (* 3 (/ 1 x)) (/ 9 (pow x 2))))))
(*.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -2 binary64)) x) x #s(literal -9 binary64)) x)
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) x)) 3) x)))))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -9 binary64) (/.f64 #s(literal 27/2 binary64) x)) x) #s(literal 3 binary64)) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (pow (sqrt 2) 2)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* -1 (* (sqrt (pow x 3)) (* (sqrt -1) (sqrt 2))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 2))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))

rewrite94.0ms (2.5%)

Memory
-6.7MiB live, 188.1MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032178
052168
1177158
01169158
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
26 → 304
Calls
Call 1
Inputs
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x)
(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x))
x
#s(literal 3 binary64)
(*.f64 (*.f64 #s(literal -2 binary64) x) x)
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x)
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
(*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x))
(*.f64 x x)
(-.f64 #s(approx (- 3 x) (neg.f64 x)) x)
#s(approx (- 3 x) (neg.f64 x))
(neg.f64 x)
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64))
#s(literal 4 binary64)
#s(literal 9 binary64)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x)
(sqrt.f64 (*.f64 #s(literal -2 binary64) x))
Outputs
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 x (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal 2 binary64))) x) (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))) x) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (*.f64 #s(literal 3 binary64) x)))))
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal 2 binary64)))) (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(/.f64 (*.f64 x (fma.f64 #s(literal -8 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (*.f64 #s(literal 3 binary64) x)))))
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(*.f64 (fabs.f64 (fabs.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x))) (fabs.f64 (fabs.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) x)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) x) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (neg.f64 x)) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (neg.f64 x)))
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x)) (fabs.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 x x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) x))
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) x)
(*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 x x))
(*.f64 x (*.f64 (*.f64 #s(literal -2 binary64) x) x))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) #s(literal 2 binary64))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (neg.f64 x)) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x)))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (neg.f64 x))))
(fabs.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) x))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x)) #s(literal 2 binary64)))
(*.f64 (*.f64 x (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x)
(*.f64 x (sqrt.f64 (*.f64 #s(literal -2 binary64) x)))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -2 binary64)))
(pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal -2 binary64) x))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64)))

eval102.0ms (2.8%)

Memory
-34.5MiB live, 109.7MiB allocated; 43ms collecting garbage
Compiler

Compiled 8 304 to 1 185 computations (85.7% saved)

prune18.0ms (0.5%)

Memory
-0.9MiB live, 47.1MiB allocated; 5ms collecting garbage
Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New4221423
Fresh011
Picked145
Done044
Total42310433
Accuracy
100.0%
Counts
433 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.9%
(/.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
99.8%
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x)
99.8%
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
68.9%
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
76.0%
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))))
99.8%
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
70.5%
(*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x))
69.0%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
70.5%
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
37.5%
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x)))
Compiler

Compiled 147 to 99 computations (32.7% saved)

simplify0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

series14.0ms (0.4%)

