2frac (problem 3.3.1)

Time bar (total: 4.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated
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)

sample977.0ms (20.8%)

Memory
64.8MiB live, 1 297.8MiB allocated
Samples
422.0ms3 849×1valid
308.0ms4 407×0valid
Precisions
Click to see histograms. Total time spent on operations: 541.0ms
ival-div: 322.0ms (59.6% of total)
ival-add: 86.0ms (15.9% of total)
adjust: 63.0ms (11.7% of total)
ival-sub: 56.0ms (10.4% of total)
ival-true: 6.0ms (1.1% of total)
exact: 5.0ms (0.9% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain97.0ms (2.1%)

Memory
-19.3MiB live, 231.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
672(165.84964986517588)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))cancellation690
Confusion
Predicted +Predicted -
+670
-2187
Precision
0.9710144927536232
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6700
-20187
Precision?
0.9710144927536232
Recall?
1.0
Freqs
test
numberfreq
0187
169
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
25.0ms230×1valid
15.0ms282×0valid
Compiler

Compiled 57 to 22 computations (61.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 11.0ms (46% of total)
adjust: 4.0ms (16.7% of total)
ival-add: 4.0ms (16.7% of total)
ival-sub: 4.0ms (16.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess16.0ms (0.3%)

Memory
-16.5MiB live, 33.9MiB allocated
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
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶78.3%
(-.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
11.6MiB live, 11.6MiB allocated
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)

localize27.0ms (0.6%)

Memory
12.3MiB live, 59.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 #s(literal 1 binary64) x)
accuracy0.0
(+.f64 x #s(literal 1 binary64))
accuracy0.015625
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy13.910893881938273
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Samples
13.0ms115×1valid
8.0ms141×0valid
Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 6.0ms (44.2% of total)
ival-add: 4.0ms (29.4% of total)
adjust: 2.0ms (14.7% of total)
ival-sub: 2.0ms (14.7% 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
4.1MiB live, 4.1MiB allocated
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))

simplify109.0ms (2.3%)

Memory
-12.0MiB live, 131.2MiB allocated
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)

rewrite142.0ms (3%)

Memory
23.7MiB live, 154.8MiB allocated
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)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #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)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (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)))) #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)))

eval61.0ms (1.3%)

Memory
-10.6MiB live, 86.2MiB allocated
Compiler

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

prune13.0ms (0.3%)

Memory
-19.9MiB live, 25.8MiB allocated
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
▶80.0%
(/.f64 (/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) x)
▶80.0%
(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x x))
▶51.2%
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
51.1%
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
50.2%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
48.9%
#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)))
▶41.2%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))
▶52.4%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
Compiler

Compiled 234 to 150 computations (35.9% saved)

simplify180.0ms (3.8%)

Memory
21.2MiB live, 264.5MiB allocated
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
(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)))
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
(+.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)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023135
036138
158114
2114108
3263108
4608108
51814108
67546108
08071108
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.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 #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 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 (-.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 (-.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 #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 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 (-.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)

localize88.0ms (1.9%)

Memory
-16.6MiB live, 84.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 x #s(literal 3 binary64))
accuracy0.0
(-.f64 #s(literal 1 binary64) x)
accuracy5.268210300402445
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
accuracy32.4141587731665
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))
accuracy0.0
(fma.f64 x x x)
accuracy0.0
(+.f64 x #s(literal 1 binary64))
accuracy0.6019566569831236
(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x x))
accuracy28.2962362884784
(-.f64 x (+.f64 x #s(literal 1 binary64)))
accuracy0.0
(/.f64 #s(literal 1 binary64) x)
accuracy0.0
(-.f64 #s(literal 1 binary64) x)
accuracy13.910893881938273
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
accuracy31.655214700866765
#s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x))
accuracy0.0
(/.f64 #s(literal -1 binary64) x)
accuracy30.436363087046626
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
accuracy0.0
(+.f64 x #s(literal 1 binary64))
accuracy0.015625
(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
accuracy0.05078125
(/.f64 (/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) x)
accuracy28.2962362884784
(-.f64 x (+.f64 x #s(literal 1 binary64)))
Samples
35.0ms121×1valid
35.0ms135×0valid
Compiler

