x / (x^2 + 1)

Time bar (total: 6.4s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample872.0ms (13.6%)

Memory
34.9MiB live, 672.0MiB allocated; 666ms collecting garbage
Samples
634.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 175.0ms
ival-mult: 63.0ms (36% of total)
ival-div: 54.0ms (30.9% of total)
ival-add: 41.0ms (23.4% of total)
ival-true: 6.0ms (3.4% of total)
exact: 5.0ms (2.9% of total)
ival-assert: 3.0ms (1.7% of total)
adjust: 2.0ms (1.1% of total)
Bogosity

explain75.0ms (1.2%)

Memory
-25.2MiB live, 85.6MiB allocated; 36ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
580-0-(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(+.f64 (*.f64 x x) #s(literal 1 binary64))
00-0-(*.f64 x x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))n/o580
↳(*.f64 x x)overflow58
↳(+.f64 (*.f64 x x) #s(literal 1 binary64))overflow58
Confusion
Predicted +Predicted -
+580
-0198
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5800
-00198
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0198
158
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
26.0ms512×0valid
Compiler

Compiled 45 to 19 computations (57.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 8.0ms (52.2% of total)
ival-div: 3.0ms (19.6% of total)
ival-add: 2.0ms (13% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess17.0ms (0.3%)

Memory
23.0MiB live, 23.0MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
12415
25614
37114
49114
057
087
1157
2347
3617
4787
5817
6897
7917
0916
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Outputs
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
Symmetry

(negabs x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶78.9%
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify5.0ms (0.1%)

Memory
9.0MiB live, 9.0MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
cost-diff1
(+.f64 (*.f64 x x) #s(literal 1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0517
0817
11517
23417
36117
47817
58117
68917
79117
09115
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
x
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)
Outputs
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
x
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)

localize19.0ms (0.3%)

Memory
-14.6MiB live, 29.1MiB allocated; 7ms collecting garbage
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 (*.f64 x x) #s(literal 1 binary64))
accuracy0.0
(*.f64 x x)
accuracy13.535710093235497
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Samples
15.0ms256×0valid
Compiler

Compiled 19 to 7 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (32.8% of total)
ival-mult: 2.0ms (32.8% of total)
ival-add: 1.0ms (16.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated; 0ms collecting garbage
Counts
3 → 15
Calls
Call 1
Inputs
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 x x)
Outputs
1
(+ 1 (pow x 2))
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(/ 1 x)
(/ (- 1 (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))
Calls

3 calls:

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

simplify237.0ms (3.7%)

Memory
7.5MiB live, 148.4MiB allocated; 22ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045152
1128150
2336142
31106140
42977137
57066135
08174131
Stop Event
1×iter limit
1×node limit
Counts
15 → 14
Calls
Call 1
Inputs
1
(+ 1 (pow x 2))
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(/ 1 x)
(/ (- 1 (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))
Outputs
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
x
(* x (+ 1 (* -1 (pow x 2))))
(-.f64 x (pow.f64 x #s(literal 3 binary64)))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) x #s(literal -1 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 (pow x 2))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(/.f64 (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) x)
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) x)
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (neg.f64 x))

rewrite115.0ms (1.8%)

Memory
-4.4MiB live, 127.4MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0815
13315
222015
3239615
0940113
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 236
Calls
Call 1
Inputs
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 x x)
Outputs
(*.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64))))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(*.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 8 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(*.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (tanh.f64 (log.f64 x)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (tanh.f64 (log.f64 x))))
(*.f64 (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 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))))))
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eval53.0ms (0.8%)

Memory
-12.4MiB live, 47.2MiB allocated; 8ms collecting garbage
Compiler

Compiled 6 534 to 801 computations (87.7% saved)

prune8.0ms (0.1%)

Memory
15.4MiB live, 15.4MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2427249
Fresh000
Picked101
Done000
Total2437250
Accuracy
100.0%
Counts
250 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.3%
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
▶78.9%
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
▶67.3%
(/.f64 x (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
▶51.5%
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
65.6%
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))
▶51.1%
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x))
▶51.1%
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 152 to 112 computations (26.3% saved)

simplify432.0ms (6.8%)

Memory
22.4MiB live, 210.1MiB allocated; 35ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal 4 binary64))
cost-diff0
(/.f64 x (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
cost-diff1
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
cost-diff1
(+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
cost-diff0
(fma.f64 x x #s(literal -1 binary64))
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x)
cost-diff0
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x))
cost-diff0
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
cost-diff0
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(fma.f64 x x #s(literal 1 binary64))
cost-diff0
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
022102
03498
15698
215798
374897
4223997
5499297
0822897
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
x
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
x
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 x (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
x
(+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)
Outputs
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
x
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
x
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x)
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 x (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
x
(+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(*.f64 x x)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)

localize51.0ms (0.8%)

