Logistic function from Lakshay Garg

Time bar (total: 7.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 12 to 12 computations (0% saved)

sample1.5s (19.7%)

Memory
42.0MiB live, 1 928.8MiB allocated
Samples
495.0ms1 537×2valid
381.0ms2 428×1valid
298.0ms4 291×0valid
Precisions
Click to see histograms. Total time spent on operations: 926.0ms
ival-exp: 395.0ms (42.7% of total)
adjust: 142.0ms (15.3% of total)
ival-div: 107.0ms (11.6% of total)
ival-mult: 94.0ms (10.2% of total)
ival-add: 90.0ms (9.7% of total)
ival-sub: 76.0ms (8.2% of total)
exact: 11.0ms (1.2% of total)
ival-true: 7.0ms (0.8% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain151.0ms (2%)

Memory
12.9MiB live, 168.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1300-0-(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
00-0-(exp.f64 (*.f64 #s(literal -2 binary64) x))
00-0-#s(literal 1 binary64)
00-0-(*.f64 #s(literal -2 binary64) x)
00-0-(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
00-0-#s(literal -2 binary64)
00-0-#s(literal 2 binary64)
00-0-(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))cancellation1300
Confusion
Predicted +Predicted -
+1300
-0126
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13000
-01125
Precision?
0.9923664122137404
Recall?
1.0
Freqs
test
numberfreq
0126
1130
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
29.0ms158×1valid
25.0ms88×2valid
17.0ms266×0valid
Compiler

Compiled 119 to 44 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-exp: 20.0ms (44.1% of total)
adjust: 6.0ms (13.2% of total)
ival-div: 6.0ms (13.2% of total)
ival-add: 4.0ms (8.8% of total)
ival-mult: 4.0ms (8.8% of total)
ival-sub: 4.0ms (8.8% of total)
ival-true: 1.0ms (2.2% of total)
exact: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)

preprocess29.0ms (0.4%)

Memory
-20.9MiB live, 16.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02354
14752
28950
313450
416850
521950
627150
731350
836550
943250
1046950
1148650
1250150
1351450
1452250
1552650
0910
01410
12310
22610
02610
Stop Event
iter limit
saturated
iter limit
saturated
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))
Symmetry

(abs y)

Compiler

Compiled 10 to 10 computations (0% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.0%
(-.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 10 computations (0% saved)

simplify3.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0935
01435
12335
22635
02635
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
#s(literal 1 binary64)
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
Outputs
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
x

localize44.0ms (0.6%)

Memory
11.1MiB live, 48.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 (*.f64 #s(literal -2 binary64) x))
accuracy0.015625
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
accuracy0.02734375
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
accuracy29.39620746352584
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Samples
13.0ms44×2valid
12.0ms79×1valid
11.0ms133×0valid
Compiler

Compiled 72 to 22 computations (69.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-exp: 10.0ms (39.9% of total)
ival-mult: 4.0ms (16% of total)
adjust: 3.0ms (12% of total)
ival-div: 3.0ms (12% of total)
ival-add: 2.0ms (8% of total)
ival-sub: 2.0ms (8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
5.8MiB live, 5.8MiB allocated
Counts
5 → 20
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(*.f64 #s(literal -2 binary64) x)
(exp.f64 (*.f64 #s(literal -2 binary64) x))
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(* -2 x)
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(exp (* -2 x))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (* -2 x) (exp (* -2 x)))
2.0ms
x
@inf
((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (* -2 x) (exp (* -2 x)))
1.0ms
x
@0
((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (* -2 x) (exp (* -2 x)))
0.0ms
y
@0
((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (* -2 x) (exp (* -2 x)))
0.0ms
y
@-inf
((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (* -2 x) (exp (* -2 x)))

simplify248.0ms (3.3%)

Memory
6.3MiB live, 116.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049164
1119164
2234154
3604154
41200154
51777154
62034154
72609154
83678154
95741154
106674154
117080154
127222154
137282154
147322154
08037133
Stop Event
iter limit
node limit
Counts
20 → 19
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(* -2 x)
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(exp (* -2 x))
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -17/315 binary64) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ 1 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(+ 1 (exp (* -2 x)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(exp (* -2 x))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))

rewrite156.0ms (2.1%)

Memory
10.8MiB live, 133.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
01431
15331
237131
3596931
0813631
Stop Event
iter limit
node limit
iter limit
Counts
5 → 305
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(*.f64 #s(literal -2 binary64) x)
(exp.f64 (*.f64 #s(literal -2 binary64) x))
Outputs
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 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)) #s(literal 4 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 (/.f64 (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (+.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 (/.f64 #s(literal -4 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64)) (pow.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)) #s(literal 2 binary64)))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -6 binary64)) (pow.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)) #s(literal 3 binary64)))) (fma.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 (-.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 -2 binary64)) #s(literal 4 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 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 -2 binary64)) #s(literal 4 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 (/.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 (/.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 (pow.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)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 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))) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (pow.f64 (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))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal -1 binary64))) (pow.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 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)))) #s(literal -1 binary64)))
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(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -18 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) (expm1.f64 (*.f64 x #s(literal -6 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (pow.f64 (exp.f64 x) #s(literal -4 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -8 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (*.f64 #s(literal -4 binary64) x)) (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))
(/.f64 (expm1.f64 (*.f64 #s(literal -4 binary64) x)) (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -12 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -8 binary64))) (pow.f64 (exp.f64 x) #s(literal -4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -12 binary64))) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -6 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -18 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) (expm1.f64 (*.f64 x #s(literal -6 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (/.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 -6 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 1 binary64)) (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal -1 binary64) (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 #s(literal 1 binary64) (/.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) (expm1.f64 (*.f64 #s(literal -4 binary64) x))))
(/.f64 #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 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -6 binary64))) #s(literal -1 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (neg.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))))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.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))))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1/2 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 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.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))))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) (pow.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (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 -4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 1 binary64))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.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))))))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (log.f64 (exp.f64 x)))
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64) (log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)))
(fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (log.f64 (exp.f64 x)) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal 0 binary64))
(+.f64 (log.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64))) (log.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) (log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64)))
(+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))
(log.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) x)
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal -4 binary64) (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 #s(literal -2 binary64) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -2 binary64)))
(exp.f64 (*.f64 x #s(literal -2 binary64)))

eval48.0ms (0.6%)

