Hyperbolic arc-(co)secant

Time bar (total: 3.8s)

analyze5.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
33.3%12.5%25%0%0%62.5%0%4
60%18.7%12.5%0%0%68.7%0%5
77.8%21.9%6.2%0%0%71.8%0%6
88.2%23.4%3.1%0%0%73.4%0%7
93.9%24.2%1.6%0%0%74.2%0%8
96.9%24.6%0.8%0%0%74.6%0%9
98.4%24.8%0.4%0%0%74.8%0%10
99.2%24.9%0.2%0%0%74.9%0%11
99.6%24.9%0.1%0%0%74.9%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
Operation ival-div, time spent: 1.0ms, 43.0% of total-time
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation ival-add, time spent: 0.0ms, 0.0% of total-time
Operation ival-log, time spent: 0.0ms, 0.0% of total-time
Operation ival-mult, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time
Operation ival-sqrt, time spent: 0.0ms, 0.0% of total-time

sample1.3s (34.7%)

Results
1.2s8255×256valid
2.0ms15×256invalid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 587.0ms
Operation ival-log, time spent: 160.0ms, 27.0% of total-time
Operation ival-div, time spent: 148.0ms, 25.0% of total-time
Operation ival-mult, time spent: 88.0ms, 15.0% of total-time
Operation ival-sqrt, time spent: 74.0ms, 13.0% of total-time
Operation ival-sub, time spent: 54.0ms, 9.0% of total-time
Operation ival-add, time spent: 44.0ms, 7.0% of total-time
Operation const, time spent: 19.0ms, 3.0% of total-time
Bogosity

preprocess378.0ms (9.9%)

Algorithm
1×egg-herbie
Rules
1668×fma-define
1008×fma-neg
910×associate-+r+
860×distribute-lft-out--
806×unsub-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
00-0-1
00-0-(/.f64 1 x)
00-0-(*.f64 x x)
00-0-(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
00-0-(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
00-0-(-.f64 1 (*.f64 x x))
00-0-x
00-0-(sqrt.f64 (-.f64 1 (*.f64 x x)))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
023224
150208
284208
3170208
4305196
5512196
6789172
71360172
82100172
92974172
105680172
117159172
Stop Event
1×node limit
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (neg.f64 x))))
(neg.f64 (log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (neg.f64 x)))))
Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (*.f64 (/.f64 -1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (*.f64 (/.f64 -1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))
(log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (neg.f64 x))))
(log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x))))
(log.f64 (-.f64 (/.f64 -1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (*.f64 (/.f64 -1 x) (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) -1)))
(log.f64 (*.f64 (/.f64 1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(log.f64 (/.f64 (-.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))
(neg.f64 (log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (neg.f64 x)))))
(neg.f64 (log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)))))
(neg.f64 (log.f64 (-.f64 (/.f64 -1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(neg.f64 (log.f64 (*.f64 (/.f64 -1 x) (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) -1))))
(neg.f64 (log.f64 (*.f64 (/.f64 1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(neg.f64 (log.f64 (/.f64 (-.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)))
Compiler

Compiled 136 to 80 computations (41.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
Operation ival-div, time spent: 23.0ms, 27.0% of total-time
Operation ival-sub, time spent: 18.0ms, 21.0% of total-time
Operation ival-sqrt, time spent: 16.0ms, 19.0% of total-time
Operation ival-log, time spent: 9.0ms, 11.0% of total-time
Operation ival-add, time spent: 8.0ms, 9.0% of total-time
Operation ival-mult, time spent: 8.0ms, 9.0% of total-time
Operation const, time spent: 3.0ms, 4.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 38 to 28 computations (26.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize90.0ms (2.4%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓100.0%
(sqrt.f64 (-.f64 1 (*.f64 x x)))
✓100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓100.0%
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
Compiler

Compiled 54 to 30 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
Operation ival-div, time spent: 13.0ms, 30.0% of total-time
Operation ival-sub, time spent: 11.0ms, 26.0% of total-time
Operation ival-sqrt, time spent: 8.0ms, 19.0% of total-time
Operation ival-log, time spent: 4.0ms, 9.0% of total-time
Operation ival-add, time spent: 3.0ms, 7.0% of total-time
Operation ival-mult, time spent: 2.0ms, 5.0% of total-time
Operation const, time spent: 2.0ms, 5.0% of total-time

series8.0ms (0.2%)

Counts
3 → 36
Calls
Call 1
Inputs
#<alt (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))>
#<alt (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))>
#<alt (sqrt.f64 (-.f64 1 (*.f64 x x)))>
Outputs
#<alt (/.f64 2 x)>
#<alt (/.f64 (+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) x)>
#<alt (/.f64 (+.f64 2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/8 (pow.f64 x 2)) 1/2))) x)>
#<alt (/.f64 (+.f64 2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/16 (pow.f64 x 2)) 1/8)) 1/2))) x)>
#<alt (sqrt.f64 -1)>
#<alt (+.f64 (sqrt.f64 -1) (/.f64 1 x))>
#<alt (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))) (/.f64 1 x)))>
#<alt (-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))>
#<alt (*.f64 -1 (sqrt.f64 -1))>
#<alt (+.f64 (*.f64 -1 (sqrt.f64 -1)) (/.f64 1 x))>
#<alt (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))) 1) x)))>
#<alt (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1)))) x)) 1) x)))>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))>
#<alt (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 -1/4 (pow.f64 x 2))))>
#<alt (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -3/32 (pow.f64 x 2)) 1/4))))>
#<alt (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -5/96 (pow.f64 x 2)) 3/32)) 1/4))))>
#<alt (log.f64 (sqrt.f64 -1))>
#<alt (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (sqrt.f64 -1))))>
#<alt (-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (/.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))>
#<alt (-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))>
#<alt (log.f64 (*.f64 -1 (sqrt.f64 -1)))>
#<alt (-.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))>
#<alt (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))))) x)))>
#<alt (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 3/40 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 1 (sqrt.f64 -1))) (/.f64 1/6 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)))) x)))>
#<alt 1>
#<alt (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))>
#<alt (+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/8 (pow.f64 x 2)) 1/2)))>
#<alt (+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/16 (pow.f64 x 2)) 1/8)) 1/2)))>
#<alt (*.f64 x (sqrt.f64 -1))>
#<alt (*.f64 x (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))))>
#<alt (*.f64 x (-.f64 (+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))>
#<alt (*.f64 x (-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))))>
#<alt (*.f64 -1 (*.f64 x (sqrt.f64 -1)))>
#<alt (*.f64 -1 (*.f64 x (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))))>
Calls

9 calls:

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

rewrite244.0ms (6.4%)

