Hyperbolic arc-(co)secant

Time bar (total: 4.2s)

analyze4.0ms (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: 3.0ms
Operation ival-log, time spent: 1.0ms, 39.0% of total-time
Operation ival-div, time spent: 1.0ms, 39.0% of total-time
Operation ival-sqrt, time spent: 1.0ms, 39.0% of total-time
Operation ival-add, time spent: 0.0ms, 0.0% of total-time
Operation ival-sub, 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

sample1.4s (32.5%)

Results
1.3s8255×256valid
2.0ms15×256invalid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 644.0ms
Operation ival-log, time spent: 193.0ms, 30.0% of total-time
Operation ival-div, time spent: 149.0ms, 23.0% of total-time
Operation ival-sqrt, time spent: 117.0ms, 18.0% of total-time
Operation ival-mult, time spent: 65.0ms, 10.0% of total-time
Operation ival-sub, time spent: 57.0ms, 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

preprocess440.0ms (10.6%)

Algorithm
1×egg-herbie
Rules
1658×fma-def
1232×sub-neg
1138×distribute-lft-out
866×associate-+r+
724×*-commutative
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(sqrt.f64 (-.f64 1 (*.f64 x x)))
00-0-x
00-0-(-.f64 1 (*.f64 x x))
00-0-(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
00-0-(*.f64 x x)
00-0-(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
00-0-(/.f64 1 x)
00-0-1
00-0-(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023224
147216
271216
3130216
4188216
5273216
6406216
7691216
81312216
92187216
104862216
116573216
127342216
137640216
147696216
157728216
167975216
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 (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))))
(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))) (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)))))
(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))) (neg.f64 x)))))
Compiler

Compiled 122 to 70 computations (42.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
Operation ival-sqrt, time spent: 27.0ms, 29.0% of total-time
Operation ival-div, time spent: 25.0ms, 27.0% of total-time
Operation ival-sub, time spent: 14.0ms, 15.0% of total-time
Operation ival-log, time spent: 11.0ms, 12.0% of total-time
Operation ival-mult, time spent: 6.0ms, 7.0% of total-time
Operation ival-add, time spent: 5.0ms, 5.0% of total-time
Operation const, time spent: 3.0ms, 3.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% 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)

localize83.0ms (2%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓100.0%
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
✓100.0%
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
✓100.0%
(sqrt.f64 (-.f64 1 (*.f64 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-sqrt, time spent: 13.0ms, 31.0% of total-time
Operation ival-div, time spent: 11.0ms, 26.0% of total-time
Operation ival-sub, time spent: 7.0ms, 16.0% of total-time
Operation ival-log, time spent: 6.0ms, 14.0% of total-time
Operation const, time spent: 2.0ms, 5.0% of total-time
Operation ival-add, time spent: 2.0ms, 5.0% of total-time
Operation ival-mult, time spent: 2.0ms, 5.0% of total-time

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(sqrt.f64 (-.f64 1 (*.f64 x x)))
1.0ms
x
@-inf
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
0.0ms
x
@inf
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
0.0ms
x
@-inf
(sqrt.f64 (-.f64 1 (*.f64 x x)))
0.0ms
x
@inf
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)

rewrite226.0ms (5.4%)

Algorithm
1×batch-egg-rewrite
Rules
971×log1p-expm1-u
971×expm1-log1p-u
864×log-prod
830×fma-def
324×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01393
118990
2275990
Stop Event
1×node limit
Counts
3 → 148
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
Outputs
(+.f64 0 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(-.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))))
(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))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(-.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 (+.f64 (pow.f64 x -2) (*.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 (+.f64 (pow.f64 x -2) (*.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 (+.f64 (pow.f64 x -2) (*.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 (+.f64 (pow.f64 x -2) (*.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 (-.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)) (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)
(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)))))))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 1))
(log1p.f64 (expm1.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 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 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 (/.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)))) (/.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) (/.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 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))) 1)
(*.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (pow.f64 x 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) 1)
(*.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 (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 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (/.f64 1 x)))
(*.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 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 x)))
(*.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 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
(*.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 (/.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 (/.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 (/.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 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) 2)
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) -1)
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (neg.f64 x)))
(sqrt.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))

simplify129.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
690×cancel-sign-sub-inv
538×div-sub
530×fma-def
468×fma-neg
466×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04208990
110548455
240278350
Stop Event
1×node limit
Counts
184 → 291
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/16 (pow.f64 x 6)))))
(*.f64 x (sqrt.f64 -1))
(+.f64 (*.f64 x (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 x (sqrt.f64 -1))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 x (sqrt.f64 -1)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(*.f64 -1 (*.f64 x (sqrt.f64 -1)))
(-.f64 (*.f64 -1 (*.f64 x (sqrt.f64 -1))) (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 x (sqrt.f64 -1))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 x (sqrt.f64 -1))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1))))))
(/.f64 2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/16 (pow.f64 x 5)) (*.f64 2 (/.f64 1 x)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 x)))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 x))) (*.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 (*.f64 -1 (sqrt.f64 -1)) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (+.f64 (*.f64 -1 (sqrt.f64 -1)) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/16 (pow.f64 x 5)) (/.f64 1 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (+.f64 (sqrt.f64 -1) (*.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 (sqrt.f64 -1) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (*.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 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 0 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(-.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))))
(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))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(-.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 (+.f64 (pow.f64 x -2) (*.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 (+.f64 (pow.f64 x -2) (*.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 (+.f64 (pow.f64 x -2) (*.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 (+.f64 (pow.f64 x -2) (*.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 (-.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)) (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)
(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)))))))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 1))
(log1p.f64 (expm1.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 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 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 (/.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)))) (/.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) (/.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 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))) 1)
(*.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (pow.f64 x 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) 1)
(*.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 (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 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (/.f64 1 x)))
(*.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 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 x)))
(*.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 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
(*.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 (/.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 (/.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 (/.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 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) 2)
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) -1)
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (neg.f64 x)))
(sqrt.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 2) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 2) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) (*.f64 -1/8 (pow.f64 x 4)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/16 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 -1/16 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 -1/16 (pow.f64 x 6))))
(*.f64 x (sqrt.f64 -1))
(+.f64 (*.f64 x (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 x (sqrt.f64 -1))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)) (/.f64 -1/8 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))))
(+.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x) (fma.f64 x (sqrt.f64 -1) (/.f64 -1/8 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 x (sqrt.f64 -1)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (/.f64 1/16 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(-.f64 (+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)) (/.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (pow.f64 x 5))) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 (sqrt.f64 -1))))
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 -1/8 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(*.f64 -1 (*.f64 x (sqrt.f64 -1)))
(*.f64 (neg.f64 x) (sqrt.f64 -1))
(*.f64 x (neg.f64 (sqrt.f64 -1)))
(-.f64 (*.f64 -1 (*.f64 x (sqrt.f64 -1))) (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (*.f64 (neg.f64 x) (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)))
(-.f64 (/.f64 -1/2 (*.f64 x (sqrt.f64 -1))) (*.f64 x (sqrt.f64 -1)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 x (sqrt.f64 -1))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (fma.f64 -1 (*.f64 x (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(-.f64 (-.f64 (/.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 (sqrt.f64 -1))) (*.f64 x (sqrt.f64 -1))) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x))
(-.f64 (/.f64 1/8 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 x (sqrt.f64 -1))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1))))))
(-.f64 (fma.f64 -1 (*.f64 x (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (/.f64 1/16 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))))
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(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)
(sqrt.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) 3))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) 1))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)

eval129.0ms (3.1%)

