2frac (problem 3.3.1)

Time bar (total: 5.0s)

start0.0ms (0%)

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

analyze28.0ms (0.6%)

Memory
-51.8MiB live, 3.7MiB allocated; 32ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
75%75%25%0%0%0%0%4
87.5%87.5%12.5%0%0%0%0%5
93.8%93.7%6.2%0%0%0%0%6
96.9%96.8%3.1%0%0%0%0%7
98.4%98.4%1.6%0%0%0%0%8
99.2%99.2%0.8%0%0%0%0%9
99.6%99.6%0.4%0%0%0%0%10
99.8%99.8%0.2%0%0%0%0%11
99.9%99.9%0.1%0%0%0%0%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.5s (30.4%)

Memory
-86.9MiB live, 1 398.1MiB allocated; 1.3s collecting garbage
Samples
993.0ms3 977×1valid
234.0ms4 279×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-sub: 491.0ms (49% of total)
ival-div: 196.0ms (19.5% of total)
ival-add: 157.0ms (15.7% of total)
adjust: 146.0ms (14.6% of total)
ival-true: 6.0ms (0.6% of total)
exact: 5.0ms (0.5% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain99.0ms (2%)

Memory
39.2MiB live, 133.1MiB allocated; 4ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
651(-145.9624422055537)0-(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
00-0-(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(/.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))cancellation660
Confusion
Predicted +Predicted -
+650
-1190
Precision
0.9848484848484849
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6500
-10190
Precision?
0.9848484848484849
Recall?
1.0
Freqs
test
numberfreq
0190
166
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
27.0ms240×1valid
13.0ms272×0valid
Compiler

Compiled 57 to 22 computations (61.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-div: 11.0ms (43.2% of total)
adjust: 6.0ms (23.6% of total)
ival-add: 4.0ms (15.7% of total)
ival-sub: 3.0ms (11.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess19.0ms (0.4%)

Memory
-33.8MiB live, 19.3MiB allocated; 13ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
11321
21621
069
0109
1139
0139
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶77.3%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify3.0ms (0.1%)

Memory
4.0MiB live, 4.0MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0622
01022
11322
01322
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
x
(/.f64 #s(literal 1 binary64) x)
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
x
(/.f64 #s(literal 1 binary64) x)

localize31.0ms (0.6%)

Memory
1.0MiB live, 43.9MiB allocated; 10ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 #s(literal 1 binary64) x)
accuracy0.0
(+.f64 x #s(literal 1 binary64))
accuracy0.01171875
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy14.544676030405988
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Samples
14.0ms120×1valid
7.0ms136×0valid
Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 5.0ms (37.5% of total)
adjust: 3.0ms (22.5% of total)
ival-add: 3.0ms (22.5% of total)
ival-sub: 2.0ms (15% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory
4.0MiB live, 4.0MiB allocated; 0ms collecting garbage
Counts
4 → 24
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
Outputs
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(+ 1 x)
(/ 1 x)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
x
(* x (+ 1 (/ 1 x)))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (+ x 1) (/ 1 x))
1.0ms
x
@0
((- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (+ x 1) (/ 1 x))
0.0ms
x
@inf
((- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (+ x 1) (/ 1 x))

simplify202.0ms (4%)

Memory
-4.2MiB live, 141.9MiB allocated; 113ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053229
1144206
2349198
3978196
43081194
08373190
Stop Event
1×iter limit
1×node limit
Counts
24 → 23
Calls
Call 1
Inputs
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(+ 1 x)
(/ 1 x)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
x
(* x (+ 1 (/ 1 x)))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
Outputs
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(neg.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) x)) (pow.f64 x #s(literal 3 binary64))))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) x)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))
(/ (- 1 (/ 1 x)) x)
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) x)) (*.f64 x x))
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(neg.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) x)) (pow.f64 x #s(literal 3 binary64))))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) x)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) x)) (*.f64 x x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)

rewrite152.0ms (3%)

Memory
-8.7MiB live, 232.9MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0620
01020
15220
239520
3587120
0867418
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 349
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) x)) (neg.f64 (neg.f64 (fma.f64 x x x))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -4 binary64)) (-.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -2 binary64))))) (-.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -6 binary64)))) (fma.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -4 binary64))))
(*.f64 (/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) x)
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal -1 binary64) x (+.f64 x #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (-.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x x))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x x x))
(*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (-.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (-.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))))
(/.f64 (/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) x) (+.f64 x #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (/.f64 (-.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) x)
(/.f64 (/.f64 (-.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 x #s(literal 1 binary64))) x)
(/.f64 (/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) x) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))))
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(pow.f64 (fabs.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (pow.f64 x #s(literal -1 binary64)))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(-.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x)))
(fabs.f64 (pow.f64 x #s(literal -1 binary64)))
(+.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (neg.f64 (log.f64 x))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (log.f64 x)))

eval45.0ms (0.9%)

Memory
16.5MiB live, 109.4MiB allocated; 4ms collecting garbage
Compiler

Compiled 7 012 to 1 014 computations (85.5% saved)

prune11.0ms (0.2%)

Memory
-25.0MiB live, 26.4MiB allocated; 4ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New3588366
Fresh000
Picked101
Done000
Total3598367
Accuracy
100.0%
Counts
367 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶78.0%
(/.f64 (/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) x)
▶78.0%
(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x x))
▶52.9%
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
52.8%
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
49.1%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
47.8%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) x)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
▶40.4%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))
▶53.7%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
Compiler

