Asymptote A

Time bar (total: 6.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

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

Compiled 13 to 9 computations (30.8% saved)

sample1.4s (20.2%)

Memory
17.7MiB live, 1 361.4MiB allocated
Samples
802.0ms3 804×1valid
284.0ms4 452×0valid
Precisions
Click to see histograms. Total time spent on operations: 841.0ms
ival-div: 281.0ms (33.4% of total)
ival-sub: 239.0ms (28.4% of total)
ival-add: 184.0ms (21.9% of total)
adjust: 123.0ms (14.6% of total)
ival-true: 6.0ms (0.7% of total)
exact: 5.0ms (0.6% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain174.0ms (2.5%)

Memory
-9.6MiB live, 146.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
611(-235.78402099081592)0-(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
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) (-.f64 x #s(literal 1 binary64)))
00-0-(-.f64 x #s(literal 1 binary64))
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) (-.f64 x #s(literal 1 binary64))))cancellation620
Confusion
Predicted +Predicted -
+610
-1194
Precision
0.9838709677419355
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6100
-10194
Precision?
0.9838709677419355
Recall?
1.0
Freqs
test
numberfreq
0194
162
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
85.0ms208×1valid
19.0ms304×0valid
Compiler

Compiled 102 to 32 computations (68.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-add: 65.0ms (74.8% of total)
ival-div: 10.0ms (11.5% of total)
ival-sub: 7.0ms (8.1% of total)
adjust: 4.0ms (4.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess23.0ms (0.3%)

Memory
28.3MiB live, 28.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
12125
25222
310522
419022
526422
628622
728822
0711
01211
12011
22711
34011
46111
58611
613111
717711
825811
929911
1031911
1131911
031911
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) (-.f64 x #s(literal 1 binary64))))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))))
Symmetry

(abs x)

Compiler

Compiled 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶78.8%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify23.0ms (0.3%)

Memory
-25.6MiB live, 9.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0729
01229
12029
22729
34029
46129
58629
613129
717729
825829
929929
1031929
1131929
031929
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) (-.f64 x #s(literal 1 binary64))))
(/.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) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
x
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))

localize30.0ms (0.4%)

Memory
22.1MiB live, 59.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x #s(literal 1 binary64))
accuracy0.015625
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy0.015625
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy13.5643605785212
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Samples
15.0ms104×1valid
8.0ms152×0valid
Compiler

Compiled 60 to 16 computations (73.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
adjust: 5.0ms (31.7% of total)
ival-div: 5.0ms (31.7% of total)
ival-sub: 3.0ms (19% of total)
ival-add: 2.0ms (12.7% 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
4.2MiB live, 4.2MiB allocated
Counts
4 → 31
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
Outputs
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(+ 1 x)
-1
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ 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)
x
(* x (+ 1 (/ 1 x)))
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
Calls

3 calls:

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

simplify408.0ms (5.9%)

Memory
-413.1MiB live, 95.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080307
1220297
2560278
31754261
45308261
08259252
Stop Event
1×iter limit
1×node limit
Counts
31 → 30
Calls
Call 1
Inputs
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(+ 1 x)
-1
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ 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)
x
(* x (+ 1 (/ 1 x)))
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
Outputs
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64)))
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)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1 x) 1)) 1)
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(/ (+ 1 (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) x)
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x)) x)

rewrite256.0ms (3.7%)

Memory
26.4MiB live, 253.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
01224
16624
264424
0908022
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 702
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
Outputs
(*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 x (-.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -4 binary64)) (pow.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -6 binary64)) (pow.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -4 binary64)) (*.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))))))
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
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(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (*.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #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 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #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 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (exp.f64 (neg.f64 (log1p.f64 x)))) (*.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (exp.f64 (neg.f64 (log1p.f64 x)))) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (*.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (*.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x))
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (*.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x))
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x))
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))) (*.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x))
(fma.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x))
(fma.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x))
(-.f64 (/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (log.f64 (-.f64 x #s(literal 1 binary64)))))
(+.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 x (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 x x) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 x x) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x)))
(+.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x))

eval236.0ms (3.4%)