Algorithm
1×batch-egg-rewrite
Rules
1034×log1p-expm1-u
1034×expm1-log1p-u
808×fma-define
406×fma-neg
322×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014112
1205106
22952106
Stop Event
1×node limit
Counts
3 → 134
Calls
Call 1
Inputs
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) 1)
(-.f64 (/.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)) (/.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)))
(*.f64 1 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) 1))
(*.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 1)
(*.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 2) (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) (sqrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(*.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) (pow.f64 x -2))
(*.f64 (fma.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (/.f64 1 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x 2))))))
(*.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))) (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)))
(*.f64 (+.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) 1) (/.f64 1 x))
(/.f64 1 (/.f64 (pow.f64 x 2) (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x 2)))) (fma.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) (pow.f64 x -3) (pow.f64 x -3))))
(/.f64 1 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x) (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)))))
(/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) (pow.f64 x 2))
(/.f64 (fma.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x 2)))))
(/.f64 (fma.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (fma.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2) (-.f64 (pow.f64 x -2) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x 2)))))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
(/.f64 (+.f64 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x) (*.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(/.f64 (fma.f64 -1 x (*.f64 x (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) (neg.f64 (pow.f64 x 2)))
(/.f64 (fma.f64 -1 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(/.f64 (fma.f64 -1 x (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (neg.f64 (pow.f64 x 2)))
(/.f64 (fma.f64 -1 (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (+.f64 x (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 1)) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
(/.f64 (fma.f64 -1 x (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) -1)) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (neg.f64 x)))
(/.f64 (fma.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (neg.f64 x) (*.f64 x -1)) (neg.f64 (pow.f64 x 2)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x (*.f64 (neg.f64 x) 1)) (neg.f64 (pow.f64 x 2)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (neg.f64 x) (*.f64 (neg.f64 x) -1)) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (neg.f64 (pow.f64 x 2)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (neg.f64 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)))) (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)))
(/.f64 (fma.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2) (neg.f64 (pow.f64 x -2))) (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) (/.f64 1 x)))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) 1) (pow.f64 x 2))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) x) x)
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(log.f64 (*.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))) (exp.f64 (/.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(exp.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(fma.f64 1 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) (/.f64 1 x))
(fma.f64 (/.f64 1 x) 1 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(fma.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 x) (/.f64 1 x))
(fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) 1 (/.f64 1 x))
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))) (/.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x) (/.f64 1 x))
(fma.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (/.f64 1 x)) (/.f64 1 x))
(fma.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) x) (/.f64 1 x))
(fma.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (*.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (/.f64 1 x)) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 x)) (/.f64 1 x))
(fma.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (/.f64 1 x))
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (/.f64 1 (neg.f64 x)) (/.f64 1 x))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (sqrt.f64 x)) (/.f64 1 x))
(fma.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) x) (/.f64 1 x))
(fma.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x))
(+.f64 0 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 2)) (log.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(+.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) (log.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))) 1)
(-.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (*.f64 2 (log.f64 x)))
(-.f64 (log.f64 (fma.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (log.f64 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x 2))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)))) (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)))
(*.f64 1 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(*.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 1)
(*.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) 2) (cbrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(pow.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 1)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 2))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(log1p.f64 (fma.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) -1))
(exp.f64 (log.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (cbrt.f64 (-.f64 1 (pow.f64 x 2))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(*.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (hypot.f64 1 (hypot.f64 x (pow.f64 x 2))))
(pow.f64 (-.f64 1 (pow.f64 x 2)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(hypot.f64 1 (sqrt.f64 (neg.f64 (pow.f64 x 2))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 x 2))) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2)))) 1))

simplify127.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
820×distribute-lft-in
794×distribute-rgt-in
662×associate-*r/
450×cancel-sign-sub-inv
378×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04579045
110538373
232098053
Stop Event
1×node limit
Counts
170 → 280
Calls
Call 1
Inputs
(/.f64 2 x)
(/.f64 (+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) x)
(/.f64 (+.f64 2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/8 (pow.f64 x 2)) 1/2))) x)
(/.f64 (+.f64 2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/16 (pow.f64 x 2)) 1/8)) 1/2))) x)
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))) (/.f64 1 x)))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (*.f64 -1 (sqrt.f64 -1)) (/.f64 1 x))
(+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))) 1) x)))
(+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1)))) x)) 1) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -3/32 (pow.f64 x 2)) 1/4))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -5/96 (pow.f64 x 2)) 3/32)) 1/4))))
(log.f64 (sqrt.f64 -1))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (/.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(log.f64 (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))))) x)))
(+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 3/40 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 1 (sqrt.f64 -1))) (/.f64 1/6 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)))) x)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/8 (pow.f64 x 2)) 1/2)))
(+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/16 (pow.f64 x 2)) 1/8)) 1/2)))
(*.f64 x (sqrt.f64 -1))
(*.f64 x (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(*.f64 x (-.f64 (+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(*.f64 x (-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))))
(*.f64 -1 (*.f64 x (sqrt.f64 -1)))
(*.f64 -1 (*.f64 x (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))))
(*.f64 -1 (*.f64 x (-.f64 (+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))))
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(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(hypot.f64 1 (sqrt.f64 (neg.f64 (pow.f64 x 2))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 x 2))) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2)))) 1))
Outputs
(/.f64 2 x)
(/.f64 (+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) x)
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(/.f64 (+.f64 2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/8 (pow.f64 x 2)) 1/2))) x)
(/.f64 (+.f64 2 (*.f64 (pow.f64 x 2) (fma.f64 -1/8 (pow.f64 x 2) -1/2))) x)
(/.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -1/8 -1/2) 2) x)
(/.f64 (+.f64 2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/16 (pow.f64 x 2)) 1/8)) 1/2))) x)
(/.f64 (+.f64 2 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 -1/16 (pow.f64 x 2) -1/8) -1/2))) x)
(/.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -1/16 -1/8) -1/2) 2) x)
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))) (/.f64 1 x)))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 x)) (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 x 2))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 x)) (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (-.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 x 2)) (/.f64 (/.f64 1/8 (pow.f64 x 4)) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))) (/.f64 1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 4))))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(+.f64 (*.f64 -1 (sqrt.f64 -1)) (/.f64 1 x))
(fma.f64 -1 (sqrt.f64 -1) (/.f64 1 x))
(-.f64 (/.f64 1 x) (sqrt.f64 -1))
(+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))) 1) x)))
(*.f64 -1 (+.f64 (sqrt.f64 -1) (/.f64 (+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) -1) x)))
(-.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 (+.f64 -1 (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) x))
(-.f64 (/.f64 (+.f64 1 (/.f64 -1/2 (*.f64 x (sqrt.f64 -1)))) x) (sqrt.f64 -1))
(+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1)))) x)) 1) x)))
(*.f64 -1 (+.f64 (sqrt.f64 -1) (/.f64 (fma.f64 -1 (/.f64 (-.f64 (/.f64 1/8 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1/2 (sqrt.f64 -1))) x) -1) x)))
(-.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 (fma.f64 -1 (-.f64 (/.f64 1/8 (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 x 3))) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) -1) x))
(-.f64 (/.f64 (+.f64 1 (/.f64 (fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 2)) (/.f64 -1/2 (sqrt.f64 -1))) x)) x) (sqrt.f64 -1))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (fma.f64 -1 (log.f64 x) (*.f64 (pow.f64 x 2) -1/4)))
(+.f64 (log.f64 2) (fma.f64 (pow.f64 x 2) -1/4 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -3/32 (pow.f64 x 2)) 1/4))))
(+.f64 (log.f64 2) (fma.f64 -1 (log.f64 x) (*.f64 (pow.f64 x 2) (fma.f64 -3/32 (pow.f64 x 2) -1/4))))
(+.f64 (log.f64 2) (-.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -3/32 -1/4)) (log.f64 x)))
(+.f64 (log.f64 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -3/32 -1/4) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -5/96 (pow.f64 x 2)) 3/32)) 1/4))))
(+.f64 (log.f64 2) (fma.f64 -1 (log.f64 x) (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 -5/96 (pow.f64 x 2) -3/32) -1/4))))
(+.f64 (log.f64 2) (-.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -5/96 -3/32) -1/4)) (log.f64 x)))
(+.f64 (log.f64 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -5/96 -3/32) -1/4) (neg.f64 (log.f64 x))))
(log.f64 (sqrt.f64 -1))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (log.f64 (sqrt.f64 -1)))
(-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (/.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))
(+.f64 (log.f64 (sqrt.f64 -1)) (-.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 (/.f64 1/6 (pow.f64 x 3)) (pow.f64 (sqrt.f64 -1) 3))))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1/6 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) x))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1/6 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (-.f64 (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 3/40 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 (/.f64 1/6 (pow.f64 x 3)) (pow.f64 (sqrt.f64 -1) 3))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 (/.f64 3/40 (pow.f64 (sqrt.f64 -1) 5)) (pow.f64 x 5)) (/.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1/6 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) x)))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 3/40 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1/6 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))
(log.f64 (*.f64 -1 (sqrt.f64 -1)))
(log.f64 (neg.f64 (sqrt.f64 -1)))
(-.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 -1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))))) x)))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (neg.f64 (/.f64 (-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 (/.f64 1/6 (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 3))) x)))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1/6 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) x))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 1/6 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))
(+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 3/40 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 1 (sqrt.f64 -1))) (/.f64 1/6 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)))) x)))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (neg.f64 (/.f64 (+.f64 (/.f64 3/40 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 5))) (-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 (/.f64 1/6 (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 3)))) x)))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 (+.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 3/40 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1/6 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) x))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 (+.f64 (/.f64 -1/6 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))) (+.f64 (/.f64 -3/40 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 -1 (sqrt.f64 -1)))) x))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(fma.f64 -1/2 (pow.f64 x 2) 1)
(+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/8 (pow.f64 x 2)) 1/2)))
(+.f64 (*.f64 (pow.f64 x 2) (fma.f64 -1/8 (pow.f64 x 2) -1/2)) 1)
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -1/8 -1/2) 1)
(+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1/16 (pow.f64 x 2)) 1/8)) 1/2)))
(+.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 -1/16 (pow.f64 x 2) -1/8) -1/2)) 1)
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -1/16 -1/8) -1/2) 1)
(*.f64 x (sqrt.f64 -1))
(*.f64 x (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(*.f64 x (+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(*.f64 x (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 x 2))))
(*.f64 x (-.f64 (+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(*.f64 x (+.f64 (sqrt.f64 -1) (-.f64 (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))))
(*.f64 x (+.f64 (sqrt.f64 -1) (-.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 x 2)) (/.f64 (/.f64 1/8 (pow.f64 x 4)) (neg.f64 (sqrt.f64 -1))))))
(*.f64 x (+.f64 (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (/.f64 1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 4))))))
(*.f64 x (-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))))
(*.f64 x (-.f64 (+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6)))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(*.f64 x (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6))) (-.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 x 2)) (/.f64 (/.f64 1/8 (pow.f64 x 4)) (neg.f64 (sqrt.f64 -1)))))))
(*.f64 x (+.f64 (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6))) (/.f64 1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 4)))))))
(*.f64 -1 (*.f64 x (sqrt.f64 -1)))
(*.f64 (neg.f64 x) (sqrt.f64 -1))
(*.f64 x (neg.f64 (sqrt.f64 -1)))
(*.f64 -1 (*.f64 x (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))))
(*.f64 (neg.f64 x) (+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(*.f64 x (neg.f64 (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 x 2)))))
(*.f64 x (neg.f64 (+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(*.f64 -1 (*.f64 x (-.f64 (+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))))
(*.f64 (neg.f64 x) (+.f64 (sqrt.f64 -1) (-.f64 (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))))
(*.f64 (+.f64 (sqrt.f64 -1) (-.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 x 2)) (/.f64 (/.f64 1/8 (pow.f64 x 4)) (neg.f64 (sqrt.f64 -1))))) (neg.f64 x))
(*.f64 (+.f64 (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (/.f64 1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 4))))) (neg.f64 x))
(*.f64 -1 (*.f64 x (-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))))
(*.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6)))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(*.f64 x (neg.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6))) (-.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 x 2)) (/.f64 (/.f64 1/8 (pow.f64 x 4)) (neg.f64 (sqrt.f64 -1))))))))
(*.f64 x (neg.f64 (+.f64 (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6))) (/.f64 1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 4))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) 1)
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)))
(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x) 0)
(-.f64 (/.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)) (/.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
(/.f64 (*.f64 x (*.f64 (+.f64 (+.f64 -1 (pow.f64 x 2)) 1) (pow.f64 x -2))) (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(*.f64 (+.f64 (+.f64 (pow.f64 x 2) -1) 1) (/.f64 (/.f64 1 x) (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(*.f64 1 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) 1))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(*.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 1)
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(*.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 2))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
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(log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) 3)
(log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
(pow.f64 (pow.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 3) 1/3)
(log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) 2)
(log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 2))
(log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 3))
(log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
(log1p.f64 (fma.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) -1))
(log1p.f64 (+.f64 -1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)))
(log.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x) 0))
(exp.f64 (log.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) 1))
(log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 1)
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 x 2)))
(*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 x 2)))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) 1)
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 x 2)))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (cbrt.f64 (-.f64 1 (pow.f64 x 2))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(*.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 x 2)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 2))))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 x 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2)))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2)))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (hypot.f64 1 (hypot.f64 x (pow.f64 x 2))))
(pow.f64 (-.f64 1 (pow.f64 x 2)) 1/2)
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 x 2)))
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) 1)
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 x 2)))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 3)
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 x 2)))
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2))
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) 2)
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 x 2)))
(fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 x 2)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 x 2)))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 x 2)))
(hypot.f64 1 (sqrt.f64 (neg.f64 (pow.f64 x 2))))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 x 2)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 x 2)))
(exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 x 2)))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 x 2))) 1/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 x 2)))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2)))) 1))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 x 2)))