Compiled 119 to 20 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-pow: 20.0ms (36.7% of total)
ival-div: 15.0ms (27.5% of total)
ival-add: 7.0ms (12.8% of total)
adjust: 5.0ms (9.2% of total)
ival-sub: 5.0ms (9.2% of total)
ival-mult: 2.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB allocated
Counts
15 → 43
Calls
Call 1
Inputs
(-.f64 x (+.f64 x #s(literal 1 binary64)))
(/.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 #s(literal 1 binary64))
#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 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x x))
(fma.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) (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)
(- 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 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))
(/ (- (/ 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)
(* -1 x)
(* x (- (/ 1 x) 1))
(pow x 2)
(* (pow x 2) (+ 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 (/ 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
2.0ms
x
@0
((- x (+ x 1)) (/ (/ (- x (+ x 1)) (+ x 1)) x) (/ (- x (+ x 1)) (+ x 1)) (+ x 1) (- (/ 1 (+ x 1)) (/ 1 x)) (/ -1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (- 1 x) (/ 1 x) (/ (- x (+ x 1)) (+ (* x x) x)) (+ (* x x) x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ (- 1 x) (pow x 3)) (pow x 3))
1.0ms
x
@-inf
((- x (+ x 1)) (/ (/ (- x (+ x 1)) (+ x 1)) x) (/ (- x (+ x 1)) (+ x 1)) (+ x 1) (- (/ 1 (+ x 1)) (/ 1 x)) (/ -1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (- 1 x) (/ 1 x) (/ (- x (+ x 1)) (+ (* x x) x)) (+ (* x x) x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ (- 1 x) (pow x 3)) (pow x 3))
1.0ms
x
@inf
((- x (+ x 1)) (/ (/ (- x (+ x 1)) (+ x 1)) x) (/ (- x (+ x 1)) (+ x 1)) (+ x 1) (- (/ 1 (+ x 1)) (/ 1 x)) (/ -1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (- 1 x) (/ 1 x) (/ (- x (+ x 1)) (+ (* x x) x)) (+ (* x x) x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ (- 1 x) (pow x 3)) (pow x 3))

simplify143.0ms (3%)

Memory
21.2MiB live, 109.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068368
1200324
2537320
32205318
47566318
08041302
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)
(- 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 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))
(/ (- (/ 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)
(* -1 x)
(* x (- (/ 1 x) 1))
(pow x 2)
(* (pow x 2) (+ 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 (/ 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
#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)
(- 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 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))
(/ (- (/ 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)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x 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)

rewrite176.0ms (3.7%)

Memory
7.5MiB live, 148.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023113
036112
114890
2116890
0846488
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 (-.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 #s(literal 1 binary64))
#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 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x x))
(fma.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) (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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(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)) (/.f64 x (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 x (pow.f64 x #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal -9 binary64)) (+.f64 (pow.f64 x #s(literal -6 binary64)) (+.f64 (pow.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 x (pow.f64 x #s(literal 3 binary64))))))) (/.f64 (pow.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal -6 binary64)) (+.f64 (pow.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 x (pow.f64 x #s(literal 3 binary64))))))))
(-.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)))

eval118.0ms (2.5%)

Memory
-39.4MiB live, 148.6MiB allocated
Compiler

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

prune13.0ms (0.3%)

Memory
36.1MiB live, 36.1MiB allocated
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New8007807
Fresh303
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)
▶51.1%
(/.f64 #s(approx (/ (- x (+ x 1)) (+ x 1)) (-.f64 x #s(literal 1 binary64))) x)
▶99.1%
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
▶50.2%
#s(approx (/ (/ (- x (+ x 1)) (+ x 1)) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
28.7%
#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))))
9.7%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))))
▶42.1%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))
✓52.4%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
Compiler

Compiled 267 to 165 computations (38.2% saved)

simplify340.0ms (7.2%)