Memory
-9.4MiB live, 150.7MiB allocated
Compiler

Compiled 19 040 to 2 022 computations (89.4% saved)

prune32.0ms (0.5%)

Memory
-8.7MiB live, 39.6MiB allocated
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New7198727
Fresh000
Picked011
Done000
Total7199728
Accuracy
100.0%
Counts
728 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶82.3%
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
82.3%
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
✓78.8%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
▶54.9%
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
54.2%
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
54.3%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
▶46.0%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x))
▶45.1%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
▶54.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
Compiler

Compiled 263 to 171 computations (35% saved)

simplify177.0ms (2.5%)

Memory
26.1MiB live, 100.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
cost-diff0
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)
cost-diff0
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x)
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
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) (-.f64 x #s(literal 1 binary64))))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal -2 binary64) (*.f64 x x))
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
cost-diff0
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
cost-diff192
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
cost-diff384
(-.f64 (-.f64 x #s(literal 1 binary64)) x)
cost-diff704
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029186
044202
174202
2157164
3396150
4816150
52579150
67434150
08077146
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(-.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
#s(literal -2 binary64)
(*.f64 x x)
x
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
#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) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x))
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x)
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
#s(literal -2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
Outputs
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
#s(literal -2 binary64)
(-.f64 (-.f64 x #s(literal 1 binary64)) x)
#s(literal -1 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
#s(literal -2 binary64)
(*.f64 x x)
x
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
#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) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x))
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x)
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x)
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)
(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x)
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64))
#s(literal -2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x

localize95.0ms (1.4%)

Memory
1.5MiB live, 39.7MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.05859375
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)
accuracy0.10546875
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x)
accuracy0.6850430727662895
(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy34.46289187867285
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x))
accuracy0.0
(-.f64 #s(literal 1 binary64) x)
accuracy0.015625
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy13.5643605785212
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
accuracy29.406188182690087
#s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x))
accuracy0.0
(*.f64 x x)
accuracy0.6850430727662895
(/.f64 #s(literal -2 binary64) (*.f64 x x))
accuracy34.533025702585064
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
accuracy29.06766683732807
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
accuracy0.0
(-.f64 x #s(literal -1 binary64))
accuracy0.015625
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy0.06640625
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
accuracy27.124383313013627
(-.f64 (-.f64 x #s(literal 1 binary64)) x)
Samples
56.0ms113×1valid
20.0ms143×0valid
Compiler

Compiled 346 to 54 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-sub: 36.0ms (60.4% of total)
ival-div: 15.0ms (25.2% of total)
adjust: 5.0ms (8.4% of total)
ival-add: 2.0ms (3.4% of total)
ival-mult: 2.0ms (3.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
3.6MiB live, 3.6MiB allocated
Counts
18 → 53
Calls
Call 1
Inputs
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
(-.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(*.f64 x x)
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
#s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x))
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x)
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(-.f64 x #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
Outputs
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
-1
-2
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* 2 x))))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(/ -2 (pow x 2))
(pow x 2)
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(/ -2 (pow x 4))
(/ (- (* -2 (pow x 2)) 2) (pow x 4))
(/ -2 (pow x 3))
(/ (- (* -2 (pow x 2)) 2) (pow x 3))
(/ (- (* -2 (pow x 2)) 2) (pow x 2))
(+ 1 x)
(/ 2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(* -1 x)
(* x (- (/ 1 x) 1))
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))
(* -1 (+ 2 (* 2 (/ 1 (pow x 2)))))
x
(* x (+ 1 (/ 1 x)))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) 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))))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@0
((/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (- (- x 1) x) (- (- (- x 1) x) 1) (/ (- (- (- x 1) x) 1) (- x 1)) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) (* x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (+ x 1)) (- 1 x) (/ 1 (- x 1)) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ (/ (- -2 (/ 2 (* x x))) x) x) (/ (- -2 (/ 2 (* x x))) x) (- -2 (/ 2 (* x x))) (- x -1) (/ 2 (* x x)))
2.0ms
x
@inf
((/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (- (- x 1) x) (- (- (- x 1) x) 1) (/ (- (- (- x 1) x) 1) (- x 1)) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) (* x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (+ x 1)) (- 1 x) (/ 1 (- x 1)) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ (/ (- -2 (/ 2 (* x x))) x) x) (/ (- -2 (/ 2 (* x x))) x) (- -2 (/ 2 (* x x))) (- x -1) (/ 2 (* x x)))
2.0ms
x
@-inf
((/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (- (- x 1) x) (- (- (- x 1) x) 1) (/ (- (- (- x 1) x) 1) (- x 1)) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) (* x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (+ x 1)) (- 1 x) (/ 1 (- x 1)) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ (/ (- -2 (/ 2 (* x x))) x) x) (/ (- -2 (/ 2 (* x x))) x) (- -2 (/ 2 (* x x))) (- x -1) (/ 2 (* x x)))