Memory
-23.5MiB live, 51.0MiB allocated
Compiler

Compiled 7 921 to 1 122 computations (85.8% saved)

prune11.0ms (0.1%)

Memory
25.2MiB live, 25.2MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New3159324
Fresh000
Picked011
Done000
Total31510325
Accuracy
100.0%
Counts
325 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.0%
(/.f64 #s(literal 1 binary64) (pow.f64 (-.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)))
54.0%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
29.0%
(-.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))
28.9%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
28.4%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
5.4%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
7.4%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
4.2%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
51.7%
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)))
51.2%
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
Compiler

Compiled 314 to 278 computations (11.5% saved)

simplify26.0ms (0.3%)

Memory
-19.5MiB live, 18.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
cost-diff0
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
cost-diff0
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
cost-diff0
(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))
cost-diff0
#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)))
cost-diff0
(/.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))))
cost-diff0
(-.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))
cost-diff0
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
cost-diff0
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
cost-diff0
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
cost-diff0
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))
cost-diff0
(pow.f64 (-.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))
cost-diff7168
(/.f64 #s(literal 1 binary64) (pow.f64 (-.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)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036267
060263
190263
2136263
3228263
4354263
5428263
6474263
7590263
8626263
9633263
10642263
11677263
12677263
0677263
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (pow.f64 (-.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)))
#s(literal 1 binary64)
(pow.f64 (-.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))
(-.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)
(/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(literal -2 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
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
#s(literal -2 binary64)
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (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(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)
x
#s(literal -2 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/3 binary64)
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (pow.f64 (-.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)))
(-.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)
(pow.f64 (-.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))
(pow.f64 (-.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))
(-.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 -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)
(/.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 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))
#s(literal -2 binary64)
(+.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))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(exp.f64 x)
x
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
#s(literal -2 binary64)
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (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(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)
x
#s(literal -2 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 x #s(literal 1 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/3 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)

localize181.0ms (2.4%)

Memory
19.1MiB live, 220.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 #s(literal 1 binary64) x)
accuracy0.015625
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
accuracy16.03014282510316
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
accuracy29.39620746352584
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
accuracy0.0390625
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
accuracy0.08984375
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
accuracy16.085714953669477
#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)))
accuracy29.39620746352584
(-.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))
accuracy0
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
accuracy0.02734375
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
accuracy16.41359313989049
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
accuracy29.39620746352584
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy14.163307474763304
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
accuracy29.39620746352584
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy0.021816259768442016
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
accuracy0.02734375
(/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
accuracy0.10546875
(/.f64 #s(literal 1 binary64) (pow.f64 (-.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)))
accuracy29.39620746352584
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))
Samples
59.0ms79×1valid
43.0ms44×2valid
33.0ms61×1exit
21.0ms72×0valid
Compiler

Compiled 474 to 74 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 129.0ms
ival-add: 24.0ms (18.5% of total)
ival-pow: 22.0ms (17% of total)
ival-exp: 21.0ms (16.2% of total)
const: 19.0ms (14.7% of total)
adjust: 17.0ms (13.1% of total)
ival-mult: 11.0ms (8.5% of total)
ival-div: 8.0ms (6.2% of total)
ival-sub: 6.0ms (4.6% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
-15.4MiB live, 22.0MiB allocated
Counts
22 → 58
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (pow.f64 (-.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)))
(pow.f64 (-.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))
(-.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 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (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))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(fma.f64 #s(literal -4/3 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))
(+.f64 #s(literal 1 binary64) x)
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ 1 x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))) x)
-1
(- (* -1 x) 1)
(- (* x (- (* 1/3 (pow x 2)) 1)) 1)
(- (* x (- (* (pow x 2) (+ 1/3 (* -2/15 (pow x 2)))) 1)) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(pow x 3)
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 2 (* -4/3 x))
-2
(- (* 2 x) 2)
(- (* x (+ 2 (* -4/3 x))) 2)
(- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1)
(/ 1 (- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1))
(/ -2 (+ 1 (/ 1 (pow (exp x) 2))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(* -4/3 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))
(/ 1 (pow (exp x) 2))
(* -4/3 x)
(* x (- (* 2 (/ 1 x)) 4/3))
(* -4/3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* x (+ 1 (/ 1 x)))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))
Calls

6 calls:

TimeVariablePointExpression
9.0ms
x
@inf
((/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (- -1 (/ -2 (+ (pow (exp x) -2) 1))) (/ -2 (+ (pow (exp x) -2) 1)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (pow x 3) -1/3) (+ 1 x)) (pow x 3) (pow (exp x) -2) (+ (* -4/3 x) 2) (+ (* (+ (* -4/3 x) 2) x) -2) (+ 1 x))
5.0ms
x
@-inf
((/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (- -1 (/ -2 (+ (pow (exp x) -2) 1))) (/ -2 (+ (pow (exp x) -2) 1)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (pow x 3) -1/3) (+ 1 x)) (pow x 3) (pow (exp x) -2) (+ (* -4/3 x) 2) (+ (* (+ (* -4/3 x) 2) x) -2) (+ 1 x))
2.0ms
x
@0
((/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (- -1 (/ -2 (+ (pow (exp x) -2) 1))) (/ -2 (+ (pow (exp x) -2) 1)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (pow x 3) -1/3) (+ 1 x)) (pow x 3) (pow (exp x) -2) (+ (* -4/3 x) 2) (+ (* (+ (* -4/3 x) 2) x) -2) (+ 1 x))
0.0ms
y
@0
((/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (- -1 (/ -2 (+ (pow (exp x) -2) 1))) (/ -2 (+ (pow (exp x) -2) 1)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (pow x 3) -1/3) (+ 1 x)) (pow x 3) (pow (exp x) -2) (+ (* -4/3 x) 2) (+ (* (+ (* -4/3 x) 2) x) -2) (+ 1 x))
0.0ms
y
@inf
((/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (- -1 (/ -2 (+ (pow (exp x) -2) 1))) (/ -2 (+ (pow (exp x) -2) 1)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (pow x 3) -1/3) (+ 1 x)) (pow x 3) (pow (exp x) -2) (+ (* -4/3 x) 2) (+ (* (+ (* -4/3 x) 2) x) -2) (+ 1 x))

simplify126.0ms (1.7%)

