Logistic function from Lakshay Garg

Time bar (total: 5.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 12 to 11 computations (8.3% saved)

sample1.8s (30.2%)

Memory
54.5MiB live, 1 506.5MiB allocated
Samples
595.0ms2 384×1valid
490.0ms1 544×2valid
394.0ms4 328×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-exp: 453.0ms (38.8% of total)
adjust: 172.0ms (14.7% of total)
ival-div: 156.0ms (13.4% of total)
ival-mult: 153.0ms (13.1% of total)
ival-sub: 145.0ms (12.4% of total)
ival-add: 68.0ms (5.8% of total)
exact: 10.0ms (0.9% of total)
ival-true: 6.0ms (0.5% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain139.0ms (2.3%)

Memory
4.5MiB live, 204.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1240-0-(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
00-0-(exp.f64 (*.f64 #s(literal -2 binary64) x))
00-0-#s(literal 1 binary64)
00-0-(*.f64 #s(literal -2 binary64) x)
00-0-(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
00-0-#s(literal -2 binary64)
00-0-#s(literal 2 binary64)
00-0-(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))cancellation1240
Confusion
Predicted +Predicted -
+1240
-0132
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12400
-01131
Precision?
0.992
Recall?
1.0
Freqs
test
numberfreq
0132
1124
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
27.0ms160×1valid
22.0ms80×2valid
17.0ms272×0valid
Compiler

Compiled 119 to 40 computations (66.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-exp: 20.0ms (42.2% of total)
adjust: 9.0ms (19% of total)
ival-div: 6.0ms (12.7% of total)
ival-add: 4.0ms (8.4% of total)
ival-mult: 4.0ms (8.4% of total)
ival-sub: 4.0ms (8.4% of total)
exact: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess177.0ms (3%)

Memory
-13.1MiB live, 223.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01123
12321
24821
312321
434321
5261321
0910
01410
12410
24010
38310
425310
5192110
6613410
0823310
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Outputs
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
Compiler

Compiled 10 to 9 computations (10% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB 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
55.2%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Compiler

Compiled 10 to 9 computations (10% saved)

simplify139.0ms (2.4%)

Memory
4.9MiB live, 167.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 (*.f64 #s(literal -2 binary64) x))
cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
cost-diff0
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
cost-diff0
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0935
01435
12435
24035
38335
425335
5192135
6613435
0823335
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
#s(literal 1 binary64)
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
Outputs
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
x

localize41.0ms (0.7%)

Memory
6.3MiB live, 43.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 (*.f64 #s(literal -2 binary64) x))
accuracy0.01171875
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
accuracy0.015625
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
accuracy28.629245659663002
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Samples
14.0ms40×2valid
12.0ms80×1valid
8.0ms136×0valid
Compiler

Compiled 72 to 20 computations (72.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-exp: 9.0ms (37.1% of total)
adjust: 5.0ms (20.6% of total)
ival-div: 3.0ms (12.4% of total)
ival-add: 2.0ms (8.3% of total)
ival-mult: 2.0ms (8.3% of total)
ival-sub: 2.0ms (8.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
3.2MiB live, 3.2MiB allocated
Counts
4 → 19
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(exp (* -2 x))
Calls

3 calls:

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

simplify136.0ms (2.3%)

Memory
-15.9MiB live, 101.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049161
1146161
2393151
31320151
43176151
57220151
08240137
Stop Event
iter limit
node limit
Counts
19 → 18
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(exp (* -2 x))
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) x))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64))
(+ 1 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 2 x) 2)))
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(+ 1 (exp (* -2 x)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(exp (* -2 x))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))

rewrite228.0ms (3.9%)

Memory
-0.0MiB live, 194.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
01428
15128
234428
3433728
0952927
Stop Event
iter limit
node limit
iter limit
Counts
4 → 246
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
Outputs
(*.f64 (/.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) #s(literal 1 binary64)))
(*.f64 (/.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 3 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) #s(literal 2 binary64)))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 4 binary64))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64))) (expm1.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64)))) (expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))) (expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (/.f64 (expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) #s(literal -2 binary64))) (+.f64 (/.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) #s(literal -1 binary64))))
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(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(+.f64 (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 1 binary64))
(+.f64 (+.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (cosh.f64 (*.f64 x #s(literal 2 binary64))))
(+.f64 (+.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (sinh.f64 (*.f64 x #s(literal -2 binary64))))
(+.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -6 binary64)) x) (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64))))) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 #s(literal -6 binary64)) x) (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64))))))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(+.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (neg.f64 (exp.f64 #s(literal -2 binary64))) (/.f64 x #s(literal 2 binary64))) (pow.f64 (neg.f64 (exp.f64 #s(literal -2 binary64))) (/.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 (fabs.f64 (exp.f64 #s(literal -2 binary64))) (/.f64 x #s(literal 2 binary64))) (pow.f64 (fabs.f64 (exp.f64 #s(literal -2 binary64))) (/.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64)))) (neg.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64)))))
(*.f64 (fabs.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x)) #s(literal -1 binary64))
(pow.f64 (fabs.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) x)
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (exp.f64 (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal -4 binary64) x)) (*.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) (cosh.f64 (*.f64 x #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) (cosh.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (*.f64 #s(literal -4 binary64) x)) (*.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) (cosh.f64 (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (*.f64 #s(literal -4 binary64) x)) (*.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) (cosh.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal -4 binary64) x)) (*.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) (cosh.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal -2 binary64)))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (fabs.f64 (-.f64 (cosh.f64 (*.f64 #s(literal -4 binary64) x)) (*.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) (cosh.f64 (*.f64 x #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) (cosh.f64 (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (-.f64 (cosh.f64 (*.f64 #s(literal -4 binary64) x)) (*.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) (cosh.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) x))
(fma.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64))))
(fma.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (sinh.f64 (*.f64 x #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 x #s(literal -2 binary64))) (cosh.f64 (*.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64))) (sinh.f64 (*.f64 x #s(literal -2 binary64))))
(sqrt.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (exp.f64 #s(literal 2 binary64)) x)) (/.f64 (pow.f64 (sinh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (exp.f64 #s(literal 2 binary64)) x)))
(-.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (sinh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (sinh.f64 (*.f64 x #s(literal -2 binary64)))))
(-.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) (sinh.f64 (*.f64 x #s(literal 2 binary64))))
(fabs.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(fabs.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(exp.f64 (/.f64 (*.f64 #s(literal -4 binary64) x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal -4 binary64) (/.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal -4 binary64) x)) (*.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) (cosh.f64 (*.f64 x #s(literal 2 binary64)))))) (/.f64 (pow.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal -4 binary64) x)) (*.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) (cosh.f64 (*.f64 x #s(literal 2 binary64)))))))
(+.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) (cosh.f64 (*.f64 x #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) (sinh.f64 (*.f64 x #s(literal -2 binary64))))

