Logistic function from Lakshay Garg

Time bar (total: 5.0s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
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 (36.8%)

Memory
-38.3MiB live, 1 785.2MiB allocated; 248ms collecting garbage
Samples
703.0ms1 658×2valid
449.0ms2 386×1valid
293.0ms4 212×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-exp: 457.0ms (40.6% of total)
adjust: 169.0ms (15% of total)
ival-div: 156.0ms (13.8% of total)
ival-sub: 122.0ms (10.8% of total)
ival-add: 118.0ms (10.5% of total)
ival-mult: 89.0ms (7.9% of total)
exact: 12.0ms (1.1% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain202.0ms (4%)

Memory
7.7MiB live, 245.9MiB allocated; 20ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1420-0-(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
01(55.34169494985481)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))cancellation1420
exp.f64(exp.f64 (*.f64 #s(literal -2 binary64) x))sensitivity12
Confusion
Predicted +Predicted -
+1420
-1113
Precision
0.993006993006993
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+14200
-12111
Precision?
0.9793103448275862
Recall?
1.0
Freqs
test
numberfreq
0113
1143
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
51.0ms102×2valid
28.0ms182×1valid
14.0ms228×0valid
Compiler

Compiled 84 to 31 computations (63.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-exp: 39.0ms (53.2% of total)
ival-div: 10.0ms (13.7% of total)
adjust: 10.0ms (13.7% of total)
ival-add: 5.0ms (6.8% of total)
ival-sub: 4.0ms (5.5% of total)
ival-mult: 4.0ms (5.5% of total)
ival-true: 1.0ms (1.4% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)

preprocess183.0ms (3.7%)

Memory
44.8MiB live, 182.2MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01633
13331
27331
325331
4128330
0910
01410
12410
24610
311410
449810
5529810
0837910
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
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.4%
(-.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)

series13.0ms (0.3%)

Memory
-37.5MiB live, 7.8MiB allocated; 5ms collecting garbage
Counts
9 → 22
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
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (+ 1 x)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 2))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* x (- (* 2 x) 2)))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (exp (* -2 x)) #s(hole binary64 1))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (* -2 x) #s(hole binary64 (* -2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (/ 2 (+ 1 (exp (* -2 x))))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 1 (exp (* -2 x)))))
#s(approx (exp (* -2 x)) #s(hole binary64 (exp (* -2 x))))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@inf
((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) 2 (+ 1 (exp (* -2 x))) 1 (exp (* -2 x)) (* -2 x) -2 x)
2.0ms
x
@-inf
((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) 2 (+ 1 (exp (* -2 x))) 1 (exp (* -2 x)) (* -2 x) -2 x)
1.0ms
x
@0
((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) 2 (+ 1 (exp (* -2 x))) 1 (exp (* -2 x)) (* -2 x) -2 x)

rewrite1.1s (22.4%)

Memory
-193.2MiB live, 193.1MiB allocated; 1.5s collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077369
084367
1416357
03533339
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
31 → 117
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
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (+ 1 x)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 2))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* x (- (* 2 x) 2)))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (exp (* -2 x)) #s(hole binary64 1))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (exp (* -2 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (* -2 x) #s(hole binary64 (* -2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (/ 2 (+ 1 (exp (* -2 x))))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 1 (exp (* -2 x)))))
#s(approx (exp (* -2 x)) #s(hole binary64 (exp (* -2 x))))
Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.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 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal -4 binary64) (*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #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 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -4 binary64) x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -4 binary64) x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 2 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 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 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.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) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 2 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 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #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 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -4 binary64) x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 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 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))) (-.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) (*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) (*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 (pow.f64 (exp.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 (fma.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (exp.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 -4 binary64) (*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 4 binary64) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))))
(neg.f64 (/.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))))
(neg.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64)))
(neg.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -4 binary64) x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(literal 2 binary64)
(/.f64 (expm1.f64 (*.f64 #s(literal -4 binary64) x)) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -4 binary64) x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -4 binary64) x))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 #s(literal -4 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(fma.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))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (/.f64 (exp.f64 (*.f64 #s(literal -4 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) (sinh.f64 (*.f64 x #s(literal -2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.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) (pow.f64 (exp.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 (exp.f64 x) #s(literal -2 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) x)
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (sinh.f64 (*.f64 x #s(literal -2 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)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) (cosh.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 x #s(literal -2 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)))))))
(fma.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 x #s(literal -2 binary64)))))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -2 binary64))) x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(+.f64 (*.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (sinh.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))))
(*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal -4 binary64) x) #s(literal 2 binary64))
(neg.f64 (*.f64 x #s(literal 2 binary64)))
#s(literal -2 binary64)
x
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) x)
#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))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) x))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) #s(literal -1 binary64)))
#s(approx (/ 2 (+ 1 (exp (* -2 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) #s(literal -1 binary64)))
#s(approx (+ 1 (exp (* -2 x))) #s(literal 2 binary64))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ 1 (exp (* -2 x))) (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)))
#s(approx (exp (* -2 x)) #s(literal 1 binary64))
#s(approx (exp (* -2 x)) (fma.f64 x #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (exp (* -2 x)) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (* -2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 1 binary64)))
#s(approx (* -2 x) (*.f64 x #s(literal -2 binary64)))
#s(approx x x)
#s(approx (- (/ 2 (+ 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)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))
#s(approx (exp (* -2 x)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))

eval15.0ms (0.3%)

Memory
29.9MiB live, 29.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 206 to 424 computations (80.8% saved)

prune19.0ms (0.4%)

Memory
-30.6MiB live, 16.5MiB allocated; 2ms collecting garbage
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1126118
Fresh000
Picked011
Done000
Total1127119
Accuracy
100.0%
Counts
119 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.4%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
27.2%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (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)))) #s(literal 1 binary64))
27.1%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
26.6%
(-.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))
48.4%
(+.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))))
55.8%
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
58.0%
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) x)
Compiler

Compiled 210 to 165 computations (21.4% saved)

series9.0ms (0.2%)