Memory
-43.2MiB live, 200.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (- 1 x) (neg.f64 x))
cost-diff0
(/.f64 #s(approx (- 1 x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64)))
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))
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 1)) 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 x #s(literal 1 binary64))
cost-diff0
#s(approx (/ (- x (+ x 1)) (+ x 1)) (-.f64 x #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(approx (/ (- x (+ x 1)) (+ x 1)) (-.f64 x #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: 3 (0.0ms)

IterNodesCost
029165
042163
159131
2113131
3209128
4379128
5715128
62330128
08508128
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 (/ (- x (+ x 1)) (+ x 1)) (-.f64 x #s(literal 1 binary64))) x)
#s(approx (/ (- x (+ x 1)) (+ x 1)) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(/.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 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 #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)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
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 (/ (- x (+ x 1)) (+ x 1)) (-.f64 x #s(literal 1 binary64))) x)
#s(approx (/ (- x (+ x 1)) (+ x 1)) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(/.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 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 #s(approx (- 1 x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (/ (- x (+ x 1)) (+ x 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)) (pow.f64 x #s(literal 3 binary64)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)

localize103.0ms (2.2%)

Memory
26.5MiB live, 91.6MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 x)
accuracy5.268210300402445
(/.f64 #s(approx (- 1 x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64)))
accuracy31.90353904585868
#s(approx (- 1 x) (neg.f64 x))
accuracy32.4141587731665
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64))))
accuracy0.0
(/.f64 #s(literal -1 binary64) x)
accuracy0.140625
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
accuracy31.841026413083565
#s(approx (/ (/ (- x (+ x 1)) (+ x 1)) 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))
accuracy0.6019566569831236
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
accuracy0.0
(-.f64 x #s(literal 1 binary64))
accuracy0.05078125
(/.f64 #s(approx (/ (- x (+ x 1)) (+ x 1)) (-.f64 x #s(literal 1 binary64))) x)
accuracy31.655214700866765
#s(approx (/ (- x (+ x 1)) (+ x 1)) (-.f64 x #s(literal 1 binary64)))
accuracy0.0
(+.f64 x #s(literal 1 binary64))
accuracy0.0
#s(approx (- x (+ x 1)) #s(literal -1 binary64))
accuracy0.015625
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
accuracy0.05078125
(/.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) x)
Samples
53.0ms135×0valid
34.0ms121×1valid
Compiler

Compiled 128 to 23 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-div: 20.0ms (46.3% of total)
adjust: 5.0ms (11.6% of total)
ival-sub: 5.0ms (11.6% of total)
ival-add: 4.0ms (9.3% of total)
ival-pow: 4.0ms (9.3% of total)
ival-mult: 2.0ms (4.6% of total)
ival-neg: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
-40.4MiB live, 5.1MiB allocated
Counts
16 → 35
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 (/ (- x (+ x 1)) (+ x 1)) (-.f64 x #s(literal 1 binary64))) x)
#s(approx (/ (- x (+ x 1)) (+ x 1)) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
(/.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 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(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)) (pow.f64 x #s(literal 3 binary64)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 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)
x
(* x (+ 1 x))
(/ -1 (pow x 2))
(/ 1 (pow x 3))
(/ (+ 1 (* -1 x)) (pow x 3))
(+ 1 (* -1 x))
(* -1 x)
(/ (- (/ 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)))
(* x (- 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 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 (* x (- (/ 1 x) 1)))
(* -1 (* x (- 1 (/ 1 x))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((/ (/ (- x (+ x 1)) (+ x 1)) x) (/ (- x (+ x 1)) (+ x 1)) (- x (+ x 1)) (+ x 1) (/ (/ (- x (+ x 1)) (+ x 1)) x) (/ (- x (+ x 1)) (+ x 1)) (- x 1) (/ (- x (+ x 1)) (+ (* x x) x)) (+ (* x x) x) (/ (/ (- x (+ x 1)) (+ x 1)) x) (/ (/ -1 x) x) (/ -1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ (- 1 x) (pow x 3)) (- 1 x) (neg x))
1.0ms
x
@inf
((/ (/ (- x (+ x 1)) (+ x 1)) x) (/ (- x (+ x 1)) (+ x 1)) (- x (+ x 1)) (+ x 1) (/ (/ (- x (+ x 1)) (+ x 1)) x) (/ (- x (+ x 1)) (+ x 1)) (- x 1) (/ (- x (+ x 1)) (+ (* x x) x)) (+ (* x x) x) (/ (/ (- x (+ x 1)) (+ x 1)) x) (/ (/ -1 x) x) (/ -1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ (- 1 x) (pow x 3)) (- 1 x) (neg x))
1.0ms
x
@0
((/ (/ (- x (+ x 1)) (+ x 1)) x) (/ (- x (+ x 1)) (+ x 1)) (- x (+ x 1)) (+ x 1) (/ (/ (- x (+ x 1)) (+ x 1)) x) (/ (- x (+ x 1)) (+ x 1)) (- x 1) (/ (- x (+ x 1)) (+ (* x x) x)) (+ (* x x) x) (/ (/ (- x (+ x 1)) (+ x 1)) x) (/ (/ -1 x) x) (/ -1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ (- 1 x) (pow x 3)) (- 1 x) (neg x))