simplify235.0ms (3.4%)

Memory
5.1MiB live, 82.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0119488
1337470
2863431
32712418
47087418
08082400
Stop Event
1×iter limit
1×node limit
Counts
53 → 52
Calls
Call 1
Inputs
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
-1
-2
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* 2 x))))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(/ -2 (pow x 2))
(pow x 2)
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(/ -2 (pow x 4))
(/ (- (* -2 (pow x 2)) 2) (pow x 4))
(/ -2 (pow x 3))
(/ (- (* -2 (pow x 2)) 2) (pow x 3))
(/ (- (* -2 (pow x 2)) 2) (pow x 2))
(+ 1 x)
(/ 2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(* -1 x)
(* x (- (/ 1 x) 1))
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))
(* -1 (+ 2 (* 2 (/ 1 (pow x 2)))))
x
(* x (+ 1 (/ 1 x)))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) 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))))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
Outputs
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)))
-1
#s(literal -1 binary64)
-2
#s(literal -2 binary64)
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (+ 2 (* 2 x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(/ -2 (pow x 2))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(fma.f64 x x (-.f64 #s(literal 1 binary64) x))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1 x) 1)) 1)
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(/ -2 (pow x 4))
(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ (- (* -2 (pow x 2)) 2) (pow x 4))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))))
(/ -2 (pow x 3))
(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (- (* -2 (pow x 2)) 2) (pow x 3))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)
(/ (- (* -2 (pow x 2)) 2) (pow x 2))
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) x) x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) x) #s(literal 2 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))) x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)
(* -1 (+ 2 (* 2 (/ 1 (pow x 2)))))
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) x)
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) x) #s(literal 2 binary64)) x)
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)

rewrite452.0ms (6.5%)

Memory
-11.8MiB live, 189.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029166
044166
1217162
21965162
08227152
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 945
Calls
Call 1
Inputs
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
(-.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(*.f64 x x)
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
#s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x))
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x)
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(-.f64 x #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
Outputs
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 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 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #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 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))))
(*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))
(*.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
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(pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64))
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eval497.0ms (7.2%)

Memory
-8.7MiB live, 264.8MiB allocated
Compiler

Compiled 29 508 to 3 988 computations (86.5% saved)

prune21.0ms (0.3%)

Memory
13.3MiB live, 92.1MiB allocated
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New9907997
Fresh123
Picked235
Done101
Total994121 006
Accuracy
100.0%
Counts
1 006 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
82.3%
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
▶45.6%
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) (/.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal -1 binary64)))
✓54.9%
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
▶76.7%
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
▶54.2%
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
54.3%
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
45.9%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
▶14.2%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))))
✓45.1%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
46.0%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))
✓54.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
Compiler

Compiled 391 to 246 computations (37.1% saved)

simplify92.0ms (1.3%)