Compiler

Compiled 6095 to 4937 computations (19% saved)

prune39.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2892291
Fresh000
Picked011
Done000
Total2893292
Accuracy
100.0%
Counts
292 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.0%
(log.f64 (/.f64 2 x))
✓100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶99.6%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 30 to 23 computations (23.3% saved)

localize80.0ms (1.9%)

Localize:

Found 2 expressions with local error:

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

Compiled 45 to 34 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
Operation ival-log, time spent: 13.0ms, 32.0% of total-time
Operation ival-div, time spent: 12.0ms, 29.0% of total-time
Operation ival-mult, time spent: 11.0ms, 27.0% of total-time
Operation const, time spent: 3.0ms, 7.0% of total-time
Operation ival-add, time spent: 3.0ms, 7.0% of total-time

series48.0ms (1.2%)

Counts
2 → 15
Calls

6 calls:

TimeVariablePointExpression
26.0ms
x
@0
(log.f64 (/.f64 2 x))
16.0ms
x
@-inf
(log.f64 (/.f64 2 x))
6.0ms
x
@inf
(log.f64 (/.f64 2 x))
0.0ms
x
@0
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
0.0ms
x
@inf
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))

rewrite101.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
1190×unpow-prod-down
718×log-prod
714×log1p-expm1-u
714×expm1-log1p-u
640×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01535
117635
2204535
Stop Event
1×node limit
Counts
2 → 149
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 (*.f64 -1/2 x) (/.f64 2 x))) (/.f64 (/.f64 4 (pow.f64 x 2)) (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(*.f64 1 (fma.f64 -1/2 x (/.f64 2 x)))
(*.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(*.f64 (fma.f64 -1/2 x (/.f64 2 x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2) (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2))
(*.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(*.f64 (fma.f64 (pow.f64 x -3) 8 (*.f64 (pow.f64 x 3) -1/8)) (/.f64 1 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 (pow.f64 x 2) 1/4))))
(*.f64 (fma.f64 (pow.f64 x -3) 8 (*.f64 (pow.f64 x 3) -1/8)) (pow.f64 (/.f64 1 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 (pow.f64 x 2) 1/4))) 1))
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (/.f64 4 (pow.f64 x 2))) (/.f64 1 (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (/.f64 4 (pow.f64 x 2))) (pow.f64 (/.f64 1 (-.f64 (*.f64 -1/2 x) (/.f64 2 x))) 1))
(*.f64 (pow.f64 1 1/3) (fma.f64 -1/2 x (/.f64 2 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (cbrt.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3/2) 1/3) (pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 -1/2 x (/.f64 2 x)) (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2) 1/3) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1/3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2))
(/.f64 1 (/.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 (pow.f64 x 2) 1/4)) (fma.f64 (pow.f64 x -3) 8 (*.f64 (pow.f64 x 3) -1/8))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x)) (-.f64 (*.f64 (pow.f64 x 2) 1/4) (/.f64 4 (pow.f64 x 2)))))
(/.f64 (fma.f64 (pow.f64 x -3) 8 (*.f64 (pow.f64 x 3) -1/8)) (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 (pow.f64 x 2) 1/4)))
(/.f64 (fma.f64 (pow.f64 x -3) 8 (*.f64 (pow.f64 x 3) -1/8)) (fma.f64 (pow.f64 x -2) 4 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (*.f64 -1/2 x) (/.f64 2 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (/.f64 4 (pow.f64 x 2))) (-.f64 (*.f64 -1/2 x) (/.f64 2 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x -3) 8 (*.f64 (pow.f64 x 3) -1/8))) (neg.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 (pow.f64 x 2) 1/4))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (/.f64 4 (pow.f64 x 2)))) (neg.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(/.f64 (-.f64 (/.f64 4 (pow.f64 x 2)) (*.f64 (pow.f64 x 2) 1/4)) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)))
(pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)
(pow.f64 (/.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 (pow.f64 x 2) 1/4)) (fma.f64 (pow.f64 x -3) 8 (*.f64 (pow.f64 x 3) -1/8))) -1)
(pow.f64 (/.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x)) (-.f64 (*.f64 (pow.f64 x 2) 1/4) (/.f64 4 (pow.f64 x 2)))) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) -1/2) (+.f64 1 (expm1.f64 (/.f64 2 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 x))) (exp.f64 (/.f64 2 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 x))) (+.f64 1 (expm1.f64 (/.f64 2 x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 2 x)) (+.f64 1 (expm1.f64 (*.f64 -1/2 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (pow.f64 (exp.f64 x) -1/2)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (+.f64 1 (expm1.f64 (*.f64 -1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(exp.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (*.f64 -1/2 x) 1 (/.f64 2 x))
(fma.f64 2 (/.f64 1 x) (*.f64 -1/2 x))
(fma.f64 1 (*.f64 -1/2 x) (/.f64 2 x))
(fma.f64 1 (/.f64 2 x) (*.f64 -1/2 x))
(fma.f64 (/.f64 1 x) 2 (*.f64 -1/2 x))
(fma.f64 (/.f64 2 x) 1 (*.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (*.f64 (/.f64 1 (cbrt.f64 x)) 2) (*.f64 -1/2 x))
(fma.f64 (cbrt.f64 (/.f64 2 x)) (cbrt.f64 (/.f64 4 (pow.f64 x 2))) (*.f64 -1/2 x))
(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 2))) (cbrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(fma.f64 (cbrt.f64 (*.f64 -1/2 x)) (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (/.f64 2 x))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 (*.f64 -1/2 x)) (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/2) (/.f64 2 x))
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) 2) (*.f64 -1/2 x))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(fma.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (*.f64 -1/2 x)) (/.f64 2 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/2) (/.f64 2 x))
(fma.f64 -2 (/.f64 1 (neg.f64 x)) (*.f64 -1/2 x))
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 2 x))
(fma.f64 (*.f64 -1/2 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 2 x))
(fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 -1/2 x))
(fma.f64 (*.f64 2 (pow.f64 x -1/2)) (pow.f64 x -1/2) (*.f64 -1/2 x))
(+.f64 (log.f64 (/.f64 2 x)) 0)
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 0 (log.f64 (/.f64 2 x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) -2)) (log.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) 2)))
(+.f64 (*.f64 -1/2 (log.f64 x)) (log.f64 (*.f64 (pow.f64 x -1/2) 2)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 2)))) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 2 x))) (log.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 2)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 -2) (log.f64 (/.f64 1 (neg.f64 x))))
(+.f64 (log.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) -2))) (neg.f64 (log.f64 (cbrt.f64 x))))
(+.f64 (log.f64 (*.f64 2 (pow.f64 x -1/2))) (*.f64 -1/2 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 (log.f64 2) (log.f64 (neg.f64 (neg.f64 x))))
(-.f64 0 (log.f64 (*.f64 x 1/2)))
(-.f64 0 (log.f64 (/.f64 (*.f64 x 1/2) 1)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 2 x)))) 1)
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (*.f64 x 1/2))))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (/.f64 2 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(-.f64 (log.f64 (/.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 2 x))))
(*.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (log.f64 (/.f64 2 x)) 1)
(*.f64 (log.f64 (/.f64 2 x)) (log.f64 (exp.f64 1)))
(*.f64 -1 (log.f64 (*.f64 x 1/2)))
(*.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 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 2))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 2 x))))
(*.f64 1/3 (*.f64 3 (log.f64 (/.f64 2 x))))
(*.f64 (pow.f64 1 1/3) (log.f64 (/.f64 2 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3/2) 1/3) (pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (/.f64 2 x)) (cbrt.f64 (log.f64 (/.f64 2 x)))) 2) 1/3) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 1/3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 2))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 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)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(neg.f64 (log.f64 (*.f64 x 1/2)))
(neg.f64 (log.f64 (/.f64 (*.f64 x 1/2) 1)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 2))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(fma.f64 1 (log.f64 2) (neg.f64 (log.f64 x)))
(fma.f64 1 (neg.f64 (log.f64 x)) (log.f64 2))
(fma.f64 -1 (log.f64 x) (log.f64 2))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (log.f64 2))) (cbrt.f64 (log.f64 2)) (neg.f64 (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))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 (neg.f64 (log.f64 x))) (log.f64 2))