eval157.0ms (4.1%)

Compiler

Compiled 5692 to 4657 computations (18.2% saved)

prune38.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2773280
Fresh000
Picked011
Done000
Total2774281
Accuracy
100.0%
Counts
281 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.6%
(-.f64 (log.f64 2) (log.f64 x))
▶99.6%
(log.f64 (/.f64 (+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) x))
▶98.9%
(log.f64 (/.f64 2 x))
✓100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Compiler

Compiled 36 to 28 computations (22.2% saved)

localize131.0ms (3.4%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓99.7%
(-.f64 (log.f64 2) (log.f64 x))
✓100.0%
(/.f64 (+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) x)
Compiler

Compiled 59 to 44 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
Operation ival-log, time spent: 21.0ms, 29.0% of total-time
Operation ival-mult, time spent: 18.0ms, 25.0% of total-time
Operation ival-pow, time spent: 13.0ms, 18.0% of total-time
Operation ival-div, time spent: 10.0ms, 14.0% of total-time
Operation ival-add, time spent: 4.0ms, 6.0% of total-time
Operation const, time spent: 3.0ms, 4.0% of total-time
Operation ival-sub, time spent: 1.0ms, 1.0% of total-time

series74.0ms (1.9%)

Counts
2 → 17
Calls
Call 1
Inputs
#<alt (/.f64 (+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) x)>
#<alt (-.f64 (log.f64 2) (log.f64 x))>
Outputs
#<alt (/.f64 2 x)>
#<alt (*.f64 -1/2 x)>
#<alt (*.f64 x (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1/2))>
#<alt (*.f64 x (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1/2))>
#<alt (*.f64 x (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1/2))>
#<alt (*.f64 -1/2 x)>
#<alt (*.f64 -1 (*.f64 x (-.f64 1/2 (*.f64 2 (/.f64 1 (pow.f64 x 2))))))>
#<alt (*.f64 -1 (*.f64 x (-.f64 1/2 (*.f64 2 (/.f64 1 (pow.f64 x 2))))))>
#<alt (*.f64 -1 (*.f64 x (-.f64 1/2 (*.f64 2 (/.f64 1 (pow.f64 x 2))))))>
#<alt (-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (-.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))>
#<alt (-.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))>
#<alt (-.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))>
#<alt (-.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))>
Calls

6 calls:

TimeVariablePointExpression
50.0ms
x
@0
(- (log 2) (log x))
15.0ms
x
@-inf
(- (log 2) (log x))
6.0ms
x
@inf
(- (log 2) (log x))
1.0ms
x
@inf
(/ (+ 2 (* -1/2 (pow x 2))) x)
0.0ms
x
@0
(/ (+ 2 (* -1/2 (pow x 2))) x)

rewrite109.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
1018×prod-diff
1009×log1p-expm1-u
1009×expm1-log1p-u
548×fma-define
332×log1p-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01545
119741
2274341
Stop Event
1×node limit
Counts
2 → 114
Calls
Call 1
Inputs
(/.f64 (+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) x)
(-.f64 (log.f64 2) (log.f64 x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x))) 1)
(*.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) (/.f64 1 x))
(*.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x) 1)
(*.f64 1 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)) 2) (cbrt.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) 2) (/.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) 2) (*.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)) (sqrt.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(*.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) (/.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) x))
(*.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) (*.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) (/.f64 1 x)))
(*.f64 (neg.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (fma.f64 -1/2 (pow.f64 x 2) 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) 1) (/.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) (cbrt.f64 x)))
(pow.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)) 2)
(pow.f64 (/.f64 x (fma.f64 -1/2 (pow.f64 x 2) 2)) -1)
(neg.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(exp.f64 (log.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)) 1))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 (log.f64 x)) 1))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 -1 (log.f64 x) (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 2))
(*.f64 (log.f64 (/.f64 2 x)) 1)
(*.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2)) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))))
(/.f64 1 (/.f64 (log.f64 (*.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (*.f64 2 x))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (neg.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 (log.f64 2) (neg.f64 (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (log.f64 2) (neg.f64 (log.f64 x))))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(log.f64 (/.f64 2 x))
(log.f64 (+.f64 1 (-.f64 (/.f64 2 x) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 1))
(fma.f64 (log.f64 2) 1 (neg.f64 (log.f64 x)))
(fma.f64 (log.f64 2) 1 (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 (log.f64 (/.f64 2 x)) 1 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (log.f64 (/.f64 2 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (log.f64 (/.f64 2 x)) 1 (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 1 (log.f64 2) (neg.f64 (log.f64 x)))
(fma.f64 1 (log.f64 2) (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 1 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 1 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 1 (log.f64 (/.f64 2 x)) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 1 (neg.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (neg.f64 (log.f64 x)))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (neg.f64 (cbrt.f64 (log.f64 x))) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 (sqrt.f64 (log.f64 x)) (neg.f64 (sqrt.f64 (log.f64 x))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 -1 (log.f64 x) (log.f64 2))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (cbrt.f64 (neg.f64 (log.f64 x)))) (cbrt.f64 (neg.f64 (log.f64 x))) (log.f64 2))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 (neg.f64 (log.f64 x))) (log.f64 2))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)) (log.f64 2))