eval36.0ms (0.6%)

Memory
28.1MiB live, 62.2MiB allocated
Compiler

Compiled 6 741 to 1 136 computations (83.1% saved)

prune10.0ms (0.2%)

Memory
-15.5MiB live, 22.5MiB allocated
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2577264
Fresh000
Picked011
Done000
Total2578265
Accuracy
100.0%
Counts
265 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.2%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
29.3%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
29.2%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
29.0%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
6.4%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
4.1%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
50.5%
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))
49.0%
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
Compiler

Compiled 254 to 205 computations (19.3% saved)

simplify111.0ms (1.9%)

Memory
7.9MiB live, 132.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64))
cost-diff0
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64))))
cost-diff0
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
cost-diff0
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
cost-diff0
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
cost-diff0
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x))
cost-diff0
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
cost-diff0
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
(-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)
cost-diff0
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033228
051228
178228
2149228
3378228
4872228
52455228
66941228
08026228
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
#s(literal 2/15 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
#s(literal -2 binary64)
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64))
(-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 1 binary64)
Outputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
#s(literal 2/15 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
x
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
#s(literal -2 binary64)
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64))
(fma.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x #s(literal 2 binary64))
(-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 1 binary64)

localize152.0ms (2.6%)

Memory
-2.9MiB live, 194.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal 2 binary64) x)
accuracy0.015625
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64))))
accuracy22.14033601385989
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))
accuracy28.629245659663002
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy0.0
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
accuracy0.015625
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
accuracy28.629245659663002
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy31.702268351717276
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
accuracy0.0
(+.f64 #s(literal 1 binary64) x)
accuracy28.629245659663002
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
accuracy31.698015310989685
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x))
accuracy28.629245659663002
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy29.77152434783662
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
accuracy0.01171875
(-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))
accuracy0.02734375
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)
accuracy0.125
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
accuracy31.68762506234528
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))
Samples
83.0ms80×1valid
26.0ms136×0valid
22.0ms40×2valid
Compiler

Compiled 394 to 62 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-exp: 16.0ms (25% of total)
ival-mult: 10.0ms (15.7% of total)
adjust: 9.0ms (14.1% of total)
const: 8.0ms (12.5% of total)
ival-add: 7.0ms (11% of total)
ival-sub: 5.0ms (7.8% of total)
ival-pow: 5.0ms (7.8% of total)
ival-div: 3.0ms (4.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
15.7MiB live, 15.7MiB allocated
Counts
19 → 34
Calls
Call 1
Inputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
(-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64))
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
(*.f64 #s(literal 2 binary64) x)
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(pow x 3)
-1/3
(- (* 2/15 (pow x 2)) 1/3)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(* 2/15 (pow x 2))
(* 2 x)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(/ 2 (+ 1 (exp (* -2 x))))
(* x (+ 1 (/ 1 x)))
(+ 1 (exp (* -2 x)))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) (pow x 3) (- (* 2/15 (* x x)) 1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (- (* 2 x) 2) x) 2) (* 2/15 (* x x)) (* 2 x))
3.0ms
x
@-inf
((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) (pow x 3) (- (* 2/15 (* x x)) 1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (- (* 2 x) 2) x) 2) (* 2/15 (* x x)) (* 2 x))
2.0ms
x
@0
((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) (pow x 3) (- (* 2/15 (* x x)) 1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (- (* 2 x) 2) x) 2) (* 2/15 (* x x)) (* 2 x))

simplify128.0ms (2.2%)

Memory
-6.4MiB live, 75.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088267
1248257
2680255
32403255
08527231
Stop Event
iter limit
node limit
Counts
34 → 33
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(pow x 3)
-1/3
(- (* 2/15 (pow x 2)) 1/3)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(* 2/15 (pow x 2))
(* 2 x)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(/ 2 (+ 1 (exp (* -2 x))))
(* x (+ 1 (/ 1 x)))
(+ 1 (exp (* -2 x)))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (-.f64 x #s(literal -1 binary64)))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) #s(literal -1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(* 2/15 (pow x 2))
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(* 2/15 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 2/15 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* 2 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x)
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 2/15 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 2/15 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))

rewrite170.0ms (2.9%)