Memory
8.0MiB live, 95.9MiB allocated; 12ms collecting garbage
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 x #s(literal 4 binary64))
accuracy0.0
(+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
accuracy13.535710093235497
(/.f64 x (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
accuracy15.48284872592178
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
accuracy0.0
(fma.f64 x x #s(literal -1 binary64))
accuracy0.0
(pow.f64 x #s(literal 3 binary64))
accuracy0.03125
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x)
accuracy31.30198851581551
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x))
accuracy13.535710093235497
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
accuracy30.876161214432987
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
accuracy0.0
(/.f64 #s(literal 1 binary64) x)
accuracy31.297827942933488
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
accuracy0.0
(fma.f64 x x #s(literal 1 binary64))
accuracy13.535710093235497
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
Samples
39.0ms256×0valid
Compiler

Compiled 95 to 19 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-add: 11.0ms (40% of total)
ival-div: 5.0ms (18.2% of total)
ival-pow: 5.0ms (18.2% of total)
ival-mult: 4.0ms (14.5% of total)
ival-sqrt: 2.0ms (7.3% of total)
exact: 1.0ms (3.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
-23.7MiB live, 17.6MiB allocated; 7ms collecting garbage
Counts
14 → 25
Calls
Call 1
Inputs
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
(fma.f64 x x #s(literal -1 binary64))
(+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(/.f64 x (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(pow.f64 x #s(literal 4 binary64))
Outputs
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
1
(+ 1 (pow x 2))
(/ 1 x)
(pow x 3)
-1
(- (pow x 2) 1)
(pow x 2)
(pow x 4)
(/ (- 1 (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 5)
(* (pow x 5) (- 1 (/ 1 (pow x 2))))
(* (pow x 5) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) 1)))
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4))))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@0
((/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (+ (* (pow x 3) (+ (* x x) -1)) x) (pow x 3) (+ (* x x) -1) (+ (sqrt (pow x 4)) 1) (sqrt (pow x 4)) (/ x (+ (sqrt (pow x 4)) 1)) (pow x 4))
2.0ms
x
@-inf
((/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (+ (* (pow x 3) (+ (* x x) -1)) x) (pow x 3) (+ (* x x) -1) (+ (sqrt (pow x 4)) 1) (sqrt (pow x 4)) (/ x (+ (sqrt (pow x 4)) 1)) (pow x 4))
2.0ms
x
@inf
((/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (+ (* (pow x 3) (+ (* x x) -1)) x) (pow x 3) (+ (* x x) -1) (+ (sqrt (pow x 4)) 1) (sqrt (pow x 4)) (/ x (+ (sqrt (pow x 4)) 1)) (pow x 4))

simplify294.0ms (4.6%)

Memory
-21.3MiB live, 143.5MiB allocated; 21ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056236
1153226
2381226
31174224
43105219
57413216
08178211
Stop Event
1×iter limit
1×node limit
Counts
25 → 24
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
1
(+ 1 (pow x 2))
(/ 1 x)
(pow x 3)
-1
(- (pow x 2) 1)
(pow x 2)
(pow x 4)
(/ (- 1 (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 5)
(* (pow x 5) (- 1 (/ 1 (pow x 2))))
(* (pow x 5) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) 1)))
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4))))))
Outputs
x
(* x (+ 1 (* -1 (pow x 2))))
(-.f64 x (pow.f64 x #s(literal 3 binary64)))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) x #s(literal -1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(/ (- 1 (/ 1 (pow x 2))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))) x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* (pow x 5) (- 1 (/ 1 (pow x 2))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(* (pow x 5) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) x)
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5 binary64))))
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (neg.f64 x))
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) 1)))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))

rewrite397.0ms (6.2%)

Memory
28.0MiB live, 202.3MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02290
03485
111485
269585
0962985
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 1 153
Calls
Call 1
Inputs
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
(fma.f64 x x #s(literal -1 binary64))
(+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(/.f64 x (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(pow.f64 x #s(literal 4 binary64))
Outputs
(*.f64 (/.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(/.f64 (*.f64 x (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
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(fma.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 x x)))
(fma.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 x x) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(fma.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))))
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))))
(+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 x x)) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (*.f64 (neg.f64 x) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (*.f64 x (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
(*.f64 (*.f64 (neg.f64 x) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 x (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 x)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)))
(*.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)))
(*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 x (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)))
(*.f64 x (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 x))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 x) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))) (-.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))))))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (neg.f64 x) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (neg.f64 x)))
(fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) x (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) x))
(fma.f64 (neg.f64 x) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 x) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))
(fma.f64 x (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 x (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))
(sqrt.f64 (pow.f64 x #s(literal 8 binary64)))
(fabs.f64 (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (neg.f64 x)) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (neg.f64 x)))
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) x) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) x))
(+.f64 (*.f64 (neg.f64 x) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 (neg.f64 x) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))
(+.f64 (*.f64 x (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 x (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))

eval450.0ms (7%)

Memory
-19.5MiB live, 269.9MiB allocated; 59ms collecting garbage
Compiler

Compiled 24 112 to 2 875 computations (88.1% saved)

prune25.0ms (0.4%)