simplify118.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
1400×fma-neg
684×distribute-lft-neg-in
622×fma-define
570×div-sub
430×unsub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02504805
15484368
213853381
349923373
Stop Event
1×node limit
Counts
131 → 135
Calls
Call 1
Inputs
(/.f64 2 x)
(*.f64 -1/2 x)
(*.f64 x (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1/2))
(*.f64 x (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1/2))
(*.f64 x (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1/2))
(*.f64 -1/2 x)
(*.f64 -1 (*.f64 x (-.f64 1/2 (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(*.f64 -1 (*.f64 x (-.f64 1/2 (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(*.f64 -1 (*.f64 x (-.f64 1/2 (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(-.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(-.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(-.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x))) 1)
(*.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) (/.f64 1 x))
(*.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x) 1)
(*.f64 1 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)) 2) (cbrt.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) 2) (/.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) 2) (*.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)) (sqrt.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(*.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) (/.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) x))
(*.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) (*.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) (/.f64 1 x)))
(*.f64 (neg.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (fma.f64 -1/2 (pow.f64 x 2) 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) 1) (/.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) (cbrt.f64 x)))
(pow.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)) 2)
(pow.f64 (/.f64 x (fma.f64 -1/2 (pow.f64 x 2) 2)) -1)
(neg.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(exp.f64 (log.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)) 1))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 (log.f64 x)) 1))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 -1 (log.f64 x) (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 2))
(*.f64 (log.f64 (/.f64 2 x)) 1)
(*.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2)) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))))
(/.f64 1 (/.f64 (log.f64 (*.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (*.f64 2 x))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (neg.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 (log.f64 2) (neg.f64 (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (log.f64 2) (neg.f64 (log.f64 x))))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(log.f64 (/.f64 2 x))
(log.f64 (+.f64 1 (-.f64 (/.f64 2 x) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 1))
(fma.f64 (log.f64 2) 1 (neg.f64 (log.f64 x)))
(fma.f64 (log.f64 2) 1 (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 (log.f64 (/.f64 2 x)) 1 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (log.f64 (/.f64 2 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (log.f64 (/.f64 2 x)) 1 (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 1 (log.f64 2) (neg.f64 (log.f64 x)))
(fma.f64 1 (log.f64 2) (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 1 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 1 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 1 (log.f64 (/.f64 2 x)) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 1 (neg.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (neg.f64 (log.f64 x)))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (neg.f64 (cbrt.f64 (log.f64 x))) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 (sqrt.f64 (log.f64 x)) (neg.f64 (sqrt.f64 (log.f64 x))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 -1 (log.f64 x) (log.f64 2))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (cbrt.f64 (neg.f64 (log.f64 x)))) (cbrt.f64 (neg.f64 (log.f64 x))) (log.f64 2))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 (neg.f64 (log.f64 x))) (log.f64 2))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)) (log.f64 2))
Outputs
(/.f64 2 x)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(*.f64 x (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1/2))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(*.f64 x (-.f64 -1/2 (/.f64 -2 (pow.f64 x 2))))
(*.f64 x (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1/2))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(*.f64 x (-.f64 -1/2 (/.f64 -2 (pow.f64 x 2))))
(*.f64 x (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1/2))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(*.f64 x (-.f64 -1/2 (/.f64 -2 (pow.f64 x 2))))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(*.f64 -1 (*.f64 x (-.f64 1/2 (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(*.f64 x (-.f64 -1/2 (/.f64 -2 (pow.f64 x 2))))
(*.f64 -1 (*.f64 x (-.f64 1/2 (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(*.f64 x (-.f64 -1/2 (/.f64 -2 (pow.f64 x 2))))
(*.f64 -1 (*.f64 x (-.f64 1/2 (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(*.f64 x (-.f64 -1/2 (/.f64 -2 (pow.f64 x 2))))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(-.f64 (log.f64 2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(-.f64 (log.f64 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 2) (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (-.f64 (log.f64 2) (log.f64 -1)) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(-.f64 (log.f64 2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(-.f64 (log.f64 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 2) (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (-.f64 (log.f64 2) (log.f64 -1)) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(-.f64 (log.f64 2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(-.f64 (log.f64 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 2) (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (-.f64 (log.f64 2) (log.f64 -1)) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(-.f64 (log.f64 2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(-.f64 (log.f64 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 2) (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (-.f64 (log.f64 2) (log.f64 -1)) (log.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x))) 1)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(*.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) (/.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(*.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x) 1)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(*.f64 1 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)) 2))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)) 2) (cbrt.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) 2) (/.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) x))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) 2) (*.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) (/.f64 1 x)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)) (sqrt.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(*.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) (/.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) x))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(*.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) (*.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) (/.f64 1 x)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(*.f64 (neg.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) (/.f64 1 (neg.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(*.f64 (/.f64 1 x) (fma.f64 -1/2 (pow.f64 x 2) 2))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) (cbrt.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) x))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) 1) (/.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) x))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) (cbrt.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(pow.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x) 1)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)) 3)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x) 3) 1/3)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)) 2)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(pow.f64 (/.f64 x (fma.f64 -1/2 (pow.f64 x 2) 2)) -1)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(neg.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) (neg.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(neg.f64 (/.f64 (neg.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)) x))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x) 2))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(log.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)))
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(+.f64 (log.f64 (/.f64 2 x)) (*.f64 0 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 -1 (log.f64 x) (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (*.f64 0 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 2))
(-.f64 (log.f64 2) (log.f64 x))
(fma.f64 -1 (log.f64 x) (log.f64 2))
(-.f64 (log.f64 2) (log.f64 x))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (cbrt.f64 (neg.f64 (log.f64 x)))) (cbrt.f64 (neg.f64 (log.f64 x))) (log.f64 2))
(-.f64 (log.f64 2) (log.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 (neg.f64 (log.f64 x))) (log.f64 2))
(-.f64 (log.f64 2) (log.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)) (log.f64 2))
(-.f64 (log.f64 2) (log.f64 x))

eval43.0ms (1.1%)

Compiler

Compiled 1932 to 1353 computations (30% saved)

prune16.0ms (0.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1341135
Fresh000
Picked123
Done011
Total1354139
Accuracy
100.0%
Counts
139 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.6%
(-.f64 (log.f64 2) (log.f64 x))
✓98.9%
(log.f64 (/.f64 2 x))
✓100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶51.2%
(log.f64 (*.f64 x (-.f64 -1/2 (/.f64 -2 (pow.f64 x 2)))))
Compiler

Compiled 36 to 28 computations (22.2% saved)

localize84.0ms (2.2%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓99.8%
(/.f64 -2 (pow.f64 x 2))
✓53.3%
(*.f64 x (-.f64 -1/2 (/.f64 -2 (pow.f64 x 2))))
Compiler

Compiled 40 to 32 computations (20% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
Operation ival-pow, time spent: 16.0ms, 37.0% of total-time
Operation ival-div, time spent: 10.0ms, 23.0% of total-time
Operation ival-sub, time spent: 7.0ms, 16.0% of total-time
Operation ival-log, time spent: 5.0ms, 11.0% of total-time
Operation ival-mult, time spent: 4.0ms, 9.0% of total-time
Operation const, time spent: 2.0ms, 5.0% of total-time

series3.0ms (0.1%)