Memory
10.0MiB live, 167.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0152490
1390467
21132451
33933447
08594388
Stop Event
iter limit
node limit
Counts
58 → 57
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ 1 x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))) x)
-1
(- (* -1 x) 1)
(- (* x (- (* 1/3 (pow x 2)) 1)) 1)
(- (* x (- (* (pow x 2) (+ 1/3 (* -2/15 (pow x 2)))) 1)) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(pow x 3)
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 2 (* -4/3 x))
-2
(- (* 2 x) 2)
(- (* x (+ 2 (* -4/3 x))) 2)
(- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1)
(/ 1 (- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1))
(/ -2 (+ 1 (/ 1 (pow (exp x) 2))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(* -4/3 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))
(/ 1 (pow (exp x) 2))
(* -4/3 x)
(* x (- (* 2 (/ 1 x)) 4/3))
(* -4/3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* x (+ 1 (/ 1 x)))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal -1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* 1/3 (pow x 2)) 1)) 1)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal -1 binary64) x))
(- (* x (- (* (pow x 2) (+ 1/3 (* -2/15 (pow x 2)))) 1)) 1)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (-.f64 #s(literal -1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (-.f64 x #s(literal -1 binary64)))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (-.f64 x #s(literal -1 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(+ 1 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 1 binary64))
(+ 2 (* -4/3 x))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
-2
#s(literal -2 binary64)
(- (* 2 x) 2)
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
(- (* x (+ 2 (* -4/3 x))) 2)
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
(- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(/ 1 (- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/ -2 (+ 1 (/ 1 (pow (exp x) 2))))
(/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64)))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64)))
(+ 1 (exp (* -2 x)))
(+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* 2 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(* -4/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4/3 binary64))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow 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))
(* -1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (-.f64 x #s(literal -1 binary64)))
(/ 1 (pow (exp x) 2))
(pow.f64 (exp.f64 #s(literal -2 binary64)) x)
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* x (- (* 2 (/ 1 x)) 4/3))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(* -4/3 (pow x 2))
(*.f64 (*.f64 #s(literal -4/3 binary64) x) x)
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x)
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) 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))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (-.f64 x #s(literal -1 binary64)))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))

rewrite164.0ms (2.2%)

Memory
21.3MiB live, 140.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036241
060237
1296237
22130237
08425237
Stop Event
iter limit
node limit
iter limit
Counts
22 → 541
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (pow.f64 (-.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)))
(pow.f64 (-.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))
(-.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 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (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))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(fma.f64 #s(literal -4/3 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))
(+.f64 #s(literal 1 binary64) x)
Outputs
(*.f64 (pow.f64 (pow.f64 (-.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)) #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.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)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 8 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) (/.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)))
(*.f64 (pow.f64 (sqrt.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))) #s(literal 1 binary64)) (pow.f64 (sqrt.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))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.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)) #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.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)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 8 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) (/.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)) #s(literal 1 binary64)))
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(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 16/9 binary64) (*.f64 x x))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) #s(literal -4 binary64))) (neg.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 16/9 binary64) (*.f64 x x)) (*.f64 x #s(literal -8/3 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 binary64))))))
(/.f64 (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) #s(literal -4 binary64)) (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)))
(/.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 16/9 binary64) (*.f64 x x)) (*.f64 x #s(literal -8/3 binary64)))))
(/.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)) (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) #s(literal -4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 binary64)))) (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)) (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 binary64)))) (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 16/9 binary64) (*.f64 x x)) (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64))))
(+.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64))) (+.f64 #s(literal -8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -2 binary64) (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 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))) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 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))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64)))))
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64))) (+.f64 #s(literal -8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64))) (+.f64 #s(literal -8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)))))
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
(fma.f64 x (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) #s(literal -2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 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))) (/.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64))))
(+.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)

eval70.0ms (0.9%)

Memory
-21.7MiB live, 89.6MiB allocated
Compiler

Compiled 16 052 to 2 054 computations (87.2% saved)

prune55.0ms (0.7%)

Memory
-19.7MiB live, 46.3MiB allocated
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New5139522
Fresh314
Picked415
Done011
Total52012532
Accuracy
100.0%
Counts
532 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.0%
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
52.6%
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal -1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
52.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
53.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
52.8%
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x)))
54.0%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
28.9%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
25.0%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
5.4%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
7.4%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
4.2%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
51.2%
#s(approx (/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
Compiler

Compiled 442 to 356 computations (19.5% saved)

simplify133.0ms (1.8%)

Memory
30.4MiB live, 102.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
cost-diff320
(/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
cost-diff0
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
cost-diff0
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))))
cost-diff0
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
cost-diff0
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
cost-diff0
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
cost-diff0
(-.f64 x #s(literal -1 binary64))
cost-diff0
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64)))
cost-diff0
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))
cost-diff0
(pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64))
cost-diff7168
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044311
071307
1112299
2166299
3278299
4392299
5530299
6803299
71627296
83481296
95765296
107624296
08224293
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.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 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))
#s(literal -1 binary64)
(/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
#s(literal -2 binary64)
(+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
x
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/3 binary64)
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
x
#s(literal -2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(literal 1 binary64)
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
#s(literal -1/45 binary64)
(*.f64 x x)
x
#s(literal 1/3 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.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 #s(literal -2 binary64)) x) #s(literal -1 binary64))))
#s(literal 1 binary64)
(pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal -1 binary64)))) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal -1 binary64))))
#s(literal -1 binary64)
(/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal -1 binary64)))
#s(literal -2 binary64)
(+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(-.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal -1 binary64))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) x)
(*.f64 x #s(literal -2 binary64))
x
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal -1 binary64))))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal -1/3 binary64)
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
x
#s(literal -2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x (/.f64 #s(literal 1 binary64) x))))
#s(literal 1 binary64)
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x (/.f64 #s(literal 1 binary64) x))
(fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
#s(literal -1/45 binary64)
(*.f64 x x)
x
#s(literal 1/3 binary64)

localize225.0ms (3%)