Memory
28.0MiB live, 71.1MiB allocated; 5ms collecting garbage
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1 03621 038
Fresh202
Picked145
Done000
Total1 03961 045
Accuracy
100.0%
Counts
1 045 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓78.9%
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓67.3%
(/.f64 x (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
✓51.5%
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
▶65.6%
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
▶51.1%
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x))
✓51.1%
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 65 to 46 computations (29.2% saved)

simplify197.0ms (3.1%)

Memory
-6.2MiB live, 147.9MiB allocated; 38ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal 4 binary64))
cost-diff0
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
cost-diff0
(/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
cost-diff1
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
cost-diff0
(fma.f64 x x #s(literal -1 binary64))
cost-diff0
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x))
cost-diff1
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
cost-diff1
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01680
02580
15278
216678
369376
4288474
5554874
6789474
0846873
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x))
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x)
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(*.f64 x x)
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
x
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x))
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x)
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(*.f64 x x)
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
x
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)

localize69.0ms (1.1%)

Memory
-26.8MiB live, 19.7MiB allocated; 3ms collecting garbage
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 x #s(literal 4 binary64))
accuracy0.0
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
accuracy2.44441017649505
(/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
accuracy19.075509289067153
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
accuracy0.0
(*.f64 x x)
accuracy0.03515625
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x)
accuracy0.046875
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
accuracy31.30198851581551
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x))
Samples
27.0ms256×0valid
Compiler

Compiled 76 to 17 computations (77.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 6.0ms (34.1% of total)
ival-div: 3.0ms (17% of total)
ival-add: 3.0ms (17% of total)
ival-pow: 3.0ms (17% of total)
ival-sub: 1.0ms (5.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB allocated; 0ms collecting garbage
Counts
9 → 37
Calls
Call 1
Inputs
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x)
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x))
(fma.f64 x x #s(literal -1 binary64))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 4 binary64))
(*.f64 x x)
Outputs
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(* -1 x)
(* x (- (pow x 2) 1))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
-1
(- (pow x 2) 1)
(* x (- (* -1 (pow x 4)) 1))
(* x (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1))
(* x (- (* (pow x 4) (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1)) 1))
(- (pow x 4) 1)
(pow x 4)
(pow x 2)
(pow x 5)
(* (pow x 5) (- 1 (/ 1 (pow x 2))))
(* (pow x 5) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(/ 1 x)
(/ (- 1 (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(/ 1 (pow x 3))
(/ (+ 1 (/ 1 (pow x 4))) (pow x 3))
(/ (+ 1 (+ (/ 1 (pow x 4)) (/ 1 (pow x 8)))) (pow x 3))
(/ (+ 1 (+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 8)) (/ 1 (pow x 12))))) (pow x 3))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) 1)))
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4))))))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 4))) (pow x 4))) 1) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 4))) (pow x 8))) (+ 1 (/ 1 (pow x 4)))) (pow x 3)))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((+ (* (* (+ (* x x) -1) x) (* x x)) x) (* (+ (* x x) -1) x) (/ x (+ (* x x) 1)) (+ (* x x) -1) (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/ x (- (pow x 4) 1)) (- (pow x 4) 1) (pow x 4) (* x x))
2.0ms
x
@-inf
((+ (* (* (+ (* x x) -1) x) (* x x)) x) (* (+ (* x x) -1) x) (/ x (+ (* x x) 1)) (+ (* x x) -1) (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/ x (- (pow x 4) 1)) (- (pow x 4) 1) (pow x 4) (* x x))
1.0ms
x
@0
((+ (* (* (+ (* x x) -1) x) (* x x)) x) (* (+ (* x x) -1) x) (/ x (+ (* x x) 1)) (+ (* x x) -1) (* (/ x (- (pow x 4) 1)) (+ (* x x) -1)) (/ x (- (pow x 4) 1)) (- (pow x 4) 1) (pow x 4) (* x x))

simplify157.0ms (2.5%)