Counts
2 → 12
Calls
Call 1
Inputs
#<alt (*.f64 x (-.f64 -1/2 (/.f64 -2 (pow.f64 x 2))))>
#<alt (/.f64 -2 (pow.f64 x 2))>
Outputs
#<alt (/.f64 2 x)>
#<alt (/.f64 (+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) x)>
#<alt (/.f64 (+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) x)>
#<alt (/.f64 (+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) x)>
#<alt (*.f64 -1/2 x)>
#<alt (*.f64 x (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1/2))>
#<alt (*.f64 x (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1/2))>
#<alt (*.f64 x (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1/2))>
#<alt (*.f64 -1/2 x)>
#<alt (*.f64 -1 (*.f64 x (-.f64 1/2 (*.f64 2 (/.f64 1 (pow.f64 x 2))))))>
#<alt (*.f64 -1 (*.f64 x (-.f64 1/2 (*.f64 2 (/.f64 1 (pow.f64 x 2))))))>
#<alt (*.f64 -1 (*.f64 x (-.f64 1/2 (*.f64 2 (/.f64 1 (pow.f64 x 2))))))>
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(* x (- -1/2 (/ -2 (pow x 2))))
1.0ms
x
@0
(* x (- -1/2 (/ -2 (pow x 2))))
0.0ms
x
@0
(/ -2 (pow x 2))
0.0ms
x
@inf
(/ -2 (pow x 2))
0.0ms
x
@-inf
(* x (- -1/2 (/ -2 (pow x 2))))

rewrite83.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
1070×unpow-prod-down
598×log1p-expm1-u
598×expm1-log1p-u
596×log-prod
512×pow1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01247
113147
2169443
Stop Event
1×node limit
Counts
2 → 81
Calls
Call 1
Inputs
(*.f64 x (-.f64 -1/2 (/.f64 -2 (pow.f64 x 2))))
(/.f64 -2 (pow.f64 x 2))
Outputs
(+.f64 0 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2)))
(+.f64 (*.f64 x -1/2) (*.f64 x (*.f64 2 (pow.f64 x -2))))
(+.f64 (*.f64 -1/2 x) (*.f64 (*.f64 2 (pow.f64 x -2)) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 2 (pow.f64 x -2) -1/2)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 2 (pow.f64 x -2) -1/2)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 2 (pow.f64 x -2) -1/2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 2 (pow.f64 x -2) -1/2)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2)))) 1)
(/.f64 (*.f64 x (-.f64 -1/8 (*.f64 -8 (pow.f64 x -6)))) (+.f64 1/4 (fma.f64 4 (pow.f64 x -4) (pow.f64 x -2))))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 4 (pow.f64 x -4)))) (fma.f64 -2 (pow.f64 x -2) -1/2))
(/.f64 (*.f64 (-.f64 -1/8 (*.f64 -8 (pow.f64 x -6))) x) (+.f64 1/4 (fma.f64 4 (pow.f64 x -4) (pow.f64 x -2))))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 4 (pow.f64 x -4))) x) (fma.f64 -2 (pow.f64 x -2) -1/2))
(pow.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 2 (pow.f64 x -2) -1/2)) x))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2))) 1) 1))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) -1/2)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (fma.f64 2 (pow.f64 x -2) -1/2))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) -1/2)) 1)))
(exp.f64 (+.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) -1/2)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) -1/2)) 1) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) -1/2)) 1) (*.f64 (log.f64 x) 1)))
(fma.f64 x -1/2 (*.f64 x (*.f64 2 (pow.f64 x -2))))
(fma.f64 -1/2 x (*.f64 (*.f64 2 (pow.f64 x -2)) x))
(+.f64 0 (*.f64 -2 (pow.f64 x -2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -2)))) 1)
(*.f64 -2 (pow.f64 x -2))
(*.f64 2 (/.f64 1 (neg.f64 (pow.f64 x 2))))
(*.f64 (*.f64 -2 (pow.f64 x -2)) 1)
(*.f64 (*.f64 -2 (pow.f64 x -2)) (log.f64 (exp.f64 1)))
(*.f64 1 (*.f64 -2 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) (cbrt.f64 (*.f64 4 (pow.f64 x -4))))
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 x -4))) (cbrt.f64 (*.f64 -2 (pow.f64 x -2))))
(*.f64 (/.f64 (sqrt.f64 -2) x) (/.f64 (sqrt.f64 -2) x))
(*.f64 (pow.f64 x -2) -2)
(*.f64 (pow.f64 x -2) (log.f64 (exp.f64 -2)))
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 x -2) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) -2) -1))
(*.f64 (pow.f64 1 1/3) (*.f64 -2 (pow.f64 x -2)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2)))) 3))
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (pow.f64 x -2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2)))) 2) 3) (cbrt.f64 (*.f64 -2 (pow.f64 x -2))))
(*.f64 (pow.f64 -8 1/3) (pow.f64 x -2))
(*.f64 (pow.f64 (*.f64 (*.f64 4 (pow.f64 x -4)) -2) 1/3) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (pow.f64 (*.f64 (*.f64 4 (pow.f64 x -4)) (cbrt.f64 (*.f64 4 (pow.f64 x -4)))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 5/2) 1/3) (cbrt.f64 (/.f64 (sqrt.f64 -2) x)))
(*.f64 (pow.f64 (sqrt.f64 -2) 2) (pow.f64 x -2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) -1/2)) 2) -1) (cbrt.f64 (*.f64 -2 (pow.f64 x -2))))
(pow.f64 (*.f64 -2 (pow.f64 x -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) 3)
(pow.f64 (*.f64 4 (pow.f64 x -4)) 1/2)
(pow.f64 (*.f64 -8 (pow.f64 x -6)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 -2) x) 2)
(pow.f64 (*.f64 (pow.f64 x 2) -1/2) -1)
(pow.f64 (/.f64 (*.f64 (pow.f64 x 2) -1/2) 1) -1)
(neg.f64 (*.f64 2 (pow.f64 x -2)))
(sqrt.f64 (*.f64 4 (pow.f64 x -4)))
(log.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))
(cbrt.f64 (*.f64 -8 (pow.f64 x -6)))
(expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2)))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 -8 (pow.f64 x -6))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 -2) x)) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 2) -1/2)) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))) 3) 1/3))