Memory
8.4MiB live, 159.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033206
051206
1222206
21628206
09327206
Stop Event
iter limit
node limit
iter limit
Counts
19 → 277
Calls
Call 1
Inputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
(-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64))
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
(*.f64 #s(literal 2 binary64) x)
Outputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))) (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))))) (*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (neg.f64 x))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)))
(/.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))) (*.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (neg.f64 x)))) (neg.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))))
(/.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (neg.f64 x))) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x)
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) (*.f64 x x) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x)
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (*.f64 x x) (*.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x)
(fma.f64 x (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))
(-.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 x x (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 x x (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 x x (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) x) (fma.f64 x x (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 x x (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
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(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 2 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64))) #s(literal 8 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64))))
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 4 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x #s(literal 2 binary64))
(fma.f64 x (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x))) (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64))))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) x))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64))))) (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64))))))
(+.f64 (/.f64 #s(literal 8 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (/.f64 #s(literal 8 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(+.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x))
(*.f64 (fabs.f64 (*.f64 #s(literal 2/15 binary64) (neg.f64 x))) x)
(*.f64 (fabs.f64 (*.f64 #s(literal 2/15 binary64) x)) x)
(*.f64 (*.f64 #s(literal 2/15 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 2/15 binary64) x) x)
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2/15 binary64)))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
(*.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 2/15 binary64))))
(*.f64 x (fabs.f64 (*.f64 #s(literal 2/15 binary64) x)))
(*.f64 x (*.f64 #s(literal 2/15 binary64) x))
(sqrt.f64 (*.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(fabs.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (neg.f64 (-.f64 x x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (fabs.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (fabs.f64 (-.f64 x x)))
(/.f64 (fabs.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(fma.f64 x #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x x)
(sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x x)) (/.f64 (*.f64 x x) (-.f64 x x)))
(fabs.f64 (neg.f64 (*.f64 x #s(literal 2 binary64))))
(fabs.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))))
(fabs.f64 (*.f64 x #s(literal 2 binary64)))
(fabs.f64 (*.f64 x #s(literal -2 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(+.f64 x x)

eval39.0ms (0.7%)

Memory
-22.2MiB live, 53.1MiB allocated
Compiler

Compiled 11 638 to 1 343 computations (88.5% saved)

prune10.0ms (0.2%)

Memory
20.8MiB live, 20.8MiB allocated
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New2996305
Fresh202
Picked325
Done011
Total3049313
Accuracy
100.0%
Counts
313 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.2%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
26.5%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
26.1%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
3.2%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
6.2%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
5.1%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
6.4%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
4.1%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
50.5%
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
Compiler

Compiled 316 to 228 computations (27.8% saved)

simplify106.0ms (1.8%)

Memory
-29.1MiB live, 93.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 x)
cost-diff0
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff3
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
cost-diff0
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
cost-diff1
(-.f64 (*.f64 x x) #s(literal 1 binary64))
cost-diff5
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
cost-diff0
#s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
cost-diff0
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x))))
cost-diff0
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))
cost-diff0
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))))
cost-diff0
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
cost-diff0
(-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))
cost-diff0
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x))
cost-diff0
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
cost-diff2
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042338
063347
1107347
2305321
31284309
42803309
08576298
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x)
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x))
(-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(*.f64 x x)
x
#s(literal 2/15 binary64)
#s(literal 1/3 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))
#s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))
#s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 1 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
x
#s(literal 1 binary64)
Outputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) x)
(-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
(*.f64 x x)
x
#s(literal 2/15 binary64)
#s(literal 1/3 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))
#s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))
#s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 1 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(*.f64 x x)
x
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(sqrt.f64 x)
x
#s(literal 1 binary64)

localize127.0ms (2.2%)

Memory
35.7MiB live, 118.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sqrt.f64 x)
accuracy0.15234375
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
accuracy13.548790735903717
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy15.674420245268152
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
accuracy0.0
(*.f64 x x)
accuracy9.144841112594468
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy13.548790735903717
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
accuracy15.674420245268152
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
accuracy0.00390625
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x))))
accuracy13.548790735903717
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
accuracy14.390447832020465
#s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
accuracy15.859464410615855
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))
accuracy0.00390625
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))))
accuracy13.548790735903717
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
accuracy14.710460213881321
#s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))
accuracy16.341071246933385
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))
accuracy0.0078125
(-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))
accuracy0.04296875
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x))
accuracy0.05078125
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
accuracy15.929431103630826
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
Samples
45.0ms69×0valid
30.0ms130×0invalid
16.0ms38×1valid
12.0ms18×2valid
1.0ms5exit
Compiler

Compiled 543 to 78 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-mult: 47.0ms (54.7% of total)
const: 9.0ms (10.5% of total)
ival-exp: 7.0ms (8.1% of total)
ival-sub: 6.0ms (7% of total)
ival-add: 6.0ms (7% of total)
adjust: 5.0ms (5.8% of total)
ival-div: 4.0ms (4.7% of total)
ival-sqrt: 2.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
-26.5MiB live, 11.5MiB allocated
Counts
22 → 44
Calls
Call 1
Inputs
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x))
(-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))
#s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))
#s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
(sqrt.f64 x)
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(*.f64 x x)
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
-1
(- (pow x 2) 1)
(sqrt x)
(* 2/15 (pow x 2))
(pow x 2)
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(* x (+ 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@0
((+ (* (* (- (* (* x x) 2/15) 1/3) (* x x)) x) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (* (- (* (* x x) 2/15) 1/3) (* x x)) (- (* (* x x) 2/15) 1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (- (* 2 x) 2) x) 2) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (sqrt x) (sqrt x)) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (sqrt x) (* (* x x) 2/15) (* x x))
3.0ms
x
@-inf
((+ (* (* (- (* (* x x) 2/15) 1/3) (* x x)) x) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (* (- (* (* x x) 2/15) 1/3) (* x x)) (- (* (* x x) 2/15) 1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (- (* 2 x) 2) x) 2) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (sqrt x) (sqrt x)) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (sqrt x) (* (* x x) 2/15) (* x x))
2.0ms
x
@inf
((+ (* (* (- (* (* x x) 2/15) 1/3) (* x x)) x) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (* (- (* (* x x) 2/15) 1/3) (* x x)) (- (* (* x x) 2/15) 1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (- (* 2 x) 2) x) 2) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (sqrt x) (sqrt x)) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (sqrt x) (* (* x x) 2/15) (* x x))

simplify73.0ms (1.2%)