simplify145.0ms (3.1%)

Memory
9.0MiB live, 99.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061271
1178248
2481236
32025234
46872226
08317217
Stop Event
1×iter limit
1×node limit
Counts
35 → 34
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)
x
(* x (+ 1 x))
(/ -1 (pow x 2))
(/ 1 (pow x 3))
(/ (+ 1 (* -1 x)) (pow x 3))
(+ 1 (* -1 x))
(* -1 x)
(/ (- (/ 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)))
(* x (- 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 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 (* x (- (/ 1 x) 1)))
(* -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))
x
(* x (+ 1 x))
(fma.f64 x x x)
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) 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 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 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 x #s(literal 1 binary64)) x) 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 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) x) (pow.f64 x #s(literal 3 binary64)))
(/ (- (/ 1 x) 1) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/ (- (+ (/ 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))
(* 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)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) 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 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) x) (pow.f64 x #s(literal 3 binary64)))
(* -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 x (fma.f64 x x #s(literal 1 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -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 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)

rewrite166.0ms (3.5%)

Memory
12.1MiB live, 149.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029144
042142
1151111
21097109
08692109
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 287
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 (/ (- x (+ x 1)) (+ x 1)) (-.f64 x #s(literal 1 binary64))) x)
#s(approx (/ (- x (+ x 1)) (+ x 1)) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
(/.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 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(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)) (pow.f64 x #s(literal 3 binary64)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 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) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #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 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 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) x))
(/.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 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.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 (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)))
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(/.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 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 x x x) x))
(*.f64 (/.f64 (fma.f64 x x x) x) (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 x (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 x x x)) (/.f64 (*.f64 x x) (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 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) x))) (fma.f64 x x (*.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))) (fma.f64 x x x))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 x x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x x)) (/.f64 (*.f64 x x) (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 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (*.f64 (neg.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (*.f64 x (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (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 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 x (-.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 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 x (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x x) (*.f64 x x))) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.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 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 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 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) (+.f64 x (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) (+.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) (+.f64 x (*.f64 x (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (*.f64 x x)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (neg.f64 (fma.f64 x x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (fma.f64 x x x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (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)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) x)
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (*.f64 x x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 x x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (neg.f64 x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) x)
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (neg.f64 x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) x)
(fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 x))
(fma.f64 (neg.f64 x) (neg.f64 x) x)
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x x))
(fma.f64 x x (neg.f64 x))
(fma.f64 x x x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 x (*.f64 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 (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 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 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 (neg.f64 x)) (neg.f64 x)))
(-.f64 x (*.f64 (neg.f64 x) x))
(-.f64 x (*.f64 x (neg.f64 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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 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 (neg.f64 (neg.f64 x)) (neg.f64 x)) (fma.f64 x x x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 x x x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) (/.f64 (*.f64 x (neg.f64 x)) (fma.f64 x x x)))
(+.f64 (*.f64 x x) (neg.f64 x))
(+.f64 (*.f64 x x) x)
(+.f64 x (*.f64 x x))
#s(approx (/ (/ (- x (+ x 1)) (+ x 1)) x) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(pow.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x)))
(neg.f64 (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)))
(pow.f64 (neg.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(neg.f64 (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal -1 binary64)))
#s(approx (/ (/ (- x (+ x 1)) (+ x 1)) x) (/.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)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(/.f64 (neg.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x x))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) x)) (neg.f64 (*.f64 x x)))
(/.f64 (neg.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)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x x)) x)
(/.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) x) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 #s(approx (- 1 x) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))
(/.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))
(neg.f64 x)