Memory
17.8MiB live, 17.8MiB allocated; 0ms collecting garbage
Counts
26 → 62
Calls
Call 1
Inputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) x)
x
(-.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 x #s(literal -2 binary64) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
#s(literal -2 binary64)
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.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 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (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)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (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))))
#s(approx (+ 1 (exp (* -2 x))) (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)))
(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))
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
#s(literal -4/3 binary64)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -1/3 binary64)
Outputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (+ 1 x)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 2))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* x (- (* 2 x) 2)))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (+ (* x -2) 2) #s(hole binary64 2))
#s(approx (+ (* x -2) 2) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (+ 2 (* x (- (* 2 x) 2)))))
#s(approx (+ (* x 2) -2) #s(hole binary64 -2))
#s(approx (+ (* x 2) -2) #s(hole binary64 (- (* 2 x) 2)))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (+ 2 (* x (- (* 2 x) 2)))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(hole binary64 -2))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(hole binary64 (- (* 2 x) 2)))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(hole binary64 (- (* x (+ 2 (* -4/3 x))) 2)))
#s(approx (+ (* -4/3 x) 2) #s(hole binary64 2))
#s(approx (+ (* -4/3 x) 2) #s(hole binary64 (+ 2 (* -4/3 x))))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 x))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (/ 2 (+ 1 (exp (* -2 x))))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 1 (exp (* -2 x)))))
#s(approx (+ (* x -2) 2) #s(hole binary64 (* -2 x)))
#s(approx (+ (* x -2) 2) #s(hole binary64 (* x (- (* 2 (/ 1 x)) 2))))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (* (pow x 2) (- 2 (* 2 (/ 1 x))))))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))))
#s(approx (+ (* x 2) -2) #s(hole binary64 (* 2 x)))
#s(approx (+ (* x 2) -2) #s(hole binary64 (* x (- 2 (* 2 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (* -4/3 (pow x 3))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (* (pow x 3) (- (* 2 (/ 1 x)) 4/3))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(hole binary64 (* -4/3 (pow x 2))))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 x)) 4/3))))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))))
#s(approx (+ (* -4/3 x) 2) #s(hole binary64 (* -4/3 x)))
#s(approx (+ (* -4/3 x) 2) #s(hole binary64 (* x (- (* 2 (/ 1 x)) 4/3))))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 (* -1/3 (pow x 3))))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))))
#s(approx (+ (* x -2) 2) #s(hole binary64 (* -1 (* x (- 2 (* 2 (/ 1 x)))))))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))))
#s(approx (+ (* x 2) -2) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 x)) 2)))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))))
#s(approx (+ (* -4/3 x) 2) #s(hole binary64 (* -1 (* x (- 4/3 (* 2 (/ 1 x)))))))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((- (/ 2 (+ 1 (exp (* -2 x)))) 1) x (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) 2 (+ 1 (exp (* -2 x))) (+ (* x -2) 2) -2 1 (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* x 2) -2) x) 2) (+ (* x 2) -2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (+ (* (+ (* -4/3 x) 2) x) -2) (+ (* -4/3 x) 2) -4/3 (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) -1/3) x) (pow x 3) 3 -1/3)
3.0ms
x
@inf
((- (/ 2 (+ 1 (exp (* -2 x)))) 1) x (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) 2 (+ 1 (exp (* -2 x))) (+ (* x -2) 2) -2 1 (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* x 2) -2) x) 2) (+ (* x 2) -2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (+ (* (+ (* -4/3 x) 2) x) -2) (+ (* -4/3 x) 2) -4/3 (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) -1/3) x) (pow x 3) 3 -1/3)
2.0ms
x
@0
((- (/ 2 (+ 1 (exp (* -2 x)))) 1) x (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) 2 (+ 1 (exp (* -2 x))) (+ (* x -2) 2) -2 1 (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* x 2) -2) x) 2) (+ (* x 2) -2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (+ (* (+ (* -4/3 x) 2) x) -2) (+ (* -4/3 x) 2) -4/3 (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) -1/3) x) (pow x 3) 3 -1/3)

rewrite171.0ms (3.4%)

Memory
19.3MiB live, 202.3MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02011244
02171173
19411139
083191134
Stop Event
iter limit
node limit
iter limit
Counts
88 → 346
Calls
Call 1
Inputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) x)
x
(-.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 x #s(literal -2 binary64) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
#s(literal -2 binary64)
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.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 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (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)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (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))))
#s(approx (+ 1 (exp (* -2 x))) (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)))
(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))
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
#s(literal -4/3 binary64)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -1/3 binary64)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (+ 1 x)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 2))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* x (- (* 2 x) 2)))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (+ (* x -2) 2) #s(hole binary64 2))
#s(approx (+ (* x -2) 2) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (+ 2 (* x (- (* 2 x) 2)))))
#s(approx (+ (* x 2) -2) #s(hole binary64 -2))
#s(approx (+ (* x 2) -2) #s(hole binary64 (- (* 2 x) 2)))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (+ 2 (* x (- (* 2 x) 2)))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(hole binary64 -2))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(hole binary64 (- (* 2 x) 2)))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(hole binary64 (- (* x (+ 2 (* -4/3 x))) 2)))
#s(approx (+ (* -4/3 x) 2) #s(hole binary64 2))
#s(approx (+ (* -4/3 x) 2) #s(hole binary64 (+ 2 (* -4/3 x))))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 x))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (/ 2 (+ 1 (exp (* -2 x))))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 1 (exp (* -2 x)))))
#s(approx (+ (* x -2) 2) #s(hole binary64 (* -2 x)))
#s(approx (+ (* x -2) 2) #s(hole binary64 (* x (- (* 2 (/ 1 x)) 2))))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (* (pow x 2) (- 2 (* 2 (/ 1 x))))))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))))
#s(approx (+ (* x 2) -2) #s(hole binary64 (* 2 x)))
#s(approx (+ (* x 2) -2) #s(hole binary64 (* x (- 2 (* 2 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (* -4/3 (pow x 3))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (* (pow x 3) (- (* 2 (/ 1 x)) 4/3))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(hole binary64 (* -4/3 (pow x 2))))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 x)) 4/3))))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))))
#s(approx (+ (* -4/3 x) 2) #s(hole binary64 (* -4/3 x)))
#s(approx (+ (* -4/3 x) 2) #s(hole binary64 (* x (- (* 2 (/ 1 x)) 4/3))))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 (* -1/3 (pow x 3))))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))))
#s(approx (+ (* x -2) 2) #s(hole binary64 (* -1 (* x (- 2 (* 2 (/ 1 x)))))))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))))
#s(approx (+ (* x 2) -2) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 x)) 2)))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))))
#s(approx (+ (* -4/3 x) 2) #s(hole binary64 (* -1 (* x (- 4/3 (* 2 (/ 1 x)))))))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))))
Outputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) x)
x
(/.f64 (neg.f64 (-.f64 (pow.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 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.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 (neg.f64 (-.f64 (pow.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 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.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)) (pow.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 2 binary64)))))
(/.f64 (-.f64 #s(literal -4 binary64) (*.f64 (neg.f64 #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (neg.f64 #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.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 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 (-.f64 (pow.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 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.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)) (pow.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 2 binary64))))
(fma.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) #s(literal -1 binary64))
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(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)))
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x) x)
(fma.f64 (*.f64 #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 #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)) #s(literal -1/3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x x)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) x)
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/3 binary64) x) x)
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)))
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(-.f64 x (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x))
(-.f64 x (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(-.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)
(+.f64 x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(+.f64 x (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))))
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
#s(literal 3 binary64)
#s(literal -1/3 binary64)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) x)
#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))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) x))
#s(approx x x)
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) #s(literal -1 binary64)))
#s(approx (/ 2 (+ 1 (exp (* -2 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) #s(literal -1 binary64)))
#s(approx (+ 1 (exp (* -2 x))) #s(literal 2 binary64))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ 1 (exp (* -2 x))) (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)))
#s(approx (+ (* x -2) 2) #s(literal 2 binary64))
#s(approx (+ (* x -2) 2) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ (* x 2) -2) x) 2) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* x 2) -2) x) 2) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ (* x 2) -2) #s(literal -2 binary64))
#s(approx (+ (* x 2) -2) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) 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)))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)))
#s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64))
#s(approx (+ (* -4/3 x) 2) (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)))
#s(approx (+ (* (pow x 3) -1/3) x) x)
#s(approx (+ (* (pow x 3) -1/3) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64)))
#s(approx (- (/ 2 (+ 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)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))
#s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64)))
#s(approx (+ (* x -2) 2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x))
#s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
#s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) x))
#s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (+ (* x 2) -2) (*.f64 x #s(literal 2 binary64)))
#s(approx (+ (* x 2) -2) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4/3 binary64)))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 4/3 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 #s(literal -4/3 binary64) x) x))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)) x) x))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 4/3 binary64)) (*.f64 x x)))
#s(approx (+ (* -4/3 x) 2) (*.f64 #s(literal -4/3 binary64) x))
#s(approx (+ (* -4/3 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)) x))
#s(approx (+ (* (pow x 3) -1/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)))
#s(approx (+ (* (pow x 3) -1/3) x) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* x -2) 2) (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
#s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) x))
#s(approx (+ (* x 2) -2) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (neg.f64 (-.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (neg.f64 (-.f64 #s(literal 4/3 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (neg.f64 (-.f64 #s(literal 4/3 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 4/3 binary64)) (*.f64 x x)))
#s(approx (+ (* -4/3 x) 2) (*.f64 (neg.f64 x) (-.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 2 binary64) x))))
#s(approx (+ (* (pow x 3) -1/3) x) (*.f64 (neg.f64 (-.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal 3 binary64))))

eval74.0ms (1.5%)

