Asymptote B

Time bar (total: 5.7s)

analyze2.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
75%75%25%0%0%0%0%4
87.5%87.5%12.5%0%0%0%0%5
93.8%93.7%6.2%0%0%0%0%6
96.9%96.8%3.1%0%0%0%0%7
98.4%98.4%1.6%0%0%0%0%8
99.2%99.2%0.8%0%0%0%0%9
99.6%99.6%0.4%0%0%0%0%10
99.8%99.8%0.2%0%0%0%0%11
99.9%99.9%0.1%0%0%0%0%12
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample912.0ms (16.1%)

Memory
-7.6MiB live, 940.6MiB allocated
Samples
684.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 459.0ms
ival-add: 224.0ms (48.8% of total)
ival-div: 168.0ms (36.6% of total)
ival-sub: 56.0ms (12.2% of total)
ival-true: 5.0ms (1.1% of total)
exact: 4.0ms (0.9% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

preprocess27.0ms (0.5%)

Memory
-12.9MiB live, 32.1MiB allocated
Algorithm
1×egg-herbie
Rules
54×sub-neg
52×distribute-lft-neg-in
50×associate-*l*
44×cancel-sign-sub-inv
44×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
12524
26322
313822
425822
542822
645722
747122
848422
0711
01211
11911
22011
02011
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))

explain148.0ms (2.6%)

Memory
12.3MiB live, 126.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(-.f64 x #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
00-0-(/.f64 x (+.f64 x #s(literal 1 binary64)))
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
43.0ms512×0valid
Compiler

Compiled 86 to 32 computations (62.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-add: 21.0ms (67.8% of total)
ival-div: 7.0ms (22.6% of total)
ival-sub: 3.0ms (9.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize35.0ms (0.6%)

Memory
-20.7MiB live, 28.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Samples
13.0ms256×0valid
Compiler

Compiled 31 to 9 computations (71% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (42.5% of total)
ival-add: 2.0ms (28.3% of total)
ival-sub: 1.0ms (14.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))>
#<alt (/.f64 x (+.f64 x #s(literal 1 binary64)))>
#<alt (+.f64 x #s(literal 1 binary64))>
Outputs
#<alt -1>
#<alt (- (* -2 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -1 x) 1)) 1)) 1)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ 1 x)) x)>
#<alt (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ 1 x)) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))>
#<alt x>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* x (+ 1 (* x (- x 1))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
0.0ms
x
@0
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
0.0ms
x
@-inf
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
0.0ms
x
@0
(+ x 1)
0.0ms
x
@inf
(+ x 1)

rewrite422.0ms (7.4%)

Memory
35.4MiB live, 389.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
9 718×lower-fma.f64
9 718×lower-fma.f32
4 480×lower-*.f64
4 480×lower-*.f32
3 656×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
01224
16624
270124
0960624
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 424
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (/.f64 x (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
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(fma.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) x (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (neg.f64 (fma.f64 x (neg.f64 x) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x (neg.f64 x) (+.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 x (fma.f64 x (neg.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x (neg.f64 x) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (fma.f64 x (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x (neg.f64 x) (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))))
(/.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))
(*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))

simplify374.0ms (6.6%)

Memory
-43.1MiB live, 332.9MiB allocated
Algorithm
1×egg-herbie
Rules
10 682×lower-fma.f64
10 682×lower-fma.f32
2 848×lower-*.f64
2 848×lower-*.f32
1 932×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079357
1201355
2436344
31163324
42723318
54872316
66211316
08129308
Stop Event
1×iter limit
1×node limit
Counts
48 → 45
Calls
Call 1
Inputs
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
1
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
1
(- 1 (/ 1 x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
Outputs
-1
#s(literal -1 binary64)
(- (* -2 (pow x 2)) 1)
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(fma.f64 #s(literal -2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(fma.f64 x (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) x) x)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1 x) 1)) 1)
(-.f64 #s(literal -1 binary64) (fma.f64 x x x))
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)
x
(* x (+ 1 (* -1 x)))
(-.f64 x (*.f64 x x))
(* x (+ 1 (* x (- x 1))))
(fma.f64 x (-.f64 (*.f64 x x) x) x)
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))

eval65.0ms (1.1%)