Memory
11.6MiB live, 55.0MiB allocated; 4ms collecting garbage
Counts
21 → 59
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))))
(*.f64 x x)
x
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
#s(literal 4 binary64)
(/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))
(fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal 9 binary64)
(/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
#s(literal 27 binary64)
(/.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x)
(*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x)
#s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(pow x 2)
x
3
(+ 3 (* -2 x))
(* 4 (pow x 2))
(* -2/9 x)
(* x (- (* 4/27 x) 2/9))
(* x (- (* x (+ 4/27 (* -16/243 (pow x 2)))) 2/9))
(* x (- (* x (+ 4/27 (* (pow x 2) (- (* 32/729 x) 16/243)))) 2/9))
(* -2 x)
9
(+ 9 (* 6 x))
(+ 9 (* x (+ 6 (* 4 x))))
6
(+ 6 (* 4 x))
(+ 3 (* x (- (* 8/9 (pow x 2)) 2)))
(+ 3 (* x (- (* (pow x 2) (+ 8/9 (* -16/27 x))) 2)))
(* (pow x 2) (+ 3 (* 2 x)))
(* (pow x 2) (+ 3 (* x (+ 2 (* 8/3 x)))))
(* (pow x 2) (+ 3 (* x (+ 2 (* x (+ 8/3 (* 16/9 x)))))))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* 4 (pow x 2))))
(* 9 x)
(* x (+ 9 (* 4 (pow x 2))))
(+ 9 (* 4 (pow x 2)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(/ -1/2 x)
(/ (- (* 3/4 (/ 1 x)) 1/2) x)
(/ (- (* 3/4 (/ 1 x)) (+ 1/2 (/ 27/16 (pow x 3)))) x)
(/ (- (+ (* 3/4 (/ 1 x)) (* 81/32 (/ 1 (pow x 4)))) (+ 1/2 (/ 27/16 (pow x 3)))) x)
(* (pow x 2) (+ 4 (* 6 (/ 1 x))))
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))
(* 4 x)
(* x (+ 4 (* 6 (/ 1 x))))
(/ 27/4 (pow x 2))
(/ (- 27/4 (* 81/8 (/ 1 x))) (pow x 2))
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (* 81/8 (/ 1 x))) (pow x 2))
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (+ (* 81/8 (/ 1 x)) (* 2187/64 (/ 1 (pow x 4))))) (pow x 2))
(* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 3 (* 9 (/ 1 x))) x)) 2))
(* (pow x 3) (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) (pow x 2))) (+ 2 (* 3 (/ 1 x)))))
(* 4 (pow x 4))
(* (pow x 4) (+ 4 (* 9 (/ 1 (pow x 2)))))
(* 4 (pow x 3))
(* (pow x 3) (+ 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (/ (- 1/2 (* 3/4 (/ 1 x))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (- 3/4 (* 27/16 (/ 1 (pow x 2)))) x))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (- (+ 3/4 (/ 81/32 (pow x 3))) (* 27/16 (/ 1 (pow x 2)))) x))) x))
(/ (+ 27/4 (* -1 (/ (- 81/8 (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2))
(/ (+ 27/4 (* -1 (/ (- (+ 81/8 (/ 2187/64 (pow x 3))) (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2))
(* -1 (* (pow x 3) (+ 2 (+ (* 3 (/ 1 x)) (/ 9 (pow x 2))))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) x)) 3) x)))))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
((* (* x x) (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)))) (* x x) x (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9))) (* 4 (* x x)) 4 (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9)) (* -2 x) -2 (+ (* x (+ (* 4 x) 6)) 9) (+ (* 4 x) 6) 6 9 (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) 27 (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) 3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (+ (* 4 (* x x)) 9) (+ (* -2 x) 3) 3)
3.0ms
x
@inf
((* (* x x) (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)))) (* x x) x (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9))) (* 4 (* x x)) 4 (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9)) (* -2 x) -2 (+ (* x (+ (* 4 x) 6)) 9) (+ (* 4 x) 6) 6 9 (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) 27 (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) 3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (+ (* 4 (* x x)) 9) (+ (* -2 x) 3) 3)
2.0ms
x
@0
((* (* x x) (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)))) (* x x) x (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9))) (* 4 (* x x)) 4 (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9)) (* -2 x) -2 (+ (* x (+ (* 4 x) 6)) 9) (+ (* 4 x) 6) 6 9 (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) 27 (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) 3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (+ (* 4 (* x x)) 9) (+ (* -2 x) 3) 3)

simplify139.0ms (3.8%)