simplify94.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
1558×fma-def
792×log-prod
490×times-frac
442×sqr-pow
428×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03884684
19174523
228474326
Stop Event
1×node limit
Counts
164 → 183
Calls
Call 1
Inputs
(/.f64 2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 (*.f64 -1/2 x) (/.f64 2 x))) (/.f64 (/.f64 4 (pow.f64 x 2)) (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(*.f64 1 (fma.f64 -1/2 x (/.f64 2 x)))
(*.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(*.f64 (fma.f64 -1/2 x (/.f64 2 x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2) (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2))
(*.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(*.f64 (fma.f64 (pow.f64 x -3) 8 (*.f64 (pow.f64 x 3) -1/8)) (/.f64 1 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 (pow.f64 x 2) 1/4))))
(*.f64 (fma.f64 (pow.f64 x -3) 8 (*.f64 (pow.f64 x 3) -1/8)) (pow.f64 (/.f64 1 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 (pow.f64 x 2) 1/4))) 1))
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (/.f64 4 (pow.f64 x 2))) (/.f64 1 (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (/.f64 4 (pow.f64 x 2))) (pow.f64 (/.f64 1 (-.f64 (*.f64 -1/2 x) (/.f64 2 x))) 1))
(*.f64 (pow.f64 1 1/3) (fma.f64 -1/2 x (/.f64 2 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (cbrt.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3/2) 1/3) (pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 -1/2 x (/.f64 2 x)) (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2) 1/3) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1/3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2))
(/.f64 1 (/.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 (pow.f64 x 2) 1/4)) (fma.f64 (pow.f64 x -3) 8 (*.f64 (pow.f64 x 3) -1/8))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x)) (-.f64 (*.f64 (pow.f64 x 2) 1/4) (/.f64 4 (pow.f64 x 2)))))
(/.f64 (fma.f64 (pow.f64 x -3) 8 (*.f64 (pow.f64 x 3) -1/8)) (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 (pow.f64 x 2) 1/4)))
(/.f64 (fma.f64 (pow.f64 x -3) 8 (*.f64 (pow.f64 x 3) -1/8)) (fma.f64 (pow.f64 x -2) 4 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (*.f64 -1/2 x) (/.f64 2 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (/.f64 4 (pow.f64 x 2))) (-.f64 (*.f64 -1/2 x) (/.f64 2 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x -3) 8 (*.f64 (pow.f64 x 3) -1/8))) (neg.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 (pow.f64 x 2) 1/4))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (/.f64 4 (pow.f64 x 2)))) (neg.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(/.f64 (-.f64 (/.f64 4 (pow.f64 x 2)) (*.f64 (pow.f64 x 2) 1/4)) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)))
(pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)
(pow.f64 (/.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)) (*.f64 (pow.f64 x 2) 1/4)) (fma.f64 (pow.f64 x -3) 8 (*.f64 (pow.f64 x 3) -1/8))) -1)
(pow.f64 (/.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x)) (-.f64 (*.f64 (pow.f64 x 2) 1/4) (/.f64 4 (pow.f64 x 2)))) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) -1/2) (+.f64 1 (expm1.f64 (/.f64 2 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 x))) (exp.f64 (/.f64 2 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 x))) (+.f64 1 (expm1.f64 (/.f64 2 x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 2 x)) (+.f64 1 (expm1.f64 (*.f64 -1/2 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (pow.f64 (exp.f64 x) -1/2)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (+.f64 1 (expm1.f64 (*.f64 -1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(exp.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (*.f64 -1/2 x) 1 (/.f64 2 x))
(fma.f64 2 (/.f64 1 x) (*.f64 -1/2 x))
(fma.f64 1 (*.f64 -1/2 x) (/.f64 2 x))
(fma.f64 1 (/.f64 2 x) (*.f64 -1/2 x))
(fma.f64 (/.f64 1 x) 2 (*.f64 -1/2 x))
(fma.f64 (/.f64 2 x) 1 (*.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (*.f64 (/.f64 1 (cbrt.f64 x)) 2) (*.f64 -1/2 x))
(fma.f64 (cbrt.f64 (/.f64 2 x)) (cbrt.f64 (/.f64 4 (pow.f64 x 2))) (*.f64 -1/2 x))
(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 2))) (cbrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(fma.f64 (cbrt.f64 (*.f64 -1/2 x)) (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (/.f64 2 x))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 (*.f64 -1/2 x)) (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/2) (/.f64 2 x))
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) 2) (*.f64 -1/2 x))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(fma.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (*.f64 -1/2 x)) (/.f64 2 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/2) (/.f64 2 x))
(fma.f64 -2 (/.f64 1 (neg.f64 x)) (*.f64 -1/2 x))
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 2 x))
(fma.f64 (*.f64 -1/2 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 2 x))
(fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 -1/2 x))
(fma.f64 (*.f64 2 (pow.f64 x -1/2)) (pow.f64 x -1/2) (*.f64 -1/2 x))
(+.f64 (log.f64 (/.f64 2 x)) 0)
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 0 (log.f64 (/.f64 2 x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) -2)) (log.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) 2)))
(+.f64 (*.f64 -1/2 (log.f64 x)) (log.f64 (*.f64 (pow.f64 x -1/2) 2)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 2)))) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 2 x))) (log.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 2)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 -2) (log.f64 (/.f64 1 (neg.f64 x))))
(+.f64 (log.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) -2))) (neg.f64 (log.f64 (cbrt.f64 x))))
(+.f64 (log.f64 (*.f64 2 (pow.f64 x -1/2))) (*.f64 -1/2 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 (log.f64 2) (log.f64 (neg.f64 (neg.f64 x))))
(-.f64 0 (log.f64 (*.f64 x 1/2)))
(-.f64 0 (log.f64 (/.f64 (*.f64 x 1/2) 1)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 2 x)))) 1)
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (*.f64 x 1/2))))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (/.f64 2 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(-.f64 (log.f64 (/.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 2 x))))
(*.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (log.f64 (/.f64 2 x)) 1)
(*.f64 (log.f64 (/.f64 2 x)) (log.f64 (exp.f64 1)))
(*.f64 -1 (log.f64 (*.f64 x 1/2)))
(*.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 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 2))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 2 x))))
(*.f64 1/3 (*.f64 3 (log.f64 (/.f64 2 x))))
(*.f64 (pow.f64 1 1/3) (log.f64 (/.f64 2 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3/2) 1/3) (pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (/.f64 2 x)) (cbrt.f64 (log.f64 (/.f64 2 x)))) 2) 1/3) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 1/3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 2))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 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)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(neg.f64 (log.f64 (*.f64 x 1/2)))
(neg.f64 (log.f64 (/.f64 (*.f64 x 1/2) 1)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 2))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(fma.f64 1 (log.f64 2) (neg.f64 (log.f64 x)))
(fma.f64 1 (neg.f64 (log.f64 x)) (log.f64 2))