simplify74.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
1822×fma-define
1444×distribute-lft-in
1320×distribute-rgt-in
572×*-commutative
484×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02352656
14502638
28892610
324662250
Stop Event
1×node limit
Counts
93 → 116
Calls
Call 1
Inputs
(/.f64 2 x)
(/.f64 (+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) x)
(/.f64 (+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) x)
(/.f64 (+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) x)
(*.f64 -1/2 x)
(*.f64 x (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1/2))
(*.f64 x (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1/2))
(*.f64 x (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1/2))
(*.f64 -1/2 x)
(*.f64 -1 (*.f64 x (-.f64 1/2 (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(*.f64 -1 (*.f64 x (-.f64 1/2 (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(*.f64 -1 (*.f64 x (-.f64 1/2 (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 0 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2)))
(+.f64 (*.f64 x -1/2) (*.f64 x (*.f64 2 (pow.f64 x -2))))
(+.f64 (*.f64 -1/2 x) (*.f64 (*.f64 2 (pow.f64 x -2)) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 2 (pow.f64 x -2) -1/2)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 2 (pow.f64 x -2) -1/2)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 2 (pow.f64 x -2) -1/2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 2 (pow.f64 x -2) -1/2)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2)))) 1)
(/.f64 (*.f64 x (-.f64 -1/8 (*.f64 -8 (pow.f64 x -6)))) (+.f64 1/4 (fma.f64 4 (pow.f64 x -4) (pow.f64 x -2))))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 4 (pow.f64 x -4)))) (fma.f64 -2 (pow.f64 x -2) -1/2))
(/.f64 (*.f64 (-.f64 -1/8 (*.f64 -8 (pow.f64 x -6))) x) (+.f64 1/4 (fma.f64 4 (pow.f64 x -4) (pow.f64 x -2))))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 4 (pow.f64 x -4))) x) (fma.f64 -2 (pow.f64 x -2) -1/2))
(pow.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 2 (pow.f64 x -2) -1/2)) x))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2))) 1) 1))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) -1/2)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (fma.f64 2 (pow.f64 x -2) -1/2))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) -1/2)) 1)))
(exp.f64 (+.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) -1/2)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) -1/2)) 1) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) -1/2)) 1) (*.f64 (log.f64 x) 1)))
(fma.f64 x -1/2 (*.f64 x (*.f64 2 (pow.f64 x -2))))
(fma.f64 -1/2 x (*.f64 (*.f64 2 (pow.f64 x -2)) x))
(+.f64 0 (*.f64 -2 (pow.f64 x -2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -2)))) 1)
(*.f64 -2 (pow.f64 x -2))
(*.f64 2 (/.f64 1 (neg.f64 (pow.f64 x 2))))
(*.f64 (*.f64 -2 (pow.f64 x -2)) 1)
(*.f64 (*.f64 -2 (pow.f64 x -2)) (log.f64 (exp.f64 1)))
(*.f64 1 (*.f64 -2 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) (cbrt.f64 (*.f64 4 (pow.f64 x -4))))
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 x -4))) (cbrt.f64 (*.f64 -2 (pow.f64 x -2))))
(*.f64 (/.f64 (sqrt.f64 -2) x) (/.f64 (sqrt.f64 -2) x))
(*.f64 (pow.f64 x -2) -2)
(*.f64 (pow.f64 x -2) (log.f64 (exp.f64 -2)))
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 x -2) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) -2) -1))
(*.f64 (pow.f64 1 1/3) (*.f64 -2 (pow.f64 x -2)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2)))) 3))
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (pow.f64 x -2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2)))) 2) 3) (cbrt.f64 (*.f64 -2 (pow.f64 x -2))))
(*.f64 (pow.f64 -8 1/3) (pow.f64 x -2))
(*.f64 (pow.f64 (*.f64 (*.f64 4 (pow.f64 x -4)) -2) 1/3) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (pow.f64 (*.f64 (*.f64 4 (pow.f64 x -4)) (cbrt.f64 (*.f64 4 (pow.f64 x -4)))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 5/2) 1/3) (cbrt.f64 (/.f64 (sqrt.f64 -2) x)))
(*.f64 (pow.f64 (sqrt.f64 -2) 2) (pow.f64 x -2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) -1/2)) 2) -1) (cbrt.f64 (*.f64 -2 (pow.f64 x -2))))
(pow.f64 (*.f64 -2 (pow.f64 x -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) 3)
(pow.f64 (*.f64 4 (pow.f64 x -4)) 1/2)
(pow.f64 (*.f64 -8 (pow.f64 x -6)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 -2) x) 2)
(pow.f64 (*.f64 (pow.f64 x 2) -1/2) -1)
(pow.f64 (/.f64 (*.f64 (pow.f64 x 2) -1/2) 1) -1)
(neg.f64 (*.f64 2 (pow.f64 x -2)))
(sqrt.f64 (*.f64 4 (pow.f64 x -4)))
(log.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))
(cbrt.f64 (*.f64 -8 (pow.f64 x -6)))
(expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2)))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 -8 (pow.f64 x -6))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 -2) x)) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 2) -1/2)) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))) 3) 1/3))
Outputs
(/.f64 2 x)
(/.f64 (+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) x)
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(/.f64 (+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) x)
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(/.f64 (+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) x)
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(*.f64 x (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1/2))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 x (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1/2))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 x (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1/2))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(*.f64 -1 (*.f64 x (-.f64 1/2 (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 -1 (*.f64 x (-.f64 1/2 (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 -1 (*.f64 x (-.f64 1/2 (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 0 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2)))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 x -1/2) (*.f64 x (*.f64 2 (pow.f64 x -2))))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/2 x) (*.f64 (*.f64 2 (pow.f64 x -2)) x))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 2 (pow.f64 x -2) -1/2)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 2 (pow.f64 x -2) -1/2)) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 2 (pow.f64 x -2) -1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 2 (pow.f64 x -2) -1/2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 2 (pow.f64 x -2) -1/2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 2 (pow.f64 x -2) -1/2)) x))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 2 (pow.f64 x -2) -1/2)) x))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 2 (pow.f64 x -2) -1/2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2)))) 1)
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(/.f64 (*.f64 x (-.f64 -1/8 (*.f64 -8 (pow.f64 x -6)))) (+.f64 1/4 (fma.f64 4 (pow.f64 x -4) (pow.f64 x -2))))
(*.f64 x (/.f64 (+.f64 -1/8 (*.f64 8 (pow.f64 x -6))) (+.f64 1/4 (fma.f64 4 (pow.f64 x -4) (pow.f64 x -2)))))
(*.f64 x (/.f64 (+.f64 -1/8 (*.f64 (pow.f64 x -6) 8)) (+.f64 1/4 (fma.f64 4 (pow.f64 x -4) (pow.f64 x -2)))))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x -6) 8 -1/8) (+.f64 1/4 (fma.f64 4 (pow.f64 x -4) (pow.f64 x -2)))))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x -6) 8 -1/8) (+.f64 (pow.f64 x -2) (fma.f64 4 (pow.f64 x -4) 1/4))))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 4 (pow.f64 x -4)))) (fma.f64 -2 (pow.f64 x -2) -1/2))
(*.f64 (-.f64 1/4 (*.f64 4 (pow.f64 x -4))) (/.f64 x (fma.f64 -2 (pow.f64 x -2) -1/2)))
(*.f64 (fma.f64 -4 (pow.f64 x -4) 1/4) (/.f64 x (fma.f64 -2 (pow.f64 x -2) -1/2)))
(*.f64 x (/.f64 (fma.f64 -4 (pow.f64 x -4) 1/4) (fma.f64 -2 (pow.f64 x -2) -1/2)))
(/.f64 (*.f64 (-.f64 -1/8 (*.f64 -8 (pow.f64 x -6))) x) (+.f64 1/4 (fma.f64 4 (pow.f64 x -4) (pow.f64 x -2))))
(*.f64 x (/.f64 (+.f64 -1/8 (*.f64 8 (pow.f64 x -6))) (+.f64 1/4 (fma.f64 4 (pow.f64 x -4) (pow.f64 x -2)))))
(*.f64 x (/.f64 (+.f64 -1/8 (*.f64 (pow.f64 x -6) 8)) (+.f64 1/4 (fma.f64 4 (pow.f64 x -4) (pow.f64 x -2)))))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x -6) 8 -1/8) (+.f64 1/4 (fma.f64 4 (pow.f64 x -4) (pow.f64 x -2)))))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x -6) 8 -1/8) (+.f64 (pow.f64 x -2) (fma.f64 4 (pow.f64 x -4) 1/4))))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 4 (pow.f64 x -4))) x) (fma.f64 -2 (pow.f64 x -2) -1/2))
(*.f64 (-.f64 1/4 (*.f64 4 (pow.f64 x -4))) (/.f64 x (fma.f64 -2 (pow.f64 x -2) -1/2)))
(*.f64 (fma.f64 -4 (pow.f64 x -4) 1/4) (/.f64 x (fma.f64 -2 (pow.f64 x -2) -1/2)))
(*.f64 x (/.f64 (fma.f64 -4 (pow.f64 x -4) 1/4) (fma.f64 -2 (pow.f64 x -2) -1/2)))
(pow.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2)) 1)
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2))) 3)
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2)) 2) 1/2)
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2)) 3) 1/3)
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2))) 2)
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2)) 2))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(log.f64 (pow.f64 (exp.f64 (fma.f64 2 (pow.f64 x -2) -1/2)) x))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2)) 3))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2))))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2))))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(exp.f64 (log.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2))))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2))) 1))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2)))) 3))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2)))) 1/3))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2)))) 2))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 2 (pow.f64 x -2) -1/2))) 1) 1))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) -1/2)) 1)))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (fma.f64 2 (pow.f64 x -2) -1/2))))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) -1/2)) 1)))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(exp.f64 (+.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) -1/2)) (*.f64 (log.f64 x) 1)))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) -1/2)) 1) (log.f64 x)))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) -1/2)) 1) (*.f64 (log.f64 x) 1)))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 x -1/2 (*.f64 x (*.f64 2 (pow.f64 x -2))))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 -1/2 x (*.f64 (*.f64 2 (pow.f64 x -2)) x))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 0 (*.f64 -2 (pow.f64 x -2)))
(*.f64 -2 (pow.f64 x -2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))))
(*.f64 2 (log.f64 (fabs.f64 (exp.f64 (neg.f64 (pow.f64 x -2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -2)))) 1)
(*.f64 -2 (pow.f64 x -2))
(*.f64 -2 (pow.f64 x -2))
(*.f64 2 (/.f64 1 (neg.f64 (pow.f64 x 2))))
(*.f64 -2 (pow.f64 x -2))
(*.f64 (*.f64 -2 (pow.f64 x -2)) 1)
(*.f64 -2 (pow.f64 x -2))
(*.f64 (*.f64 -2 (pow.f64 x -2)) (log.f64 (exp.f64 1)))
(*.f64 -2 (pow.f64 x -2))
(*.f64 1 (*.f64 -2 (pow.f64 x -2)))
(*.f64 -2 (pow.f64 x -2))
(*.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) (cbrt.f64 (*.f64 4 (pow.f64 x -4))))
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 x -4))) (cbrt.f64 (*.f64 -2 (pow.f64 x -2))))
(*.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) (cbrt.f64 (*.f64 4 (pow.f64 x -4))))
(*.f64 (/.f64 (sqrt.f64 -2) x) (/.f64 (sqrt.f64 -2) x))
(*.f64 -2 (pow.f64 x -2))
(*.f64 (pow.f64 x -2) -2)
(*.f64 -2 (pow.f64 x -2))
(*.f64 (pow.f64 x -2) (log.f64 (exp.f64 -2)))
(*.f64 -2 (pow.f64 x -2))
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 x -2) -1))
(*.f64 -2 (pow.f64 x -2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) -2) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2) (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 x) 2) -2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2) (/.f64 -2 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 -2 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 1 1/3) (*.f64 -2 (pow.f64 x -2)))
(*.f64 -2 (pow.f64 x -2))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2)))) 3))
(*.f64 -2 (pow.f64 x -2))
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (pow.f64 x -2))
(*.f64 -2 (pow.f64 x -2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2)))) 2) 3) (cbrt.f64 (*.f64 -2 (pow.f64 x -2))))
(*.f64 -2 (pow.f64 x -2))
(*.f64 (pow.f64 -8 1/3) (pow.f64 x -2))
(*.f64 (pow.f64 x -2) (cbrt.f64 -8))
(*.f64 (pow.f64 (*.f64 (*.f64 4 (pow.f64 x -4)) -2) 1/3) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (*.f64 -2 (*.f64 4 (pow.f64 x -4)))) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (*.f64 -8 (pow.f64 x -4))) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (pow.f64 (*.f64 (*.f64 4 (pow.f64 x -4)) (cbrt.f64 (*.f64 4 (pow.f64 x -4)))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2)))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2)))) (cbrt.f64 (*.f64 (*.f64 4 (pow.f64 x -4)) (cbrt.f64 (*.f64 4 (pow.f64 x -4))))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (*.f64 4 (cbrt.f64 (*.f64 4 (pow.f64 x -4)))))))
(*.f64 (pow.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 5/2) 1/3) (cbrt.f64 (/.f64 (sqrt.f64 -2) x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 5/2)) (cbrt.f64 (/.f64 (sqrt.f64 -2) x)))
(*.f64 (pow.f64 (sqrt.f64 -2) 2) (pow.f64 x -2))
(*.f64 -2 (pow.f64 x -2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) -1/2)) 2) -1) (cbrt.f64 (*.f64 -2 (pow.f64 x -2))))
(*.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) 2)))
(/.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) 2))
(pow.f64 (*.f64 -2 (pow.f64 x -2)) 1)
(*.f64 -2 (pow.f64 x -2))
(pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) 3)
(*.f64 -2 (pow.f64 x -2))
(pow.f64 (*.f64 4 (pow.f64 x -4)) 1/2)
(sqrt.f64 (*.f64 4 (pow.f64 x -4)))
(pow.f64 (*.f64 -8 (pow.f64 x -6)) 1/3)
(cbrt.f64 (*.f64 -8 (pow.f64 x -6)))
(pow.f64 (/.f64 (sqrt.f64 -2) x) 2)
(*.f64 -2 (pow.f64 x -2))
(pow.f64 (*.f64 (pow.f64 x 2) -1/2) -1)
(*.f64 -2 (pow.f64 x -2))
(pow.f64 (/.f64 (*.f64 (pow.f64 x 2) -1/2) 1) -1)
(*.f64 -2 (pow.f64 x -2))
(neg.f64 (*.f64 2 (pow.f64 x -2)))
(*.f64 -2 (pow.f64 x -2))
(sqrt.f64 (*.f64 4 (pow.f64 x -4)))
(log.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))
(*.f64 -2 (pow.f64 x -2))
(cbrt.f64 (*.f64 -8 (pow.f64 x -6)))
(expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -2))))
(*.f64 -2 (pow.f64 x -2))
(log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x -2))))
(*.f64 -2 (pow.f64 x -2))
(exp.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))))
(*.f64 -2 (pow.f64 x -2))
(exp.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))) 1))
(*.f64 -2 (pow.f64 x -2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2)))) 3))
(*.f64 -2 (pow.f64 x -2))
(exp.f64 (*.f64 (log.f64 (*.f64 -8 (pow.f64 x -6))) 1/3))
(cbrt.f64 (*.f64 -8 (pow.f64 x -6)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 -2) x)) 2))
(*.f64 -2 (pow.f64 x -2))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 2) -1/2)) -1))
(*.f64 -2 (pow.f64 x -2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))) 1) 1))
(*.f64 -2 (pow.f64 x -2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))) 3) 1/3))
(*.f64 -2 (pow.f64 x -2))