Compiled 234 to 150 computations (35.9% saved)

simplify162.0ms (3.2%)

Memory
50.8MiB live, 183.3MiB allocated; 19ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
cost-diff1
(/.f64 (/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) x)
cost-diff4
(-.f64 x (+.f64 x #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x))
cost-diff0
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
cost-diff0
(fma.f64 x x x)
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x x))
cost-diff4
(-.f64 x (+.f64 x #s(literal 1 binary64)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023135
036138
158114
2114108
3261108
4597108
51824108
67553108
08076108
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x x))
(-.f64 x (+.f64 x #s(literal 1 binary64)))
x
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 x x x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) x)
(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(-.f64 x (+.f64 x #s(literal 1 binary64)))
x
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x x))
(/.f64 #s(literal -1 binary64) (fma.f64 x x x))
(-.f64 x (+.f64 x #s(literal 1 binary64)))
#s(literal -1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(fma.f64 x x x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) x)
(/.f64 #s(literal -1 binary64) (fma.f64 x x x))
(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))
(-.f64 x (+.f64 x #s(literal 1 binary64)))
#s(literal -1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)

localize100.0ms (2%)

Memory
-2.8MiB live, 188.4MiB allocated; 15ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 x #s(literal 3 binary64))
accuracy0.0
(-.f64 #s(literal 1 binary64) x)
accuracy5.07324372413489
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
accuracy33.12245082285691
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))
accuracy0.0
(+.f64 x #s(literal 1 binary64))
accuracy0.01171875
(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
accuracy0.07421875
(/.f64 (/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) x)
accuracy28.581381526210787
(-.f64 x (+.f64 x #s(literal 1 binary64)))
accuracy0.0
(/.f64 #s(literal 1 binary64) x)
accuracy0.0
(-.f64 #s(literal 1 binary64) x)
accuracy14.544676030405988
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
accuracy30.576481124793506
#s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x))
accuracy0.0
(/.f64 #s(literal -1 binary64) x)
accuracy29.6170543127477
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
accuracy0.0
(fma.f64 x x x)
accuracy0.0
(+.f64 x #s(literal 1 binary64))
accuracy0.43158613089631753
(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x x))
accuracy28.581381526210787
(-.f64 x (+.f64 x #s(literal 1 binary64)))
Samples
37.0ms122×1valid
27.0ms134×0valid
Compiler

Compiled 119 to 20 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-div: 15.0ms (35.2% of total)
adjust: 8.0ms (18.8% of total)
ival-sub: 6.0ms (14.1% of total)
ival-pow: 6.0ms (14.1% of total)
ival-add: 4.0ms (9.4% of total)
ival-mult: 3.0ms (7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series71.0ms (1.4%)

Memory
-48.7MiB live, 15.8MiB allocated; 103ms collecting garbage
Counts
15 → 43
Calls
Call 1
Inputs
(-.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x x))
(+.f64 x #s(literal 1 binary64))
(fma.f64 x x x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) x)
(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
Outputs
-1
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
1
(+ 1 x)
x
(* x (+ 1 x))
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 1 x)
(- x 1)
(- (* x (+ 1 (* -1 x))) 1)
(- (* x (+ 1 (* x (- x 1)))) 1)
(/ 1 (pow x 3))
(/ (+ 1 (* -1 x)) (pow x 3))
(pow x 3)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(* x (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(* -1 x)
(* x (- (/ 1 x) 1))
(/ (- (/ 1 x) 1) x)
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x)
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x)
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (/ (- 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x))
Calls

3 calls:

TimeVariablePointExpression
67.0ms
x
@-inf
((- x (+ x 1)) (/ (- x (+ x 1)) (+ (* x x) x)) (+ x 1) (+ (* x x) x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ -1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (- 1 x) (/ 1 x) (/ (/ (- x (+ x 1)) (+ x 1)) x) (/ (- x (+ x 1)) (+ x 1)) (- (/ 1 (+ x 1)) (/ 1 x)) (/ (- 1 x) (pow x 3)) (pow x 3))
2.0ms
x
@0
((- x (+ x 1)) (/ (- x (+ x 1)) (+ (* x x) x)) (+ x 1) (+ (* x x) x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ -1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (- 1 x) (/ 1 x) (/ (/ (- x (+ x 1)) (+ x 1)) x) (/ (- x (+ x 1)) (+ x 1)) (- (/ 1 (+ x 1)) (/ 1 x)) (/ (- 1 x) (pow x 3)) (pow x 3))
1.0ms
x
@inf
((- x (+ x 1)) (/ (- x (+ x 1)) (+ (* x x) x)) (+ x 1) (+ (* x x) x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ -1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (- 1 x) (/ 1 x) (/ (/ (- x (+ x 1)) (+ x 1)) x) (/ (- x (+ x 1)) (+ x 1)) (- (/ 1 (+ x 1)) (/ 1 x)) (/ (- 1 x) (pow x 3)) (pow x 3))

simplify115.0ms (2.3%)