(fma.f64 -1 (log.f64 x) (log.f64 2))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (log.f64 2))) (cbrt.f64 (log.f64 2)) (neg.f64 (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))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 (neg.f64 (log.f64 x))) (log.f64 2))
Outputs
(/.f64 2 x)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
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(fma.f64 (pow.f64 (cbrt.f64 x) -2) (*.f64 (/.f64 1 (cbrt.f64 x)) 2) (*.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 2 (cbrt.f64 x)) (*.f64 x -1/2))
(fma.f64 x -1/2 (/.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) -2)) (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (/.f64 2 x)) (cbrt.f64 (/.f64 4 (pow.f64 x 2))) (*.f64 -1/2 x))
(fma.f64 (cbrt.f64 (/.f64 2 x)) (cbrt.f64 (/.f64 4 (pow.f64 x 2))) (*.f64 x -1/2))
(fma.f64 x -1/2 (*.f64 (cbrt.f64 (/.f64 2 x)) (cbrt.f64 (/.f64 4 (pow.f64 x 2)))))
(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 2))) (cbrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(fma.f64 (cbrt.f64 (/.f64 2 x)) (cbrt.f64 (/.f64 4 (pow.f64 x 2))) (*.f64 x -1/2))
(fma.f64 x -1/2 (*.f64 (cbrt.f64 (/.f64 2 x)) (cbrt.f64 (/.f64 4 (pow.f64 x 2)))))
(fma.f64 (cbrt.f64 (*.f64 -1/2 x)) (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (/.f64 2 x))
(fma.f64 (cbrt.f64 (*.f64 x -1/2)) (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (/.f64 2 x))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 (*.f64 -1/2 x)) (/.f64 2 x))
(fma.f64 (cbrt.f64 (*.f64 x -1/2)) (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/2) (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) 2) (*.f64 -1/2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (*.f64 -1/2 x)) (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/2) (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 -2 (/.f64 1 (neg.f64 x)) (*.f64 -1/2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (*.f64 -1/2 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 2 (cbrt.f64 x)) (*.f64 x -1/2))
(fma.f64 x -1/2 (/.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) -2)) (cbrt.f64 x)))
(fma.f64 (*.f64 2 (pow.f64 x -1/2)) (pow.f64 x -1/2) (*.f64 -1/2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (log.f64 (/.f64 2 x)) 0)
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 0 (log.f64 (/.f64 2 x)))
(log.f64 (/.f64 2 x))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 2))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) -2)) (log.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) 2)))
(+.f64 (*.f64 -2 (log.f64 (cbrt.f64 x))) (log.f64 (/.f64 2 (cbrt.f64 x))))
(fma.f64 -2 (log.f64 (cbrt.f64 x)) (log.f64 (/.f64 2 (cbrt.f64 x))))
(+.f64 (log.f64 2) (*.f64 (log.f64 (cbrt.f64 x)) -3))
(+.f64 (*.f64 -1/2 (log.f64 x)) (log.f64 (*.f64 (pow.f64 x -1/2) 2)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 2)))) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 2 x))) (log.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 2)))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 2)))) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 -2) (log.f64 (/.f64 1 (neg.f64 x))))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) -2))) (neg.f64 (log.f64 (cbrt.f64 x))))
(+.f64 (*.f64 -2 (log.f64 (cbrt.f64 x))) (log.f64 (/.f64 2 (cbrt.f64 x))))
(fma.f64 -2 (log.f64 (cbrt.f64 x)) (log.f64 (/.f64 2 (cbrt.f64 x))))
(+.f64 (log.f64 2) (*.f64 (log.f64 (cbrt.f64 x)) -3))
(+.f64 (log.f64 (*.f64 2 (pow.f64 x -1/2))) (*.f64 -1/2 (log.f64 x)))
(log.f64 (/.f64 2 x))
(-.f64 (log.f64 2) (log.f64 x))
(log.f64 (/.f64 2 x))
(-.f64 (log.f64 2) (log.f64 (neg.f64 (neg.f64 x))))
(log.f64 (/.f64 2 x))
(-.f64 0 (log.f64 (*.f64 x 1/2)))
(log.f64 (/.f64 2 x))
(-.f64 0 (log.f64 (/.f64 (*.f64 x 1/2) 1)))
(log.f64 (/.f64 2 x))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 2 x)))) 1)
(log.f64 (/.f64 2 x))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (*.f64 x 1/2))))
(log.f64 (/.f64 2 x))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(log.f64 (/.f64 2 x))
(-.f64 (log.f64 (/.f64 2 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(+.f64 (*.f64 -2 (log.f64 (cbrt.f64 x))) (log.f64 (/.f64 2 (cbrt.f64 x))))
(fma.f64 -2 (log.f64 (cbrt.f64 x)) (log.f64 (/.f64 2 (cbrt.f64 x))))
(+.f64 (log.f64 2) (*.f64 (log.f64 (cbrt.f64 x)) -3))
(-.f64 (log.f64 (/.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(log.f64 (/.f64 2 x))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(*.f64 1 (log.f64 (/.f64 2 x)))
(log.f64 (/.f64 2 x))
(*.f64 (log.f64 (/.f64 2 x)) 1)
(log.f64 (/.f64 2 x))
(*.f64 (log.f64 (/.f64 2 x)) (log.f64 (exp.f64 1)))
(log.f64 (/.f64 2 x))
(*.f64 -1 (log.f64 (*.f64 x 1/2)))
(log.f64 (/.f64 2 x))
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2))
(log.f64 (/.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 2))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 2 x))))
(*.f64 1/3 (*.f64 3 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(*.f64 (pow.f64 1 1/3) (log.f64 (/.f64 2 x)))
(log.f64 (/.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(log.f64 (/.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 3))
(log.f64 (/.f64 2 x))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(log.f64 (/.f64 2 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(log.f64 (/.f64 2 x))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3/2) 1/3) (pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3/2)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3/2)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (/.f64 2 x)) (cbrt.f64 (log.f64 (/.f64 2 x)))) 2) 1/3) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 2 x)) (cbrt.f64 (log.f64 (/.f64 2 x)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 8)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 5/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 2))
(log.f64 (/.f64 2 x))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 2))
(log.f64 (/.f64 2 x))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x)))))
(/.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)))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(log.f64 (/.f64 2 x))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(log.f64 (/.f64 2 x))
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) 1/2)
(log.f64 (/.f64 2 x))
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(log.f64 (/.f64 2 x))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (/.f64 (*.f64 x 1/2) 1)))
(log.f64 (/.f64 2 x))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(log.f64 (/.f64 2 x))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(log.f64 (/.f64 2 x))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 1))
(log.f64 (/.f64 2 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 1) 1))
(log.f64 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(log.f64 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3)) 1/3))
(log.f64 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 2))
(log.f64 (/.f64 2 x))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(log1p.f64 (+.f64 (/.f64 2 x) -1))
(fma.f64 1 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 1 (neg.f64 (log.f64 x)) (log.f64 2))
(log.f64 (/.f64 2 x))
(fma.f64 -1 (log.f64 x) (log.f64 2))
(log.f64 (/.f64 2 x))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (log.f64 2))) (cbrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 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))
(log.f64 (/.f64 2 x))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 (neg.f64 (log.f64 x))) (log.f64 2))
(log.f64 (/.f64 2 x))