Memory
21.9MiB live, 60.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101339
1276339
2765323
03483305
Stop Event
iter limit
iter limit
node limit
Counts
44 → 43
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
-1
(- (pow x 2) 1)
(sqrt x)
(* 2/15 (pow x 2))
(pow x 2)
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(* x (+ 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 2/15 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64)) #s(literal 1/3 binary64))) x)
(* -1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/3 binary64))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) x)
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (-.f64 x #s(literal -1 binary64)))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (-.f64 x #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 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(sqrt x)
(sqrt.f64 x)
(* 2/15 (pow x 2))
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* 2/15 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/15 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(* 2/15 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/15 binary64))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) x)
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(+ 1 (exp (* -2 x)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* 2 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x)) x)
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x)
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 2/15 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 2/15 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(*.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x)) x)
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x))))
(-.f64 x #s(literal -1 binary64))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

rewrite162.0ms (2.7%)

Memory
-15.4MiB live, 172.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042307
063280
1267278
21979278
09645267
Stop Event
iter limit
node limit
iter limit
Counts
22 → 459
Calls
Call 1
Inputs
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x))
(-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))
#s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))
#s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
(sqrt.f64 x)
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(*.f64 x x)
Outputs
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (sqrt.f64 x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) (sqrt.f64 x)))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) x) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) (fma.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) (fma.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)))) (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))))) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (*.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) (*.f64 x x))) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))) (*.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (*.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (*.f64 (+.f64 (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (pow.f64 (+.f64 (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(neg.f64 (sqrt.f64 x))
(sqrt.f64 x)
(fabs.f64 (sqrt.f64 x))
(exp.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x))))
(*.f64 (fabs.f64 (*.f64 #s(literal 2/15 binary64) x)) x)
(*.f64 (*.f64 #s(literal 2/15 binary64) x) x)
(*.f64 (sqrt.f64 x) (fabs.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2/15 binary64) x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2/15 binary64) x)))
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(*.f64 x (fabs.f64 (*.f64 #s(literal 2/15 binary64) x)))
(*.f64 x (*.f64 #s(literal 2/15 binary64) x))
(sqrt.f64 (*.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(fabs.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))

eval80.0ms (1.3%)

Memory
28.9MiB live, 75.0MiB allocated
Compiler

Compiled 15 085 to 1 883 computations (87.5% saved)

prune32.0ms (0.5%)

Memory
-2.2MiB live, 34.8MiB allocated
Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New4368444
Fresh101
Picked235
Done033
Total43914453
Accuracy
100.0%
Counts
453 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.2%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
26.5%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
5.2%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
3.1%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
3.2%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 x (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 x (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
3.2%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
6.2%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
3.1%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
29.0%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
6.4%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
4.5%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
4.1%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
50.5%
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
49.0%
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
Compiler

Compiled 540 to 383 computations (29.1% saved)

simplify119.0ms (2%)

Memory
0.5MiB live, 119.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff1
(neg.f64 (-.f64 x #s(literal 1 binary64)))
cost-diff1
(/.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
cost-diff9
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
cost-diff12
(fma.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
cost-diff0
(/.f64 (*.f64 x x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
cost-diff0
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))))
cost-diff0
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
cost-diff17
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
cost-diff0
(fma.f64 x x #s(literal -1 binary64))
cost-diff0
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
cost-diff0
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
cost-diff5
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
cost-diff0
#s(approx (+ (* (sqrt x) (sqrt x)) 1) x)
cost-diff0
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x))
cost-diff0
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
cost-diff0
#s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64))
cost-diff0
(*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x))
cost-diff0
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
cost-diff2
(fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049446
075334
1141325
2459295
32700276
08541274
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)
(*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x))
#s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(*.f64 x x)
x
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x))
#s(approx (+ (* (sqrt x) (sqrt x)) 1) x)
x
#s(literal 1 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 x x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 x x)
x
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(-.f64 (sqrt.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 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 x x)
x
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64))))
#s(literal 1 binary64)
(neg.f64 (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))
Outputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x))
(fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x)
(*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x))
(*.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x) x)
#s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(*.f64 x x)
x
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x))
#s(approx (+ (* (sqrt x) (sqrt x)) 1) x)
x
#s(literal 1 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 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))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal 1 binary64))
(/.f64 (*.f64 x x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 x (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) x)
(*.f64 x x)
x
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(-.f64 (sqrt.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 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal 1 binary64))
(/.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (neg.f64 x) x)
(*.f64 x x)
x
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
#s(literal -1 binary64)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 (fma.f64 x x #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(neg.f64 (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))

localize214.0ms (3.6%)

Memory
-25.3MiB live, 182.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy9.152653612594468
(fma.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
accuracy9.686664287586087
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
accuracy13.548790735903717
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
accuracy15.674420245268152
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))))
accuracy3.266974578914023
(/.f64 (*.f64 x x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
accuracy5.841302944397551
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
accuracy13.548790735903717
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
accuracy15.674420245268152
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))))
accuracy0.0
(-.f64 x #s(literal 1 binary64))
accuracy9.144841112594468
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy13.548790735903717
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
accuracy15.674420245268152
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
accuracy13.548790735903717
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
accuracy14.210868002266
#s(approx (+ (* (sqrt x) (sqrt x)) 1) x)
accuracy15.674420245268152
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x))
accuracy0.00390625
(fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)
accuracy0.04296875
(*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x))
accuracy15.929431103630826
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
accuracy16.373071766637388
#s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64))
Samples
62.0ms18×2valid
35.0ms130×0invalid
23.0ms69×0valid
22.0ms38×1valid
1.0ms5exit
Compiler