Memory
11.2MiB live, 152.8MiB allocated; 22ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095415
1241405
2635403
32257399
46580399
09171394
Stop Event
1×iter limit
1×node limit
Counts
37 → 36
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(* -1 x)
(* x (- (pow x 2) 1))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
-1
(- (pow x 2) 1)
(* x (- (* -1 (pow x 4)) 1))
(* x (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1))
(* x (- (* (pow x 4) (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1)) 1))
(- (pow x 4) 1)
(pow x 4)
(pow x 2)
(pow x 5)
(* (pow x 5) (- 1 (/ 1 (pow x 2))))
(* (pow x 5) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(/ 1 x)
(/ (- 1 (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(/ 1 (pow x 3))
(/ (+ 1 (/ 1 (pow x 4))) (pow x 3))
(/ (+ 1 (+ (/ 1 (pow x 4)) (/ 1 (pow x 8)))) (pow x 3))
(/ (+ 1 (+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 8)) (/ 1 (pow x 12))))) (pow x 3))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) 1)))
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4))))))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 4))) (pow x 4))) 1) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 4))) (pow x 8))) (+ 1 (/ 1 (pow x 4)))) (pow x 3)))
Outputs
x
(* x (+ 1 (* -1 (pow x 2))))
(-.f64 x (pow.f64 x #s(literal 3 binary64)))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (pow x 2) 1))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) x #s(literal -1 binary64)) x)
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(* x (- (* -1 (pow x 4)) 1))
(*.f64 (-.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) x)
(* x (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1))
(*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) x)
(* x (- (* (pow x 4) (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1)) 1))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) x)
(- (pow x 4) 1)
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 2)
(*.f64 x x)
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* (pow x 5) (- 1 (/ 1 (pow x 2))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 (pow x 2))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x)
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 1 (/ 1 (pow x 4))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 1 (+ (/ 1 (pow x 4)) (/ 1 (pow x 8)))) (pow x 3))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 1 (+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 8)) (/ 1 (pow x 12))))) (pow x 3))
(/.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) 1)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4))))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 4))) (pow x 4))) 1) (pow x 3)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 4))) (pow x 8))) (+ 1 (/ 1 (pow x 4)))) (pow x 3)))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 8 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))

rewrite203.0ms (3.2%)

Memory
-19.1MiB live, 167.3MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01670
02570
111063
279462
01025158
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
9 → 654
Calls
Call 1
Inputs
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x)
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x))
(fma.f64 x x #s(literal -1 binary64))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 4 binary64))
(*.f64 x x)
Outputs
(*.f64 (/.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) x x) (fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) x #s(literal 1 binary64))) (/.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) x x) x))
(*.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) x #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) x #s(literal 1 binary64)) x)
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) x x)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) x x))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) x x)) (/.f64 (*.f64 x x) (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) x x)))) (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) x x))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64)))))))) (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) x x))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) x x)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) x x)) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) x x)) (/.f64 (*.f64 x x) (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) x x)) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) x x)) (/.f64 (*.f64 x x) (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) x x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))))))) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) x x)) (*.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) x x) (*.f64 x x))) (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))))) (*.f64 (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (*.f64 x (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) x x)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) x x))
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64)))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))))))
(neg.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) x x))
(fma.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (*.f64 x x) (neg.f64 x))
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(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))
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(fma.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (neg.f64 x) (*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (neg.f64 x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) x (*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) x (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x) (*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) (*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) (*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 x (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x 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))) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))
(+.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) x #s(literal 1 binary64)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))))
(+.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (-.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)))
(+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x)
(*.f64 (*.f64 x (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x (*.f64 (neg.f64 x) x)) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 x))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))) (-.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))))))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (*.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))))
(sqrt.f64 (pow.f64 x #s(literal 8 binary64)))
(fabs.f64 (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))))
(+.f64 (neg.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))) (neg.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))

eval195.0ms (3%)

Memory
26.1MiB live, 157.5MiB allocated; 15ms collecting garbage
Compiler

Compiled 19 520 to 2 430 computations (87.6% saved)

prune28.0ms (0.4%)

Memory
-12.5MiB live, 44.5MiB allocated; 10ms collecting garbage
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New7624766
Fresh000
Picked112
Done134
Total7648772
Accuracy
100.0%
Counts
772 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓78.9%
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓51.5%
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
▶77.2%
(*.f64 (/.f64 (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))))
▶65.6%
(*.f64 (/.f64 x (fma.f64 (*.f64 x (*.f64 (neg.f64 x) x)) (neg.f64 x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
▶65.6%
(*.f64 (/.f64 x (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
✓51.1%
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x))
▶50.2%
#s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x))
✓51.1%
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 120 to 71 computations (40.8% saved)

simplify212.0ms (3.3%)