Memory
-21.4MiB live, 217.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0546875
(fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
accuracy0.10546875
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
accuracy2.3173681900705136
(/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
accuracy15.986987748066271
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
accuracy0
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
accuracy0.02734375
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))))
accuracy15.5832370947162
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
accuracy29.39620746352584
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy0.015625
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
accuracy0.0859375
(*.f64 (*.f64 x x) x)
accuracy16.03014282510316
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
accuracy29.39620746352584
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
accuracy0
(-.f64 x #s(literal -1 binary64))
accuracy15.37816861205903
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64)))
accuracy29.39620746352584
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
accuracy0.015625
(+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
accuracy0.02734375
(/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
accuracy0.10546875
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
accuracy29.39620746352584
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))
Samples
71.0ms79×1valid
63.0ms44×2valid
28.0ms72×0valid
28.0ms61×1exit
Compiler

Compiled 551 to 94 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 161.0ms
ival-pow: 34.0ms (21.1% of total)
ival-exp: 32.0ms (19.8% of total)
adjust: 24.0ms (14.9% of total)
ival-div: 21.0ms (13% of total)
ival-add: 16.0ms (9.9% of total)
ival-mult: 15.0ms (9.3% of total)
const: 12.0ms (7.4% of total)
ival-sub: 7.0ms (4.3% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
17.0MiB live, 17.0MiB allocated
Counts
23 → 58
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.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 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
(*.f64 x x)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 x x) x)
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
(fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ 1 x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))) x)
-1
(- (* -1 x) 1)
(- (* x (- (* 1/3 (pow x 2)) 1)) 1)
(- (* x (- (* (pow x 2) (+ 1/3 (* -2/15 (pow x 2)))) 1)) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(pow x 2)
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2)))))
(pow x 3)
-2
(- (* 2 x) 2)
1/3
(+ 1/3 (* -1/45 (pow x 2)))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 1 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1))
(/ -2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(* x (+ 1 (/ 1 x)))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))
(+ 1 (exp (* -2 x)))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(* -1/45 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* (pow x 3) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1)
(/ 1 (- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1))
(* -1/45 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* (pow x 4) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(* 2 x)
(* x (- 2 (* 2 (/ 1 x))))
(* -1/45 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(* -1 (* (pow x 3) (- 1/45 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/45 (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))))))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
((/ 1 (pow (- -1 (/ -2 (+ (exp (* x -2)) 1))) -1)) (pow (- -1 (/ -2 (+ (exp (* x -2)) 1))) -1) (- -1 (/ -2 (+ (exp (* x -2)) 1))) (/ -2 (+ (exp (* x -2)) 1)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- x -1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (* (* x x) x) -1/3) (+ 1 x)) (* x x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* 2 x) -2) x) 2) (/ (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) x) (/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) (+ (exp (* x -2)) 1) (* (* x x) x) (+ (* 2 x) -2) (+ (* -1/45 (* x x)) 1/3))
4.0ms
x
@inf
((/ 1 (pow (- -1 (/ -2 (+ (exp (* x -2)) 1))) -1)) (pow (- -1 (/ -2 (+ (exp (* x -2)) 1))) -1) (- -1 (/ -2 (+ (exp (* x -2)) 1))) (/ -2 (+ (exp (* x -2)) 1)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- x -1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (* (* x x) x) -1/3) (+ 1 x)) (* x x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* 2 x) -2) x) 2) (/ (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) x) (/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) (+ (exp (* x -2)) 1) (* (* x x) x) (+ (* 2 x) -2) (+ (* -1/45 (* x x)) 1/3))
2.0ms
x
@0
((/ 1 (pow (- -1 (/ -2 (+ (exp (* x -2)) 1))) -1)) (pow (- -1 (/ -2 (+ (exp (* x -2)) 1))) -1) (- -1 (/ -2 (+ (exp (* x -2)) 1))) (/ -2 (+ (exp (* x -2)) 1)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- x -1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (* (* x x) x) -1/3) (+ 1 x)) (* x x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* 2 x) -2) x) 2) (/ (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) x) (/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) (+ (exp (* x -2)) 1) (* (* x x) x) (+ (* 2 x) -2) (+ (* -1/45 (* x x)) 1/3))
0.0ms
y
@0
((/ 1 (pow (- -1 (/ -2 (+ (exp (* x -2)) 1))) -1)) (pow (- -1 (/ -2 (+ (exp (* x -2)) 1))) -1) (- -1 (/ -2 (+ (exp (* x -2)) 1))) (/ -2 (+ (exp (* x -2)) 1)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- x -1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (* (* x x) x) -1/3) (+ 1 x)) (* x x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* 2 x) -2) x) 2) (/ (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) x) (/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) (+ (exp (* x -2)) 1) (* (* x x) x) (+ (* 2 x) -2) (+ (* -1/45 (* x x)) 1/3))
0.0ms
y
@-inf
((/ 1 (pow (- -1 (/ -2 (+ (exp (* x -2)) 1))) -1)) (pow (- -1 (/ -2 (+ (exp (* x -2)) 1))) -1) (- -1 (/ -2 (+ (exp (* x -2)) 1))) (/ -2 (+ (exp (* x -2)) 1)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- x -1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (* (* x x) x) -1/3) (+ 1 x)) (* x x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* 2 x) -2) x) 2) (/ (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) x) (/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) (+ (exp (* x -2)) 1) (* (* x x) x) (+ (* 2 x) -2) (+ (* -1/45 (* x x)) 1/3))

simplify184.0ms (2.4%)