Memory
-19.7MiB live, 145.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))))
cost-diff128
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
cost-diff128
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
cost-diff1792
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
cost-diff0
(-.f64 x #s(literal -1 binary64))
cost-diff0
(/.f64 #s(literal -2 binary64) x)
cost-diff0
#s(approx (/ (- (- (- x 1) x) 1) (- x 1)) (/.f64 #s(literal -2 binary64) x))
cost-diff0
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) (/.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal -1 binary64)))
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
cost-diff0
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
cost-diff0
#s(approx (/ 1 (- x 1)) (-.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)) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
cost-diff0
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
cost-diff704
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039285
061276
1113267
2362207
32431203
44291203
57810203
08033199
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
#s(literal -2 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) #s(approx (/ 1 (- x 1)) (-.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
#s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
x
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) (/.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal -1 binary64)))
#s(approx (/ (- (- (- x 1) x) 1) (- x 1)) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
Outputs
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
#s(literal -2 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) #s(approx (/ 1 (- x 1)) (-.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
#s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
x
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) (/.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal -1 binary64)))
#s(approx (/ (- (- (- x 1) x) 1) (- x 1)) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x x)
x
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
#s(literal -2 binary64)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))

localize361.0ms (5.2%)

Memory
-1.2MiB live, 161.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.6850430727662895
(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy20.15410739736248
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
accuracy30.639916181609554
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
accuracy34.46289187867285
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))))
accuracy0.0
(/.f64 #s(literal -2 binary64) x)
accuracy0.0
(-.f64 x #s(literal -1 binary64))
accuracy0.06640625
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) (/.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal -1 binary64)))
accuracy34.76296504938774
#s(approx (/ (- (- (- x 1) x) 1) (- x 1)) (/.f64 #s(literal -2 binary64) x))
accuracy0.0
(-.f64 x #s(literal 1 binary64))
accuracy0.015625
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy13.5643605785212
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
accuracy28.581424374041493
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
accuracy0.0
(-.f64 #s(literal -1 binary64) x)
accuracy13.5643605785212
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
accuracy29.39422325383539
#s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x))
accuracy29.406188182690087
#s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x))
accuracy0.0
(-.f64 x #s(literal -1 binary64))
accuracy0.0
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
accuracy0.015625
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy0.06640625
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
Samples
307.0ms113×1valid
25.0ms143×0valid
Compiler

Compiled 512 to 69 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 300.0ms
ival-sub: 262.0ms (87.4% of total)
ival-div: 15.0ms (5% of total)
ival-mult: 13.0ms (4.3% of total)
adjust: 6.0ms (2% of total)
ival-add: 2.0ms (0.7% of total)
exact: 1.0ms (0.3% of total)
ival-neg: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
12.4MiB live, 12.4MiB allocated
Counts
21 → 53
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
(-.f64 x #s(literal 1 binary64))
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
#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(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) (/.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal -1 binary64)))
#s(approx (/ (- (- (- x 1) x) 1) (- x 1)) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) x)
(-.f64 x #s(literal -1 binary64))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))))
(-.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
Outputs
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* 2 x))))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-2
-1
(- x 1)
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(/ -2 x)
(+ 1 x)
(/ -2 (pow x 4))
(/ (- (* -2 (pow x 2)) 2) (pow x 4))
(/ 2 (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)
x
(* x (- 1 (/ 1 x)))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(* -1 x)
(* x (- (/ 1 x) 1))
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(* x (+ 1 (/ 1 x)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
Calls

3 calls:

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

simplify144.0ms (2.1%)

Memory
8.2MiB live, 211.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116462
1331446
2866419
32595402
46660402
08041386
Stop Event
1×iter limit
1×node limit
Counts
53 → 52
Calls
Call 1
Inputs
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* 2 x))))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-2
-1
(- x 1)
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(/ -2 x)
(+ 1 x)
(/ -2 (pow x 4))
(/ (- (* -2 (pow x 2)) 2) (pow x 4))
(/ 2 (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)
x
(* x (- 1 (/ 1 x)))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(* -1 x)
(* x (- (/ 1 x) 1))
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(* x (+ 1 (/ 1 x)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
Outputs
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)))
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (+ 2 (* 2 x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
-2
#s(literal -2 binary64)
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
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)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1 x) 1)) 1)
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(/ -2 (pow x 4))
(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ (- (* -2 (pow x 2)) 2) (pow x 4))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(-.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) x) x) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) x) #s(literal 2 binary64)) x)
x
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x)
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) x)
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) x) #s(literal 2 binary64)) x)
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x)) x)

rewrite147.0ms (2.1%)