Memory
18.9MiB live, 95.7MiB allocated
Compiler

Compiled 11 456 to 1 237 computations (89.2% saved)

prune101.0ms (1.8%)

Memory
-3.0MiB live, 113.7MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New4636469
Fresh000
Picked011
Done000
Total4637470
Accuracy
100.0%
Counts
470 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.8%
(fma.f64 #s(literal -2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64))
▶51.8%
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
▶76.2%
(/.f64 (+.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64)))
✓100.0%
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
▶48.6%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
▶49.0%
#s(literal 1 binary64)
▶51.9%
#s(literal -1 binary64)
Compiler

Compiled 102 to 67 computations (34.3% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize54.0ms (1%)

Memory
-8.1MiB live, 71.8MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.0%
(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓accuracy100.0%
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(fma.f64 x x #s(literal -1 binary64))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(+.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
✓accuracy76.9%
(/.f64 (+.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64)))
Samples
23.0ms256×0valid
Compiler

Compiled 77 to 17 computations (77.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-add: 5.0ms (37% of total)
ival-div: 3.0ms (22.2% of total)
ival-mult: 3.0ms (22.2% of total)
ival-sub: 1.0ms (7.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
9.0MiB live, 9.0MiB allocated
Counts
8 → 96
Calls
Call 1
Inputs
#<alt (/.f64 (+.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64)))>
#<alt (+.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 #s(literal 1 binary64) x)>
#<alt (fma.f64 x x #s(literal -1 binary64))>
#<alt (*.f64 x x)>
#<alt (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))>
#<alt (/.f64 #s(literal 2 binary64) (*.f64 x x))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))>
Outputs
#<alt -1>
#<alt (- (* -2 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt -1>
#<alt (- (* -2 (pow x 2)) 1)>
#<alt (- (* -2 (pow x 2)) 1)>
#<alt (- (* -2 (pow x 2)) 1)>
#<alt (* -2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))>
#<alt (* -2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (+ 2 (pow x 2)) (pow x 2))>
#<alt (/ (+ 2 (pow x 2)) (pow x 2))>
#<alt (/ (+ 2 (pow x 2)) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
Calls

24 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/ 2 (* x x))
0.0ms
x
@0
(/ (+ x (+ (* x x) (- 1 x))) (+ (* x x) -1))
0.0ms
x
@inf
(+ (* -2 (* x x)) -1)
0.0ms
x
@inf
(/ (+ x (+ (* x x) (- 1 x))) (+ (* x x) -1))
0.0ms
x
@inf
(+ x (+ (* x x) (- 1 x)))

rewrite283.0ms (5%)

Memory
7.5MiB live, 604.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 412×lower-fma.f32
5 406×lower-fma.f64
4 616×lower-/.f32
4 612×lower-/.f64
3 990×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01449
02449
112449
2111549
0831448
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
8 → 427
Calls
Call 1
Inputs
(/.f64 (+.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64)))
(+.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 x x #s(literal -1 binary64))
(*.f64 x x)
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (-.f64 x x) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (+.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x)) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x))) (/.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x))))
(neg.f64 (/.f64 (-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) x) (*.f64 x x))) (fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x)) (*.f64 (-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x) (+.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) x) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (*.f64 (-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x) (+.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) x) (*.f64 x x)) (/.f64 (fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x) (/.f64 (*.f64 (-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x) (+.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x))))
(/.f64 (neg.f64 (-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) x) (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x)))
(/.f64 (*.f64 (-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x) (+.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x)))
(/.f64 (*.f64 (fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) x) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 (-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x) (+.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) x) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x) (+.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x))))
(/.f64 (*.f64 (-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (/.f64 (fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) x) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 (-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x) (+.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x))
(/.f64 (/.f64 (-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) x) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x) (+.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (/.f64 (fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) x) (*.f64 x x))))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x) (+.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x)) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (+.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x)))
(/.f64 (neg.f64 (/.f64 (-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x)))))
(*.f64 (/.f64 (-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x) (+.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x)))
(*.f64 (neg.f64 (-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) x) (*.f64 x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x))
(*.f64 (*.f64 (-.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x) (+.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x))))
(*.f64 (*.f64 (fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) x) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64)))))
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(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
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(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
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(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
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(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64) #s(literal 1 binary64))
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(fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
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(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
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(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64))))
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(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64))))

simplify350.0ms (6.2%)