eval34.0ms (0.7%)

Memory
19.2MiB live, 62.5MiB allocated
Compiler

Compiled 7 495 to 1 041 computations (86.1% saved)

prune6.0ms (0.1%)

Memory
21.1MiB live, 21.1MiB allocated
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New2913294
Fresh202
Picked145
Done011
Total2948302
Accuracy
100.0%
Counts
302 → 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)
✓51.1%
(/.f64 #s(approx (/ (- x (+ x 1)) (+ x 1)) (-.f64 x #s(literal 1 binary64))) x)
✓99.1%
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
▶99.0%
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (+.f64 (*.f64 x x) x))
▶49.3%
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.f64 x x)))
✓50.2%
#s(approx (/ (/ (- x (+ x 1)) (+ x 1)) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
▶50.2%
#s(approx (/ (/ (- x (+ x 1)) (+ x 1)) x) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
✓52.4%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
Compiler

Compiled 116 to 76 computations (34.5% saved)

simplify253.0ms (5.4%)

Memory
-3.0MiB live, 236.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 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)) (+.f64 (*.f64 x x) x))
cost-diff1
(+.f64 (*.f64 x x) x)
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (* x x) x) (*.f64 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)) #s(approx (+ (* x x) x) (*.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 1)) x) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01993
02593
14073
28273
313373
422273
546373
6179473
0867368
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (/ (- x (+ x 1)) (+ x 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)
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.f64 x x)))
#s(approx (- x (+ x 1)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ (* x x) x) (*.f64 x x))
(*.f64 x x)
x
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (+.f64 (*.f64 x x) x))
#s(approx (- x (+ x 1)) #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 (*.f64 x x) x)
(*.f64 x x)
x
Outputs
#s(approx (/ (/ (- x (+ x 1)) (+ x 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)
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.f64 x x)))
#s(approx (- x (+ x 1)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ (* x x) x) (*.f64 x x))
(*.f64 x x)
x
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (+.f64 (*.f64 x 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)
(+.f64 (*.f64 x x) x)
(fma.f64 x x x)
(*.f64 x x)
x

localize73.0ms (1.5%)

Memory
-18.3MiB live, 71.7MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.0
#s(approx (- x (+ x 1)) #s(literal -1 binary64))
accuracy0.0234375
(+.f64 (*.f64 x x) x)
accuracy0.6019566569831236
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (+.f64 (*.f64 x x) x))
accuracy0.0
(*.f64 x x)
accuracy0.0
#s(approx (- x (+ x 1)) #s(literal -1 binary64))
accuracy0.6019566569831236
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.f64 x x)))
accuracy31.122418254289318
#s(approx (+ (* x x) x) (*.f64 x x))
accuracy0.0
(pow.f64 x #s(literal -2 binary64))
accuracy0.0
(neg.f64 (pow.f64 x #s(literal -2 binary64)))
accuracy31.841026413083565
#s(approx (/ (/ (- x (+ x 1)) (+ x 1)) x) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
Samples
37.0ms143×0valid
21.0ms113×1valid
Compiler