Memory
1.9MiB live, 198.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039243
061243
1283234
22493228
08763221
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 619
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
(-.f64 x #s(literal 1 binary64))
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
#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(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) (/.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal -1 binary64)))
#s(approx (/ (- (- (- x 1) x) 1) (- x 1)) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) x)
(-.f64 x #s(literal -1 binary64))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))))
(-.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
Outputs
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 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 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))
(*.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (*.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal -1 binary64) x)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (*.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))))
(/.f64 (neg.f64 (*.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 x)))) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)))))
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)))) (neg.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (*.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (*.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) x))))
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) (-.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal -1 binary64) x)))
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))))
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(fma.f64 (neg.f64 (neg.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) x (*.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) x (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) (*.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(fma.f64 (*.f64 (neg.f64 x) x) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (neg.f64 x) x) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 x (*.f64 #s(literal 2 binary64) x) (*.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)))
(fma.f64 x (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) x) (/.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 x x) #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) x) (/.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 x x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (neg.f64 x) x) x) (/.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (*.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (neg.f64 x) x) x) (/.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))))))
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (neg.f64 x) x) x) (/.f64 #s(literal 2 binary64) x)))
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) x (*.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) #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 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (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 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 x x))) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) (neg.f64 x))))))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal -1 binary64) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.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) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (neg.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) (neg.f64 x)))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(neg.f64 (-.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64)))
(-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal -1 binary64) x)
(+.f64 (neg.f64 x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (neg.f64 x))
(*.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(pow.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal -2 binary64) x)) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))

eval99.0ms (1.4%)

Memory
3.5MiB live, 157.7MiB allocated
Compiler

Compiled 24 343 to 2 483 computations (89.8% saved)

prune18.0ms (0.3%)

Memory
-18.7MiB live, 58.9MiB allocated
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New7527759
Fresh224
Picked415
Done123
Total75912771
Accuracy
100.0%
Counts
771 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.0%
(/.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
✓45.6%
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) (/.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal -1 binary64)))
▶99.0%
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
33.5%
(-.f64 #s(approx (/ 1 (+ x 1)) #s(approx (- 1 x) (neg.f64 x))) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
▶53.8%
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
39.0%
(*.f64 (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) (/.f64 #s(literal -2 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
▶54.3%
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
45.9%
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
▶14.1%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))))
✓45.1%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
46.0%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))
✓54.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
Compiler

Compiled 445 to 284 computations (36.2% saved)

simplify107.0ms (1.5%)

Memory
0.0MiB live, 122.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 x x) #s(literal 2 binary64))
cost-diff0
#s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))))
cost-diff0
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
cost-diff0
(neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)))
cost-diff192
(*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
cost-diff256
(/.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
cost-diff0
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
cost-diff0
(-.f64 #s(literal -1 binary64) x)
cost-diff0
#s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x))
cost-diff0
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
cost-diff0
(fma.f64 x x #s(literal -1 binary64))
cost-diff0
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
cost-diff0
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
044276
061269
1124260
2320212
31018184
43711184
57383184
08030184
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
#s(literal -2 binary64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
(/.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)))
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))))
(/.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
#s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
Outputs
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
#s(literal -2 binary64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
(/.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)))
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
#s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 x x)
x
#s(literal 2 binary64)
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(*.f64 (neg.f64 x) x)
(neg.f64 x)

localize152.0ms (2.2%)