Memory
-15.7MiB live, 95.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147492
1369473
21046467
33505455
47266451
08211405
Stop Event
iter limit
node limit
Counts
58 → 57
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ 1 x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))) x)
-1
(- (* -1 x) 1)
(- (* x (- (* 1/3 (pow x 2)) 1)) 1)
(- (* x (- (* (pow x 2) (+ 1/3 (* -2/15 (pow x 2)))) 1)) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(pow x 2)
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2)))))
(pow x 3)
-2
(- (* 2 x) 2)
1/3
(+ 1/3 (* -1/45 (pow x 2)))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 1 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1))
(/ -2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(* x (+ 1 (/ 1 x)))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))
(+ 1 (exp (* -2 x)))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(* -1/45 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* (pow x 3) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1)
(/ 1 (- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1))
(* -1/45 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* (pow x 4) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(* 2 x)
(* x (- 2 (* 2 (/ 1 x))))
(* -1/45 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(* -1 (* (pow x 3) (- 1/45 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/45 (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))))))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/45 binary64) #s(literal 1 binary64))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal -1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* 1/3 (pow x 2)) 1)) 1)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal -1 binary64) x))
(- (* x (- (* (pow x 2) (+ 1/3 (* -2/15 (pow x 2)))) 1)) 1)
(-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal -1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (-.f64 x #s(literal -1 binary64)))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (-.f64 x #s(literal -1 binary64)))
(pow x 2)
(*.f64 x x)
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 1 (* 1/3 (pow x 2)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/45 binary64) #s(literal 1 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
-2
#s(literal -2 binary64)
(- (* 2 x) 2)
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1/45 (pow x 2)))
(fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(/ 1 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/ -2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64)))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64)))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* -1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (-.f64 x #s(literal -1 binary64)))
(+ 1 (exp (* -2 x)))
(+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(* -1/45 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/45 binary64))
(* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* (pow x 3) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64) (fma.f64 #s(literal -1/3 binary64) x (/.f64 #s(literal -1 binary64) x))))
(- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(/ 1 (- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(* -1/45 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/45 binary64))
(* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64)))
(* (pow x 4) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64)) #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (- 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
(* -1/45 (pow x 2))
(*.f64 #s(literal -1/45 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (-.f64 x #s(literal -1 binary64)))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(* -1 (* (pow x 3) (- 1/45 (* 1/3 (/ 1 (pow x 2))))))
(*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* -1 (* (pow x 3) (+ 1/45 (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))))))
(neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64) (fma.f64 #s(literal -1/3 binary64) x (/.f64 #s(literal -1 binary64) x))))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))

rewrite192.0ms (2.5%)

Memory
13.2MiB live, 167.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044280
071268
1343268
22285268
08212268
Stop Event
iter limit
node limit
iter limit
Counts
23 → 599
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.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 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
(*.f64 x x)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 x x) x)
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
(fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
Outputs
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -1/135 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/45 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal -1/135 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -1/135 binary64))))))
(/.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)))
(/.f64 (fma.f64 #s(literal -1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal -1/135 binary64)))))
(/.f64 (fma.f64 #s(literal -1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -1/135 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -1/135 binary64)))) (fma.f64 #s(literal -1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -1/135 binary64)))) (fma.f64 #s(literal -1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))))
(fma.f64 (*.f64 #s(literal -1/45 binary64) x) x #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64))
(fma.f64 x (*.f64 #s(literal -1/45 binary64) x) #s(literal 1/3 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64))))
(+.f64 (*.f64 #s(literal -1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/45 binary64) (*.f64 x x)))

eval108.0ms (1.4%)

Memory
-5.3MiB live, 124.6MiB allocated
Compiler

Compiled 18 724 to 2 408 computations (87.1% saved)

prune41.0ms (0.5%)

Memory
7.0MiB live, 44.6MiB allocated
Pruning

13 alts after pruning (7 fresh and 6 done)

PrunedKeptTotal
New6013604
Fresh145
Picked145
Done022
Total60313616
Accuracy
100.0%
Counts
616 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.0%
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
52.6%
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal -1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
52.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
53.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
52.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
52.8%
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x)))
54.0%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
25.4%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64))
25.0%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
5.4%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
7.4%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
4.2%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
51.2%
#s(approx (/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
Compiler

Compiled 457 to 357 computations (21.9% saved)

simplify114.0ms (1.5%)

Memory
10.8MiB live, 127.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
cost-diff1024
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))))
cost-diff0
#s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
cost-diff0
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x))))
cost-diff0
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x)))
cost-diff0
#s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))
cost-diff0
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))))
cost-diff0
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
cost-diff0
(fma.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
cost-diff0
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050417
071417
1104417
2146411
3261411
4556408
5907408
62165408
74092408
87005408
08021393
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(literal 1 binary64)
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(*.f64 x x)
x
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))
#s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
x
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))
#s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(literal 1 binary64)
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 x (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)))
x
(fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
#s(literal -1/45 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)))
#s(literal 1 binary64)
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)
(fma.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64))
#s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(*.f64 x x)
x
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))
#s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))
#s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
x
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))
#s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x (/.f64 #s(literal 1 binary64) x))))
#s(literal 1 binary64)
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x (/.f64 #s(literal 1 binary64) x))
(/.f64 x (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)))
x
(fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64))
#s(literal -1/45 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)

localize225.0ms (3%)

Memory
18.5MiB live, 329.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0546875
(fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
accuracy0.10546875
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
accuracy2.384765641911061
(/.f64 x (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy15.986987748066271
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
accuracy0.02734375
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x))))
accuracy15.5832370947162
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))
accuracy29.39620746352584
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64))
accuracy31.664226704327323
#s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
accuracy0
(/.f64 #s(literal 1 binary64) x)
accuracy0.10546875
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x)))
accuracy15.649453144640518
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x))
accuracy0.02734375
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))))
accuracy16.41359313989049
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))
accuracy29.39620746352584
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
accuracy31.821318463521067
#s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))
accuracy0.10546875
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
accuracy2.3173681900705136
(/.f64 (fma.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
accuracy15.986987748066271
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
accuracy16.335107244560614
#s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64))
Samples
72.0ms79×1valid
63.0ms44×2valid
41.0ms61×1exit
23.0ms72×0valid
Compiler