eval60.0ms (1.4%)

Compiler

Compiled 2516 to 1998 computations (20.6% saved)

prune23.0ms (0.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1821183
Fresh000
Picked022
Done011
Total1824186
Accuracy
100.0%
Counts
186 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.6%
(*.f64 1/3 (*.f64 3 (log.f64 (/.f64 2 x))))
✓99.0%
(log.f64 (/.f64 2 x))
✓100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓99.6%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 39 to 31 computations (20.5% saved)

localize72.0ms (1.7%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(log.f64 (/.f64 2 x))
✓99.5%
(*.f64 3 (log.f64 (/.f64 2 x)))
✓99.3%
(*.f64 1/3 (*.f64 3 (log.f64 (/.f64 2 x))))
Compiler

Compiled 27 to 22 computations (18.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
Operation ival-log, time spent: 16.0ms, 38.0% of total-time
Operation ival-div, time spent: 12.0ms, 29.0% of total-time
Operation ival-mult, time spent: 11.0ms, 26.0% of total-time
Operation const, time spent: 2.0ms, 5.0% of total-time

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(*.f64 3 (log.f64 (/.f64 2 x)))
0.0ms
x
@0
(*.f64 3 (log.f64 (/.f64 2 x)))
0.0ms
x
@-inf
(*.f64 3 (log.f64 (/.f64 2 x)))
0.0ms
x
@0
(*.f64 1/3 (*.f64 3 (log.f64 (/.f64 2 x))))
0.0ms
x
@inf
(*.f64 1/3 (*.f64 3 (log.f64 (/.f64 2 x))))

rewrite80.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
684×unpow-prod-down
468×log-prod
462×cbrt-prod
393×log1p-expm1-u
393×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01334
111634
2114234
Stop Event
1×node limit
Counts
2 → 75
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 3 (log.f64 (/.f64 2 x))))
(*.f64 3 (log.f64 (/.f64 2 x)))
Outputs
(+.f64 (log.f64 (/.f64 2 x)) 0)
(+.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 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 0 (log.f64 (/.f64 2 x)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 2 x)))) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 2 x))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 2 x)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 -2) (log.f64 (/.f64 1 (neg.f64 x))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 (fma.f64 1 (log.f64 2) (neg.f64 (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 (log.f64 2) (log.f64 (neg.f64 (neg.f64 x))))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(-.f64 0 (log.f64 (*.f64 x 1/2)))
(-.f64 0 (log.f64 (/.f64 (*.f64 x 1/2) 1)))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (*.f64 x 1/2))))
(-.f64 (log.f64 (/.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 (log.f64 (/.f64 2 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 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)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (/.f64 2 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (/.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (log.f64 (/.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (/.f64 2 x))))) (sqrt.f64 (log.f64 (log.f64 (/.f64 2 x)))))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(neg.f64 (log.f64 (/.f64 (*.f64 x 1/2) 1)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(log.f64 (/.f64 2 x))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 2 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 2))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(fma.f64 1 (log.f64 2) (neg.f64 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (log.f64 (*.f64 (pow.f64 x -2) 4)))
(+.f64 0 (*.f64 3 (log.f64 (/.f64 2 x))))
(+.f64 (log.f64 (*.f64 (pow.f64 x -2) 4)) (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 (pow.f64 (/.f64 2 x) 3/2)) (log.f64 (pow.f64 (/.f64 2 x) 3/2)))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 2 x) 3))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 2 x) 3))))
(+.f64 (log.f64 (*.f64 (*.f64 (pow.f64 x -2) 4) 2)) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (pow.f64 (*.f64 (/.f64 2 x) (cbrt.f64 (/.f64 2 x))) 2)) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (pow.f64 (/.f64 2 x) 5/2)) (log.f64 (sqrt.f64 (/.f64 2 x))))
(-.f64 (+.f64 1 (*.f64 3 (log.f64 (/.f64 2 x)))) 1)
(-.f64 (log.f64 (*.f64 (pow.f64 x -2) 4)) (log.f64 (*.f64 x 1/2)))
(-.f64 (log.f64 (*.f64 (*.f64 (pow.f64 x -2) 4) 2)) (log.f64 x))
(-.f64 (log.f64 (*.f64 (*.f64 (pow.f64 x -2) 4) -2)) (log.f64 (neg.f64 x)))
(pow.f64 (*.f64 3 (log.f64 (/.f64 2 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (/.f64 2 x)))) 3)
(pow.f64 (*.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) 9) 1/2)
(pow.f64 (pow.f64 (*.f64 3 (log.f64 (/.f64 2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 3 (log.f64 (/.f64 2 x)))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 3 (log.f64 (/.f64 2 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 3 (log.f64 (/.f64 2 x))))) 2)) (cbrt.f64 (log.f64 (*.f64 3 (log.f64 (/.f64 2 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 3 (log.f64 (/.f64 2 x)))))) (sqrt.f64 (log.f64 (*.f64 3 (log.f64 (/.f64 2 x))))))
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) 9))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(cbrt.f64 (pow.f64 (*.f64 3 (log.f64 (/.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 3 (log.f64 (/.f64 2 x)))))
(exp.f64 (log.f64 (*.f64 3 (log.f64 (/.f64 2 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 3 (log.f64 (/.f64 2 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 3 (log.f64 (/.f64 2 x))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 3 (log.f64 (/.f64 2 x))))) 2))
(log1p.f64 (-.f64 (pow.f64 (/.f64 2 x) 3) 1))