Memory
2.6MiB live, 196.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.125
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
accuracy20.15410739736248
(/.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
accuracy33.32486538110919
#s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
accuracy34.46289187867285
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))))
accuracy0.0
(neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)))
accuracy0.0
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
accuracy0.0234375
(*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
accuracy0.6225430727662895
(/.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
accuracy0.0
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
accuracy0.0
(*.f64 x x)
accuracy29.24483897354506
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
accuracy0.0
(-.f64 #s(literal -1 binary64) x)
accuracy13.5643605785212
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
accuracy28.581424374041493
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
accuracy29.39422325383539
#s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x))
accuracy0.0
(fma.f64 x x #s(literal -1 binary64))
accuracy0.0
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
accuracy0.6225430727662895
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
Samples
60.0ms113×1valid
30.0ms143×0valid
Compiler

Compiled 484 to 82 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-div: 30.0ms (42.5% of total)
ival-mult: 13.0ms (18.4% of total)
ival-sub: 12.0ms (17% of total)
adjust: 7.0ms (9.9% of total)
ival-add: 5.0ms (7.1% of total)
ival-neg: 3.0ms (4.3% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
8.0MiB live, 8.0MiB allocated
Counts
18 → 42
Calls
Call 1
Inputs
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
(fma.f64 x x #s(literal -1 binary64))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
#s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(*.f64 x x)
(/.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))))
(/.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
#s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
Outputs
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
-2
-1
(- (pow x 2) 1)
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(pow x 2)
(+ 1 (* -1 (pow x 2)))
(/ -2 (pow x 4))
(/ (- (* -2 (pow x 2)) 2) (pow x 4))
(* 2 (pow x 2))
(* -1 (pow x 4))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(/ 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 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -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 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
Calls

3 calls:

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

simplify128.0ms (1.8%)

Memory
11.3MiB live, 121.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093367
1257355
2669337
32079321
45435317
08241300
Stop Event
1×iter limit
1×node limit
Counts
42 → 42
Calls
Call 1
Inputs
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
-2
-1
(- (pow x 2) 1)
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(pow x 2)
(+ 1 (* -1 (pow x 2)))
(/ -2 (pow x 4))
(/ (- (* -2 (pow x 2)) 2) (pow x 4))
(* 2 (pow x 2))
(* -1 (pow x 4))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(/ 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 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -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 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
Outputs
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)))
-2
#s(literal -2 binary64)
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
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)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1 x) 1)) 1)
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(pow x 2)
(*.f64 x x)
(+ 1 (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(/ -2 (pow x 4))
(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ (- (* -2 (pow x 2)) 2) (pow x 4))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)

rewrite233.0ms (3.4%)

Memory
0.5MiB live, 255.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044238
061231
1309213
22673213
09874206
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 359
Calls
Call 1
Inputs
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
(fma.f64 x x #s(literal -1 binary64))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
#s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(*.f64 x x)
(/.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))))
(/.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
#s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
Outputs
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
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(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(fma.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64))))
(fma.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 x)))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 x)))
(fma.f64 x (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x (neg.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(+.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64))))
(+.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(*.f64 #s(literal -1 binary64) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)))
(*.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))))))
(neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)))
(+.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 x #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 x x) #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (pow.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x))))
(*.f64 (neg.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal -4 binary64)))
(*.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(pow.f64 (/.f64 (*.f64 x x) (/.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 (neg.f64 x) x)) x) x)
(/.f64 (/.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) x)
(/.f64 (/.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (neg.f64 x)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (*.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (/.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (/.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 (neg.f64 x) x))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x))))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (/.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 (neg.f64 x) x)) (*.f64 x x))
(/.f64 (neg.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))))
(neg.f64 (/.f64 (neg.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(neg.f64 (/.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x))))) #s(literal -1 binary64)))
#s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x (*.f64 #s(literal 2 binary64) x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
(*.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))

eval40.0ms (0.6%)

Memory
5.8MiB live, 80.3MiB allocated
Compiler

Compiled 11 809 to 1 181 computations (90% saved)

prune14.0ms (0.2%)

Memory
-2.2MiB live, 35.9MiB allocated
Pruning

13 alts after pruning (7 fresh and 6 done)