Memory
-8.6MiB live, 90.1MiB allocated; 13ms collecting garbage
Compiler

Compiled 10 009 to 1 568 computations (84.3% saved)

prune17.0ms (0.3%)

Memory
-11.9MiB live, 31.6MiB allocated; 5ms collecting garbage
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New3644368
Fresh011
Picked235
Done011
Total3669375
Accuracy
100.0%
Counts
375 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.4%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
27.1%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
26.4%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 #s(literal -4/3 binary64) x) x)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
26.6%
(-.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))
24.4%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
23.7%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
48.4%
(+.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))))
55.8%
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
58.0%
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) x)
Compiler

Compiled 277 to 212 computations (23.5% saved)

series82.0ms (1.6%)

Memory
1.9MiB live, 98.1MiB allocated; 10ms collecting garbage
Counts
37 → 98
Calls
Call 1
Inputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/3 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64)))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))
#s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -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 (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))
#s(approx (+ (* (+ (* x 2) -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))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 #s(literal -4/3 binary64) x) x)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 #s(literal -4/3 binary64) x) x)) x #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 #s(literal -4/3 binary64) x) x)) x #s(literal 2 binary64)))
(fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 #s(literal -4/3 binary64) x) x)) x #s(literal 2 binary64))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 #s(literal -4/3 binary64) x) x))
(*.f64 (*.f64 #s(literal -4/3 binary64) x) x)
(*.f64 #s(literal -4/3 binary64) x)
#s(literal -4/3 binary64)
(+.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))))
(pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(exp.f64 x)
#s(literal -1 binary64)
(expm1.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))
(log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
Outputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 x))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (+ 1 x)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 2))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* x (- (* 2 x) 2)))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (+ (* x -2) 2) #s(hole binary64 2))
#s(approx (+ (* x -2) 2) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (* x -2) #s(hole binary64 (* -2 x)))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (+ 2 (* x (- (* 2 x) 2)))))
#s(approx (* (* x 2) x) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* x 2) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (+ 2 (* x (- (* 2 x) 2)))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(hole binary64 -2))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(hole binary64 (- (* 2 x) 2)))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(hole binary64 (- (* x (+ 2 (* -4/3 x))) 2)))
#s(approx (* (* -4/3 x) x) #s(hole binary64 (* -4/3 (pow x 2))))
#s(approx (* -4/3 x) #s(hole binary64 (* -4/3 x)))
#s(approx (+ (pow (- (pow (exp x) -2) -1) -1) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1)) #s(hole binary64 x))
#s(approx (+ (pow (- (pow (exp x) -2) -1) -1) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1)) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (+ (pow (- (pow (exp x) -2) -1) -1) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (+ (pow (- (pow (exp x) -2) -1) -1) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (pow (- (pow (exp x) -2) -1) -1) #s(hole binary64 1/2))
#s(approx (pow (- (pow (exp x) -2) -1) -1) #s(hole binary64 (+ 1/2 (* 1/2 x))))
#s(approx (pow (- (pow (exp x) -2) -1) -1) #s(hole binary64 (+ 1/2 (* x (+ 1/2 (* -1/6 (pow x 2)))))))
#s(approx (pow (- (pow (exp x) -2) -1) -1) #s(hole binary64 (+ 1/2 (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6)))))))
#s(approx (- (pow (exp x) -2) -1) #s(hole binary64 2))
#s(approx (- (pow (exp x) -2) -1) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (- (pow (exp x) -2) -1) #s(hole binary64 (+ 2 (* x (- (* 2 x) 2)))))
#s(approx (- (pow (exp x) -2) -1) #s(hole binary64 (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (pow (exp x) -2) #s(hole binary64 1))
#s(approx (pow (exp x) -2) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (pow (exp x) -2) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (pow (exp x) -2) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) #s(hole binary64 -1/2))
#s(approx (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) #s(hole binary64 (- (* 1/2 x) 1/2)))
#s(approx (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) #s(hole binary64 (- (* x (+ 1/2 (* -1/6 (pow x 2)))) 1/2)))
#s(approx (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) #s(hole binary64 (- (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6)))) 1/2)))
#s(approx (* (log (+ 1 (pow (exp x) -2))) -1) #s(hole binary64 (* -1 (log 2))))
#s(approx (* (log (+ 1 (pow (exp x) -2))) -1) #s(hole binary64 (+ x (* -1 (log 2)))))
#s(approx (* (log (+ 1 (pow (exp x) -2))) -1) #s(hole binary64 (+ (* -1 (log 2)) (* x (+ 1 (* -1/2 x))))))
#s(approx (* (log (+ 1 (pow (exp x) -2))) -1) #s(hole binary64 (+ (* -1 (log 2)) (* x (+ 1 (* x (- (* 1/12 (pow x 2)) 1/2)))))))
#s(approx (log (+ 1 (pow (exp x) -2))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (pow (exp x) -2))) #s(hole binary64 (+ (log 2) (* -1 x))))
#s(approx (log (+ 1 (pow (exp x) -2))) #s(hole binary64 (+ (log 2) (* x (- (* 1/2 x) 1)))))
#s(approx (log (+ 1 (pow (exp x) -2))) #s(hole binary64 (+ (log 2) (* x (- (* x (+ 1/2 (* -1/12 (pow x 2)))) 1)))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 (* -1/3 (pow x 3))))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (/ 2 (+ 1 (exp (* -2 x))))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 1 (exp (* -2 x)))))
#s(approx (+ (* x -2) 2) #s(hole binary64 (* -2 x)))
#s(approx (+ (* x -2) 2) #s(hole binary64 (* x (- (* 2 (/ 1 x)) 2))))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (* (pow x 2) (- 2 (* 2 (/ 1 x))))))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (* -4/3 (pow x 3))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (* (pow x 3) (- (* 2 (/ 1 x)) 4/3))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(hole binary64 (* -4/3 (pow x 2))))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 x)) 4/3))))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))))
#s(approx (+ (pow (- (pow (exp x) -2) -1) -1) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1)) #s(hole binary64 (- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1)))
#s(approx (pow (- (pow (exp x) -2) -1) -1) #s(hole binary64 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))))
#s(approx (- (pow (exp x) -2) -1) #s(hole binary64 (+ 1 (/ 1 (pow (exp x) 2)))))
#s(approx (pow (exp x) -2) #s(hole binary64 (/ 1 (pow (exp x) 2))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) #s(hole binary64 (- (/ 1 (+ 1 (/ 1 (pow (exp x) 2)))) 1)))
#s(approx (* (log (+ 1 (pow (exp x) -2))) -1) #s(hole binary64 (* -1 (log (+ 1 (/ 1 (pow (exp x) 2)))))))
#s(approx (log (+ 1 (pow (exp x) -2))) #s(hole binary64 (log (+ 1 (/ 1 (pow (exp x) 2))))))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* x -2) 2) #s(hole binary64 (* -1 (* x (- 2 (* 2 (/ 1 x)))))))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))))
Calls