simplify94.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
1684×fma-def
962×distribute-lft-in
924×distribute-rgt-in
552×unswap-sqr
520×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02212210
15162156
216552120
379422120
Stop Event
1×node limit
Counts
99 → 107
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(*.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))))
(*.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))))
(*.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))))
(*.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))))
(*.f64 3 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(*.f64 3 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(*.f64 3 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(*.f64 3 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(*.f64 3 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))
(*.f64 3 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))
(*.f64 3 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))
(*.f64 3 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (/.f64 2 x)) 0)
(+.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 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 0 (log.f64 (/.f64 2 x)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 2 x)))) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 2 x))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 2 x)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 -2) (log.f64 (/.f64 1 (neg.f64 x))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 (fma.f64 1 (log.f64 2) (neg.f64 (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 (log.f64 2) (log.f64 (neg.f64 (neg.f64 x))))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(-.f64 0 (log.f64 (*.f64 x 1/2)))
(-.f64 0 (log.f64 (/.f64 (*.f64 x 1/2) 1)))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (*.f64 x 1/2))))
(-.f64 (log.f64 (/.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 (log.f64 (/.f64 2 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 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)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (/.f64 2 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (/.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (log.f64 (/.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (/.f64 2 x))))) (sqrt.f64 (log.f64 (log.f64 (/.f64 2 x)))))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(neg.f64 (log.f64 (/.f64 (*.f64 x 1/2) 1)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(log.f64 (/.f64 2 x))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 2 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 2))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(fma.f64 1 (log.f64 2) (neg.f64 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (log.f64 (*.f64 (pow.f64 x -2) 4)))
(+.f64 0 (*.f64 3 (log.f64 (/.f64 2 x))))
(+.f64 (log.f64 (*.f64 (pow.f64 x -2) 4)) (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 (pow.f64 (/.f64 2 x) 3/2)) (log.f64 (pow.f64 (/.f64 2 x) 3/2)))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 2 x) 3))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 2 x) 3))))
(+.f64 (log.f64 (*.f64 (*.f64 (pow.f64 x -2) 4) 2)) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (pow.f64 (*.f64 (/.f64 2 x) (cbrt.f64 (/.f64 2 x))) 2)) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (pow.f64 (/.f64 2 x) 5/2)) (log.f64 (sqrt.f64 (/.f64 2 x))))
(-.f64 (+.f64 1 (*.f64 3 (log.f64 (/.f64 2 x)))) 1)
(-.f64 (log.f64 (*.f64 (pow.f64 x -2) 4)) (log.f64 (*.f64 x 1/2)))
(-.f64 (log.f64 (*.f64 (*.f64 (pow.f64 x -2) 4) 2)) (log.f64 x))
(-.f64 (log.f64 (*.f64 (*.f64 (pow.f64 x -2) 4) -2)) (log.f64 (neg.f64 x)))
(pow.f64 (*.f64 3 (log.f64 (/.f64 2 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (/.f64 2 x)))) 3)
(pow.f64 (*.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) 9) 1/2)
(pow.f64 (pow.f64 (*.f64 3 (log.f64 (/.f64 2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 3 (log.f64 (/.f64 2 x)))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 3 (log.f64 (/.f64 2 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 3 (log.f64 (/.f64 2 x))))) 2)) (cbrt.f64 (log.f64 (*.f64 3 (log.f64 (/.f64 2 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 3 (log.f64 (/.f64 2 x)))))) (sqrt.f64 (log.f64 (*.f64 3 (log.f64 (/.f64 2 x))))))
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) 9))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(cbrt.f64 (pow.f64 (*.f64 3 (log.f64 (/.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 3 (log.f64 (/.f64 2 x)))))
(exp.f64 (log.f64 (*.f64 3 (log.f64 (/.f64 2 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 3 (log.f64 (/.f64 2 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 3 (log.f64 (/.f64 2 x))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 3 (log.f64 (/.f64 2 x))))) 2))
(log1p.f64 (-.f64 (pow.f64 (/.f64 2 x) 3) 1))
Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(log.f64 (/.f64 2 x))
(*.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(*.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(*.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(*.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(*.f64 3 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(*.f64 3 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(*.f64 3 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(*.f64 3 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(*.f64 3 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(*.f64 3 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(*.f64 3 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(*.f64 3 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(+.f64 (log.f64 (/.f64 2 x)) 0)
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 0 (log.f64 (/.f64 2 x)))
(log.f64 (/.f64 2 x))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 2 x)))) (log.f64 (cbrt.f64 (/.f64 2 x))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 2 x))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 2 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 -2) (log.f64 (/.f64 1 (neg.f64 x))))
(log.f64 (/.f64 2 x))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 2))
(log.f64 (/.f64 2 x))
(+.f64 (fma.f64 1 (log.f64 2) (neg.f64 (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(log.f64 (/.f64 2 x))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(log.f64 (/.f64 2 x))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(log.f64 (/.f64 2 x))
(-.f64 (log.f64 2) (log.f64 x))
(log.f64 (/.f64 2 x))
(-.f64 (log.f64 2) (log.f64 (neg.f64 (neg.f64 x))))
(log.f64 (/.f64 2 x))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(log.f64 (/.f64 2 x))
(-.f64 0 (log.f64 (*.f64 x 1/2)))
(log.f64 (/.f64 2 x))
(-.f64 0 (log.f64 (/.f64 (*.f64 x 1/2) 1)))
(log.f64 (/.f64 2 x))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(log.f64 (/.f64 2 x))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (*.f64 x 1/2))))