Memory
8.9MiB live, 226.6MiB allocated; 85ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x x #s(literal 1 binary64))
cost-diff0
(fma.f64 x x #s(literal -1 binary64))
cost-diff0
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
cost-diff10
(*.f64 (/.f64 (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))))
cost-diff0
(/.f64 x (fma.f64 (*.f64 x (*.f64 (neg.f64 x) x)) (neg.f64 x) #s(literal -1 binary64)))
cost-diff2
(*.f64 x (*.f64 (neg.f64 x) x))
cost-diff3
(fma.f64 (*.f64 x (*.f64 (neg.f64 x) x)) (neg.f64 x) #s(literal -1 binary64))
cost-diff6
(*.f64 (/.f64 x (fma.f64 (*.f64 x (*.f64 (neg.f64 x) x)) (neg.f64 x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
cost-diff0
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
cost-diff0
(/.f64 x (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))))
cost-diff6
(*.f64 (/.f64 x (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
cost-diff7
(*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (* (+ (* x x) -1) x) (neg.f64 x))
cost-diff0
(fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x)
cost-diff0
#s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
029219
050207
1112207
2387164
31937156
08671156
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x))
(fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x)
#s(approx (* (+ (* x x) -1) x) (neg.f64 x))
(neg.f64 x)
x
(*.f64 x x)
(*.f64 (/.f64 x (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 x (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))))
x
(*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (/.f64 x (fma.f64 (*.f64 x (*.f64 (neg.f64 x) x)) (neg.f64 x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 x (fma.f64 (*.f64 x (*.f64 (neg.f64 x) x)) (neg.f64 x) #s(literal -1 binary64)))
x
(fma.f64 (*.f64 x (*.f64 (neg.f64 x) x)) (neg.f64 x) #s(literal -1 binary64))
(*.f64 x (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
#s(literal -1 binary64)
(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 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))
x
#s(literal -1 binary64)
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 x (fma.f64 x x #s(literal -1 binary64)))
Outputs
#s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x))
(fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x)
#s(approx (* (+ (* x x) -1) x) (neg.f64 x))
(neg.f64 x)
x
(*.f64 x x)
(*.f64 (/.f64 x (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(/.f64 x (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))))
(/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
x
(*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (/.f64 x (fma.f64 (*.f64 x (*.f64 (neg.f64 x) x)) (neg.f64 x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(/.f64 x (fma.f64 (*.f64 x (*.f64 (neg.f64 x) x)) (neg.f64 x) #s(literal -1 binary64)))
(/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
x
(fma.f64 (*.f64 x (*.f64 (neg.f64 x) x)) (neg.f64 x) #s(literal -1 binary64))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 x (*.f64 (neg.f64 x) x))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
#s(literal -1 binary64)
(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 x (fma.f64 x x #s(literal -1 binary64))))
(/.f64 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))
x
#s(literal -1 binary64)
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 x (fma.f64 x x #s(literal -1 binary64)))

localize198.0ms (3.1%)

Memory
-31.1MiB live, 63.5MiB allocated; 4ms collecting garbage
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 x x #s(literal -1 binary64))
accuracy0.0078125
(*.f64 (/.f64 (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))))
accuracy13.523991343235497
(/.f64 x (fma.f64 x x #s(literal -1 binary64)))
accuracy14.05094081094787
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
accuracy0.046875
(fma.f64 (*.f64 x (*.f64 (neg.f64 x) x)) (neg.f64 x) #s(literal -1 binary64))
accuracy0.09375
(*.f64 x (*.f64 (neg.f64 x) x))
accuracy2.44441017649505
(/.f64 x (fma.f64 (*.f64 x (*.f64 (neg.f64 x) x)) (neg.f64 x) #s(literal -1 binary64)))
accuracy19.075509289067153
(*.f64 (/.f64 x (fma.f64 (*.f64 x (*.f64 (neg.f64 x) x)) (neg.f64 x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
accuracy0.0390625
(*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
accuracy0.0546875
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
accuracy2.44441017649505
(/.f64 x (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))))
accuracy19.075509289067153
(*.f64 (/.f64 x (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
accuracy0.0
(neg.f64 x)
accuracy0.03515625
(fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x)
accuracy31.30198851581551
#s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x))
accuracy32.206062687084035
#s(approx (* (+ (* x x) -1) x) (neg.f64 x))
Samples
181.0ms256×0valid
Compiler