Memory
34.3MiB live, 226.4MiB allocated; 19ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0199543
1661536
22015516
37425516
08591486
Stop Event
iter limit
node limit
Counts
59 → 58
Calls
Call 1
Inputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(pow x 2)
x
3
(+ 3 (* -2 x))
(* 4 (pow x 2))
(* -2/9 x)
(* x (- (* 4/27 x) 2/9))
(* x (- (* x (+ 4/27 (* -16/243 (pow x 2)))) 2/9))
(* x (- (* x (+ 4/27 (* (pow x 2) (- (* 32/729 x) 16/243)))) 2/9))
(* -2 x)
9
(+ 9 (* 6 x))
(+ 9 (* x (+ 6 (* 4 x))))
6
(+ 6 (* 4 x))
(+ 3 (* x (- (* 8/9 (pow x 2)) 2)))
(+ 3 (* x (- (* (pow x 2) (+ 8/9 (* -16/27 x))) 2)))
(* (pow x 2) (+ 3 (* 2 x)))
(* (pow x 2) (+ 3 (* x (+ 2 (* 8/3 x)))))
(* (pow x 2) (+ 3 (* x (+ 2 (* x (+ 8/3 (* 16/9 x)))))))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* 4 (pow x 2))))
(* 9 x)
(* x (+ 9 (* 4 (pow x 2))))
(+ 9 (* 4 (pow x 2)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(/ -1/2 x)
(/ (- (* 3/4 (/ 1 x)) 1/2) x)
(/ (- (* 3/4 (/ 1 x)) (+ 1/2 (/ 27/16 (pow x 3)))) x)
(/ (- (+ (* 3/4 (/ 1 x)) (* 81/32 (/ 1 (pow x 4)))) (+ 1/2 (/ 27/16 (pow x 3)))) x)
(* (pow x 2) (+ 4 (* 6 (/ 1 x))))
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))
(* 4 x)
(* x (+ 4 (* 6 (/ 1 x))))
(/ 27/4 (pow x 2))
(/ (- 27/4 (* 81/8 (/ 1 x))) (pow x 2))
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (* 81/8 (/ 1 x))) (pow x 2))
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (+ (* 81/8 (/ 1 x)) (* 2187/64 (/ 1 (pow x 4))))) (pow x 2))
(* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 3 (* 9 (/ 1 x))) x)) 2))
(* (pow x 3) (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) (pow x 2))) (+ 2 (* 3 (/ 1 x)))))
(* 4 (pow x 4))
(* (pow x 4) (+ 4 (* 9 (/ 1 (pow x 2)))))
(* 4 (pow x 3))
(* (pow x 3) (+ 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (/ (- 1/2 (* 3/4 (/ 1 x))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (- 3/4 (* 27/16 (/ 1 (pow x 2)))) x))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (- (+ 3/4 (/ 81/32 (pow x 3))) (* 27/16 (/ 1 (pow x 2)))) x))) x))
(/ (+ 27/4 (* -1 (/ (- 81/8 (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2))
(/ (+ 27/4 (* -1 (/ (- (+ 81/8 (/ 2187/64 (pow x 3))) (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2))
(* -1 (* (pow x 3) (+ 2 (+ (* 3 (/ 1 x)) (/ 9 (pow x 2))))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) x)) 3) x)))))
Outputs
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(pow x 2)
(*.f64 x x)
x
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* 4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 4 binary64))
(* -2/9 x)
(*.f64 #s(literal -2/9 binary64) x)
(* x (- (* 4/27 x) 2/9))
(*.f64 (-.f64 (*.f64 #s(literal 4/27 binary64) x) #s(literal 2/9 binary64)) x)
(* x (- (* x (+ 4/27 (* -16/243 (pow x 2)))) 2/9))
(*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -16/243 binary64) (*.f64 x x) #s(literal 4/27 binary64)) x) #s(literal 2/9 binary64)) x)
(* x (- (* x (+ 4/27 (* (pow x 2) (- (* 32/729 x) 16/243)))) 2/9))
(*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 32/729 binary64) x) #s(literal 16/243 binary64)) (*.f64 x x) #s(literal 4/27 binary64)) x) #s(literal 2/9 binary64)) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
9
#s(literal 9 binary64)
(+ 9 (* 6 x))
(fma.f64 #s(literal 6 binary64) x #s(literal 9 binary64))
(+ 9 (* x (+ 6 (* 4 x))))
(fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))
6
#s(literal 6 binary64)
(+ 6 (* 4 x))
(fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))
(+ 3 (* x (- (* 8/9 (pow x 2)) 2)))
(fma.f64 (-.f64 (*.f64 #s(literal 8/9 binary64) (*.f64 x x)) #s(literal 2 binary64)) x #s(literal 3 binary64))
(+ 3 (* x (- (* (pow x 2) (+ 8/9 (* -16/27 x))) 2)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -16/27 binary64) x #s(literal 8/9 binary64)) x) x) #s(literal 2 binary64)) x #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* 2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (+ 2 (* 8/3 x)))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 2 binary64)) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (+ 2 (* x (+ 8/3 (* 16/9 x)))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 16/9 binary64) x #s(literal 8/3 binary64)) x #s(literal 2 binary64)) x #s(literal 3 binary64)) x) x)
(* 9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (+ 9 (* 4 (pow x 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal 9 binary64)) x) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* 4 (pow x 2))))
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal 9 binary64)) x)
(+ 9 (* 4 (pow x 2)))
(fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal 9 binary64))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* x (- (* 3 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 3/4 (/ 1 x)) 1/2) x)
(/.f64 (-.f64 (/.f64 #s(literal 3/4 binary64) x) #s(literal 1/2 binary64)) x)
(/ (- (* 3/4 (/ 1 x)) (+ 1/2 (/ 27/16 (pow x 3)))) x)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/4 binary64) x) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 27/16 binary64) (pow.f64 x #s(literal 4 binary64))))
(/ (- (+ (* 3/4 (/ 1 x)) (* 81/32 (/ 1 (pow x 4)))) (+ 1/2 (/ 27/16 (pow x 3)))) x)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 81/32 binary64) x) #s(literal -27/16 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) x))) x)
(* (pow x 2) (+ 4 (* 6 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* x (+ 4 (* 6 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))
(/ 27/4 (pow x 2))
(/.f64 #s(literal 27/4 binary64) (*.f64 x x))
(/ (- 27/4 (* 81/8 (/ 1 x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 27/4 binary64) (/.f64 #s(literal 81/8 binary64) x)) x) x)
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (* 81/8 (/ 1 x))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 729/32 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 27/4 binary64)) (/.f64 #s(literal 81/8 binary64) x)) (*.f64 x x))
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (+ (* 81/8 (/ 1 x)) (* 2187/64 (/ 1 (pow x 4))))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal 27/4 binary64) (/.f64 #s(literal 81/8 binary64) x)) (/.f64 (+.f64 (/.f64 #s(literal 2187/64 binary64) x) #s(literal -729/32 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x) (neg.f64 x))
(* (pow x 3) (- (* -1 (/ (+ 3 (* 9 (/ 1 x))) x)) 2))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 9 binary64) x)) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) (pow x 2))) (+ 2 (* 3 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -27/2 binary64) x) #s(literal -9 binary64)) x) #s(literal 3 binary64)) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* 4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))
(* (pow x 4) (+ 4 (* 9 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 9 binary64) x) x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* 4 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))
(* (pow x 3) (+ 4 (* 9 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal 9 binary64)) x)
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal 9 binary64))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -1 (/ (- 1/2 (* 3/4 (/ 1 x))) x))
(/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) x) #s(literal -1/2 binary64)) x)
(* -1 (/ (+ 1/2 (* -1 (/ (- 3/4 (* 27/16 (/ 1 (pow x 2)))) x))) x))
(/.f64 (-.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal -3/4 binary64) x) (/.f64 #s(literal 27/16 binary64) (pow.f64 x #s(literal 3 binary64))))) x)
(* -1 (/ (+ 1/2 (* -1 (/ (- (+ 3/4 (/ 81/32 (pow x 3))) (* 27/16 (/ 1 (pow x 2)))) x))) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -27/16 binary64) (/.f64 #s(literal 81/32 binary64) x)) (*.f64 x x)) #s(literal 3/4 binary64)) x) #s(literal -1/2 binary64)) x)
(/ (+ 27/4 (* -1 (/ (- 81/8 (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 729/32 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 27/4 binary64)) (/.f64 #s(literal 81/8 binary64) x)) (*.f64 x x))
(/ (+ 27/4 (* -1 (/ (- (+ 81/8 (/ 2187/64 (pow x 3))) (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal 27/4 binary64) (/.f64 #s(literal 81/8 binary64) x)) (/.f64 (+.f64 (/.f64 #s(literal 2187/64 binary64) x) #s(literal -729/32 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(* -1 (* (pow x 3) (+ 2 (+ (* 3 (/ 1 x)) (/ 9 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x #s(literal 9 binary64)) (neg.f64 x))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) x)) 3) x)))))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -27/2 binary64) x) #s(literal -9 binary64)) x) #s(literal 3 binary64)) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))