Memory
43.2MiB live, 185.8MiB allocated; 16ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068368
1200324
2536320
32211318
47545318
08045302
Stop Event
1×iter limit
1×node limit
Counts
43 → 42
Calls
Call 1
Inputs
-1
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
1
(+ 1 x)
x
(* x (+ 1 x))
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 1 x)
(- x 1)
(- (* x (+ 1 (* -1 x))) 1)
(- (* x (+ 1 (* x (- x 1)))) 1)
(/ 1 (pow x 3))
(/ (+ 1 (* -1 x)) (pow x 3))
(pow x 3)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(* x (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(* -1 x)
(* x (- (/ 1 x) 1))
(/ (- (/ 1 x) 1) x)
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x)
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x)
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (/ (- 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x))
Outputs
-1
#s(literal -1 binary64)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) x)
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
x
(* x (+ 1 x))
(fma.f64 x x x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(fma.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x #s(literal 1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- (* x (+ 1 (* -1 x))) 1)
(-.f64 x (fma.f64 x x #s(literal 1 binary64)))
(- (* x (+ 1 (* x (- x 1)))) 1)
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/ 1 (pow x 3))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))
(/ (+ 1 (* -1 x)) (pow x 3))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 x x))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(/ (- 1 (/ 1 x)) x)
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)))) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(/ (- (/ 1 x) 1) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) (*.f64 x x))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) x)
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/.f64 (-.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 x x))
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)))) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (/ (- 1 (/ 1 x)) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) (*.f64 x x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x))
(/.f64 (-.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) x)

rewrite200.0ms (4%)

Memory
-17.0MiB live, 219.4MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023113
036112
114890
2116890
0845888
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 801
Calls
Call 1
Inputs
(-.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x x))
(+.f64 x #s(literal 1 binary64))
(fma.f64 x x x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) x)
(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
Outputs
#s(literal -1 binary64)
(*.f64 (/.f64 (+.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (-.f64 #s(literal 1 binary64) x) x)) (/.f64 (-.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)))
(*.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x) (+.f64 (-.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal -1 binary64) (fma.f64 x x x)))
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (-.f64 #s(literal 1 binary64) x) x) (*.f64 x x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (-.f64 #s(literal 1 binary64) x) x) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x x x)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 x x) #s(literal 1 binary64))) x) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) x) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(pow.f64 (neg.f64 (fma.f64 x x x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))) (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x x)) (/.f64 #s(literal 0 binary64) (fma.f64 x x x)) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (fma.f64 x x x)) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (fma.f64 x x x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (fma.f64 x x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 x (fma.f64 x x x)) (pow.f64 x #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) (neg.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x (fma.f64 x x x)) (*.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (pow.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (+.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (*.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (pow.f64 x #s(literal -3 binary64)))) (*.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (+.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x x) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))))) (*.f64 (fma.f64 x x x) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 x x x) (pow.f64 x #s(literal -1 binary64)))) (*.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (fma.f64 x x x) (*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1 binary64)))) (*.f64 (fma.f64 x x x) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 x x x) (exp.f64 (neg.f64 (log1p.f64 x))))) (*.f64 (fma.f64 x x x) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x x))) (*.f64 (fma.f64 x x x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x x) (neg.f64 (fma.f64 x x x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (fma.f64 x x x) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x x)) (*.f64 (fma.f64 x x x) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))) (*.f64 x (-.f64 (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))))
(/.f64 (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x x))) (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 x (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x x))))
(/.f64 (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (neg.f64 (fma.f64 x x x))) (*.f64 x (+.f64 (neg.f64 x) #s(literal -1 binary64)))) (*.f64 x (neg.f64 (fma.f64 x x x))))
(/.f64 (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (neg.f64 x)) (*.f64 x #s(literal -1 binary64))) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) (fma.f64 x x x)) (*.f64 x (fma.f64 x x x)))
(/.f64 (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (neg.f64 (neg.f64 x))) x) (*.f64 x (neg.f64 (neg.f64 x))))
(/.f64 (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) x) x) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))) (*.f64 (neg.f64 (fma.f64 x x x)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (neg.f64 (fma.f64 x x x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x x))) (*.f64 (neg.f64 (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (neg.f64 (fma.f64 x x x)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x x))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 (fma.f64 x x x))) (*.f64 (neg.f64 (fma.f64 x x x)) (+.f64 (neg.f64 x) #s(literal -1 binary64)))) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (fma.f64 x x x)) #s(literal -1 binary64))) (*.f64 (neg.f64 (fma.f64 x x x)) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (fma.f64 x x x)) (*.f64 (neg.f64 (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (fma.f64 x x x)) (fma.f64 x x x)))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 (fma.f64 x x x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 x x x)) (neg.f64 (neg.f64 x))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (fma.f64 x x x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 x x x)) x))
(/.f64 (-.f64 (*.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))) (*.f64 (fma.f64 x x x) (-.f64 (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (fma.f64 x x x) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))))
(/.f64 (-.f64 (*.f64 x (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x x))) (*.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x x))))
(/.f64 (-.f64 (*.f64 x (neg.f64 (fma.f64 x x x))) (*.f64 (fma.f64 x x x) (+.f64 (neg.f64 x) #s(literal -1 binary64)))) (*.f64 (fma.f64 x x x) (neg.f64 (fma.f64 x x x))))
(/.f64 (-.f64 (*.f64 x (neg.f64 x)) (*.f64 (fma.f64 x x x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x x) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 x (neg.f64 (neg.f64 x))) (*.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (fma.f64 x x x) (neg.f64 (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (fma.f64 x x x) x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x x))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x x))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (neg.f64 (fma.f64 x x x))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x x x)) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (fma.f64 x x x)))
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(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 x (pow.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 x (pow.f64 x #s(literal 3 binary64))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)))
(*.f64 (*.f64 x (neg.f64 x)) (neg.f64 x))
(*.f64 (neg.f64 (*.f64 x x)) x)
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) (*.f64 x x))
(*.f64 (*.f64 x x) (neg.f64 x))
(*.f64 (*.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 x (neg.f64 (*.f64 x x)))
(*.f64 x (*.f64 x x))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(fabs.f64 (pow.f64 x #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))

eval112.0ms (2.2%)