Compiled 224 to 28 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 105.0ms
ival-div: 81.0ms (76.8% of total)
ival-mult: 16.0ms (15.2% of total)
ival-add: 6.0ms (5.7% of total)
ival-sub: 1.0ms (0.9% of total)
ival-neg: 1.0ms (0.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Counts
17 → 63
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x))
(fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x)
#s(approx (* (+ (* x x) -1) x) (neg.f64 x))
(neg.f64 x)
(*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 x (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 x (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 x (fma.f64 (*.f64 x (*.f64 (neg.f64 x) x)) (neg.f64 x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (*.f64 x (*.f64 (neg.f64 x) x)) (neg.f64 x) #s(literal -1 binary64))
(*.f64 x (*.f64 (neg.f64 x) x))
(/.f64 x (fma.f64 (*.f64 x (*.f64 (neg.f64 x) x)) (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (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 (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 x #s(literal 1 binary64))
(/.f64 x (fma.f64 x x #s(literal -1 binary64)))
Outputs
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
(* -1 x)
(* x (- (pow x 2) 1))
-1
(- (pow x 4) 1)
(* x (- (* -1 (pow x 4)) 1))
(* x (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1))
(* x (- (* (pow x 4) (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1)) 1))
1
(+ 1 x)
(+ 1 (* x (+ 1 x)))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(* -1 (pow x 3))
(- (* 2 (pow x 2)) 1)
(- (* (pow x 2) (+ 2 (* -2 (pow x 2)))) 1)
(- (* (pow x 2) (+ 2 (* (pow x 2) (- (* 2 (pow x 2)) 2)))) 1)
(- (pow x 2) 1)
(+ 1 (pow x 2))
(* x (- (* -1 (pow x 2)) 1))
(* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1))
(/ 1 x)
(/ (- 1 (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(pow x 5)
(* (pow x 5) (- 1 (/ 1 (pow x 2))))
(* (pow x 5) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(pow x 4)
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(/ 1 (pow x 3))
(/ (+ 1 (/ 1 (pow x 4))) (pow x 3))
(/ (+ 1 (+ (/ 1 (pow x 4)) (/ 1 (pow x 8)))) (pow x 3))
(/ (+ 1 (+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 8)) (/ 1 (pow x 12))))) (pow x 3))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(- 1 (* 2 (/ 1 (pow x 2))))
(- (+ 1 (/ 2 (pow x 4))) (* 2 (/ 1 (pow x 2))))
(- (+ 1 (/ 2 (pow x 4))) (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(/ (+ 1 (/ 1 (pow x 2))) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) 1)))
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4))))))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 4))) (pow x 4))) 1) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 4))) (pow x 8))) (+ 1 (/ 1 (pow x 4)))) (pow x 3)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((/ x (+ (* x x) 1)) (+ (* (* (+ (* x x) -1) x) (* x x)) x) (* (+ (* x x) -1) x) (neg x) (* (* (+ (* x x) 1) (+ 1 x)) (- x 1)) (* (/ x (* (* (+ (* x x) 1) (+ 1 x)) (- x 1))) (+ (* x x) -1)) (/ x (* (* (+ (* x x) 1) (+ 1 x)) (- x 1))) (* (+ (* x x) 1) (+ 1 x)) (* (/ x (+ (* (* x (* (neg x) x)) (neg x)) -1)) (+ (* x x) -1)) (+ (* (* x (* (neg x) x)) (neg x)) -1) (* x (* (neg x) x)) (/ x (+ (* (* x (* (neg x) x)) (neg x)) -1)) (* (/ (+ (* x x) -1) (+ (* x x) 1)) (/ x (+ (* x x) -1))) (/ (+ (* x x) -1) (+ (* x x) 1)) (+ (* x x) -1) (+ (* x x) 1) (/ x (+ (* x x) -1)))
3.0ms
x
@inf
((/ x (+ (* x x) 1)) (+ (* (* (+ (* x x) -1) x) (* x x)) x) (* (+ (* x x) -1) x) (neg x) (* (* (+ (* x x) 1) (+ 1 x)) (- x 1)) (* (/ x (* (* (+ (* x x) 1) (+ 1 x)) (- x 1))) (+ (* x x) -1)) (/ x (* (* (+ (* x x) 1) (+ 1 x)) (- x 1))) (* (+ (* x x) 1) (+ 1 x)) (* (/ x (+ (* (* x (* (neg x) x)) (neg x)) -1)) (+ (* x x) -1)) (+ (* (* x (* (neg x) x)) (neg x)) -1) (* x (* (neg x) x)) (/ x (+ (* (* x (* (neg x) x)) (neg x)) -1)) (* (/ (+ (* x x) -1) (+ (* x x) 1)) (/ x (+ (* x x) -1))) (/ (+ (* x x) -1) (+ (* x x) 1)) (+ (* x x) -1) (+ (* x x) 1) (/ x (+ (* x x) -1)))
2.0ms
x
@0
((/ x (+ (* x x) 1)) (+ (* (* (+ (* x x) -1) x) (* x x)) x) (* (+ (* x x) -1) x) (neg x) (* (* (+ (* x x) 1) (+ 1 x)) (- x 1)) (* (/ x (* (* (+ (* x x) 1) (+ 1 x)) (- x 1))) (+ (* x x) -1)) (/ x (* (* (+ (* x x) 1) (+ 1 x)) (- x 1))) (* (+ (* x x) 1) (+ 1 x)) (* (/ x (+ (* (* x (* (neg x) x)) (neg x)) -1)) (+ (* x x) -1)) (+ (* (* x (* (neg x) x)) (neg x)) -1) (* x (* (neg x) x)) (/ x (+ (* (* x (* (neg x) x)) (neg x)) -1)) (* (/ (+ (* x x) -1) (+ (* x x) 1)) (/ x (+ (* x x) -1))) (/ (+ (* x x) -1) (+ (* x x) 1)) (+ (* x x) -1) (+ (* x x) 1) (/ x (+ (* x x) -1)))

simplify297.0ms (4.6%)