3 calls:

TimeVariablePointExpression
42.0ms
x
@-inf
((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (* (* x x) x) -1/3) x) (* (* x x) x) (* x x) x -1/3 (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) 2 (+ 1 (exp (* -2 x))) (+ (* x -2) 2) (* x -2) -2 1 (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* x 2) -2) x) 2) (* (* x 2) x) (* x 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (+ (* (+ (* -4/3 x) 2) x) -2) (* (* -4/3 x) x) (* -4/3 x) -4/3 (+ (pow (- (pow (exp x) -2) -1) -1) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1)) (pow (- (pow (exp x) -2) -1) -1) (- (pow (exp x) -2) -1) (pow (exp x) -2) (exp x) -1 (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) (* (log (+ 1 (pow (exp x) -2))) -1) (log (+ 1 (pow (exp x) -2))))
35.0ms
x
@inf
((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (* (* x x) x) -1/3) x) (* (* x x) x) (* x x) x -1/3 (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) 2 (+ 1 (exp (* -2 x))) (+ (* x -2) 2) (* x -2) -2 1 (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* x 2) -2) x) 2) (* (* x 2) x) (* x 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (+ (* (+ (* -4/3 x) 2) x) -2) (* (* -4/3 x) x) (* -4/3 x) -4/3 (+ (pow (- (pow (exp x) -2) -1) -1) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1)) (pow (- (pow (exp x) -2) -1) -1) (- (pow (exp x) -2) -1) (pow (exp x) -2) (exp x) -1 (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) (* (log (+ 1 (pow (exp x) -2))) -1) (log (+ 1 (pow (exp x) -2))))
3.0ms
x
@0
((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (* (* x x) x) -1/3) x) (* (* x x) x) (* x x) x -1/3 (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) 2 (+ 1 (exp (* -2 x))) (+ (* x -2) 2) (* x -2) -2 1 (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* x 2) -2) x) 2) (* (* x 2) x) (* x 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (+ (* (+ (* -4/3 x) 2) x) -2) (* (* -4/3 x) x) (* -4/3 x) -4/3 (+ (pow (- (pow (exp x) -2) -1) -1) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1)) (pow (- (pow (exp x) -2) -1) -1) (- (pow (exp x) -2) -1) (pow (exp x) -2) (exp x) -1 (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) (* (log (+ 1 (pow (exp x) -2))) -1) (log (+ 1 (pow (exp x) -2))))

rewrite202.0ms (4%)