Memory
0.8MiB live, 132.4MiB allocated; 22ms collecting garbage
Compiler

Compiled 21 718 to 2 506 computations (88.5% saved)

prune20.0ms (0.4%)

Memory
-3.4MiB live, 53.5MiB allocated; 9ms collecting garbage
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New8016807
Fresh213
Picked415
Done000
Total8078815
Accuracy
100.0%
Counts
815 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(/.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) x)
42.2%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x x))) (*.f64 (fma.f64 x x x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x x) (neg.f64 (fma.f64 x x x))))
▶99.3%
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
▶52.8%
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
▶49.1%
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
27.2%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))))
▶40.4%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x)))
✓53.7%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
Compiler

Compiled 249 to 153 computations (38.6% saved)

simplify189.0ms (3.8%)

Memory
-11.8MiB live, 222.1MiB allocated; 32ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x))
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x)))
cost-diff2
(*.f64 (*.f64 x x) x)
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
cost-diff0
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
cost-diff0
(fma.f64 x x x)
cost-diff0
#s(approx (- x (+ x 1)) #s(literal -1 binary64))
cost-diff0
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
#s(approx (- x (+ x 1)) #s(literal -1 binary64))
cost-diff0
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
cost-diff1
(/.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) x)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028152
041151
162121
2126118
3268118
4585118
51693118
66376118
08153118
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) x)
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
#s(approx (- x (+ x 1)) #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
x
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
#s(approx (- x (+ x 1)) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 x x x)
x
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (*.f64 x x) x)
(*.f64 x x)
Outputs
(/.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) x)
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))
#s(approx (- x (+ x 1)) #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
x
#s(literal 1 binary64)
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
x
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
#s(approx (- x (+ x 1)) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 x x x)
x
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (*.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)

localize70.0ms (1.4%)

Memory
45.4MiB live, 89.7MiB allocated; 5ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.078125
(*.f64 (*.f64 x x) x)
accuracy5.07324372413489
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x))
accuracy33.12245082285691
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x)))
accuracy0.0
(/.f64 #s(literal -1 binary64) x)
accuracy0.125
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
accuracy32.536354927483096
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
accuracy0.0
(fma.f64 x x x)
accuracy0.0
#s(approx (- x (+ x 1)) #s(literal -1 binary64))
accuracy0.43158613089631753
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
accuracy0.0
(/.f64 #s(literal 1 binary64) x)
accuracy14.544676030405988
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
accuracy30.14891233196689
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
accuracy0.0
(+.f64 x #s(literal 1 binary64))
accuracy0.0
#s(approx (- x (+ x 1)) #s(literal -1 binary64))
accuracy0.01171875
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
accuracy0.07421875
(/.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) x)
Samples
38.0ms122×1valid
17.0ms134×0valid
Compiler

Compiled 127 to 20 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-div: 16.0ms (40.3% of total)
ival-add: 7.0ms (17.6% of total)
adjust: 7.0ms (17.6% of total)
ival-mult: 5.0ms (12.6% of total)
ival-sub: 4.0ms (10.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
-37.1MiB live, 7.8MiB allocated; 5ms collecting garbage
Counts
17 → 43
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) x)
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
#s(approx (- x (+ x 1)) #s(literal -1 binary64))
(+.f64 x #s(literal 1 binary64))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
(fma.f64 x x x)
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 #s(literal -1 binary64) x)
(*.f64 (*.f64 x x) x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 x x)
Outputs
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
-1
(- x 1)
(- (* x (+ 1 (* -1 x))) 1)
(- (* x (+ 1 (* x (- x 1)))) 1)
1
(+ 1 x)
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 1 x)
x
(* x (+ 1 x))
(/ -1 (pow x 2))
(pow x 3)
(/ 1 (pow x 3))
(/ (+ 1 (* -1 x)) (pow x 3))
(pow x 2)
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (/ 1 x) 1) x)
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x)
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x)
(* x (+ 1 (/ 1 x)))
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(* (pow x 2) (+ 1 (/ 1 x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(* -1 (/ (- 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(* -1 (* x (- 1 (/ 1 x))))
Calls

3 calls:

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

simplify117.0ms (2.3%)