Compiled 748 to 91 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 119.0ms
ival-exp: 54.0ms (45.2% of total)
ival-div: 13.0ms (10.9% of total)
ival-mult: 13.0ms (10.9% of total)
const: 10.0ms (8.4% of total)
ival-add: 9.0ms (7.5% of total)
ival-neg: 7.0ms (5.9% of total)
adjust: 5.0ms (4.2% of total)
ival-sub: 5.0ms (4.2% of total)
ival-sqrt: 2.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series24.0ms (0.4%)

Memory
-0.5MiB live, 35.8MiB allocated
Counts
22 → 56
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x))
#s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x))
#s(approx (+ (* (sqrt x) (sqrt x)) 1) x)
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(fma.f64 x x #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 x x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(neg.f64 (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
-1
(- (pow x 2) 1)
(+ 1 (* x (+ 1 (* x (+ 1 (/ 1 (* (+ 1 (sqrt x)) (- (sqrt x) 1))))))))
(+ 1 (* x (+ 1 (* x (+ 1 (+ x (/ 1 (* (+ 1 (sqrt x)) (- (sqrt x) 1)))))))))
(/ (pow x 2) (+ 1 (sqrt x)))
(* -1 (pow x 2))
(+ 1 (* -1 x))
(- x 1)
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(/ 2 (+ 1 (exp (* -2 x))))
(* x (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+ x (* -1 (/ (+ 1 (+ (sqrt (pow x 3)) (* -1 (sqrt (pow x 3))))) x)))
(- (+ 1 x) (+ (sqrt x) (+ (* -1 (sqrt x)) (+ (* -1 (/ (* (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))) (+ (sqrt (pow x 3)) (* -1 (sqrt (pow x 3))))) x)) (+ (/ 1 x) (/ 1 (pow x 2)))))))
(- (+ 1 (+ x (* -1 (/ (+ 1 (+ (sqrt (pow x 5)) (+ (* -1 (sqrt (pow x 5))) (* x (* (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))) (- (pow x 2) (* -1 (* x (* (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))) (+ (sqrt (pow x 3)) (* -1 (sqrt (pow x 3))))))))))))) (pow x 3))))) (+ (sqrt x) (+ (* -1 (sqrt x)) (+ (* -1 (/ (* (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))) (+ (sqrt (pow x 3)) (* -1 (sqrt (pow x 3))))) x)) (+ (/ 1 x) (/ 1 (pow x 2)))))))
(sqrt (pow x 3))
(* x (- (sqrt x) 1))
(* x (- (+ (sqrt x) (sqrt (/ 1 x))) 1))
(* x (- (sqrt x) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (/ 1 x)))))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- 1 (/ 1 x)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x))))
(* -1 (/ x (pow (sqrt -1) 2)))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- 1 (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ 1 (* -1 (/ (- (/ (pow x 2) (pow (sqrt -1) 4)) (+ 1 (/ (* x (* (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (pow (sqrt -1) 2)))) x))) (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- 1 (+ (* -1 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4)))) (+ (* -1 (/ (* x (* (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (- (/ (pow x 2) (pow (sqrt -1) 4)) (/ (* x (* (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4)))))) x)) (/ (pow x 2) (pow (sqrt -1) 4))) (+ 1 (/ (* x (* (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (pow (sqrt -1) 2)))) x))) (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)))
(* -1 (sqrt (pow x 3)))
(* -1 (* x (- (sqrt x) (/ 1 (pow (sqrt -1) 2)))))
(* -1 (* x (+ (sqrt x) (* -1 (/ (- (* -1 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1 (/ x (pow (sqrt -1) 2)))) x)))))
(* -1 (* x (+ (sqrt x) (* -1 (/ (- (* -1 (/ (- (/ x (pow (sqrt -1) 4)) (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) x)))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- (/ 1 x) 1)))
Calls

3 calls:

TimeVariablePointExpression
14.0ms
x
@-inf
((+ (* (* (- (* (* x x) 2/15) 1/3) (* x x)) x) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (* (- (* (* x x) 2/15) 1/3) (* x x)) (- (* (* x x) 2/15) 1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (sqrt x) (sqrt x)) 1) (/ (+ (* x x) -1) (- x 1)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* x x) -1) (+ (* (/ (* x x) (+ (sqrt x) 1)) (/ 1 (- (sqrt x) 1))) (/ -1 (- x 1))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (/ (* x x) (+ (sqrt x) 1)) (+ (* (/ (* x x) (/ (+ (* x x) -1) (neg (+ (* x x) -1)))) (/ 1 (neg (- x 1)))) (/ -1 (- x 1))) (/ (+ (* x x) -1) (neg (+ (* x x) -1))) (/ (* x x) (/ (+ (* x x) -1) (neg (+ (* x x) -1)))) (neg (- x 1)) (- x 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1))
5.0ms
x
@inf
((+ (* (* (- (* (* x x) 2/15) 1/3) (* x x)) x) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (* (- (* (* x x) 2/15) 1/3) (* x x)) (- (* (* x x) 2/15) 1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (sqrt x) (sqrt x)) 1) (/ (+ (* x x) -1) (- x 1)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* x x) -1) (+ (* (/ (* x x) (+ (sqrt x) 1)) (/ 1 (- (sqrt x) 1))) (/ -1 (- x 1))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (/ (* x x) (+ (sqrt x) 1)) (+ (* (/ (* x x) (/ (+ (* x x) -1) (neg (+ (* x x) -1)))) (/ 1 (neg (- x 1)))) (/ -1 (- x 1))) (/ (+ (* x x) -1) (neg (+ (* x x) -1))) (/ (* x x) (/ (+ (* x x) -1) (neg (+ (* x x) -1)))) (neg (- x 1)) (- x 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1))
3.0ms
x
@0
((+ (* (* (- (* (* x x) 2/15) 1/3) (* x x)) x) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (* (- (* (* x x) 2/15) 1/3) (* x x)) (- (* (* x x) 2/15) 1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (sqrt x) (sqrt x)) 1) (/ (+ (* x x) -1) (- x 1)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* x x) -1) (+ (* (/ (* x x) (+ (sqrt x) 1)) (/ 1 (- (sqrt x) 1))) (/ -1 (- x 1))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (/ (* x x) (+ (sqrt x) 1)) (+ (* (/ (* x x) (/ (+ (* x x) -1) (neg (+ (* x x) -1)))) (/ 1 (neg (- x 1)))) (/ -1 (- x 1))) (/ (+ (* x x) -1) (neg (+ (* x x) -1))) (/ (* x x) (/ (+ (* x x) -1) (neg (+ (* x x) -1)))) (neg (- x 1)) (- x 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1))

simplify110.0ms (1.9%)

Memory
-0.7MiB live, 158.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0211844
1674562
22951474
09001463
Stop Event
iter limit
node limit
Counts
56 → 55
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
-1
(- (pow x 2) 1)
(+ 1 (* x (+ 1 (* x (+ 1 (/ 1 (* (+ 1 (sqrt x)) (- (sqrt x) 1))))))))
(+ 1 (* x (+ 1 (* x (+ 1 (+ x (/ 1 (* (+ 1 (sqrt x)) (- (sqrt x) 1)))))))))
(/ (pow x 2) (+ 1 (sqrt x)))
(* -1 (pow x 2))
(+ 1 (* -1 x))
(- x 1)
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(/ 2 (+ 1 (exp (* -2 x))))
(* x (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+ x (* -1 (/ (+ 1 (+ (sqrt (pow x 3)) (* -1 (sqrt (pow x 3))))) x)))
(- (+ 1 x) (+ (sqrt x) (+ (* -1 (sqrt x)) (+ (* -1 (/ (* (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))) (+ (sqrt (pow x 3)) (* -1 (sqrt (pow x 3))))) x)) (+ (/ 1 x) (/ 1 (pow x 2)))))))
(- (+ 1 (+ x (* -1 (/ (+ 1 (+ (sqrt (pow x 5)) (+ (* -1 (sqrt (pow x 5))) (* x (* (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))) (- (pow x 2) (* -1 (* x (* (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))) (+ (sqrt (pow x 3)) (* -1 (sqrt (pow x 3))))))))))))) (pow x 3))))) (+ (sqrt x) (+ (* -1 (sqrt x)) (+ (* -1 (/ (* (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))) (+ (sqrt (pow x 3)) (* -1 (sqrt (pow x 3))))) x)) (+ (/ 1 x) (/ 1 (pow x 2)))))))
(sqrt (pow x 3))
(* x (- (sqrt x) 1))
(* x (- (+ (sqrt x) (sqrt (/ 1 x))) 1))
(* x (- (sqrt x) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (/ 1 x)))))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- 1 (/ 1 x)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x))))
(* -1 (/ x (pow (sqrt -1) 2)))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- 1 (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ 1 (* -1 (/ (- (/ (pow x 2) (pow (sqrt -1) 4)) (+ 1 (/ (* x (* (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (pow (sqrt -1) 2)))) x))) (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- 1 (+ (* -1 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4)))) (+ (* -1 (/ (* x (* (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (- (/ (pow x 2) (pow (sqrt -1) 4)) (/ (* x (* (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4)))))) x)) (/ (pow x 2) (pow (sqrt -1) 4))) (+ 1 (/ (* x (* (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (pow (sqrt -1) 2)))) x))) (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)))
(* -1 (sqrt (pow x 3)))
(* -1 (* x (- (sqrt x) (/ 1 (pow (sqrt -1) 2)))))
(* -1 (* x (+ (sqrt x) (* -1 (/ (- (* -1 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1 (/ x (pow (sqrt -1) 2)))) x)))))
(* -1 (* x (+ (sqrt x) (* -1 (/ (- (* -1 (/ (- (/ x (pow (sqrt -1) 4)) (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) x)))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- (/ 1 x) 1)))
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 2/15 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64)) #s(literal 1/3 binary64))) x)
(* -1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/3 binary64))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x)
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(+.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1 (/ 1 (* (+ 1 (sqrt x)) (- (sqrt x) 1))))))))
(fma.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(literal 1 binary64)))) x) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1 (+ x (/ 1 (* (+ 1 (sqrt x)) (- (sqrt x) 1)))))))))
(fma.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(/ (pow x 2) (+ 1 (sqrt x)))
(*.f64 x (/.f64 x (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(* 2/15 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/15 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(* 2/15 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/15 binary64))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) x)
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x)
(+ x (* -1 (/ (+ 1 (+ (sqrt (pow x 3)) (* -1 (sqrt (pow x 3))))) x)))
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(- (+ 1 x) (+ (sqrt x) (+ (* -1 (sqrt x)) (+ (* -1 (/ (* (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))) (+ (sqrt (pow x 3)) (* -1 (sqrt (pow x 3))))) x)) (+ (/ 1 x) (/ 1 (pow x 2)))))))
(-.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
(- (+ 1 (+ x (* -1 (/ (+ 1 (+ (sqrt (pow x 5)) (+ (* -1 (sqrt (pow x 5))) (* x (* (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))) (- (pow x 2) (* -1 (* x (* (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))) (+ (sqrt (pow x 3)) (* -1 (sqrt (pow x 3))))))))))))) (pow x 3))))) (+ (sqrt x) (+ (* -1 (sqrt x)) (+ (* -1 (/ (* (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))) (+ (sqrt (pow x 3)) (* -1 (sqrt (pow x 3))))) x)) (+ (/ 1 x) (/ 1 (pow x 2)))))))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(* x (- (sqrt x) 1))
(*.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) x)
(* x (- (+ (sqrt x) (sqrt (/ 1 x))) 1))
(*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) x)
(* x (- (sqrt x) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (/ 1 x)))))
(*.f64 (-.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(* x (- 1 (/ 1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 2/15 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 2/15 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x))))
(-.f64 x #s(literal -1 binary64))
(* -1 (/ x (pow (sqrt -1) 2)))
x
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- 1 (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)))
(-.f64 x (/.f64 #s(literal 1 binary64) x))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ 1 (* -1 (/ (- (/ (pow x 2) (pow (sqrt -1) 4)) (+ 1 (/ (* x (* (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (pow (sqrt -1) 2)))) x))) (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)))
(-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) x))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- 1 (+ (* -1 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4)))) (+ (* -1 (/ (* x (* (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (- (/ (pow x 2) (pow (sqrt -1) 4)) (/ (* x (* (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4)))))) x)) (/ (pow x 2) (pow (sqrt -1) 4))) (+ 1 (/ (* x (* (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (pow (sqrt -1) 2)))) x))) (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)))
(-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x))) x))
(* -1 (sqrt (pow x 3)))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* -1 (* x (- (sqrt x) (/ 1 (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 x) (-.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(* -1 (* x (+ (sqrt x) (* -1 (/ (- (* -1 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1 (/ x (pow (sqrt -1) 2)))) x)))))
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (/.f64 (-.f64 (sqrt.f64 x) x) x)) x)
(* -1 (* x (+ (sqrt x) (* -1 (/ (- (* -1 (/ (- (/ x (pow (sqrt -1) 4)) (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) x)))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) x) x) x) (sqrt.f64 x)))
(* -1 (* x (- 1 (/ 1 x))))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(* -1 (* x (- (/ 1 x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))