Compiled 687 to 93 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 155.0ms
ival-div: 36.0ms (23.2% of total)
ival-mult: 29.0ms (18.7% of total)
ival-exp: 21.0ms (13.6% of total)
adjust: 16.0ms (10.3% of total)
ival-pow: 16.0ms (10.3% of total)
ival-add: 15.0ms (9.7% of total)
ival-sub: 11.0ms (7.1% of total)
const: 9.0ms (5.8% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series29.0ms (0.4%)

Memory
-21.6MiB live, 16.6MiB allocated
Counts
21 → 49
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))
#s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))
#s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 x (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ 1 x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))) x)
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2)))))
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -7/135 (pow x 2)))) 1/3))))
1/3
(+ 1/3 (* -1/45 (pow x 2)))
(- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1)
(/ 1 (- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1))
(* -1/45 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* (pow x 3) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(* -1/45 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* (pow x 4) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(/ -45 (pow x 3))
(* -1 (/ (+ 45 (* 675 (/ 1 (pow x 2)))) (pow x 3)))
(/ (- (* -1 (/ (+ 675 (* 12150 (/ 1 (pow x 2)))) (pow x 2))) 45) (pow x 3))
(/ (- (* -1 (/ (+ 12150 (* 212625 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) (pow x 3))
(* -1/45 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* -1 (* (pow x 3) (- 1/45 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/45 (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(* -1 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 12150 (pow x 4)))) (pow x 3)))
(* -1 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 212625 (/ 1 (pow x 6))) (/ 12150 (pow x 4))))) (pow x 3)))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/ (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/ 1 x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* 2 x) -2) x) 2) (/ 1 (/ x (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1))) (/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/ x (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1)) (+ (* -1/45 (* x x)) 1/3) (+ (* -1/45 (* x x)) 1/3))
3.0ms
x
@inf
((/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/ (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/ 1 x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* 2 x) -2) x) 2) (/ 1 (/ x (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1))) (/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/ x (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1)) (+ (* -1/45 (* x x)) 1/3) (+ (* -1/45 (* x x)) 1/3))
1.0ms
x
@0
((/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/ (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/ 1 x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* 2 x) -2) x) 2) (/ 1 (/ x (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1))) (/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/ x (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1)) (+ (* -1/45 (* x x)) 1/3) (+ (* -1/45 (* x x)) 1/3))
0.0ms
y
@0
((/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/ (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/ 1 x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* 2 x) -2) x) 2) (/ 1 (/ x (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1))) (/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/ x (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1)) (+ (* -1/45 (* x x)) 1/3) (+ (* -1/45 (* x x)) 1/3))
0.0ms
y
@-inf
((/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/ (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/ 1 x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* 2 x) -2) x) 2) (/ 1 (/ x (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1))) (/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/ x (+ (* (+ (* -1/45 (* x x)) 1/3) (* x x)) 1)) (+ (* -1/45 (* x x)) 1/3) (+ (* -1/45 (* x x)) 1/3))

simplify174.0ms (2.3%)

Memory
-9.5MiB live, 203.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0160509
1401496
21129486
33698471
08561429
Stop Event
iter limit
node limit
Counts
49 → 48
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ 1 x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))) x)
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2)))))
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -7/135 (pow x 2)))) 1/3))))
1/3
(+ 1/3 (* -1/45 (pow x 2)))
(- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1)
(/ 1 (- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1))
(* -1/45 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* (pow x 3) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(* -1/45 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* (pow x 4) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(/ -45 (pow x 3))
(* -1 (/ (+ 45 (* 675 (/ 1 (pow x 2)))) (pow x 3)))
(/ (- (* -1 (/ (+ 675 (* 12150 (/ 1 (pow x 2)))) (pow x 2))) 45) (pow x 3))
(/ (- (* -1 (/ (+ 12150 (* 212625 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) (pow x 3))
(* -1/45 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* -1 (* (pow x 3) (- 1/45 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/45 (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(* -1 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 12150 (pow x 4)))) (pow x 3)))
(* -1 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 212625 (/ 1 (pow x 6))) (/ 12150 (pow x 4))))) (pow x 3)))
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/45 binary64) #s(literal 1 binary64))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal -1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/45 binary64) #s(literal 1 binary64)))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) x))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -7/135 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -7/135 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x)
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1/45 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64))
(- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 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))
(/ 1 (- (* 2 (/ 1 (+ 1 (/ 1 (pow (exp x) 2))))) 1))
(/.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)))
(* -1/45 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/45 binary64))
(* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x)
(* (pow x 3) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) x (/.f64 x (pow.f64 x #s(literal 4 binary64)))) x #s(literal 1/3 binary64)) x)
(* -1/45 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/45 binary64))
(* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64)))
(* (pow x 4) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64)) #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(+ 1 (exp (* -2 x)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* 2 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(/ -45 (pow x 3))
(/.f64 #s(literal -45 binary64) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (+ 45 (* 675 (/ 1 (pow x 2)))) (pow x 3)))
(/.f64 (-.f64 #s(literal -45 binary64) (/.f64 #s(literal 675 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(/ (- (* -1 (/ (+ 675 (* 12150 (/ 1 (pow x 2)))) (pow x 2))) 45) (pow x 3))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -675 binary64) (/.f64 #s(literal 12150 binary64) (*.f64 x x))) x) x) #s(literal 45 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (- (* -1 (/ (+ 12150 (* 212625 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) (pow x 3))
(/.f64 (-.f64 (-.f64 #s(literal -45 binary64) (/.f64 #s(literal 675 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 212625 binary64) (*.f64 x x)) #s(literal 12150 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* -1/45 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/45 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64))
(* -1 (* (pow x 3) (- 1/45 (* 1/3 (/ 1 (pow x 2))))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) x)
(* -1 (* (pow x 3) (+ 1/45 (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))))))
(neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64) (/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))) x)))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(* -1 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 12150 (pow x 4)))) (pow x 3)))
(/.f64 (-.f64 (-.f64 #s(literal -45 binary64) (/.f64 #s(literal 12150 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 675 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 212625 (/ 1 (pow x 6))) (/ 12150 (pow x 4))))) (pow x 3)))
(/.f64 (-.f64 (/.f64 #s(literal -212625 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 12150 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 45 binary64)) (/.f64 #s(literal 675 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))

rewrite148.0ms (2%)