Memory
12.1MiB live, 148.2MiB allocated; 24ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068368
1200324
2537320
32207318
47582318
08036302
Stop Event
1×iter limit
1×node limit
Counts
43 → 42
Calls
Call 1
Inputs
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
-1
(- x 1)
(- (* x (+ 1 (* -1 x))) 1)
(- (* x (+ 1 (* x (- x 1)))) 1)
1
(+ 1 x)
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 1 x)
x
(* x (+ 1 x))
(/ -1 (pow x 2))
(pow x 3)
(/ 1 (pow x 3))
(/ (+ 1 (* -1 x)) (pow x 3))
(pow x 2)
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (/ 1 x) 1) x)
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x)
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x)
(* x (+ 1 (/ 1 x)))
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(* (pow x 2) (+ 1 (/ 1 x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(* -1 (/ (- 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(* -1 (* x (- 1 (/ 1 x))))
Outputs
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) x)
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- (* x (+ 1 (* -1 x))) 1)
(-.f64 x (fma.f64 x x #s(literal 1 binary64)))
(- (* x (+ 1 (* x (- x 1)))) 1)
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(fma.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x #s(literal 1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 x))
(fma.f64 x x x)
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(/ 1 (pow x 3))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))
(/ (+ 1 (* -1 x)) (pow x 3))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(pow x 2)
(*.f64 x x)
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 x x))
(/ (- (/ 1 x) 1) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) (*.f64 x x))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) x)
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(/ (- 1 (/ 1 x)) x)
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)))) x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/.f64 (-.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 x x))
(* -1 (/ (- 1 (/ 1 x)) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) (*.f64 x x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x))
(/.f64 (-.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) x)
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)))) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)

rewrite163.0ms (3.3%)

Memory
13.0MiB live, 158.6MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028134
041127
1151104
21120102
08639100
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 524
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) x)
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
#s(approx (- x (+ x 1)) #s(literal -1 binary64))
(+.f64 x #s(literal 1 binary64))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
(fma.f64 x x x)
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 #s(literal -1 binary64) x)
(*.f64 (*.f64 x x) x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 x x)
Outputs
(*.f64 (/.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.f64 (/.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) x) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) x))
(*.f64 (/.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) x) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x))
(*.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x x x)))))
(/.f64 (neg.f64 (neg.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x x))))
(/.f64 (/.f64 (neg.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (/.f64 (neg.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(/.f64 (neg.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x x)))
(/.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) x)
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
(neg.f64 (/.f64 (neg.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64))) (fma.f64 x x x)))
(neg.f64 (/.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
(neg.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (neg.f64 (fma.f64 x x x))))
(*.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64))))) (neg.f64 (neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64))) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(neg.f64 (/.f64 (neg.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (- x (+ x 1)) #s(literal -1 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (*.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 x x))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 x x))) (*.f64 (neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
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(fma.f64 (fabs.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (fabs.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x (neg.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (fabs.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (fabs.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (fabs.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x (neg.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 (*.f64 x (neg.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 x (neg.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x (neg.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (/.f64 (*.f64 x (neg.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal 1 binary64) (/.f64 (*.f64 x (neg.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(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))
(neg.f64 (*.f64 x (neg.f64 x)))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval50.0ms (1%)

Memory
24.1MiB live, 69.2MiB allocated; 4ms collecting garbage
Compiler

Compiled 12 090 to 1 523 computations (87.4% saved)

prune11.0ms (0.2%)

Memory
-21.6MiB live, 23.5MiB allocated; 4ms collecting garbage
Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New4513454
Fresh112
Picked145
Done011
Total4539462
Accuracy
100.0%
Counts
462 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(/.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) x)
▶42.2%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x x))) (*.f64 (fma.f64 x x x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x x) (neg.f64 (fma.f64 x x x))))
✓99.3%
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
✓52.8%
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
✓49.1%
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
▶48.5%
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
▶49.2%
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
▶41.3%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (*.f64 x x) x)))
✓53.7%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
Compiler

Compiled 146 to 91 computations (37.7% saved)

simplify111.0ms (2.2%)

Memory
-12.2MiB live, 91.1MiB allocated; 8ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff1
(*.f64 (fma.f64 x x x) #s(literal -1 binary64))
cost-diff3
(-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x x))) (*.f64 (fma.f64 x x x) #s(literal -1 binary64)))
cost-diff6
(*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x x)))
cost-diff9
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x x))) (*.f64 (fma.f64 x x x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x x) (neg.f64 (fma.f64 x x x))))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 x x))
cost-diff0
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
cost-diff0
(pow.f64 x #s(literal -2 binary64))
cost-diff0
(neg.f64 (pow.f64 x #s(literal -2 binary64)))
cost-diff0
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
cost-diff0
#s(approx (- 1 x) (neg.f64 x))
cost-diff0
(/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (*.f64 x x) x))
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (*.f64 x x) x)))
cost-diff2
(*.f64 (*.f64 x x) x)
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032175
046152
183136
2258125
31382122
46134122
08118122
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (*.f64 x x) x)))
(/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (*.f64 x x) x))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
(*.f64 (*.f64 x x) x)
(*.f64 x x)
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(neg.f64 (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
#s(literal -1 binary64)
(*.f64 x x)
x
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x x))) (*.f64 (fma.f64 x x x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x x) (neg.f64 (fma.f64 x x x))))
(-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x x))) (*.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x x)))
#s(literal 0 binary64)
(neg.f64 (fma.f64 x x x))
(fma.f64 x x x)
x
(*.f64 (fma.f64 x x x) #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (fma.f64 x x x) (neg.f64 (fma.f64 x x x)))
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (*.f64 x x) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (*.f64 x x) x))
(/.f64 #s(approx (- 1 x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
(*.f64 (*.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(neg.f64 (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
#s(literal -1 binary64)
(*.f64 x x)
x
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x x))) (*.f64 (fma.f64 x x x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x x) (neg.f64 (fma.f64 x x x))))
(/.f64 #s(literal -1 binary64) (fma.f64 x x x))
(-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x x))) (*.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(fma.f64 x x x)
(*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x x)))
#s(literal 0 binary64)
#s(literal 0 binary64)
(neg.f64 (fma.f64 x x x))
(*.f64 (-.f64 #s(literal -1 binary64) x) x)
(fma.f64 x x x)
x
(*.f64 (fma.f64 x x x) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal -1 binary64) x) x)
#s(literal -1 binary64)
(*.f64 (fma.f64 x x x) (neg.f64 (fma.f64 x x x)))
(*.f64 (*.f64 (fma.f64 x x x) x) (-.f64 #s(literal -1 binary64) x))

localize103.0ms (2.1%)