Memory
-11.5MiB live, 746.1MiB allocated
Algorithm
1×egg-herbie
Rules
17 732×lower-fma.f64
17 732×lower-fma.f32
3 524×lower-*.f64
3 524×lower-*.f32
2 060×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049511
1111502
2281502
3618498
41318496
53763496
66807496
08116461
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-1
(- (* -2 (pow x 2)) 1)
(- (* -2 (pow x 2)) 1)
(- (* -2 (pow x 2)) 1)
(* -2 (pow x 2))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(* -2 (pow x 2))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ (+ 2 (pow x 2)) (pow x 2))
(/ (+ 2 (pow x 2)) (pow x 2))
(/ (+ 2 (pow x 2)) (pow x 2))
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (* 2 (/ 1 (pow x 2))))
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (* 2 (/ 1 (pow x 2))))
Outputs
-1
#s(literal -1 binary64)
(- (* -2 (pow x 2)) 1)
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(fma.f64 #s(literal -2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(fma.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal -2 binary64)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
-1
#s(literal -1 binary64)
(- (* -2 (pow x 2)) 1)
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(- (* -2 (pow x 2)) 1)
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(- (* -2 (pow x 2)) 1)
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (pow x 2)) (pow x 2))
(/.f64 (fma.f64 x x #s(literal 2 binary64)) (*.f64 x x))
(/ (+ 2 (pow x 2)) (pow x 2))
(/.f64 (fma.f64 x x #s(literal 2 binary64)) (*.f64 x x))
(/ (+ 2 (pow x 2)) (pow x 2))
(/.f64 (fma.f64 x x #s(literal 2 binary64)) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))

eval67.0ms (1.2%)

Memory
18.6MiB live, 173.3MiB allocated
Compiler

Compiled 14 272 to 1 476 computations (89.7% saved)

prune55.0ms (1%)

Memory
-15.0MiB live, 151.6MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New5462548
Fresh011
Picked145
Done101
Total5487555
Accuracy
100.0%
Counts
555 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.8%
(fma.f64 #s(literal -2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64))
✓51.8%
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
▶76.2%
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
▶76.2%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) x) (fma.f64 x x #s(literal -1 binary64)))
✓48.6%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
✓49.0%
#s(literal 1 binary64)
✓51.9%
#s(literal -1 binary64)
Compiler

Compiled 55 to 36 computations (34.5% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize49.0ms (0.9%)

Memory
-4.0MiB live, 114.6MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 #s(literal -2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 x (fma.f64 x (*.f64 x x) x))
✓accuracy99.9%
(fma.f64 x (*.f64 x x) x)
✓accuracy100.0%
(fma.f64 x x #s(literal 1 binary64))
✓accuracy100.0%
(fma.f64 x x #s(literal -1 binary64))
✓accuracy76.9%
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
✓accuracy100.0%
(fma.f64 x x #s(literal -1 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (fma.f64 x x x))
✓accuracy100.0%
(-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) x)
✓accuracy76.9%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) x) (fma.f64 x x #s(literal -1 binary64)))
Samples
28.0ms256×0valid
Compiler

Compiled 105 to 19 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 7.0ms (39.1% of total)
ival-add: 6.0ms (33.5% of total)
ival-div: 3.0ms (16.7% of total)
ival-sub: 1.0ms (5.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated
Counts
10 → 120
Calls
Call 1
Inputs
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) x) (fma.f64 x x #s(literal -1 binary64)))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) x)>
#<alt (+.f64 #s(literal 1 binary64) (fma.f64 x x x))>
#<alt (fma.f64 x x #s(literal -1 binary64))>
#<alt (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))>
#<alt (fma.f64 x x #s(literal 1 binary64))>
#<alt (fma.f64 x (*.f64 x x) x)>
#<alt (*.f64 x (fma.f64 x (*.f64 x x) x))>
#<alt (*.f64 x x)>
#<alt (fma.f64 #s(literal -2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64))>
Outputs
#<alt -1>
#<alt (- (* -2 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 x)))>
#<alt (+ 1 (* x (+ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt -1>
#<alt (- (* -2 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (pow x 2)))>
#<alt (* x (+ 1 (pow x 2)))>
#<alt (* x (+ 1 (pow x 2)))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (pow x 2)))>
#<alt (* (pow x 2) (+ 1 (pow x 2)))>
#<alt (* (pow x 2) (+ 1 (pow x 2)))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt -1>
#<alt (- (* -2 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)>
#<alt (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)>
#<alt (* -2 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 2))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 2))>
#<alt (* -2 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 2))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 2))>
Calls