Memory
-10.2MiB live, 221.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050373
071373
1313367
22126367
08195355
Stop Event
iter limit
node limit
iter limit
Counts
21 → 430
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))
#s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))
#s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 x (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
Outputs
(*.f64 (pow.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x))))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)))) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)))) #s(literal -1 binary64))
(pow.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x))))
(exp.f64 (*.f64 (log.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x))) #s(literal -1 binary64)))
(*.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) #s(literal 1 binary64))
#s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x))
(/.f64 (neg.f64 (neg.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)))) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x))) #s(literal -1 binary64))
(/.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) x) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) (/.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) x) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (fma.f64 (pow.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) x) x)) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/91125 binary64) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -1/135 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal -1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/91125 binary64) #s(literal 1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) (*.f64 (*.f64 x x) #s(literal -1/135 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/91125 binary64) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -1/135 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal -1/3 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/91125 binary64) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) (*.f64 (*.f64 x x) #s(literal -1/135 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/91125 binary64) #s(literal 1/27 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -1/135 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -1/135 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/91125 binary64) #s(literal 1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -1/135 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/91125 binary64) #s(literal 1/27 binary64))))
(fma.f64 (*.f64 #s(literal -1/45 binary64) x) x #s(literal 1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 x (*.f64 #s(literal -1/45 binary64) x) #s(literal 1/3 binary64))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64)))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal -1/3 binary64))))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/45 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64)))

eval62.0ms (0.8%)

Memory
19.5MiB live, 101.5MiB allocated
Compiler

Compiled 18 854 to 1 788 computations (90.5% saved)

prune56.0ms (0.7%)

Memory
2.5MiB live, 40.7MiB allocated
Pruning

16 alts after pruning (6 fresh and 10 done)

PrunedKeptTotal
New4684472
Fresh022
Picked145
Done066
Total46916485
Accuracy
100.0%
Counts
485 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.0%
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
52.6%
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal -1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
52.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
53.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x)))
53.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
53.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64))))))
52.8%
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x)))
52.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
53.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))))
54.0%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
25.4%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64))
25.0%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
5.4%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
7.4%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
4.2%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
51.2%
#s(approx (/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
Compiler

Compiled 947 to 454 computations (52.1% saved)

regimes60.0ms (0.8%)

Memory
-11.1MiB live, 66.1MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (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 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal -1/45 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) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.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)))
Outputs
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
Calls

7 calls:

15.0ms
x
9.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
8.0ms
(*.f64 #s(literal -2 binary64) x)
8.0ms
y
6.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
Results
AccuracySegmentsBranch
100.0%3x
69.8%6y
100.0%3(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
100.0%3(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
100.0%3(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
100.0%3(exp.f64 (*.f64 #s(literal -2 binary64) x))
100.0%3(*.f64 #s(literal -2 binary64) x)
Compiler

Compiled 33 to 39 computations (-18.2% saved)

regimes81.0ms (1.1%)

Memory
5.0MiB live, 54.7MiB allocated
Counts
24 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (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 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal -1/45 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) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)))
Outputs
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (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))
Calls

6 calls:

47.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
7.0ms
(*.f64 #s(literal -2 binary64) x)
7.0ms
x
6.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
6.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
Results
AccuracySegmentsBranch
100.0%3x
100.0%3(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
100.0%3(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
100.0%3(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
100.0%3(exp.f64 (*.f64 #s(literal -2 binary64) x))
100.0%3(*.f64 #s(literal -2 binary64) x)
Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes43.0ms (0.6%)

Memory
-14.3MiB live, 60.6MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (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 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal -1/45 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) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Outputs
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (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))
Calls

6 calls:

10.0ms
x
7.0ms
(*.f64 #s(literal -2 binary64) x)
6.0ms
(exp.f64 (*.f64 #s(literal -2 binary64) x))
6.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
6.0ms
(-.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
99.9%3x
99.9%3(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
99.9%3(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
99.9%3(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
99.9%3(exp.f64 (*.f64 #s(literal -2 binary64) x))
99.9%3(*.f64 #s(literal -2 binary64) x)
Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes71.0ms (0.9%)

Memory
8.1MiB live, 46.6MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (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 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal -1/45 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) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (/ 1 (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64))
Calls

6 calls:

39.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
7.0ms
(*.f64 #s(literal -2 binary64) x)
7.0ms
x
5.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
5.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
Results
AccuracySegmentsBranch
75.9%2x
75.9%2(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
75.9%2(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
75.9%2(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
75.9%2(exp.f64 (*.f64 #s(literal -2 binary64) x))
75.9%2(*.f64 #s(literal -2 binary64) x)
Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes26.0ms (0.3%)

Memory
25.3MiB live, 25.3MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (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 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64))
Calls

6 calls:

5.0ms
(*.f64 #s(literal -2 binary64) x)
5.0ms
x
4.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
4.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
4.0ms
(exp.f64 (*.f64 #s(literal -2 binary64) x))
Results
AccuracySegmentsBranch
75.9%2x
75.9%2(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
75.9%2(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
75.9%2(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
75.9%2(exp.f64 (*.f64 #s(literal -2 binary64) x))
75.9%2(*.f64 #s(literal -2 binary64) x)
Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes27.0ms (0.4%)

Memory
-4.9MiB live, 41.4MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (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 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 (*.f64 #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x)))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64))
Calls

6 calls:

6.0ms
(*.f64 #s(literal -2 binary64) x)
4.0ms
x
4.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
4.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
4.0ms
(exp.f64 (*.f64 #s(literal -2 binary64) x))
Results
AccuracySegmentsBranch
75.9%2x
75.9%2(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
75.9%2(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
75.9%2(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
75.9%2(exp.f64 (*.f64 #s(literal -2 binary64) x))
75.9%2(*.f64 #s(literal -2 binary64) x)
Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes24.0ms (0.3%)