(log.f64 (/.f64 2 x))
(-.f64 (log.f64 (/.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 (log.f64 2) (*.f64 2 (log.f64 (sqrt.f64 x))))
(-.f64 (log.f64 (/.f64 2 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(-.f64 (log.f64 2) (*.f64 3 (log.f64 (cbrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x)))))
(/.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)))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(log.f64 (/.f64 2 x))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(log.f64 (/.f64 2 x))
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) 1/2)
(log.f64 (/.f64 2 x))
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(log.f64 (/.f64 2 x))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(log.f64 (/.f64 2 x))
(pow.f64 (E.f64) (log.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (/.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (log.f64 (/.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (/.f64 2 x))))) (sqrt.f64 (log.f64 (log.f64 (/.f64 2 x)))))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (/.f64 (*.f64 x 1/2) 1)))
(log.f64 (/.f64 2 x))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(log.f64 (/.f64 2 x))
(log.f64 (/.f64 2 x))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(log.f64 (/.f64 2 x))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(log.f64 (/.f64 2 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 2 x)))) 1/3))
(log.f64 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 2))
(log.f64 (/.f64 2 x))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(log1p.f64 (+.f64 (/.f64 2 x) -1))
(log1p.f64 (+.f64 -1 (/.f64 2 x)))
(fma.f64 1 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (/.f64 2 x)) (log.f64 (*.f64 (pow.f64 x -2) 4)))
(-.f64 (log.f64 (*.f64 (pow.f64 x -2) 8)) (log.f64 x))
(-.f64 (fma.f64 -2 (log.f64 x) (log.f64 8)) (log.f64 x))
(+.f64 0 (*.f64 3 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(+.f64 (log.f64 (*.f64 (pow.f64 x -2) 4)) (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 (/.f64 2 x)) (log.f64 (*.f64 (pow.f64 x -2) 4)))
(-.f64 (log.f64 (*.f64 (pow.f64 x -2) 8)) (log.f64 x))
(-.f64 (fma.f64 -2 (log.f64 x) (log.f64 8)) (log.f64 x))
(+.f64 (log.f64 (pow.f64 (/.f64 2 x) 3/2)) (log.f64 (pow.f64 (/.f64 2 x) 3/2)))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 2 x) 3))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 2 x) 3))))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(+.f64 (log.f64 (*.f64 (*.f64 (pow.f64 x -2) 4) 2)) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (log.f64 (*.f64 (pow.f64 x -2) 4)))
(-.f64 (log.f64 (*.f64 (pow.f64 x -2) 8)) (log.f64 x))
(-.f64 (fma.f64 -2 (log.f64 x) (log.f64 8)) (log.f64 x))
(+.f64 (log.f64 (pow.f64 (*.f64 (/.f64 2 x) (cbrt.f64 (/.f64 2 x))) 2)) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 2 x))) (*.f64 2 (log.f64 (*.f64 (/.f64 2 x) (cbrt.f64 (/.f64 2 x))))))
(fma.f64 2 (log.f64 (*.f64 (/.f64 2 x) (cbrt.f64 (/.f64 2 x)))) (log.f64 (cbrt.f64 (/.f64 2 x))))
(fma.f64 2 (log.f64 (*.f64 2 (/.f64 (cbrt.f64 (/.f64 2 x)) x))) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (pow.f64 (/.f64 2 x) 5/2)) (log.f64 (sqrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (*.f64 5/2 (log.f64 (/.f64 2 x))))
(fma.f64 5/2 (log.f64 (/.f64 2 x)) (log.f64 (sqrt.f64 (/.f64 2 x))))
(fma.f64 (log.f64 (/.f64 2 x)) 5/2 (log.f64 (sqrt.f64 (/.f64 2 x))))
(-.f64 (+.f64 1 (*.f64 3 (log.f64 (/.f64 2 x)))) 1)
(log.f64 (/.f64 8 (pow.f64 x 3)))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(-.f64 (log.f64 (*.f64 (pow.f64 x -2) 4)) (log.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 (/.f64 2 x)) (log.f64 (*.f64 (pow.f64 x -2) 4)))
(-.f64 (log.f64 (*.f64 (pow.f64 x -2) 8)) (log.f64 x))
(-.f64 (fma.f64 -2 (log.f64 x) (log.f64 8)) (log.f64 x))
(-.f64 (log.f64 (*.f64 (*.f64 (pow.f64 x -2) 4) 2)) (log.f64 x))
(+.f64 (log.f64 (/.f64 2 x)) (log.f64 (*.f64 (pow.f64 x -2) 4)))
(-.f64 (log.f64 (*.f64 (pow.f64 x -2) 8)) (log.f64 x))
(-.f64 (fma.f64 -2 (log.f64 x) (log.f64 8)) (log.f64 x))
(-.f64 (log.f64 (*.f64 (*.f64 (pow.f64 x -2) 4) -2)) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (log.f64 (*.f64 (pow.f64 x -2) 4)))
(-.f64 (log.f64 (*.f64 (pow.f64 x -2) 8)) (log.f64 x))
(-.f64 (fma.f64 -2 (log.f64 x) (log.f64 8)) (log.f64 x))
(pow.f64 (*.f64 3 (log.f64 (/.f64 2 x))) 1)
(log.f64 (/.f64 8 (pow.f64 x 3)))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (/.f64 2 x)))) 3)
(log.f64 (/.f64 8 (pow.f64 x 3)))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(pow.f64 (*.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) 9) 1/2)
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) 9))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 8 (pow.f64 x 3))) 2))
(fabs.f64 (log.f64 (pow.f64 (/.f64 2 x) 3)))
(pow.f64 (pow.f64 (*.f64 3 (log.f64 (/.f64 2 x))) 3) 1/3)
(log.f64 (/.f64 8 (pow.f64 x 3)))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(pow.f64 (sqrt.f64 (*.f64 3 (log.f64 (/.f64 2 x)))) 2)
(log.f64 (/.f64 8 (pow.f64 x 3)))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(pow.f64 (E.f64) (log.f64 (*.f64 3 (log.f64 (/.f64 2 x)))))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 3 (log.f64 (/.f64 2 x))))) 2)) (cbrt.f64 (log.f64 (*.f64 3 (log.f64 (/.f64 2 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (/.f64 8 (pow.f64 x 3))))) 2)) (cbrt.f64 (log.f64 (log.f64 (/.f64 8 (pow.f64 x 3))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (pow.f64 (/.f64 2 x) 3)))) 2)) (cbrt.f64 (log.f64 (log.f64 (pow.f64 (/.f64 2 x) 3)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 3 (log.f64 (/.f64 2 x)))))) (sqrt.f64 (log.f64 (*.f64 3 (log.f64 (/.f64 2 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (/.f64 8 (pow.f64 x 3)))))) (sqrt.f64 (log.f64 (log.f64 (/.f64 8 (pow.f64 x 3))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (pow.f64 (/.f64 2 x) 3))))) (sqrt.f64 (log.f64 (log.f64 (pow.f64 (/.f64 2 x) 3)))))
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) 9))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 8 (pow.f64 x 3))) 2))
(fabs.f64 (log.f64 (pow.f64 (/.f64 2 x) 3)))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 3 (log.f64 (/.f64 2 x))) 3))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(expm1.f64 (log1p.f64 (*.f64 3 (log.f64 (/.f64 2 x)))))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(exp.f64 (log.f64 (*.f64 3 (log.f64 (/.f64 2 x)))))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 3 (log.f64 (/.f64 2 x))))) 3))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 3 (log.f64 (/.f64 2 x))) 3)) 1/3))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 3 (log.f64 (/.f64 2 x))))) 2))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(log1p.f64 (-.f64 (pow.f64 (/.f64 2 x) 3) 1))
(log1p.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) -1))
(log1p.f64 (+.f64 -1 (/.f64 8 (pow.f64 x 3))))
(log1p.f64 (+.f64 -1 (pow.f64 (/.f64 2 x) 3)))