eval42.0ms (1.1%)

Compiler

Compiled 1726 to 1428 computations (17.3% saved)

prune16.0ms (0.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1151116
Fresh000
Picked101
Done033
Total1164120
Accuracy
100.0%
Counts
120 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.6%
(-.f64 (log.f64 2) (log.f64 x))
▶99.6%
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
✓98.9%
(log.f64 (/.f64 2 x))
✓100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Compiler

Compiled 33 to 25 computations (24.2% saved)

localize53.0ms (1.4%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(fma.f64 x -1/2 (/.f64 2 x))
Compiler

Compiled 21 to 15 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
Operation ival-div, time spent: 9.0ms, 30.0% of total-time
Operation composed, time spent: 8.0ms, 27.0% of total-time
Operation ival-log, time spent: 5.0ms, 17.0% of total-time
Operation ival-mult, time spent: 4.0ms, 13.0% of total-time
Operation ival-add, time spent: 3.0ms, 10.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

series2.0ms (0%)

Counts
1 → 12
Calls
Call 1
Inputs
#<alt (fma.f64 x -1/2 (/.f64 2 x))>
Outputs
#<alt (/.f64 2 x)>
#<alt (/.f64 (+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) x)>
#<alt (/.f64 (+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) x)>
#<alt (/.f64 (+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) x)>
#<alt (*.f64 -1/2 x)>
#<alt (*.f64 x (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1/2))>
#<alt (*.f64 x (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1/2))>
#<alt (*.f64 x (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1/2))>
#<alt (*.f64 -1/2 x)>
#<alt (*.f64 -1 (*.f64 x (-.f64 1/2 (*.f64 2 (/.f64 1 (pow.f64 x 2))))))>
#<alt (*.f64 -1 (*.f64 x (-.f64 1/2 (*.f64 2 (/.f64 1 (pow.f64 x 2))))))>
#<alt (*.f64 -1 (*.f64 x (-.f64 1/2 (*.f64 2 (/.f64 1 (pow.f64 x 2))))))>
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+ (* x -1/2) (/ 2 x))
0.0ms
x
@inf
(+ (* x -1/2) (/ 2 x))
0.0ms
x
@-inf
(+ (* x -1/2) (/ 2 x))

rewrite65.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
490×unpow-prod-down
336×cbrt-prod
330×log-prod
326×log1p-expm1-u
326×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
17621
289221
Stop Event
1×node limit
Counts
1 → 42
Calls
Call 1
Inputs
(fma.f64 x -1/2 (/.f64 2 x))
Outputs
(+.f64 (/.f64 2 x) (*.f64 x -1/2))
(+.f64 (*.f64 x -1/2) (/.f64 2 x))
(+.f64 0 (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 (*.f64 (*.f64 x -1/2) 1) (/.f64 2 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(-.f64 (+.f64 1 (fma.f64 x -1/2 (/.f64 2 x))) 1)
(*.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1)
(*.f64 (fma.f64 x -1/2 (/.f64 2 x)) (log.f64 (E.f64)))
(*.f64 1 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2))
(*.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(*.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(*.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1/4) (sqrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3/2)))
(*.f64 (pow.f64 1 1/3) (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x -1/2 (/.f64 2 x)) (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 5/2) 1/3) (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x -1/2 (/.f64 2 x)) (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 5/2)) (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3/2)) (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 4)) (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 5)) (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1/6))
(/.f64 (-.f64 (pow.f64 (*.f64 x -1/2) 2) (/.f64 4 (pow.f64 x 2))) (-.f64 (*.f64 x -1/2) (/.f64 2 x)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/8) (/.f64 8 (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 x -1/2) 2) (-.f64 (/.f64 4 (pow.f64 x 2)) (*.f64 (*.f64 x -1/2) (/.f64 2 x)))))
(pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2)
(pow.f64 (E.f64) (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(sqrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 2))
(log.f64 (exp.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(cbrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(log1p.f64 (expm1.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(exp.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2))