Memory
35.4MiB live, 80.5MiB allocated; 6ms collecting garbage
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 (fma.f64 x x x))
accuracy0.08203125
(*.f64 (fma.f64 x x x) (neg.f64 (fma.f64 x x x)))
accuracy14.76554243824885
(*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x x)))
accuracy36.762069072131474
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x x))) (*.f64 (fma.f64 x x x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x x) (neg.f64 (fma.f64 x x x))))
accuracy0.0
(*.f64 x x)
accuracy0.49408613089631753
(/.f64 #s(literal -1 binary64) (*.f64 x x))
accuracy32.536354927483096
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
accuracy0.0
(pow.f64 x #s(literal -2 binary64))
accuracy0.0
(neg.f64 (pow.f64 x #s(literal -2 binary64)))
accuracy32.536354927483096
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
accuracy0.078125
(*.f64 (*.f64 x x) x)
accuracy5.07324372413489
(/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (*.f64 x x) x))
accuracy32.40064375503325
#s(approx (- 1 x) (neg.f64 x))
accuracy33.12245082285691
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (*.f64 x x) x)))
Samples
63.0ms120×1valid
22.0ms136×0valid
Compiler

Compiled 161 to 28 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-add: 24.0ms (34.6% of total)
ival-div: 13.0ms (18.7% of total)
adjust: 9.0ms (13% of total)
ival-mult: 9.0ms (13% of total)
ival-sub: 6.0ms (8.7% of total)
ival-pow: 4.0ms (5.8% of total)
ival-neg: 4.0ms (5.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
-35.9MiB live, 8.8MiB allocated; 5ms collecting garbage
Counts
16 → 32
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (*.f64 x x) x)))
(/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (*.f64 x x) x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(neg.f64 (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(*.f64 x x)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x x))) (*.f64 (fma.f64 x x x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x x) (neg.f64 (fma.f64 x x x))))
(*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x x)))
(-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x x))) (*.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x x) #s(literal -1 binary64))
(*.f64 (fma.f64 x x x) (neg.f64 (fma.f64 x x x)))
(neg.f64 (fma.f64 x x x))
Outputs
(pow x 3)
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ 1 (pow x 3))
(/ (+ 1 (* -1 x)) (pow x 3))
1
(+ 1 (* -1 x))
(/ -1 (pow x 2))
(/ 1 (pow x 2))
(pow x 2)
0
x
(* x (+ 1 x))
(* -1 x)
(* x (- (* -1 x) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (* -2 x) 1))
(* (pow x 2) (- (* x (- (* -1 x) 2)) 1))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(* x (- (/ 1 x) 1))
(* (pow x 2) (+ 1 (/ 1 x)))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* -1 (pow x 4))
(* -1 (* (pow x 4) (+ 1 (* 2 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(* -1 (* x (- 1 (/ 1 x))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@0
((* (* x x) x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ (- 1 x) (* (* x x) x)) (- 1 x) (/ (- x (+ x 1)) (+ (* x x) x)) (neg (pow x -2)) (pow x -2) (/ (- x (+ x 1)) (+ (* x x) x)) (/ -1 (* x x)) (* x x) (/ (- (* 0 (neg (+ (* x x) x))) (* (+ (* x x) x) -1)) (* (+ (* x x) x) (neg (+ (* x x) x)))) (* 0 (neg (+ (* x x) x))) (- (* 0 (neg (+ (* x x) x))) (* (+ (* x x) x) -1)) (* (+ (* x x) x) -1) (* (+ (* x x) x) (neg (+ (* x x) x))) (neg (+ (* x x) x)))
2.0ms
x
@-inf
((* (* x x) x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ (- 1 x) (* (* x x) x)) (- 1 x) (/ (- x (+ x 1)) (+ (* x x) x)) (neg (pow x -2)) (pow x -2) (/ (- x (+ x 1)) (+ (* x x) x)) (/ -1 (* x x)) (* x x) (/ (- (* 0 (neg (+ (* x x) x))) (* (+ (* x x) x) -1)) (* (+ (* x x) x) (neg (+ (* x x) x)))) (* 0 (neg (+ (* x x) x))) (- (* 0 (neg (+ (* x x) x))) (* (+ (* x x) x) -1)) (* (+ (* x x) x) -1) (* (+ (* x x) x) (neg (+ (* x x) x))) (neg (+ (* x x) x)))
1.0ms
x
@inf
((* (* x x) x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ (- 1 x) (* (* x x) x)) (- 1 x) (/ (- x (+ x 1)) (+ (* x x) x)) (neg (pow x -2)) (pow x -2) (/ (- x (+ x 1)) (+ (* x x) x)) (/ -1 (* x x)) (* x x) (/ (- (* 0 (neg (+ (* x x) x))) (* (+ (* x x) x) -1)) (* (+ (* x x) x) (neg (+ (* x x) x)))) (* 0 (neg (+ (* x x) x))) (- (* 0 (neg (+ (* x x) x))) (* (+ (* x x) x) -1)) (* (+ (* x x) x) -1) (* (+ (* x x) x) (neg (+ (* x x) x))) (neg (+ (* x x) x)))

simplify211.0ms (4.2%)