30 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/ (+ (* x x) 1) (+ (* x x) -1))
0.0ms
x
@inf
(+ (* x (* x x)) x)
0.0ms
x
@0
(* x (+ (* x (* x x)) x))
0.0ms
x
@inf
(* x (+ (* x (* x x)) x))
0.0ms
x
@inf
(+ (* -2 (* x (+ (* x (* x x)) x))) -1)

rewrite345.0ms (6.1%)

Memory
7.2MiB live, 727.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 548×lower-fma.f32
5 538×lower-fma.f64
4 922×lower-/.f32
4 918×lower-/.f64
3 510×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01572
02869
114269
2123565
0847863
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
10 → 623
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) x) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) x)
(+.f64 #s(literal 1 binary64) (fma.f64 x x x))
(fma.f64 x x #s(literal -1 binary64))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 x (*.f64 x x) x)
(*.f64 x (fma.f64 x (*.f64 x x) x))
(*.f64 x x)
(fma.f64 #s(literal -2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64))
Outputs
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 0 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (fma.f64 x (+.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (+.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 x x) (+.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (+.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (+.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 x x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))))) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))))) (/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))))))
(-.f64 (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))) (/.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (fma.f64 x x x) (+.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (neg.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (neg.f64 (*.f64 x x))) (neg.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x x) (+.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (neg.f64 (*.f64 x x))))) (neg.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x x) (+.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x x) (+.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x x) (+.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (neg.f64 (*.f64 x x))))) (neg.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (+.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (+.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) (fma.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (neg.f64 (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (+.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (neg.f64 (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (+.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))))) (-.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))))) (/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (-.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (neg.f64 (*.f64 x (*.f64 x x)))) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (+.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 0 binary64))) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (+.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (+.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 0 binary64))))
(/.f64 (*.f64 (+.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 0 binary64))) (*.f64 (+.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64))))
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(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal -2 binary64)))
(+.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal -2 binary64)) #s(literal -1 binary64))
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x)))) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(-.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal -2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x)))) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x)))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64)))))
(fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 x (*.f64 x x) x) (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal -2 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 x #s(literal -2 binary64)) (fma.f64 x (*.f64 x x) x) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x)) x #s(literal -1 binary64))
(fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64))
(fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (fma.f64 x (*.f64 x x) x) (-.f64 (*.f64 x (*.f64 x x)) x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x x)) x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal -2 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal -2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x))) (neg.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))))) (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x)))) #s(literal -8 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal -2 binary64) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x)))) #s(literal -8 binary64) #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x))) #s(literal 1 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x)))) #s(literal -8 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x))) (neg.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x))) #s(literal -1 binary64)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x)))) #s(literal -8 binary64) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x))) #s(literal 1 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x)))) #s(literal -8 binary64) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x))) (neg.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x))) #s(literal -1 binary64))) (neg.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x))))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x)))) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x)))) #s(literal -8 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x))) #s(literal 1 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x)))))) (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x)))) #s(literal -8 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x)))) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x)))) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x)))) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x)))) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x)))) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x)))) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x)))) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal -2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal -2 binary64) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x)))) #s(literal -8 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x))) #s(literal 1 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x)))) #s(literal -8 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x))) (neg.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64)))))))
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x)))) #s(literal -8 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x))) #s(literal 1 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64)))))

simplify369.0ms (6.5%)