Memory
42.4MiB live, 204.7MiB allocated; 41ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0169727
1471713
21422697
35642697
08296682
Stop Event
1×iter limit
1×node limit
Counts
63 → 62
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
(* -1 x)
(* x (- (pow x 2) 1))
-1
(- (pow x 4) 1)
(* x (- (* -1 (pow x 4)) 1))
(* x (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1))
(* x (- (* (pow x 4) (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1)) 1))
1
(+ 1 x)
(+ 1 (* x (+ 1 x)))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(* -1 (pow x 3))
(- (* 2 (pow x 2)) 1)
(- (* (pow x 2) (+ 2 (* -2 (pow x 2)))) 1)
(- (* (pow x 2) (+ 2 (* (pow x 2) (- (* 2 (pow x 2)) 2)))) 1)
(- (pow x 2) 1)
(+ 1 (pow x 2))
(* x (- (* -1 (pow x 2)) 1))
(* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1))
(/ 1 x)
(/ (- 1 (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(pow x 5)
(* (pow x 5) (- 1 (/ 1 (pow x 2))))
(* (pow x 5) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(pow x 4)
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(/ 1 (pow x 3))
(/ (+ 1 (/ 1 (pow x 4))) (pow x 3))
(/ (+ 1 (+ (/ 1 (pow x 4)) (/ 1 (pow x 8)))) (pow x 3))
(/ (+ 1 (+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 8)) (/ 1 (pow x 12))))) (pow x 3))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(- 1 (* 2 (/ 1 (pow x 2))))
(- (+ 1 (/ 2 (pow x 4))) (* 2 (/ 1 (pow x 2))))
(- (+ 1 (/ 2 (pow x 4))) (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(/ (+ 1 (/ 1 (pow x 2))) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) 1)))
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4))))))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 4))) (pow x 4))) 1) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 4))) (pow x 8))) (+ 1 (/ 1 (pow x 4)))) (pow x 3)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x))
Outputs
x
(* x (+ 1 (* -1 (pow x 2))))
(-.f64 x (pow.f64 x #s(literal 3 binary64)))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) x)
(* -1 x)
(neg.f64 x)
(* x (- (pow x 2) 1))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
-1
#s(literal -1 binary64)
(- (pow x 4) 1)
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(* x (- (* -1 (pow x 4)) 1))
(*.f64 (-.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) x)
(* x (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1))
(*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) x)
(* x (- (* (pow x 4) (- (* (pow x 4) (- (* -1 (pow x 4)) 1)) 1)) 1))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 x)))
(fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(- (* 2 (pow x 2)) 1)
(fma.f64 x x (fma.f64 x x #s(literal -1 binary64)))
(- (* (pow x 2) (+ 2 (* -2 (pow x 2)))) 1)
(fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))))
(- (* (pow x 2) (+ 2 (* (pow x 2) (- (* 2 (pow x 2)) 2)))) 1)
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(* x (- (* -1 (pow x 2)) 1))
(*.f64 (-.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) x)
(* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x)
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 (pow x 2))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x))
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) x)
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* (pow x 5) (- 1 (/ 1 (pow x 2))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(* (pow x 5) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 x #s(literal 3 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 1 (/ 1 (pow x 4))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 1 (+ (/ 1 (pow x 4)) (/ 1 (pow x 8)))) (pow x 3))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 1 (+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 8)) (/ 1 (pow x 12))))) (pow x 3))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 x x x) x x)
(* (pow x 3) (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(- 1 (* 2 (/ 1 (pow x 2))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(- (+ 1 (/ 2 (pow x 4))) (* 2 (/ 1 (pow x 2))))
(-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(- (+ 1 (/ 2 (pow x 4))) (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(/ (+ 1 (/ 1 (pow x 2))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) x) (*.f64 x x))
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) x)) x)
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (neg.f64 x))
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 x))
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 x))
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) 1)))
(*.f64 (neg.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4))))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 4))) (pow x 4))) 1) (pow x 3)))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 4))) (pow x 8))) (+ 1 (/ 1 (pow x 4)))) (pow x 3)))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 8 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(literal 1 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64))) (neg.f64 x))

rewrite316.0ms (4.9%)

Memory
-0.7MiB live, 299.0MiB allocated; 61ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029183
050171
1184123
21578122
08701122
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 1 938
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x))
(fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x)
#s(approx (* (+ (* x x) -1) x) (neg.f64 x))
(neg.f64 x)
(*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 x (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 x (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 x (fma.f64 (*.f64 x (*.f64 (neg.f64 x) x)) (neg.f64 x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (*.f64 x (*.f64 (neg.f64 x) x)) (neg.f64 x) #s(literal -1 binary64))
(*.f64 x (*.f64 (neg.f64 x) x))
(/.f64 x (fma.f64 (*.f64 x (*.f64 (neg.f64 x) x)) (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (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 (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 x #s(literal 1 binary64))
(/.f64 x (fma.f64 x x #s(literal -1 binary64)))
Outputs
#s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x))
(*.f64 (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) x #s(literal 1 binary64)) x)
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) x)) (/.f64 (pow.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) x)))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) x)) x) (*.f64 (neg.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) x)) x))) (+.f64 x (*.f64 (neg.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) x)) x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x))) (*.f64 x x)) (*.f64 (neg.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x))) (*.f64 x x)))) (+.f64 x (*.f64 (neg.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x))) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64)))))))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) x)) (/.f64 (pow.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) x)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) x)) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) x)) x) (*.f64 (neg.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) x)) x) (*.f64 x (*.f64 (neg.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) x)) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x))) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x))) (*.f64 x x)) (*.f64 (neg.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x))) (*.f64 x x)) (*.f64 x (*.f64 (neg.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x))) (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(approx (* (+ (* x x) -1) x) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x (*.f64 (*.f64 (neg.f64 x) x) #s(approx (* (+ (* x x) -1) x) (neg.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64)))))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) x)) (*.f64 (-.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) x) (-.f64 (*.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x)) x)))
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eval370.0ms (5.8%)