rewrite238.0ms (4%)

Memory
29.3MiB live, 305.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049377
075275
1317210
22950210
09958208
Stop Event
iter limit
node limit
iter limit
Counts
22 → 861
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x))
#s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x))
#s(approx (+ (* (sqrt x) (sqrt x)) 1) x)
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(fma.f64 x x #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 x x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(neg.f64 (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
Outputs
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
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(/.f64 (-.f64 (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (pow.f64 (+.f64 (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))

eval110.0ms (1.9%)

Memory
-14.6MiB live, 146.1MiB allocated
Compiler

Compiled 23 628 to 2 937 computations (87.6% saved)

prune32.0ms (0.5%)

Memory
3.0MiB live, 77.2MiB allocated
Pruning

25 alts after pruning (16 fresh and 9 done)

PrunedKeptTotal
New62713640
Fresh033
Picked235
Done066
Total62925654
Accuracy
100.0%
Counts
654 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.3%
(/.f64 (-.f64 (*.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x))) #s(literal 1 binary64)) (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64)))
55.2%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
26.5%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
2.8%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) x #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
3.1%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
3.2%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 x (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 x (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
6.4%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) x) (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
3.1%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
3.2%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
4.5%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fabs.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 x (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))) (fabs.f64 (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
20.0%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fabs.f64 (*.f64 x (/.f64 x (fma.f64 x x #s(literal 1 binary64))))) (fabs.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
2.6%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 #s(approx (/ (* x x) (+ (sqrt x) 1)) (*.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
3.1%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1 binary64)))) #s(literal 1 binary64))
3.8%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
2.6%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) x #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)))) #s(literal 1 binary64))
2.8%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))))) #s(literal 1 binary64))
3.1%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
29.0%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
6.4%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
6.2%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
3.3%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (/ (* x x) (+ (sqrt x) 1)) (/ 1 (- (sqrt x) 1))) (/ -1 (- x 1))) (-.f64 x (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
4.5%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
4.1%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
50.5%
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
49.0%
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
Compiler

Compiled 1 618 to 676 computations (58.2% saved)

regimes61.0ms (1%)

Memory
-6.8MiB live, 84.3MiB allocated
Counts
35 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (/ (* x x) (+ (sqrt x) 1)) (/ 1 (- (sqrt x) 1))) (/ -1 (- x 1))) (-.f64 x (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x))) #s(literal 1 binary64)) (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64)))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fabs.f64 (*.f64 x (/.f64 x (fma.f64 x x #s(literal 1 binary64))))) (fabs.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) x) (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 #s(approx (/ (* x x) (+ (sqrt x) 1)) (*.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 x (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 x (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fabs.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 x (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))) (fabs.f64 (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) x #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) x #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Outputs
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Calls

6 calls:

11.0ms
(exp.f64 (*.f64 #s(literal -2 binary64) x))
11.0ms
x
10.0ms
(*.f64 #s(literal -2 binary64) x)
9.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
8.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
100.0%3x
100.0%3(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
100.0%3(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
100.0%3(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
100.0%3(exp.f64 (*.f64 #s(literal -2 binary64) x))
100.0%3(*.f64 #s(literal -2 binary64) x)
Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes82.0ms (1.4%)