Memory
0.9MiB live, 674.7MiB allocated
Algorithm
1×egg-herbie
Rules
16 058×lower-fma.f64
16 058×lower-fma.f32
4 724×lower-*.f64
4 724×lower-*.f32
1 698×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059782
1164746
2381712
31633712
45031712
08284625
Stop Event
1×iter limit
1×node limit
Counts
120 → 119
Calls
Call 1
Inputs
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
1
(+ 1 x)
(+ 1 (* x (+ 1 x)))
(+ 1 (* x (+ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
x
(* x (+ 1 (pow x 2)))
(* x (+ 1 (pow x 2)))
(* x (+ 1 (pow x 2)))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (pow x 2)))
(* (pow x 2) (+ 1 (pow x 2)))
(* (pow x 2) (+ 1 (pow x 2)))
(pow x 4)
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(pow x 4)
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(* -2 (pow x 4))
(* -1 (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 2))
(* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 2))
(* -2 (pow x 4))
(* -1 (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 2))
(* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 2))
Outputs
-1
#s(literal -1 binary64)
(- (* -2 (pow x 2)) 1)
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(fma.f64 x (*.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(fma.f64 x (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 x)))
(+.f64 x (fma.f64 x x #s(literal 1 binary64)))
(+ 1 (* x (+ 1 x)))
(+.f64 x (fma.f64 x x #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(+.f64 x (fma.f64 x x #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(+.f64 x (fma.f64 x x #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(+.f64 x (fma.f64 x x #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(+.f64 x (fma.f64 x x #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -2 (pow x 2)) 1)
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(fma.f64 x (*.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(fma.f64 x (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
x
(* x (+ 1 (pow x 2)))
(fma.f64 x (*.f64 x x) x)
(* x (+ 1 (pow x 2)))
(fma.f64 x (*.f64 x x) x)
(* x (+ 1 (pow x 2)))
(fma.f64 x (*.f64 x x) x)
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x x) x)
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x x) x)
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x x) x)
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x x) x)
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x x) x)
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x x) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (pow x 2)))
(*.f64 x (fma.f64 x (*.f64 x x) x))
(* (pow x 2) (+ 1 (pow x 2)))
(*.f64 x (fma.f64 x (*.f64 x x) x))
(* (pow x 2) (+ 1 (pow x 2)))
(*.f64 x (fma.f64 x (*.f64 x x) x))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x x) x))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x x) x))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x x) x))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x x) x))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x x) x))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x x) x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
-1
#s(literal -1 binary64)
(- (* -2 (pow x 2)) 1)
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(fma.f64 x (*.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(fma.f64 x (*.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64))
(* -2 (pow x 4))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2))))))
(*.f64 #s(literal -2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)))
(* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 2))
(fma.f64 x (*.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64))
(* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 2))
(fma.f64 x (*.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64))
(* -2 (pow x 4))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2))))))
(*.f64 #s(literal -2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)))
(* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 2))
(fma.f64 x (*.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64))
(* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 2))
(fma.f64 x (*.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64))

eval105.0ms (1.8%)

Memory
8.0MiB live, 233.6MiB allocated
Compiler

Compiled 23 737 to 2 034 computations (91.4% saved)

prune89.0ms (1.6%)

Memory
15.4MiB live, 227.9MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New8151816
Fresh000
Picked123
Done044
Total8167823
Accuracy
100.0%
Counts
823 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓51.8%
(fma.f64 #s(literal -2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64))
✓51.8%
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
✓76.2%
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
▶76.2%
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
✓48.6%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
✓49.0%
#s(literal 1 binary64)
✓51.9%
#s(literal -1 binary64)
Compiler

Compiled 54 to 36 computations (33.3% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize28.0ms (0.5%)

Memory
-20.3MiB live, 55.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x #s(literal -1 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))
✓accuracy76.9%
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
Samples
19.0ms256×0valid
Compiler

Compiled 36 to 11 computations (69.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 3.0ms (34.9% of total)
ival-mult: 3.0ms (34.9% of total)
ival-div: 1.0ms (11.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
3.2MiB live, 3.3MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 x #s(literal -1 binary64))>
Outputs
#<alt -1>
#<alt (- (* -2 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(* (+ x -1) (+ 1 x))
0.0ms
x
@inf
(* (+ x -1) (+ 1 x))
0.0ms
x
@0
(/ (+ (* x x) 1) (* (+ x -1) (+ 1 x)))
0.0ms
x
@0
(* (+ x -1) (+ 1 x))
0.0ms
x
@-inf
(/ (+ (* x x) 1) (* (+ x -1) (+ 1 x)))

rewrite278.0ms (4.9%)