Memory
9.2MiB live, 195.9MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03262088
03631972
116491972
082451831
Stop Event
iter limit
node limit
iter limit
Counts
135 → 306
Calls
Call 1
Inputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/3 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64)))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))
#s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -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 (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))
#s(approx (+ (* (+ (* x 2) -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))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 #s(literal -4/3 binary64) x) x)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 #s(literal -4/3 binary64) x) x)) x #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 #s(literal -4/3 binary64) x) x)) x #s(literal 2 binary64)))
(fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 #s(literal -4/3 binary64) x) x)) x #s(literal 2 binary64))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 #s(literal -4/3 binary64) x) x))
(*.f64 (*.f64 #s(literal -4/3 binary64) x) x)
(*.f64 #s(literal -4/3 binary64) x)
#s(literal -4/3 binary64)
(+.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))))
(pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(exp.f64 x)
#s(literal -1 binary64)
(expm1.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))
(log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 x))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (+ 1 x)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 2))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* x (- (* 2 x) 2)))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (+ (* x -2) 2) #s(hole binary64 2))
#s(approx (+ (* x -2) 2) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (* x -2) #s(hole binary64 (* -2 x)))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (+ 2 (* x (- (* 2 x) 2)))))
#s(approx (* (* x 2) x) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* x 2) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (+ 2 (* x (- (* 2 x) 2)))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(hole binary64 -2))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(hole binary64 (- (* 2 x) 2)))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(hole binary64 (- (* x (+ 2 (* -4/3 x))) 2)))
#s(approx (* (* -4/3 x) x) #s(hole binary64 (* -4/3 (pow x 2))))
#s(approx (* -4/3 x) #s(hole binary64 (* -4/3 x)))
#s(approx (+ (pow (- (pow (exp x) -2) -1) -1) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1)) #s(hole binary64 x))
#s(approx (+ (pow (- (pow (exp x) -2) -1) -1) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1)) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (+ (pow (- (pow (exp x) -2) -1) -1) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (+ (pow (- (pow (exp x) -2) -1) -1) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (pow (- (pow (exp x) -2) -1) -1) #s(hole binary64 1/2))
#s(approx (pow (- (pow (exp x) -2) -1) -1) #s(hole binary64 (+ 1/2 (* 1/2 x))))
#s(approx (pow (- (pow (exp x) -2) -1) -1) #s(hole binary64 (+ 1/2 (* x (+ 1/2 (* -1/6 (pow x 2)))))))
#s(approx (pow (- (pow (exp x) -2) -1) -1) #s(hole binary64 (+ 1/2 (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6)))))))
#s(approx (- (pow (exp x) -2) -1) #s(hole binary64 2))
#s(approx (- (pow (exp x) -2) -1) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (- (pow (exp x) -2) -1) #s(hole binary64 (+ 2 (* x (- (* 2 x) 2)))))
#s(approx (- (pow (exp x) -2) -1) #s(hole binary64 (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (pow (exp x) -2) #s(hole binary64 1))
#s(approx (pow (exp x) -2) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (pow (exp x) -2) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (pow (exp x) -2) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) #s(hole binary64 -1/2))
#s(approx (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) #s(hole binary64 (- (* 1/2 x) 1/2)))
#s(approx (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) #s(hole binary64 (- (* x (+ 1/2 (* -1/6 (pow x 2)))) 1/2)))
#s(approx (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) #s(hole binary64 (- (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6)))) 1/2)))
#s(approx (* (log (+ 1 (pow (exp x) -2))) -1) #s(hole binary64 (* -1 (log 2))))
#s(approx (* (log (+ 1 (pow (exp x) -2))) -1) #s(hole binary64 (+ x (* -1 (log 2)))))
#s(approx (* (log (+ 1 (pow (exp x) -2))) -1) #s(hole binary64 (+ (* -1 (log 2)) (* x (+ 1 (* -1/2 x))))))
#s(approx (* (log (+ 1 (pow (exp x) -2))) -1) #s(hole binary64 (+ (* -1 (log 2)) (* x (+ 1 (* x (- (* 1/12 (pow x 2)) 1/2)))))))
#s(approx (log (+ 1 (pow (exp x) -2))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (pow (exp x) -2))) #s(hole binary64 (+ (log 2) (* -1 x))))
#s(approx (log (+ 1 (pow (exp x) -2))) #s(hole binary64 (+ (log 2) (* x (- (* 1/2 x) 1)))))
#s(approx (log (+ 1 (pow (exp x) -2))) #s(hole binary64 (+ (log 2) (* x (- (* x (+ 1/2 (* -1/12 (pow x 2)))) 1)))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 (* -1/3 (pow x 3))))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (/ 2 (+ 1 (exp (* -2 x))))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 1 (exp (* -2 x)))))
#s(approx (+ (* x -2) 2) #s(hole binary64 (* -2 x)))
#s(approx (+ (* x -2) 2) #s(hole binary64 (* x (- (* 2 (/ 1 x)) 2))))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (* (pow x 2) (- 2 (* 2 (/ 1 x))))))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (* -4/3 (pow x 3))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (* (pow x 3) (- (* 2 (/ 1 x)) 4/3))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(hole binary64 (* -4/3 (pow x 2))))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 x)) 4/3))))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))))
#s(approx (+ (pow (- (pow (exp x) -2) -1) -1) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1)) #s(hole binary64 (- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1)))
#s(approx (pow (- (pow (exp x) -2) -1) -1) #s(hole binary64 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))))
#s(approx (- (pow (exp x) -2) -1) #s(hole binary64 (+ 1 (/ 1 (pow (exp x) 2)))))
#s(approx (pow (exp x) -2) #s(hole binary64 (/ 1 (pow (exp x) 2))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) #s(hole binary64 (- (/ 1 (+ 1 (/ 1 (pow (exp x) 2)))) 1)))
#s(approx (* (log (+ 1 (pow (exp x) -2))) -1) #s(hole binary64 (* -1 (log (+ 1 (/ 1 (pow (exp x) 2)))))))
#s(approx (log (+ 1 (pow (exp x) -2))) #s(hole binary64 (log (+ 1 (/ 1 (pow (exp x) 2))))))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* x -2) 2) #s(hole binary64 (* -1 (* x (- 2 (* 2 (/ 1 x)))))))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(hole binary64 (* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))))
Outputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)))
(+.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)))))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(fabs.f64 (*.f64 x x))
(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))))
x
#s(literal -1/3 binary64)
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal -4 binary64) (*.f64 (neg.f64 #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (*.f64 (neg.f64 #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (*.f64 #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))
#s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
#s(literal 1 binary64)
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal -4 binary64) (*.f64 (neg.f64 #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 2 binary64))) (*.f64 (neg.f64 #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x))) #s(literal 2 binary64))) (*.f64 #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.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 (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64)))
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(-.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (+.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 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64) #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.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 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64) #s(literal 0 binary64)))))))
(-.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(log.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(log.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) x)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (*.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))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (* (* x x) x) -1/3) x) x)
#s(approx (+ (* (* (* x x) x) -1/3) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.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 #s(literal 1 binary64)))
#s(approx (+ 1 (exp (* -2 x))) #s(literal 2 binary64))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal -2 binary64) #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(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(approx (+ (* x -2) 2) #s(literal 2 binary64))
#s(approx (+ (* x -2) 2) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
#s(approx (* x -2) (*.f64 x #s(literal -2 binary64)))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ (* x 2) -2) x) 2) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* x 2) -2) x) 2) (fma.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x #s(literal 2 binary64)))
#s(approx (* (* x 2) x) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
#s(approx (* x 2) (*.f64 x #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (fma.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) 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)))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) #s(literal -2 binary64))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)))
#s(approx (* (* -4/3 x) x) (*.f64 (*.f64 x x) #s(literal -4/3 binary64)))
#s(approx (* -4/3 x) (*.f64 #s(literal -4/3 binary64) x))
#s(approx (+ (pow (- (pow (exp x) -2) -1) -1) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1)) x)
#s(approx (+ (pow (- (pow (exp x) -2) -1) -1) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (pow (- (pow (exp x) -2) -1) -1) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1)) (*.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))
#s(approx (+ (pow (- (pow (exp x) -2) -1) -1) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (pow (- (pow (exp x) -2) -1) -1) #s(literal 1/2 binary64))
#s(approx (pow (- (pow (exp x) -2) -1) -1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)))
#s(approx (pow (- (pow (exp x) -2) -1) -1) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)))
#s(approx (pow (- (pow (exp x) -2) -1) -1) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/15 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)))
#s(approx (- (pow (exp x) -2) -1) #s(literal 2 binary64))
#s(approx (- (pow (exp x) -2) -1) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
#s(approx (- (pow (exp x) -2) -1) (fma.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x #s(literal 2 binary64)))
#s(approx (- (pow (exp x) -2) -1) (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(approx (pow (exp x) -2) #s(literal 1 binary64))
#s(approx (pow (exp x) -2) (fma.f64 x #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (pow (exp x) -2) (fma.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (pow (exp 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)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) #s(literal -1/2 binary64))
#s(approx (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
#s(approx (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64)))
#s(approx (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/15 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64)))
#s(approx (* (log (+ 1 (pow (exp x) -2))) -1) (log.f64 #s(literal 1/2 binary64)))
#s(approx (* (log (+ 1 (pow (exp x) -2))) -1) (-.f64 x (log.f64 #s(literal 2 binary64))))
#s(approx (* (log (+ 1 (pow (exp x) -2))) -1) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x (log.f64 #s(literal 1/2 binary64))))
#s(approx (* (log (+ 1 (pow (exp x) -2))) -1) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 #s(literal 1/2 binary64))))
#s(approx (log (+ 1 (pow (exp x) -2))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (pow (exp x) -2))) (fma.f64 #s(literal -1 binary64) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (pow (exp x) -2))) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (pow (exp x) -2))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (/ 2 (+ 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)))
#s(approx (+ (* (* (* x x) x) -1/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)))
#s(approx (+ (* (* (* x x) x) -1/3) x) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64)))
#s(approx (+ (* x -2) 2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x))
#s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) (*.f64 x x)))
#s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x)) (*.f64 x x)))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4/3 binary64)))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 4/3 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 x x) #s(literal -4/3 binary64)))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)) (*.f64 x x)))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)))
#s(approx (+ (pow (- (pow (exp x) -2) -1) -1) (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 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)))
#s(approx (pow (- (pow (exp x) -2) -1) -1) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
#s(approx (- (pow (exp x) -2) -1) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (pow (exp x) -2) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp (* (log (+ 1 (pow (exp x) -2))) -1)) 1) (expm1.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
#s(approx (* (log (+ 1 (pow (exp x) -2))) -1) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
#s(approx (log (+ 1 (pow (exp x) -2))) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
#s(approx (+ (* (* (* x x) x) -1/3) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (+ (* x -2) 2) (*.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))
#s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1 binary64) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 2 binary64) x))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1 binary64) #s(literal 4/3 binary64))))
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1 binary64) #s(literal 2 binary64)) x) #s(literal -1 binary64) #s(literal 4/3 binary64))))
#s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) #s(literal 4/3 binary64)) (*.f64 x x)))

eval55.0ms (1.1%)

Memory
37.8MiB live, 127.7MiB allocated; 11ms collecting garbage
Compiler

Compiled 11 330 to 1 480 computations (86.9% saved)

prune13.0ms (0.3%)

Memory
-12.6MiB live, 33.9MiB allocated; 2ms collecting garbage
Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New3722374
Fresh000
Picked235
Done044
Total3749383
Accuracy
100.0%
Counts
383 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.4%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
27.1%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
26.4%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 #s(literal -4/3 binary64) x) x)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
26.6%
(-.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))
24.4%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64))
23.7%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
48.4%
(+.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64))))
55.8%
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
58.0%
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) x)
Compiler

Compiled 166 to 131 computations (21.1% saved)

series84.0ms (1.7%)