Memory
6.3MiB live, 42.5MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (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))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x)))
(-.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))
Calls

6 calls:

7.0ms
(*.f64 #s(literal -2 binary64) x)
4.0ms
x
3.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
3.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
3.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
Results
AccuracySegmentsBranch
75.4%2x
75.4%2(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
75.4%2(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
75.4%2(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
75.4%2(exp.f64 (*.f64 #s(literal -2 binary64) x))
75.4%2(*.f64 #s(literal -2 binary64) x)
Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes55.0ms (0.7%)

Memory
-29.2MiB live, 45.2MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
Outputs
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x)))
Calls

6 calls:

36.0ms
(*.f64 #s(literal -2 binary64) x)
4.0ms
x
3.0ms
(exp.f64 (*.f64 #s(literal -2 binary64) x))
3.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
3.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
Results
AccuracySegmentsBranch
75.4%2(*.f64 #s(literal -2 binary64) x)
75.4%2x
75.4%2(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
75.4%2(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
75.4%2(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
75.4%2(exp.f64 (*.f64 #s(literal -2 binary64) x))
Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes17.0ms (0.2%)

Memory
26.5MiB live, 26.5MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x)))
Outputs
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x)))
Calls

6 calls:

3.0ms
(*.f64 #s(literal -2 binary64) x)
3.0ms
x
2.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (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 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
Results
AccuracySegmentsBranch
75.3%2(*.f64 #s(literal -2 binary64) x)
75.3%2x
75.3%2(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
75.3%2(exp.f64 (*.f64 #s(literal -2 binary64) x))
75.3%2(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
75.3%2(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes26.0ms (0.3%)

Memory
-23.7MiB live, 23.5MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Calls

7 calls:

10.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
3.0ms
y
3.0ms
(*.f64 #s(literal -2 binary64) x)
3.0ms
x
2.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
Results
AccuracySegmentsBranch
28.4%1y
30.0%2(*.f64 #s(literal -2 binary64) x)
30.0%2x
30.0%2(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
30.0%2(exp.f64 (*.f64 #s(literal -2 binary64) x))
30.0%2(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
30.0%2(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
Compiler

Compiled 33 to 39 computations (-18.2% saved)

regimes14.0ms (0.2%)

Memory
-6.4MiB live, 31.9MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
Calls

7 calls:

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))
2.0ms
(*.f64 #s(literal -2 binary64) x)
2.0ms
x
2.0ms
y
2.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
Results
AccuracySegmentsBranch
7.4%1y
7.4%1(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
7.4%1(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
7.4%1x
7.4%1(exp.f64 (*.f64 #s(literal -2 binary64) x))
7.4%1(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
7.4%1(*.f64 #s(literal -2 binary64) x)
Compiler

Compiled 33 to 39 computations (-18.2% saved)

regimes9.0ms (0.1%)

Memory
25.4MiB live, 25.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

7 calls:

1.0ms
(*.f64 #s(literal -2 binary64) x)
1.0ms
y
1.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
1.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
Results
AccuracySegmentsBranch
4.2%1x
4.2%1(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
4.2%1(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
4.2%1(exp.f64 (*.f64 #s(literal -2 binary64) x))
4.2%1y
4.2%1(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
4.2%1(*.f64 #s(literal -2 binary64) x)
Compiler

Compiled 33 to 39 computations (-18.2% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.879862473303434e-5
0.4163348353627869
0.0ms
-37.24563447682718
-0.0028014905161968208
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.879862473303434e-5
0.4163348353627869
0.0ms
-37.24563447682718
-0.0028014905161968208
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.879862473303434e-5
0.4163348353627869
0.0ms
-0.0028014905161968208
-1.6873061679362032e-6
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.4163348353627869
70016548499568.6
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.4163348353627869
70016548499568.6
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.4163348353627869
70016548499568.6
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.000005590627833
1.0000287990394174
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.794788247265225
Compiler

Compiled 13 to 16 computations (-23.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.794788247265225
Compiler

Compiled 13 to 16 computations (-23.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.4163348353627869
70016548499568.6
Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify33.0ms (0.4%)

Memory
1.6MiB live, 75.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114563
1136563
2159563
3194563
4209563
5217563
6220563
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -20 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64)))))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -20 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (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))))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1152921504606847/576460752303423488 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/147573952589676412928 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))))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)))))) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)))) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 4503689699363043/4503599627370496 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x))) (-.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)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
Outputs
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -20 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64)))))
(if (<=.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -20 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) (if (<=.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64)))))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -20 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (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))))
(if (<=.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -20 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) (if (<=.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1152921504606847/576460752303423488 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/147573952589676412928 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))))
(if (<=.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1152921504606847/576460752303423488 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) (if (<=.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 7378697629483821/147573952589676412928 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 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)))))) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)))))) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)))) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* -1/45 (* x x)) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)))))) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 4503689699363043/4503599627370496 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x))) (-.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)))
(if (<=.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 4503689699363043/4503599627370496 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x))) (-.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)))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (*.f64 #s(literal 2 binary64) x) x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (pow (- -1 (/ -2 (+ (pow (exp x) -2) 1))) -1) (/.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))

soundness2.4s (32.1%)

Memory
-44.7MiB live, 980.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036241
060237
1296237
22130237
08425237
0147492
1369473
21046467
33505455
47266451
08211405
0931
01431
15331
237131
3596931
0813631
049164
1119164
2234154
3604154
41200154
51777154
62034154
72609154
83678154
95741154
106674154
117080154
127222154
137282154
147322154
08037133
050373
071373
1313367
22126367
08195355
0152490
1390467
21132451
33933447
08594388
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 917 to 432 computations (52.9% saved)

preprocess111.0ms (1.5%)

Memory
6.6MiB live, 81.6MiB allocated
Remove

(abs y)

Compiler

Compiled 1 262 to 330 computations (73.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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