Memory
6.9MiB live, 561.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 032×lower-fma.f32
6 030×lower-fma.f64
3 270×lower-*.f32
3 268×lower-*.f64
3 246×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0825
01425
16825
255621
3721221
0830719
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 672
Calls
Call 1
Inputs
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal -1 binary64))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (-.f64 (*.f64 x x) x)))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (-.f64 (*.f64 x x) x)) (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) (neg.f64 x)))
(+.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
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(/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 x (fma.f64 x x x)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x (neg.f64 x) (-.f64 #s(literal -1 binary64) x))))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (fma.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (neg.f64 x) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 x (neg.f64 x) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (-.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 x (*.f64 x (neg.f64 x)))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) (-.f64 #s(literal -1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))

simplify322.0ms (5.7%)

Memory
-21.1MiB live, 631.1MiB allocated
Algorithm
1×egg-herbie
Rules
16 650×lower-fma.f64
16 650×lower-fma.f32
3 346×lower-*.f64
3 346×lower-*.f32
1 816×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042232
193232
2199232
3462228
41216228
53338226
66249226
08313204
Stop Event
1×iter limit
1×node limit
Counts
48 → 44
Calls
Call 1
Inputs
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
Outputs
-1
#s(literal -1 binary64)
(- (* -2 (pow x 2)) 1)
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(fma.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal -1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
x
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)

eval83.0ms (1.5%)

Memory
27.6MiB live, 181.4MiB allocated
Compiler

Compiled 17 850 to 1 928 computations (89.2% saved)

prune80.0ms (1.4%)

Memory
-14.8MiB live, 183.3MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New7160716
Fresh000
Picked011
Done066
Total7167723
Accuracy
100.0%
Counts
723 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓51.8%
(fma.f64 #s(literal -2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64))
✓51.8%
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
✓76.2%
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
✓76.2%
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
✓48.6%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
✓49.0%
#s(literal 1 binary64)
✓51.9%
#s(literal -1 binary64)
Compiler

Compiled 139 to 68 computations (51.1% saved)

regimes7.0ms (0.1%)

Memory
12.7MiB live, 12.7MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 #s(literal -2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) x) (fma.f64 x x #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Calls

2 calls:

3.0ms
x
3.0ms
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes6.0ms (0.1%)

Memory
12.7MiB live, 12.7MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 #s(literal -2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) x) (fma.f64 x x #s(literal -1 binary64)))
Outputs
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
Calls

2 calls:

3.0ms
x
3.0ms
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
100.0%3x
99.8%2(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes3.0ms (0%)

Memory
-34.5MiB live, 4.5MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 #s(literal -2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64))
Outputs
(fma.f64 #s(literal -2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
Calls

1 calls:

2.0ms
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.6%2(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes2.0ms (0%)

Memory
4.0MiB live, 4.0MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
Outputs
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
Calls

1 calls:

2.0ms
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.5%2(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes2.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
Outputs
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
#s(literal 1 binary64)
Calls

1 calls:

2.0ms
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.5%2(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes1.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
Outputs
#s(literal -1 binary64)
#s(literal 1 binary64)
Calls

1 calls:

1.0ms
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.3%2(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes2.0ms (0%)

Memory
5.8MiB live, 5.8MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
Outputs
#s(literal -1 binary64)
Calls

2 calls:

1.0ms
x
1.0ms
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
51.9%1x
51.9%1(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999999
0.9999999999999999
Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999999
0.9999999999999999
Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999999
0.9999999999999999
Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999999
0.9999999999999999
Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
1.0ms
-0.9999999999999999
0.9999999999999999
Samples
0.0ms16×0valid
Compiler

Compiled 21 to 17 computations (19% saved)

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

simplify7.0ms (0.1%)

Memory
13.9MiB live, 13.9MiB allocated
Algorithm
1×egg-herbie
Rules
10×+-commutative_binary64
4×*-commutative_binary64
4×sub-neg_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027138
136138
239138
344138
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)

soundness948.0ms (16.7%)

Memory
-20.5MiB live, 418.9MiB allocated
Rules
17 732×lower-fma.f64
17 732×lower-fma.f32
10 682×lower-fma.f64
10 682×lower-fma.f32
9 718×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049511
1111502
2281502
3618498
41318496
53763496
66807496
08116461
079357
1201355
2436344
31163324
42723318
54872316
66211316
08129308
0724
01224
16624
270124
0960624
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 207 to 76 computations (63.3% saved)

preprocess41.0ms (0.7%)

Memory
27.1MiB live, 105.3MiB allocated
Compiler

Compiled 302 to 68 computations (77.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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