Memory
-1.5MiB live, 98.3MiB allocated; 24ms collecting garbage
Counts
21 → 71
Calls
Call 1
Inputs
(+.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64))))
(pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(exp.f64 x)
x
#s(literal -2 binary64)
#s(literal -1 binary64)
(expm1.f64 (*.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64)))
(*.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64))
(log1p.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (+.f64 x x) x))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (+.f64 x x) x)))
#s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (+.f64 x x) x))
(*.f64 (+.f64 x x) x)
(+.f64 x x)
#s(literal 1 binary64)
Outputs
#s(approx (+ (pow (- (pow (exp x) -2) -1) -1) (- (exp (* (log (+ 1 (exp (* x -2)))) -1)) 1)) #s(hole binary64 x))
#s(approx (+ (pow (- (pow (exp x) -2) -1) -1) (- (exp (* (log (+ 1 (exp (* x -2)))) -1)) 1)) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (+ (pow (- (pow (exp x) -2) -1) -1) (- (exp (* (log (+ 1 (exp (* x -2)))) -1)) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (+ (pow (- (pow (exp x) -2) -1) -1) (- (exp (* (log (+ 1 (exp (* x -2)))) -1)) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (pow (- (pow (exp x) -2) -1) -1) #s(hole binary64 1/2))
#s(approx (pow (- (pow (exp x) -2) -1) -1) #s(hole binary64 (+ 1/2 (* 1/2 x))))
#s(approx (pow (- (pow (exp x) -2) -1) -1) #s(hole binary64 (+ 1/2 (* x (+ 1/2 (* -1/6 (pow x 2)))))))
#s(approx (pow (- (pow (exp x) -2) -1) -1) #s(hole binary64 (+ 1/2 (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6)))))))
#s(approx (- (pow (exp x) -2) -1) #s(hole binary64 2))
#s(approx (- (pow (exp x) -2) -1) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (- (pow (exp x) -2) -1) #s(hole binary64 (+ 2 (* x (- (* 2 x) 2)))))
#s(approx (- (pow (exp x) -2) -1) #s(hole binary64 (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (pow (exp x) -2) #s(hole binary64 1))
#s(approx (pow (exp x) -2) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (pow (exp x) -2) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (pow (exp x) -2) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp (* (log (+ 1 (exp (* x -2)))) -1)) 1) #s(hole binary64 -1/2))
#s(approx (- (exp (* (log (+ 1 (exp (* x -2)))) -1)) 1) #s(hole binary64 (- (* 1/2 x) 1/2)))
#s(approx (- (exp (* (log (+ 1 (exp (* x -2)))) -1)) 1) #s(hole binary64 (- (* x (+ 1/2 (* -1/6 (pow x 2)))) 1/2)))
#s(approx (- (exp (* (log (+ 1 (exp (* x -2)))) -1)) 1) #s(hole binary64 (- (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6)))) 1/2)))
#s(approx (* (log (+ 1 (exp (* x -2)))) -1) #s(hole binary64 (* -1 (log 2))))
#s(approx (* (log (+ 1 (exp (* x -2)))) -1) #s(hole binary64 (+ x (* -1 (log 2)))))
#s(approx (* (log (+ 1 (exp (* x -2)))) -1) #s(hole binary64 (+ (* -1 (log 2)) (* x (+ 1 (* -1/2 x))))))
#s(approx (* (log (+ 1 (exp (* x -2)))) -1) #s(hole binary64 (+ (* -1 (log 2)) (* x (+ 1 (* x (- (* 1/12 (pow x 2)) 1/2)))))))
#s(approx (log (+ 1 (exp (* x -2)))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp (* x -2)))) #s(hole binary64 (+ (log 2) (* -1 x))))
#s(approx (log (+ 1 (exp (* x -2)))) #s(hole binary64 (+ (log 2) (* x (- (* 1/2 x) 1)))))
#s(approx (log (+ 1 (exp (* x -2)))) #s(hole binary64 (+ (log 2) (* x (- (* x (+ 1/2 (* -1/12 (pow x 2)))) 1)))))
#s(approx (exp (* x -2)) #s(hole binary64 1))
#s(approx (exp (* x -2)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (exp (* x -2)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (exp (* x -2)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (* x -2) #s(hole binary64 (* -2 x)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (+ 1 x)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 2))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* x (- (* 2 x) 2)))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (+ 2 (* x (- (* 2 x) 2)))))
#s(approx (* (+ x x) x) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (+ (pow (- (pow (exp x) -2) -1) -1) (- (exp (* (log (+ 1 (exp (* x -2)))) -1)) 1)) #s(hole binary64 (- (+ (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1)))
#s(approx (pow (- (pow (exp x) -2) -1) -1) #s(hole binary64 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))))
#s(approx (- (pow (exp x) -2) -1) #s(hole binary64 (+ 1 (/ 1 (pow (exp x) 2)))))
#s(approx (pow (exp x) -2) #s(hole binary64 (/ 1 (pow (exp x) 2))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp (* (log (+ 1 (exp (* x -2)))) -1)) 1) #s(hole binary64 (- (/ 1 (+ 1 (exp (* -2 x)))) 1)))
#s(approx (* (log (+ 1 (exp (* x -2)))) -1) #s(hole binary64 (* -1 (log (+ 1 (exp (* -2 x)))))))
#s(approx (log (+ 1 (exp (* x -2)))) #s(hole binary64 (log (+ 1 (exp (* -2 x))))))
#s(approx (exp (* x -2)) #s(hole binary64 (exp (* -2 x))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (/ 2 (+ 1 (exp (* -2 x))))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 1 (exp (* -2 x)))))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (* (pow x 2) (- 2 (* 2 (/ 1 x))))))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))))
Calls

3 calls:

TimeVariablePointExpression
45.0ms
x
@inf
((+ (pow (- (pow (exp x) -2) -1) -1) (- (exp (* (log (+ 1 (exp (* x -2)))) -1)) 1)) (pow (- (pow (exp x) -2) -1) -1) (- (pow (exp x) -2) -1) (pow (exp x) -2) (exp x) x -2 -1 (- (exp (* (log (+ 1 (exp (* x -2)))) -1)) 1) (* (log (+ 1 (exp (* x -2)))) -1) (log (+ 1 (exp (* x -2)))) (exp (* x -2)) (* x -2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) 2 (+ 1 (exp (* -2 x))) (+ (* (+ (* x 2) -2) x) 2) (* (+ x x) x) (+ x x) 1)
36.0ms
x
@-inf
((+ (pow (- (pow (exp x) -2) -1) -1) (- (exp (* (log (+ 1 (exp (* x -2)))) -1)) 1)) (pow (- (pow (exp x) -2) -1) -1) (- (pow (exp x) -2) -1) (pow (exp x) -2) (exp x) x -2 -1 (- (exp (* (log (+ 1 (exp (* x -2)))) -1)) 1) (* (log (+ 1 (exp (* x -2)))) -1) (log (+ 1 (exp (* x -2)))) (exp (* x -2)) (* x -2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) 2 (+ 1 (exp (* -2 x))) (+ (* (+ (* x 2) -2) x) 2) (* (+ x x) x) (+ x x) 1)
1.0ms
x
@0
((+ (pow (- (pow (exp x) -2) -1) -1) (- (exp (* (log (+ 1 (exp (* x -2)))) -1)) 1)) (pow (- (pow (exp x) -2) -1) -1) (- (pow (exp x) -2) -1) (pow (exp x) -2) (exp x) x -2 -1 (- (exp (* (log (+ 1 (exp (* x -2)))) -1)) 1) (* (log (+ 1 (exp (* x -2)))) -1) (log (+ 1 (exp (* x -2)))) (exp (* x -2)) (* x -2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) 2 (+ 1 (exp (* -2 x))) (+ (* (+ (* x 2) -2) x) 2) (* (+ x x) x) (+ x x) 1)

rewrite171.0ms (3.4%)