Compiled 74 to 15 computations (79.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-add: 27.0ms (58% of total)
ival-div: 7.0ms (15% of total)
ival-pow: 4.0ms (8.6% of total)
adjust: 3.0ms (6.4% of total)
ival-mult: 2.0ms (4.3% of total)
ival-sub: 2.0ms (4.3% of total)
ival-neg: 1.0ms (2.1% 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
5.3MiB live, 5.3MiB allocated
Counts
9 → 16
Calls
Call 1
Inputs
#s(approx (/ (/ (- x (+ x 1)) (+ x 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))
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.f64 x x)))
#s(approx (- x (+ x 1)) #s(literal -1 binary64))
#s(approx (+ (* x x) x) (*.f64 x x))
(*.f64 x x)
(+.f64 (*.f64 x x) x)
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (+.f64 (*.f64 x x) x))
Outputs
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ -1 (pow x 2))
(/ 1 (pow x 2))
-1
x
(* x (+ 1 x))
(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))
(* (pow x 2) (+ 1 (/ 1 x)))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
Calls

3 calls:

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

simplify161.0ms (3.4%)

Memory
-10.6MiB live, 136.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044137
1119132
2301128
3925118
42874114
57399114
08748111
Stop Event
1×iter limit
1×node limit
Counts
16 → 15
Calls
Call 1
Inputs
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ -1 (pow x 2))
(/ 1 (pow x 2))
-1
x
(* x (+ 1 x))
(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))
(* (pow x 2) (+ 1 (/ 1 x)))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
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 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (/.f64 (-.f64 x #s(literal 1 binary64)) x))
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
-1
#s(literal -1 binary64)
x
(* x (+ 1 x))
(fma.f64 x x x)
(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 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) x)
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) x))
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) x)
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) x))

rewrite99.0ms (2.1%)

Memory
10.7MiB live, 101.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01977
02577
19161
265561
0928256
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
9 → 199
Calls
Call 1
Inputs
#s(approx (/ (/ (- x (+ x 1)) (+ x 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))
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.f64 x x)))
#s(approx (- x (+ x 1)) #s(literal -1 binary64))
#s(approx (+ (* x x) x) (*.f64 x x))
(*.f64 x x)
(+.f64 (*.f64 x x) x)
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (+.f64 (*.f64 x x) x))
Outputs
#s(approx (/ (/ (- x (+ x 1)) (+ x 1)) x) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)
(neg.f64 (pow.f64 x #s(literal -2 binary64)))
(+.f64 (neg.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) (neg.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))))
(*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (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 -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #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 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #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))
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) (*.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 (+.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 (pow.f64 x #s(literal -1 binary64)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(neg.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(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 (fma.f64 (log.f64 x) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(/.f64 (neg.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64))) (neg.f64 #s(approx (+ (* x x) x) (*.f64 x x))))
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.f64 x x)))
(neg.f64 (/.f64 (neg.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64))) #s(approx (+ (* x x) x) (*.f64 x x))))
#s(approx (- x (+ x 1)) #s(literal -1 binary64))
(neg.f64 (neg.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64))))
#s(approx (+ (* x x) x) (*.f64 x x))
(neg.f64 (neg.f64 #s(approx (+ (* x x) x) (*.f64 x 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 (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 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 x x x) x))
(*.f64 (/.f64 (fma.f64 x x x) x) (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) x)
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 x x x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(*.f64 #s(literal 1 binary64) (fma.f64 x x x))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(*.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) x) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) x) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) x) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 x)) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (neg.f64 x) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 x x x)) (/.f64 (*.f64 x x) (fma.f64 x x x)))) (fma.f64 x x x))
(/.f64 (-.f64 (*.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 6 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))))) (*.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 3 binary64)) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64)))))) (fma.f64 x x x))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 x x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x x)) (/.f64 (*.f64 x x) (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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (fma.f64 x (fma.f64 x x x) (pow.f64 x #s(literal 4 binary64))))
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eval45.0ms (0.9%)

Memory
-4.3MiB live, 46.8MiB allocated
Compiler

Compiled 5 028 to 654 computations (87% saved)

prune8.0ms (0.2%)