Memory
-11.9MiB live, 138.3MiB allocated; 24ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074232
1193222
2557212
31703206
45302204
08342201
Stop Event
1×iter limit
1×node limit
Counts
32 → 31
Calls
Call 1
Inputs
(pow x 3)
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ 1 (pow x 3))
(/ (+ 1 (* -1 x)) (pow x 3))
1
(+ 1 (* -1 x))
(/ -1 (pow x 2))
(/ 1 (pow x 2))
(pow x 2)
0
x
(* x (+ 1 x))
(* -1 x)
(* x (- (* -1 x) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (* -2 x) 1))
(* (pow x 2) (- (* x (- (* -1 x) 2)) 1))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(* x (- (/ 1 x) 1))
(* (pow x 2) (+ 1 (/ 1 x)))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* -1 (pow x 4))
(* -1 (* (pow x 4) (+ 1 (* 2 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(* -1 (* x (- 1 (/ 1 x))))
Outputs
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) x)
(/ 1 (pow x 3))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))
(/ (+ 1 (* -1 x)) (pow x 3))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(pow x 2)
(*.f64 x x)
0
#s(literal 0 binary64)
x
(* x (+ 1 x))
(fma.f64 x x x)
(* -1 x)
(neg.f64 x)
(* x (- (* -1 x) 1))
(*.f64 (-.f64 #s(literal -1 binary64) x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* -2 x) 1))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (- (* x (- (* -1 x) 2)) 1))
(*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) x) x)
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(neg.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) x)) (pow.f64 x #s(literal 3 binary64))))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) x)) x) x) #s(literal 1 binary64)) (*.f64 x x))
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(*.f64 (-.f64 #s(literal -1 binary64) x) x)
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 4) (+ 1 (* 2 (/ 1 x)))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(neg.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) x)) (pow.f64 x #s(literal 3 binary64))))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) x)) x) x) #s(literal 1 binary64)) (*.f64 x x))
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)

rewrite208.0ms (4.2%)

Memory
12.8MiB live, 243.3MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032158
046128
1181107
2138397
0912897
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 1 712
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (*.f64 x x) x)))
(/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (*.f64 x x) x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(neg.f64 (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(*.f64 x x)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x x))) (*.f64 (fma.f64 x x x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x x) (neg.f64 (fma.f64 x x x))))
(*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x x)))
(-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x x))) (*.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x x) #s(literal -1 binary64))
(*.f64 (fma.f64 x x x) (neg.f64 (fma.f64 x x x)))
(neg.f64 (fma.f64 x x x))
Outputs
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) x) x)
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) (*.f64 x x))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (neg.f64 x))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 (neg.f64 x) x))
(*.f64 x (*.f64 x x))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(fabs.f64 (pow.f64 x #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x x)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- 1 x) (neg.f64 x))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (neg.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) x)) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) x) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x x))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 #s(approx (- 1 x) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x x)) x)
(/.f64 (neg.f64 #s(approx (- 1 x) (neg.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(approx (- 1 x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64)))
(neg.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(neg.f64 (pow.f64 x #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64)))))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 x))
(pow.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(fabs.f64 (pow.f64 x #s(literal -2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))))
(exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (neg.f64 (log.f64 x))))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(neg.f64 (pow.f64 x #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.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 (neg.f64 x)) #s(literal 2 binary64))
(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))
(+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 x x x) x))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 x))) (/.f64 (fma.f64 x x x) x))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (fma.f64 x x x)) (/.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 x x x) (fma.f64 x x x)))
(*.f64 (/.f64 (/.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))) x))
(*.f64 (/.f64 (/.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal -1 binary64) (neg.f64 x))) (/.f64 (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))) x))
(*.f64 (/.f64 (/.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x)) (/.f64 (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x x)))
(*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) x))) (/.f64 x x))
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(fma.f64 x x (neg.f64 x))
(fma.f64 x x x)
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 x x x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) (/.f64 (*.f64 x x) (fma.f64 x x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x x)) (fma.f64 x x x))
(-.f64 (*.f64 (neg.f64 x) x) (neg.f64 x))
(-.f64 #s(literal 0 binary64) (fma.f64 x x x))
(-.f64 (fma.f64 x x x) (/.f64 #s(literal 0 binary64) (fma.f64 x x x)))
(-.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) x))
(-.f64 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x x) x)
(-.f64 x (*.f64 (neg.f64 x) x))
(-.f64 x (*.f64 x x))
(+.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x x x)) (fma.f64 x x x)) (/.f64 (*.f64 x (fma.f64 x x x)) (fma.f64 x x x)))
(+.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 x x x)) (fma.f64 x x x)) (/.f64 (*.f64 (neg.f64 x) (fma.f64 x x x)) (fma.f64 x x x)))
(+.f64 (/.f64 (*.f64 (fma.f64 x x x) (*.f64 x x)) (fma.f64 x x x)) (/.f64 (*.f64 (fma.f64 x x x) x) (fma.f64 x x x)))
(+.f64 (/.f64 (*.f64 (fma.f64 x x x) x) (fma.f64 x x x)) (/.f64 (*.f64 (fma.f64 x x x) (*.f64 x x)) (fma.f64 x x x)))
(+.f64 (/.f64 (*.f64 (fma.f64 x x x) (*.f64 (neg.f64 x) x)) (fma.f64 x x x)) (/.f64 (*.f64 (fma.f64 x x x) (neg.f64 x)) (fma.f64 x x x)))
(+.f64 (/.f64 (*.f64 x (fma.f64 x x x)) (fma.f64 x x x)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 x x x)) (fma.f64 x x x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64)))
(+.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 x x) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) (/.f64 (*.f64 x x) (fma.f64 x x x)))
(+.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x x)) (fma.f64 x x x))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (*.f64 x x)))
(+.f64 (*.f64 (neg.f64 x) x) (neg.f64 x))
(+.f64 #s(literal 0 binary64) (fma.f64 x x x))
(+.f64 (fma.f64 x x x) (/.f64 #s(literal 0 binary64) (fma.f64 x x x)))
(+.f64 (fma.f64 x x x) #s(literal 0 binary64))
(+.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(+.f64 (*.f64 x x) (neg.f64 x))
(+.f64 (*.f64 x x) x)
(+.f64 x (*.f64 x x))