simplify84.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
1552×fma-neg
940×prod-exp
748×associate-+r+
708×associate-/r*
700×associate-+l+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01382145
12342081
26472045
326701695
464551695
Stop Event
1×node limit
Counts
54 → 61
Calls
Call 1
Inputs
(/.f64 2 x)
(/.f64 (+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) x)
(/.f64 (+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) x)
(/.f64 (+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) x)
(*.f64 -1/2 x)
(*.f64 x (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1/2))
(*.f64 x (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1/2))
(*.f64 x (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1/2))
(*.f64 -1/2 x)
(*.f64 -1 (*.f64 x (-.f64 1/2 (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(*.f64 -1 (*.f64 x (-.f64 1/2 (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(*.f64 -1 (*.f64 x (-.f64 1/2 (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (/.f64 2 x) (*.f64 x -1/2))
(+.f64 (*.f64 x -1/2) (/.f64 2 x))
(+.f64 0 (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 (*.f64 (*.f64 x -1/2) 1) (/.f64 2 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(-.f64 (+.f64 1 (fma.f64 x -1/2 (/.f64 2 x))) 1)
(*.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1)
(*.f64 (fma.f64 x -1/2 (/.f64 2 x)) (log.f64 (E.f64)))
(*.f64 1 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2))
(*.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(*.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(*.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1/4) (sqrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3/2)))
(*.f64 (pow.f64 1 1/3) (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x -1/2 (/.f64 2 x)) (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 5/2) 1/3) (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x -1/2 (/.f64 2 x)) (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 5/2)) (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3/2)) (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 4)) (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 5)) (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1/6))
(/.f64 (-.f64 (pow.f64 (*.f64 x -1/2) 2) (/.f64 4 (pow.f64 x 2))) (-.f64 (*.f64 x -1/2) (/.f64 2 x)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/8) (/.f64 8 (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 x -1/2) 2) (-.f64 (/.f64 4 (pow.f64 x 2)) (*.f64 (*.f64 x -1/2) (/.f64 2 x)))))
(pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2)
(pow.f64 (E.f64) (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(sqrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 2))
(log.f64 (exp.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(cbrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(log1p.f64 (expm1.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(exp.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2))
Outputs
(/.f64 2 x)
(/.f64 (+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) x)
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(/.f64 (+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) x)
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(/.f64 (+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) x)
(/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) x)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(*.f64 x (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1/2))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 x (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1/2))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 x (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1/2))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(*.f64 -1 (*.f64 x (-.f64 1/2 (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 -1 (*.f64 x (-.f64 1/2 (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 -1 (*.f64 x (-.f64 1/2 (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (/.f64 2 x) (*.f64 x -1/2))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 x -1/2) (/.f64 2 x))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 0 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 (*.f64 x -1/2) 1) (/.f64 2 x))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(-.f64 (+.f64 1 (fma.f64 x -1/2 (/.f64 2 x))) 1)
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1)
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 (fma.f64 x -1/2 (/.f64 2 x)) (log.f64 (E.f64)))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 1 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 4)))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1/4) (sqrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3/2)))
(*.f64 (pow.f64 1 1/3) (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x -1/2 (/.f64 2 x)) (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x -1/2 (/.f64 2 x)) (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 8)) (cbrt.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 5/2) 1/3) (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 5/2)) (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x -1/2 (/.f64 2 x)) (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 8)) (cbrt.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 5/2)) (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3/2)) (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1/4))
(*.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1/4) (sqrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3/2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 4)) (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 5)) (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1/6))
(*.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 5)))
(/.f64 (-.f64 (pow.f64 (*.f64 x -1/2) 2) (/.f64 4 (pow.f64 x 2))) (-.f64 (*.f64 x -1/2) (/.f64 2 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x -1/2) 2) (/.f64 -4 (pow.f64 x 2))) (fma.f64 x -1/2 (/.f64 -2 x)))
(/.f64 (fma.f64 (pow.f64 x 2) 1/4 (/.f64 -4 (pow.f64 x 2))) (fma.f64 x -1/2 (/.f64 -2 x)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/8) (/.f64 8 (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 x -1/2) 2) (-.f64 (/.f64 4 (pow.f64 x 2)) (*.f64 (*.f64 x -1/2) (/.f64 2 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))) (-.f64 (+.f64 (pow.f64 (*.f64 x -1/2) 2) (/.f64 4 (pow.f64 x 2))) (*.f64 (/.f64 2 x) (*.f64 x -1/2))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 x -1/2) 2) (-.f64 (/.f64 4 (pow.f64 x 2)) (/.f64 (neg.f64 x) x))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3))) (+.f64 1 (fma.f64 (pow.f64 x 2) 1/4 (/.f64 4 (pow.f64 x 2)))))
(pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1)
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3)
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(pow.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 2) 1/2)
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(pow.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3) 1/3)
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(pow.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2)
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(pow.f64 (E.f64) (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(sqrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 2))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(log.f64 (exp.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(cbrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(expm1.f64 (log1p.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(log1p.f64 (expm1.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(exp.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 3))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 1/3))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2))
(*.f64 x (+.f64 (/.f64 2 (pow.f64 x 2)) -1/2))
(*.f64 x (+.f64 -1/2 (/.f64 2 (pow.f64 x 2))))
(fma.f64 x -1/2 (/.f64 2 x))

eval22.0ms (0.6%)

Compiler

Compiled 894 to 712 computations (20.4% saved)

prune10.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New60161
Fresh000
Picked101
Done123
Total62365
Accuracy
100.0%
Counts
65 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.9%
(log.f64 (/.f64 2 x))
99.6%
(log.f64 (+.f64 (/.f64 2 x) (*.f64 x -1/2)))
✓100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Compiler

Compiled 86 to 65 computations (24.4% saved)

regimes26.0ms (0.7%)

Counts
7 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 2 x))
(log.f64 (+.f64 (/.f64 2 x) (*.f64 x -1/2)))
(-.f64 (log.f64 2) (log.f64 x))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(log.f64 (*.f64 x (-.f64 -1/2 (/.f64 -2 (pow.f64 x 2)))))
(log.f64 (/.f64 (+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) x))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Calls

3 calls:

11.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
5.0ms
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
4.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
100.0%1(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
Compiler

Compiled 29 to 20 computations (31% saved)

regimes5.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 2 x))
(log.f64 (+.f64 (/.f64 2 x) (*.f64 x -1/2)))
(-.f64 (log.f64 2) (log.f64 x))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(log.f64 (*.f64 x (-.f64 -1/2 (/.f64 -2 (pow.f64 x 2)))))
(log.f64 (/.f64 (+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) x))
Outputs
(log.f64 (+.f64 (/.f64 2 x) (*.f64 x -1/2)))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 2 x))
Outputs
(log.f64 (/.f64 2 x))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
98.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
10×+-commutative
6×sub-neg
6×*-commutative
4×neg-sub0
4×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02194
13494
24194
34594
44794
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (/.f64 2 x) (*.f64 x -1/2)))
(log.f64 (/.f64 2 x))
Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (/.f64 2 x) (*.f64 x -1/2)))
(log.f64 (/.f64 2 x))
Compiler

Compiled 28 to 21 computations (25% saved)

soundness334.0ms (8.7%)

Rules
1822×fma-define
1444×distribute-lft-in
1400×fma-neg
1320×distribute-rgt-in
684×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02504805
15484368
213853381
349923373
02352656
14502638
28892610
324662250
01021
17621
289221
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 452 to 353 computations (21.9% saved)

end0.0ms (0%)

preprocess46.0ms (1.2%)

Compiler

Compiled 80 to 58 computations (27.5% saved)

Profiling

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