rewrite263.0ms (7.1%)

Memory
-19.2MiB live, 346.8MiB allocated; 63ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024160
040160
1154138
21167138
08229132
Stop Event
iter limit
node limit
iter limit
Counts
21 → 456
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))))
(*.f64 x x)
x
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
#s(literal 4 binary64)
(/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))
(fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal 9 binary64)
(/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
#s(literal 27 binary64)
(/.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x)
(*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x)
#s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) x) x)
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))
(*.f64 x (*.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) x))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) (*.f64 x x)) (*.f64 (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) (*.f64 x x)))) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (*.f64 x x)) (*.f64 #s(literal 27 binary64) (*.f64 x x))) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))))) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (*.f64 x x)) (*.f64 #s(literal 27 binary64) (*.f64 x x))) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) #s(literal 2 binary64))))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) x) x) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 9 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) #s(literal 3 binary64)))) (pow.f64 (*.f64 (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) (*.f64 x x)) (*.f64 (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) (*.f64 x x)) (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) (*.f64 x x)) (*.f64 (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 9 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) #s(literal 3 binary64)))) (pow.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) (*.f64 x x)) (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 9 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) #s(literal 3 binary64))))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) x) x) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) (*.f64 x x))))))
(/.f64 (fma.f64 #s(literal 27 binary64) (*.f64 x x) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (*.f64 x x))) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 27 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (*.f64 x x))) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))
(/.f64 (fma.f64 #s(literal 27 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 27 binary64) (*.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (*.f64 x x) (*.f64 #s(literal 27 binary64) (*.f64 x x))) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))
(/.f64 (fma.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (*.f64 #s(literal 27 binary64) (*.f64 x x))) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 27 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))
(/.f64 (fma.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal 27 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64)) #s(literal 729 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) #s(literal 2 binary64))) (*.f64 x x))) (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 19683 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) #s(literal 3 binary64))) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal 729 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -216 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64)) #s(literal 729 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))))
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(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))) (*.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (-.f64 (*.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) #s(literal 9 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))) #s(literal 27 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))))
(/.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (neg.f64 (+.f64 #s(literal 9 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (neg.f64 x) #s(literal -6 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (+.f64 #s(literal 9 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (+.f64 #s(literal 9 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (neg.f64 x) #s(literal -6 binary64)))))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) x))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) x))))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 9 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (neg.f64 x) #s(literal -6 binary64))))) (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (neg.f64 x) #s(literal -6 binary64))))))
(+.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (neg.f64 x) #s(literal -6 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 9 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (neg.f64 x) #s(literal -6 binary64))))))
(+.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))))
(+.f64 #s(literal 3 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal -2 binary64)))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(+.f64 #s(literal 3 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) x))
(+.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))
#s(literal 3 binary64)