Memory
-9.1MiB live, 204.8MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02331319
02551287
112541214
083411132
Stop Event
iter limit
node limit
iter limit
Counts
92 → 277
Calls
Call 1
Inputs
(+.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64))))
(pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(exp.f64 x)
x
#s(literal -2 binary64)
#s(literal -1 binary64)
(expm1.f64 (*.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64)))
(*.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64))
(log1p.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (+.f64 x x) x))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (+.f64 x x) x)))
#s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (+.f64 x x) x))
(*.f64 (+.f64 x x) x)
(+.f64 x x)
#s(literal 1 binary64)
#s(approx (+ (pow (- (pow (exp x) -2) -1) -1) (- (exp (* (log (+ 1 (exp (* x -2)))) -1)) 1)) #s(hole binary64 x))
#s(approx (+ (pow (- (pow (exp x) -2) -1) -1) (- (exp (* (log (+ 1 (exp (* x -2)))) -1)) 1)) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (+ (pow (- (pow (exp x) -2) -1) -1) (- (exp (* (log (+ 1 (exp (* x -2)))) -1)) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (+ (pow (- (pow (exp x) -2) -1) -1) (- (exp (* (log (+ 1 (exp (* x -2)))) -1)) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (pow (- (pow (exp x) -2) -1) -1) #s(hole binary64 1/2))
#s(approx (pow (- (pow (exp x) -2) -1) -1) #s(hole binary64 (+ 1/2 (* 1/2 x))))
#s(approx (pow (- (pow (exp x) -2) -1) -1) #s(hole binary64 (+ 1/2 (* x (+ 1/2 (* -1/6 (pow x 2)))))))
#s(approx (pow (- (pow (exp x) -2) -1) -1) #s(hole binary64 (+ 1/2 (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6)))))))
#s(approx (- (pow (exp x) -2) -1) #s(hole binary64 2))
#s(approx (- (pow (exp x) -2) -1) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (- (pow (exp x) -2) -1) #s(hole binary64 (+ 2 (* x (- (* 2 x) 2)))))
#s(approx (- (pow (exp x) -2) -1) #s(hole binary64 (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (pow (exp x) -2) #s(hole binary64 1))
#s(approx (pow (exp x) -2) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (pow (exp x) -2) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (pow (exp x) -2) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp (* (log (+ 1 (exp (* x -2)))) -1)) 1) #s(hole binary64 -1/2))
#s(approx (- (exp (* (log (+ 1 (exp (* x -2)))) -1)) 1) #s(hole binary64 (- (* 1/2 x) 1/2)))
#s(approx (- (exp (* (log (+ 1 (exp (* x -2)))) -1)) 1) #s(hole binary64 (- (* x (+ 1/2 (* -1/6 (pow x 2)))) 1/2)))
#s(approx (- (exp (* (log (+ 1 (exp (* x -2)))) -1)) 1) #s(hole binary64 (- (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6)))) 1/2)))
#s(approx (* (log (+ 1 (exp (* x -2)))) -1) #s(hole binary64 (* -1 (log 2))))
#s(approx (* (log (+ 1 (exp (* x -2)))) -1) #s(hole binary64 (+ x (* -1 (log 2)))))
#s(approx (* (log (+ 1 (exp (* x -2)))) -1) #s(hole binary64 (+ (* -1 (log 2)) (* x (+ 1 (* -1/2 x))))))
#s(approx (* (log (+ 1 (exp (* x -2)))) -1) #s(hole binary64 (+ (* -1 (log 2)) (* x (+ 1 (* x (- (* 1/12 (pow x 2)) 1/2)))))))
#s(approx (log (+ 1 (exp (* x -2)))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp (* x -2)))) #s(hole binary64 (+ (log 2) (* -1 x))))
#s(approx (log (+ 1 (exp (* x -2)))) #s(hole binary64 (+ (log 2) (* x (- (* 1/2 x) 1)))))
#s(approx (log (+ 1 (exp (* x -2)))) #s(hole binary64 (+ (log 2) (* x (- (* x (+ 1/2 (* -1/12 (pow x 2)))) 1)))))
#s(approx (exp (* x -2)) #s(hole binary64 1))
#s(approx (exp (* x -2)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (exp (* x -2)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (exp (* x -2)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (* x -2) #s(hole binary64 (* -2 x)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (+ 1 x)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 2))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* x (- (* 2 x) 2)))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (+ 2 (* x (- (* 2 x) 2)))))
#s(approx (* (+ x x) x) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (+ (pow (- (pow (exp x) -2) -1) -1) (- (exp (* (log (+ 1 (exp (* x -2)))) -1)) 1)) #s(hole binary64 (- (+ (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1)))
#s(approx (pow (- (pow (exp x) -2) -1) -1) #s(hole binary64 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))))
#s(approx (- (pow (exp x) -2) -1) #s(hole binary64 (+ 1 (/ 1 (pow (exp x) 2)))))
#s(approx (pow (exp x) -2) #s(hole binary64 (/ 1 (pow (exp x) 2))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp (* (log (+ 1 (exp (* x -2)))) -1)) 1) #s(hole binary64 (- (/ 1 (+ 1 (exp (* -2 x)))) 1)))
#s(approx (* (log (+ 1 (exp (* x -2)))) -1) #s(hole binary64 (* -1 (log (+ 1 (exp (* -2 x)))))))
#s(approx (log (+ 1 (exp (* x -2)))) #s(hole binary64 (log (+ 1 (exp (* -2 x))))))
#s(approx (exp (* x -2)) #s(hole binary64 (exp (* -2 x))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(hole binary64 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(hole binary64 (/ 2 (+ 1 (exp (* -2 x))))))
#s(approx (+ 1 (exp (* -2 x))) #s(hole binary64 (+ 1 (exp (* -2 x)))))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (* (pow x 2) (- 2 (* 2 (/ 1 x))))))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))))
#s(approx (+ (* (+ (* x 2) -2) x) 2) #s(hole binary64 (* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))))
Outputs
(/.f64 (-.f64 (pow.f64 (expm1.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64))) (-.f64 (expm1.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (expm1.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (expm1.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (expm1.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))))))
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#s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) (*.f64 x x)))
#s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) x)) (*.f64 x x)))
#s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x x)))

eval50.0ms (1%)

Memory
15.6MiB live, 60.1MiB allocated; 5ms collecting garbage
Compiler

Compiled 7 161 to 1 055 computations (85.3% saved)

prune9.0ms (0.2%)

Memory
24.0MiB live, 24.0MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New2491250
Fresh000
Picked112
Done077
Total2509259
Accuracy
100.0%
Counts
259 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.4%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
27.1%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
26.4%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 #s(literal -4/3 binary64) x) x)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
26.6%
(-.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))
24.4%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64))
23.7%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
48.4%
(+.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64))))
55.8%
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
58.0%
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) x)
Compiler

Compiled 430 to 226 computations (47.4% saved)

regimes47.0ms (0.9%)

Memory
-14.9MiB live, 38.0MiB allocated; 20ms collecting garbage
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) x)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 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 x #s(literal -2 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #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 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 #s(literal -4/3 binary64) x) x)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (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)))) #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))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(+.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64))))
(+.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64))))
(+.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))))
Outputs
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 #s(literal -4/3 binary64) x) x)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
(+.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64))))
Calls