Memory
-2.6MiB live, 361.1MiB allocated; 99ms collecting garbage
Compiler

Compiled 48 081 to 4 959 computations (89.7% saved)

prune42.0ms (0.6%)

Memory
-15.7MiB live, 79.0MiB allocated; 6ms collecting garbage
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New1 48411 485
Fresh000
Picked224
Done044
Total1 48671 493
Accuracy
100.0%
Counts
1 493 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓78.9%
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓51.5%
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
71.0%
(*.f64 (/.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))
✓65.6%
(*.f64 (/.f64 x (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
✓51.1%
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x))
✓50.2%
#s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x))
✓51.1%
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 304 to 123 computations (59.5% saved)

regimes9.0ms (0.1%)

Memory
17.6MiB live, 17.6MiB allocated; 0ms collecting garbage
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x))
(*.f64 (/.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 (*.f64 x (*.f64 (neg.f64 x) x)) (neg.f64 x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 x (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))) (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 x (fma.f64 x x #s(literal -1 binary64))))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 x (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))
Outputs
(*.f64 (/.f64 (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))))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
Calls

2 calls:

4.0ms
x
4.0ms
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.9%2(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
100.0%2x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x))
(*.f64 (/.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 (*.f64 x (*.f64 (neg.f64 x) x)) (neg.f64 x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 x (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
Outputs
(*.f64 (/.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
100.0%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x x) x))
Outputs
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
100.0%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x))
Outputs
#s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
Calls

2 calls:

2.0ms
x
1.0ms
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
76.6%3(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
98.7%2x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes1.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
Outputs
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
98.6%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes4.0ms (0.1%)

Memory
-40.1MiB live, 6.0MiB allocated; 2ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

2.0ms
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
1.0ms
x
Results
AccuracySegmentsBranch
51.1%1(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
51.1%1x
Compiler

Compiled 8 to 6 computations (25% saved)

bsearch3.0ms (0%)

Memory
5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
3.0ms
2957130.1020753453
122219528564.65929
Samples
1.0ms32×0valid
Compiler

Compiled 64 to 45 computations (29.7% saved)

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

bsearch2.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
1.0ms
2957130.1020753453
122219528564.65929
Samples
1.0ms16×0valid
Compiler

Compiled 85 to 60 computations (29.4% saved)

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

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
0.0ms
2957130.1020753453
122219528564.65929
Compiler

Compiled 44 to 37 computations (15.9% saved)

bsearch11.0ms (0.2%)

Memory
23.4MiB live, 23.4MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
9.0ms
0.0004582786091693272
2.2128686626471272
Samples
5.0ms128×0valid
Compiler

Compiled 282 to 193 computations (31.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (38.6% of total)
ival-add: 1.0ms (38.6% of total)
ival-mult: 1.0ms (38.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch5.0ms (0.1%)

Memory
10.7MiB live, 10.7MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
4.0ms
0.0004582786091693272
2.2128686626471272
Samples
2.0ms48×0valid
Compiler

Compiled 170 to 145 computations (14.7% saved)

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

simplify65.0ms (1%)

Memory
-31.1MiB live, 62.5MiB allocated; 19ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037154
154154
2104153
3223152
4475152
51405152
63211152
75429152
Stop Event
1×node limit
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 1000000000 binary64)) (*.f64 (/.f64 (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)))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 1000000000 binary64)) (*.f64 (/.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 1000000000 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) #s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x)) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
Outputs
(if (<=.f64 x #s(literal 1000000000 binary64)) (*.f64 (/.f64 (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)))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 1000000000 binary64)) (*.f64 (/.f64 (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)))) #s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64))))
(if (<=.f64 x #s(literal 1000000000 binary64)) (*.f64 (/.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 1000000000 binary64)) (*.f64 (/.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64))))
(if (<=.f64 x #s(literal 1000000000 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 1000000000 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64))))
(if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) #s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x)) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) #s(approx (/ x (+ (* x x) 1)) (fma.f64 #s(approx (* (+ (* x x) -1) x) (neg.f64 x)) (*.f64 x x) x)) #s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64))))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64)))

derivations810.0ms (12.7%)

Memory
29.5MiB live, 585.8MiB allocated; 118ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095415
1241405
2635403
32257399
46580399
09171394
045152
1128150
2336142
31106140
42977137
57066135
08174131
02290
03485
111485
269585
0962985
0515
0815
13315
222015
3239615
0940113
01670
02570
111063
279462
01025158
029183
050171
1184123
21578122
08701122
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 154 to 39 computations (74.7% saved)

preprocess113.0ms (1.8%)

Memory
22.0MiB live, 111.8MiB allocated; 18ms collecting garbage
Compiler

Compiled 460 to 166 computations (63.9% saved)

end0.0ms (0%)

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

Profiling

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