eval167.0ms (4.5%)

Memory
30.9MiB live, 222.3MiB allocated; 46ms collecting garbage
Compiler

Compiled 32 666 to 2 818 computations (91.4% saved)

prune27.0ms (0.7%)

Memory
-45.1MiB live, 60.0MiB allocated; 27ms collecting garbage
Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New7862788
Fresh000
Picked112
Done088
Total78711798
Accuracy
100.0%
Counts
798 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.9%
(/.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
99.8%
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x)
99.8%
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
68.9%
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
75.9%
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) x (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))))
74.0%
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) #s(approx (+ (* x (+ (* 4 x) 6)) 9) #s(literal 9 binary64)))))
99.8%
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
70.5%
(*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x))
69.0%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
70.5%
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
37.5%
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x)))
Compiler

Compiled 461 to 212 computations (54% saved)

regimes9.0ms (0.3%)

Memory
22.0MiB live, 22.0MiB allocated; 0ms collecting garbage
Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
(*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x))
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x)
(/.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x)))
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) #s(approx (+ (* x (+ (* 4 x) 6)) 9) #s(literal 9 binary64)))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) x (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))))
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
Outputs
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
Calls

2 calls:

5.0ms
x
4.0ms
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
99.8%1(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
99.8%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes4.0ms (0.1%)

Memory
11.9MiB live, 12.0MiB allocated; 0ms collecting garbage
Counts
4 → 3
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
(*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x))
Outputs
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
Calls

2 calls:

2.0ms
x
1.0ms
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
97.9%3(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
97.9%3x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB allocated; 0ms collecting garbage
Accuracy

Total -0.1b remaining (-0.4%)

Threshold costs -0.1b (-0.4%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
Outputs
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
Calls

2 calls:

1.0ms
x
1.0ms
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
69.0%1(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
69.0%1x
Compiler

Compiled 10 to 8 computations (20% saved)

bsearch37.0ms (1%)

Memory
-2.0MiB live, 84.9MiB allocated; 18ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
0.38611519685730916
14159067137.270601
17.0ms
-162658608.33147982
-0.4457465622497819
Samples
22.0ms304×0valid
Compiler

Compiled 468 to 410 computations (12.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 9.0ms (80.5% of total)
ival-sub: 1.0ms (8.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify48.0ms (1.3%)

Memory
-12.9MiB live, 88.5MiB allocated; 16ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02153
13353
25053
36753
48753
511153
626953
7194553
8358253
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
(if (<=.f64 x #s(literal -3/2 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) (if (<=.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
Outputs
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
(if (<=.f64 x #s(literal -3/2 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) (if (<=.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))))
(if (or (<=.f64 x #s(literal -3/2 binary64)) (not (<=.f64 x #s(literal 3/2 binary64)))) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))

derivations370.0ms (10%)

Memory
-17.2MiB live, 406.0MiB allocated; 69ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
01123
13823
223023
3178723
0898921
02465
16365
217265
360365
4227165
5529165
0842260
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 53 to 23 computations (56.6% saved)

preprocess36.0ms (1%)

Memory
-9.0MiB live, 145.9MiB allocated; 15ms collecting garbage
Compiler

Compiled 142 to 74 computations (47.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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