Memory
-6.5MiB live, 70.1MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (/ (* x x) (+ (sqrt x) 1)) (/ 1 (- (sqrt x) 1))) (/ -1 (- x 1))) (-.f64 x (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x))) #s(literal 1 binary64)) (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64)))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fabs.f64 (*.f64 x (/.f64 x (fma.f64 x x #s(literal 1 binary64))))) (fabs.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) x) (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 #s(approx (/ (* x x) (+ (sqrt x) 1)) (*.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 x (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 x (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fabs.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 x (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))) (fabs.f64 (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) x #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) x #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))
Outputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
Calls

6 calls:

26.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
20.0ms
x
10.0ms
(*.f64 #s(literal -2 binary64) x)
8.0ms
(exp.f64 (*.f64 #s(literal -2 binary64) x))
8.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
Results
AccuracySegmentsBranch
74.6%2x
74.6%2(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
74.6%2(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
74.6%2(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
74.6%2(exp.f64 (*.f64 #s(literal -2 binary64) x))
74.6%2(*.f64 #s(literal -2 binary64) x)
Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes29.0ms (0.5%)

Memory
-6.6MiB live, 35.7MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (/ (* x x) (+ (sqrt x) 1)) (/ 1 (- (sqrt x) 1))) (/ -1 (- x 1))) (-.f64 x (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x))) #s(literal 1 binary64)) (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64)))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
Outputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
Calls

6 calls:

9.0ms
x
4.0ms
(*.f64 #s(literal -2 binary64) x)
4.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
4.0ms
(exp.f64 (*.f64 #s(literal -2 binary64) x))
4.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
Results
AccuracySegmentsBranch
73.8%2x
73.8%2(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
73.8%2(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
73.8%2(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
73.8%2(exp.f64 (*.f64 #s(literal -2 binary64) x))
73.8%2(*.f64 #s(literal -2 binary64) x)
Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes23.0ms (0.4%)

Memory
-0.5MiB live, 35.7MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (/ (* x x) (+ (sqrt x) 1)) (/ 1 (- (sqrt x) 1))) (/ -1 (- x 1))) (-.f64 x (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x))) #s(literal 1 binary64)) (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64)))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
Outputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
Calls

6 calls:

4.0ms
x
4.0ms
(*.f64 #s(literal -2 binary64) x)
3.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
3.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
3.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
Results
AccuracySegmentsBranch
73.8%2(*.f64 #s(literal -2 binary64) x)
73.8%2x
73.8%2(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
73.8%2(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
73.8%2(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
73.8%2(exp.f64 (*.f64 #s(literal -2 binary64) x))
Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes13.0ms (0.2%)

Memory
32.1MiB live, 32.1MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (/ (* x x) (+ (sqrt x) 1)) (/ 1 (- (sqrt x) 1))) (/ -1 (- x 1))) (-.f64 x (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
Outputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
Calls

6 calls:

2.0ms
(*.f64 #s(literal -2 binary64) x)
2.0ms
x
2.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
2.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
2.0ms
(exp.f64 (*.f64 #s(literal -2 binary64) x))
Results
AccuracySegmentsBranch
49.0%1(*.f64 #s(literal -2 binary64) x)
49.0%1x
49.0%1(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
49.0%1(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
49.0%1(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
49.0%1(exp.f64 (*.f64 #s(literal -2 binary64) x))
Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes12.0ms (0.2%)

Memory
-15.0MiB live, 23.3MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
Calls

6 calls:

3.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
2.0ms
(*.f64 #s(literal -2 binary64) x)
2.0ms
x
1.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
1.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
6.4%1x
6.4%1(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
6.4%1(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
6.4%1(*.f64 #s(literal -2 binary64) x)
6.4%1(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
6.4%1(exp.f64 (*.f64 #s(literal -2 binary64) x))
Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes8.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
Calls

6 calls:

1.0ms
(*.f64 #s(literal -2 binary64) x)
1.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
1.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
1.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
Results
AccuracySegmentsBranch
4.5%1x
4.5%1(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
4.5%1(exp.f64 (*.f64 #s(literal -2 binary64) x))
4.5%1(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
4.5%1(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
4.5%1(*.f64 #s(literal -2 binary64) x)
Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes7.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

1.0ms
(*.f64 #s(literal -2 binary64) x)
1.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
1.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
1.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
Results
AccuracySegmentsBranch
4.1%1x
4.1%1(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
4.1%1(exp.f64 (*.f64 #s(literal -2 binary64) x))
4.1%1(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
4.1%1(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
4.1%1(*.f64 #s(literal -2 binary64) x)
Compiler

Compiled 32 to 31 computations (3.1% saved)

bsearch1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.3990335516134832e-5
0.06736234294054459
0.0ms
-55.40807690622423
-5.022721524591681e-8
Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.06736234294054459
130025556890248.1
Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0696830000461404
+inf
Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0696830000461404
+inf
Compiler

Compiled 13 to 13 computations (0% saved)

simplify75.0ms (1.3%)

Memory
-39.0MiB live, 46.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070292
1113292
2237292
3571292
41087292
53884292
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -50 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
Outputs
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -50 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(if (or (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -50 binary64)) (not (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 5902958103587057/295147905179352825856 binary64)))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))

soundness770.0ms (13%)

Memory
21.8MiB live, 576.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088267
1248257
2680255
32403255
08527231
0101339
1276339
2765323
03483305
033206
051206
1222206
21628206
09327206
049161
1146161
2393151
31320151
43176151
57220151
08240137
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 633 to 339 computations (46.4% saved)

preprocess85.0ms (1.4%)

Memory
-5.7MiB live, 76.9MiB allocated
Compiler

Compiled 612 to 170 computations (72.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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