6 calls:

28.0ms
(-.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
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 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
Results
AccuracySegmentsBranch
100.0%3(*.f64 #s(literal -2 binary64) x)
100.0%3(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(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
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%3x
Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes27.0ms (0.5%)

Memory
-12.4MiB live, 33.1MiB allocated; 3ms collecting garbage
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) x)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 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 x #s(literal -2 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #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 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 #s(literal -4/3 binary64) x) x)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (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)))) #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))
(-.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) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 #s(literal -4/3 binary64) x) x)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x 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))
Calls

6 calls:

11.0ms
(exp.f64 (*.f64 #s(literal -2 binary64) x))
3.0ms
(*.f64 #s(literal -2 binary64) x)
3.0ms
x
3.0ms
(/.f64 #s(literal 2 binary64) (+.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))
Results
AccuracySegmentsBranch
100.0%3(*.f64 #s(literal -2 binary64) x)
100.0%3(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(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
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%3x
Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes17.0ms (0.3%)

Memory
31.3MiB live, 31.3MiB allocated; 0ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) x)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 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 x #s(literal -2 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #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 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 #s(literal -4/3 binary64) x) x)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (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)))) #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))
Outputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) x)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 #s(literal -4/3 binary64) x) x)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
Calls

6 calls:

3.0ms
x
3.0ms
(*.f64 #s(literal -2 binary64) 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
79.7%2(*.f64 #s(literal -2 binary64) x)
79.7%2(exp.f64 (*.f64 #s(literal -2 binary64) x))
79.7%2(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
79.7%2(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
79.7%2(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
79.7%2x
Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes51.0ms (1%)

Memory
-23.6MiB live, 23.6MiB allocated; 1ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) x)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 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 x #s(literal -2 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
Outputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) x)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
Calls

6 calls:

40.0ms
(*.f64 #s(literal -2 binary64) x)
2.0ms
x
2.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
2.0ms
(exp.f64 (*.f64 #s(literal -2 binary64) 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))
Results
AccuracySegmentsBranch
79.6%2(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
79.6%2(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
79.6%2(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
79.6%2x
79.6%2(*.f64 #s(literal -2 binary64) x)
79.6%2(exp.f64 (*.f64 #s(literal -2 binary64) x))
Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes12.0ms (0.2%)

Memory
20.3MiB live, 20.3MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) x)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 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 x #s(literal -2 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
Outputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) x)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (+.f64 x x) x)))) #s(literal 1 binary64))
Calls

6 calls:

2.0ms
(*.f64 #s(literal -2 binary64) x)
2.0ms
x
2.0ms
(exp.f64 (*.f64 #s(literal -2 binary64) 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))))
Results
AccuracySegmentsBranch
79.6%2(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
79.6%2(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
79.6%2(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
79.6%2x
79.6%2(*.f64 #s(literal -2 binary64) x)
79.6%2(exp.f64 (*.f64 #s(literal -2 binary64) x))
Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes35.0ms (0.7%)

Memory
-28.2MiB live, 19.6MiB allocated; 1ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) x)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 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 x #s(literal -2 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
Outputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) x)
(-.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))
Calls

6 calls:

2.0ms
x
2.0ms
(*.f64 #s(literal -2 binary64) x)
2.0ms
(+.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))
1.0ms
(exp.f64 (*.f64 #s(literal -2 binary64) x))
Results
AccuracySegmentsBranch
79.2%2(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
79.2%2(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
79.2%2(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
79.2%2x
79.2%2(*.f64 #s(literal -2 binary64) x)
79.2%2(exp.f64 (*.f64 #s(literal -2 binary64) x))
Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes8.0ms (0.2%)

Memory
20.1MiB live, 20.1MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) x)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
Outputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) x)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
Calls

6 calls:

2.0ms
(*.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 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
1.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
Results
AccuracySegmentsBranch
79.2%2(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
79.2%2(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
79.2%2x
79.2%2(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
79.2%2(*.f64 #s(literal -2 binary64) x)
79.2%2(exp.f64 (*.f64 #s(literal -2 binary64) x))
Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes26.0ms (0.5%)

Memory
-23.3MiB live, 25.4MiB allocated; 5ms collecting garbage
Accuracy

Total -1.4b remaining (-5.2%)

Threshold costs -1.4b (-5.2%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) x)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))
Outputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) x)
Calls

6 calls:

19.0ms
(-.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) x)
1.0ms
x
1.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
1.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
Results
AccuracySegmentsBranch
58.0%1(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
58.0%1(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
58.0%1x
58.0%1(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
58.0%1(*.f64 #s(literal -2 binary64) x)
58.0%1(exp.f64 (*.f64 #s(literal -2 binary64) x))
Compiler

Compiled 32 to 31 computations (3.1% saved)

bsearch38.0ms (0.8%)

Memory
26.8MiB live, 72.8MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
5.58193191341406e-13
10.14553036294756
16.0ms
-365100.9545864852
-1.4200024712214726e-8
Samples
21.0ms320×0valid
Compiler

Compiled 853 to 683 computations (19.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 5.0ms (35.2% of total)
ival-exp: 3.0ms (21.1% of total)
ival-div: 2.0ms (14.1% of total)
ival-add: 2.0ms (14.1% of total)
ival-sub: 2.0ms (14.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch4.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
2.0ms
5.58193191341406e-13
10.14553036294756
1.0ms
-365100.9545864852
-1.4200024712214726e-8
Samples
1.0ms16×0valid
Compiler

Compiled 783 to 643 computations (17.9% saved)

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

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000284000499
+inf
Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000284000499
+inf
Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000284000499
+inf
Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000284000499
+inf
Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000284000499
+inf
Compiler

Compiled 13 to 13 computations (0% saved)

simplify59.0ms (1.2%)

Memory
-3.1MiB live, 86.2MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
082354
1111354
2194354
3513354
42387353
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 #s(literal -4/3 binary64) x) x)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3504881374004815/4611686018427387904 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)) (+.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64))))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 #s(literal -4/3 binary64) x) x)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 7378697629483821/9223372036854775808 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x 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))))
(if (<=.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) x) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 #s(literal -4/3 binary64) x) x)) x #s(literal 2 binary64)))) #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) x) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #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) x) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (+.f64 x x) 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) x) (-.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)))
(if (<=.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) x) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) x)
Outputs
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 #s(literal -4/3 binary64) x) x)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3504881374004815/4611686018427387904 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)) (+.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64))))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 #s(literal -4/3 binary64) x) x)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3504881374004815/4611686018427387904 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)) (+.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal -2 binary64)))))))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 #s(literal -4/3 binary64) x) x)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 7378697629483821/9223372036854775808 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (*.f64 x 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))))
(if (<=.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) x) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 #s(literal -4/3 binary64) x) x)) x #s(literal 2 binary64)))) #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) x) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64)))) #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) x) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* x 2) -2) x) 2) (*.f64 (+.f64 x x) 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) x) (-.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)))
(if (<=.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) x) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) x)

derivations285.0ms (5.7%)

Memory
-36.3MiB live, 210.6MiB allocated; 76ms collecting garbage
Stop Event
fuel
Compiler

Compiled 353 to 86 computations (75.6% saved)

preprocess57.0ms (1.1%)

Memory
40.3MiB live, 81.6MiB allocated; 10ms collecting garbage
Compiler

Compiled 726 to 190 computations (73.8% saved)

end0.0ms (0%)

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

Profiling

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