Memory
17.1MiB live, 17.1MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New2270227
Fresh000
Picked033
Done055
Total2278235
Accuracy
100.0%
Counts
235 → 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)
✓51.1%
(/.f64 #s(approx (/ (- x (+ x 1)) (+ x 1)) (-.f64 x #s(literal 1 binary64))) x)
✓99.1%
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
✓99.0%
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (+.f64 (*.f64 x x) x))
✓49.3%
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.f64 x x)))
✓50.2%
#s(approx (/ (/ (- x (+ x 1)) (+ x 1)) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
✓50.2%
#s(approx (/ (/ (- x (+ x 1)) (+ x 1)) x) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
✓52.4%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
Compiler

Compiled 415 to 150 computations (63.9% saved)

regimes12.0ms (0.3%)

Memory
-32.6MiB live, 13.7MiB allocated
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))
(/.f64 #s(approx (/ (- x (+ x 1)) (+ x 1)) (-.f64 x #s(literal 1 binary64))) x)
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.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))
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (+.f64 (*.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 1)) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (fma.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)
#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)))
#s(approx (/ (/ (- x (+ x 1)) (+ x 1)) x) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (pow.f64 x #s(literal 3 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))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))))
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
5.0ms
(-.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
9.1MiB live, 9.1MiB allocated
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))
(/.f64 #s(approx (/ (- x (+ x 1)) (+ x 1)) (-.f64 x #s(literal 1 binary64))) x)
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.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))
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (+.f64 (*.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 1)) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (fma.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
99.1%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
99.1%1x
Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB allocated
Counts
5 → 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))
(/.f64 #s(approx (/ (- x (+ x 1)) (+ x 1)) (-.f64 x #s(literal 1 binary64))) x)
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.f64 x x)))
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
Outputs
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.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)) #s(approx (+ (* x x) x) (*.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
97.2%3(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
97.2%3x
Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB allocated
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))
(/.f64 #s(approx (/ (- x (+ x 1)) (+ x 1)) (-.f64 x #s(literal 1 binary64))) x)
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.f64 x x)))
Outputs
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.f64 x x)))
(-.f64 #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)) #s(approx (+ (* x x) x) (*.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
97.2%3(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
97.2%3x
Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated
Accuracy

Total -1.2b remaining (-3.8%)

Threshold costs -1.2b (-3.8%)

Counts
3 → 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))
(/.f64 #s(approx (/ (- x (+ x 1)) (+ x 1)) (-.f64 x #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
52.4%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
52.4%1x
Compiler

Compiled 10 to 7 computations (30% saved)

bsearch27.0ms (0.6%)

Memory
-19.8MiB live, 26.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
0.010824057723444575
165.84964986517588
13.0ms
-493.846281851086
-3.279645841300322e-9
Samples
13.0ms288×0valid
Compiler

Compiled 552 to 406 computations (26.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 4.0ms (55.6% of total)
ival-add: 2.0ms (27.8% of total)
ival-sub: 1.0ms (13.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch6.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
4.0ms
0.010824057723444575
165.84964986517588
1.0ms
-493.846281851086
-3.279645841300322e-9
Samples
2.0ms48×0valid
Compiler

Compiled 516 to 388 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-div: 1.0ms (85.3% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify46.0ms (1%)

Memory
-4.8MiB live, 40.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035114
158106
290102
313098
417498
524698
647098
787398
8144398
9173598
10375798
11784198
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)) (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.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)) (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.f64 x x)))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.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)) (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.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)) (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.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)) (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.f64 x x)))))
(if (or (<=.f64 x #s(literal -1 binary64)) (not (<=.f64 x #s(literal 1 binary64)))) (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.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)) (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.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)) (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.f64 x x)))))
(if (or (<=.f64 x #s(literal -1 binary64)) (not (<=.f64 x #s(literal 3/4 binary64)))) (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.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))

soundness941.0ms (20%)

Memory
8.9MiB live, 487.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053229
1144206
2349198
3978196
43081194
08373190
061271
1178248
2481236
32025234
46872226
08317217
0620
01020
15220
239520
3587120
0867418
068368
1200324
2537320
32205318
47566318
08041302
Stop Event
1×done
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×node limit
Compiler

Compiled 253 to 120 computations (52.6% saved)

preprocess34.0ms (0.7%)

Memory
0.7MiB live, 46.2MiB allocated
Compiler

Compiled 260 to 100 computations (61.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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