PrunedKeptTotal
New3783381
Fresh044
Picked145
Done123
Total38013393
Accuracy
100.0%
Counts
393 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.0%
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
99.0%
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
99.0%
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (+.f64 (fma.f64 x x x) (-.f64 #s(literal -1 binary64) x)))
33.5%
(-.f64 #s(approx (/ 1 (+ x 1)) #s(approx (- 1 x) (neg.f64 x))) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
53.6%
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (- x 1)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))))
✓53.8%
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
39.0%
(*.f64 (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) (/.f64 #s(literal -2 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
✓54.3%
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
45.9%
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
✓14.1%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))))
✓45.1%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
46.0%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))
✓54.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
Compiler

Compiled 760 to 268 computations (64.7% saved)

regimes19.0ms (0.3%)

Memory
-13.3MiB live, 28.0MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(approx (- 1 x) (neg.f64 x))) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (- x 1)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (+.f64 (fma.f64 x x x) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) (/.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) (/.f64 #s(literal -2 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(approx (- (* 2 (* x x)) (* (* (neg x) x) (/ 2 (* x x)))) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))
Outputs
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
Calls

2 calls:

11.0ms
x
6.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes11.0ms (0.2%)

Memory
20.5MiB live, 20.5MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(approx (- 1 x) (neg.f64 x))) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (- x 1)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (+.f64 (fma.f64 x x x) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) (/.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
Outputs
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
Calls

2 calls:

5.0ms
x
4.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.0%1x
99.0%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
-24.6MiB live, 13.5MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(approx (- 1 x) (neg.f64 x))) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (- x 1)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
Outputs
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
Calls

2 calls:

5.0ms
x
3.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.0%1x
99.0%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
12.8MiB live, 12.8MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(approx (- 1 x) (neg.f64 x))) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (- x 1)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
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) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
98.2%2x
98.2%2(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory
11.0MiB live, 11.0MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(approx (- 1 x) (neg.f64 x))) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (- x 1)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))))
Outputs
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
Calls

2 calls:

3.0ms
x
2.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
76.7%1x
76.7%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes3.0ms (0%)

Memory
7.4MiB live, 7.4MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(approx (- 1 x) (neg.f64 x))) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(approx (- 1 x) (neg.f64 x))) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
Calls

2 calls:

2.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
76.7%2(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
76.7%2x
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory
-31.9MiB live, 6.5MiB allocated
Accuracy

Total -0.5b remaining (-1.8%)

Threshold costs -0.5b (-1.8%)

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

2 calls:

2.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
1.0ms
x
Results
AccuracySegmentsBranch
54.6%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
54.6%1x
Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
2.0
Compiler

Compiled 14 to 11 computations (21.4% saved)

bsearch9.0ms (0.1%)

Memory
22.5MiB live, 22.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
8.0ms
0.9119584504111343
12.726104103623598
Samples
4.0ms96×0valid
Compiler

Compiled 224 to 161 computations (28.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (37.3% of total)
ival-sub: 1.0ms (37.3% of total)
ival-add: 1.0ms (37.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify69.0ms (1%)

Memory
-9.3MiB live, 71.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
046166
175166
2133154
3313154
4531151
51060151
62654151
74994151
86524151
97782151
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))))
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) #s(approx (- 1 x) (neg.f64 x))) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
Outputs
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))))
(if (<=.f64 (-.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))) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))))
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) #s(approx (- 1 x) (neg.f64 x))) #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

soundness1.1s (16.5%)

Memory
27.1MiB live, 682.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039243
061243
1283234
22493228
08763221
0116462
1331446
2866419
32595402
46660402
08041386
0119488
1337470
2863431
32712418
47087418
08082400
080307
1220297
2560278
31754261
45308261
08259252
044238
061231
1309213
22673213
09874206
0724
01224
16624
264424
0908022
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 464 to 201 computations (56.7% saved)

preprocess44.0ms (0.6%)

Memory
8.5MiB live, 46.4MiB allocated
Remove

(abs x)

Compiler

Compiled 388 to 132 computations (66% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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