eval104.0ms (2.1%)

Memory
40.8MiB live, 138.6MiB allocated; 16ms collecting garbage
Compiler

Compiled 24 665 to 2 424 computations (90.2% saved)

prune22.0ms (0.4%)

Memory
-34.6MiB live, 53.8MiB allocated; 7ms collecting garbage
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New9511952
Fresh000
Picked134
Done055
Total9529961
Accuracy
100.0%
Counts
961 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.2%
(/.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (neg.f64 (fma.f64 x x x))))
✓99.9%
(/.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) x)
✓99.3%
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
✓52.8%
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
✓49.1%
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
✓48.5%
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
✓49.2%
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
✓41.3%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (*.f64 x x) x)))
✓53.7%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
Compiler

Compiled 439 to 160 computations (63.6% saved)

regimes10.0ms (0.2%)

Memory
13.2MiB live, 13.2MiB allocated; 0ms collecting garbage
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (*.f64 x x) x)))
(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x)))
(/.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) x)
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) x)
(/.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (neg.f64 (fma.f64 x x x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) x)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x x))) (*.f64 (fma.f64 x x x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x x) (neg.f64 (fma.f64 x x x))))
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))))
Outputs
(/.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) x)
Calls

2 calls:

5.0ms
x
4.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
99.9%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
99.9%1x
Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated; 0ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (*.f64 x x) x)))
(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x)))
Outputs
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
Calls

2 calls:

3.0ms
x
3.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
99.3%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
99.3%1x
Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
Outputs
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
Calls

2 calls:

2.0ms
x
2.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
98.2%3(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
98.2%3x
Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0.1%)

Memory
5.4MiB live, 5.4MiB allocated; 0ms collecting garbage
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
Outputs
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
Calls

2 calls:

2.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
98.2%3(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
98.2%3x
Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0.1%)

Memory
4.7MiB live, 4.7MiB allocated; 0ms collecting garbage
Accuracy

Total -1.0b remaining (-3.3%)

Threshold costs -1b (-3.3%)

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

2 calls:

1.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
53.7%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
53.7%1x
Compiler

Compiled 10 to 7 computations (30% saved)

bsearch30.0ms (0.6%)

Memory
-38.5MiB live, 22.8MiB allocated; 5ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
3.952166521654756e-8
11005.548470613434
14.0ms
-145.9624422055537
-9.074968998903357e-7
Samples
16.0ms304×0valid
Compiler

Compiled 582 to 428 computations (26.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 4.0ms (54.3% of total)
ival-add: 2.0ms (27.1% of total)
ival-sub: 1.0ms (13.6% 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)

bsearch7.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
5.0ms
3.952166521654756e-8
11005.548470613434
1.0ms
-145.9624422055537
-9.074968998903357e-7
Samples
3.0ms64×0valid
Compiler

Compiled 544 to 409 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-div: 1.0ms (67.3% of total)
ival-sub: 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)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify54.0ms (1.1%)

Memory
-6.1MiB live, 39.6MiB allocated; 4ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036114
162106
2106102
317296
430796
595596
6654796
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) x)
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) #s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (if (<=.f64 x #s(literal 3/4 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
Outputs
(/.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) x)
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) #s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(if (or (<=.f64 x #s(literal -1 binary64)) (not (<=.f64 x #s(literal 1 binary64)))) #s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal -1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (if (<=.f64 x #s(literal 3/4 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(if (or (<=.f64 x #s(literal -1 binary64)) (not (<=.f64 x #s(literal 3/4 binary64)))) #s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ (- x (+ x 1)) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) x))

derivations538.0ms (10.8%)

Memory
33.4MiB live, 306.9MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053229
1144206
2349198
3978196
43081194
08373190
0620
01020
15220
239520
3587120
0867418
028134
041127
1151104
21120102
08639100
068368
1200324
2536320
32211318
47545318
08045302
Stop Event
1×fuel
1×iter limit
1×node 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
Compiler

Compiled 116 to 37 computations (68.1% saved)

preprocess78.0ms (1.6%)

Memory
-18.2MiB live, 79.3MiB allocated; 10ms collecting garbage
Compiler

Compiled 264 to 98 computations (62.9% saved)

end0.0ms (0%)

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

Profiling

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