eval73.0ms (1.7%)

Compiler

Compiled 2502 to 2063 computations (17.5% saved)

prune29.0ms (0.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1901191
Fresh000
Picked011
Done033
Total1905195
Accuracy
100.0%
Counts
195 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.0%
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
✓98.6%
(*.f64 1/3 (*.f64 3 (log.f64 (/.f64 2 x))))
✓99.0%
(log.f64 (/.f64 2 x))
✓100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓99.6%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 48 to 39 computations (18.8% saved)

localize59.0ms (1.4%)

Localize:

Found 3 expressions with local error:

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

Compiled 26 to 21 computations (19.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
Operation ival-log, time spent: 16.0ms, 53.0% of total-time
Operation ival-div, time spent: 8.0ms, 26.0% 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
Operation ival-sub, time spent: 1.0ms, 3.0% of total-time

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 1 (log.f64 (/.f64 2 x)))
0.0ms
x
@-inf
(+.f64 1 (log.f64 (/.f64 2 x)))
0.0ms
x
@inf
(+.f64 1 (log.f64 (/.f64 2 x)))
0.0ms
x
@0
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
0.0ms
x
@inf
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)

rewrite352.0ms (8.5%)

Algorithm
1×batch-egg-rewrite
Rules
790×unpow-prod-down
621×log1p-expm1-u
621×expm1-log1p-u
614×fma-def
496×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01246
114134
2194234
Stop Event
1×node limit
Counts
2 → 167
Calls
Call 1
Inputs
(+.f64 1 (log.f64 (/.f64 2 x)))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
Outputs
(-.f64 (log.f64 2) (-.f64 (log.f64 x) 1))
(-.f64 (+.f64 (log.f64 (/.f64 2 x)) 2) 1)
(-.f64 (/.f64 1 (+.f64 1 (log.f64 (*.f64 x 1/2)))) (/.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (+.f64 1 (log.f64 (*.f64 x 1/2)))))
(-.f64 (+.f64 1 (log.f64 2)) (log.f64 x))
(*.f64 1 (+.f64 1 (log.f64 (/.f64 2 x))))
(*.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(*.f64 (+.f64 1 (log.f64 (/.f64 2 x))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2) (pow.f64 (*.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1) 1))
(*.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))))
(*.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (*.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1))
(*.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (pow.f64 (*.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1) 1))
(*.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) -1) 1)))
(*.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (pow.f64 (/.f64 1 (fma.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) -1) 1)) 1))
(*.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (/.f64 1 (+.f64 1 (log.f64 (*.f64 x 1/2)))))
(*.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (pow.f64 (/.f64 1 (+.f64 1 (log.f64 (*.f64 x 1/2)))) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (log.f64 (/.f64 2 x))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x))))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x))))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x))))) 3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 1 (log.f64 (/.f64 2 x))) (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x))))))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x))))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) -1) 1) (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3))))
(/.f64 1 (/.f64 (+.f64 1 (log.f64 (*.f64 x 1/2))) (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (fma.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (+.f64 1 (log.f64 (*.f64 x 1/2)))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (+.f64 1 (log.f64 (*.f64 x 1/2))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3))) (neg.f64 (fma.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) -1) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2))) (neg.f64 (+.f64 1 (log.f64 (*.f64 x 1/2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) 1) (+.f64 (log.f64 (/.f64 2 x)) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) 1) (fma.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) -1) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) 1) (+.f64 1 (log.f64 (*.f64 x 1/2))))
(pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2)
(pow.f64 (/.f64 (fma.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) -1) 1) (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3))) -1)
(pow.f64 (/.f64 (+.f64 1 (log.f64 (*.f64 x 1/2))) (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))
(log.f64 (*.f64 (/.f64 2 x) (exp.f64 1)))
(log.f64 (+.f64 1 (fma.f64 (/.f64 2 x) (exp.f64 1) -1)))
(cbrt.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3))
(expm1.f64 (log.f64 (+.f64 (log.f64 (/.f64 2 x)) 2)))
(exp.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (log.f64 (/.f64 2 x)))) 3))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (log.f64 (/.f64 2 x))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (log.f64 (/.f64 2 x)))) 2))
(log1p.f64 (fma.f64 (/.f64 2 x) (exp.f64 1) -1))
(fma.f64 1 (log.f64 (/.f64 2 x)) 1)
(fma.f64 1 (log.f64 2) (neg.f64 (-.f64 (log.f64 x) 1)))
(fma.f64 1 (+.f64 (log.f64 (/.f64 2 x)) 2) -1)
(fma.f64 (log.f64 (/.f64 2 x)) 1 1)
(fma.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))) 1)
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))) 1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (/.f64 2 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2))) 1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x))))) (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) 2)) 1)
(fma.f64 (+.f64 (log.f64 (/.f64 2 x)) 2) 1 -1)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (-.f64 (log.f64 x) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 2 x)) 2)) 2) (cbrt.f64 (+.f64 (log.f64 (/.f64 2 x)) 2)) -1)
(fma.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 2 x)) 2)) (sqrt.f64 (+.f64 (log.f64 (/.f64 2 x)) 2)) -1)
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (-.f64 (log.f64 x) 1)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 (/.f64 2 x))))) 1)
(+.f64 1 (+.f64 (log.f64 (/.f64 2 x)) -1))
(+.f64 (log.f64 (/.f64 2 x)) 0)
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (+.f64 1 (log.f64 (/.f64 2 x))) -1)
(+.f64 (+.f64 1 (log.f64 (/.f64 2 x))) (log.f64 (exp.f64 -1)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 0 (log.f64 (/.f64 2 x)))
(+.f64 -1 (+.f64 1 (log.f64 (/.f64 2 x))))
(+.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) 1)
(+.f64 (log.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 2)))) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 2 x))) (log.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 2)))))
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(+.f64 (log.f64 -2) (log.f64 (/.f64 1 (neg.f64 x))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 (fma.f64 1 (log.f64 2) (neg.f64 (*.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (*.f64 (log.f64 x) 1)))
(+.f64 (fma.f64 1 (log.f64 2) (neg.f64 (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (*.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (*.f64 (log.f64 x) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (*.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (*.f64 (log.f64 x) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(+.f64 (log.f64 (exp.f64 1)) (+.f64 (log.f64 (/.f64 2 x)) -1))
(*.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 2 x))))
(*.f64 (log.f64 (/.f64 2 x)) 1)
(*.f64 (log.f64 (/.f64 2 x)) (log.f64 (exp.f64 1)))
(*.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 3 (log.f64 (cbrt.f64 (/.f64 2 x))))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (/.f64 2 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2))))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (/.f64 2 x))) 3)) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2))) 1))
(*.f64 -1 (log.f64 (*.f64 x 1/2)))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x))))) (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) 2)))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x))))) (pow.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) 2)) 1))
(*.f64 1/3 (*.f64 3 (log.f64 (/.f64 2 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 (/.f64 2 x))))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(*.f64 (pow.f64 1 1/3) (log.f64 (/.f64 2 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1) 1) (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 (/.f64 2 x))))) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (/.f64 2 x)) (cbrt.f64 (log.f64 (/.f64 2 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2)) (expm1.f64 (*.f64 (log1p.f64 (log.f64 (/.f64 2 x))) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 (/.f64 2 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x)))))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (/.f64 2 x))) 3)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (/.f64 2 x))) 3)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (/.f64 2 x))) -1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 (log.f64 (/.f64 2 x)) 2))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (/.f64 2 x))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x)))))) (neg.f64 (+.f64 (log.f64 (/.f64 2 x)) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) 2) (+.f64 (log.f64 (/.f64 2 x)) -1))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) 2)) (-.f64 1 (+.f64 (log.f64 (/.f64 2 x)) -1)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 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)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2)) (expm1.f64 (*.f64 (log1p.f64 (log.f64 (/.f64 2 x))) 3))) -1)
(pow.f64 (/.f64 (+.f64 (log.f64 (/.f64 2 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x)))))) -1)
(neg.f64 (log.f64 (*.f64 x 1/2)))
(neg.f64 (log.f64 (/.f64 (*.f64 x 1/2) 1)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(log.f64 (/.f64 2 x))
(log.f64 (+.f64 1 (-.f64 (/.f64 2 x) 1)))
(log.f64 (*.f64 (exp.f64 (log.f64 2)) (/.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(hypot.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (log.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 2))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(fma.f64 1 (log.f64 (/.f64 2 x)) 0)
(fma.f64 1 (+.f64 1 (log.f64 (/.f64 2 x))) -1)
(fma.f64 1 (log.f64 2) (neg.f64 (log.f64 x)))
(fma.f64 1 (+.f64 (log.f64 (/.f64 2 x)) -1) 1)
(fma.f64 (log.f64 (/.f64 2 x)) 1 0)
(fma.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1 -1)
(fma.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))) 0)
(fma.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1) -1)
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))) 0)
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (*.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1) -1)
(fma.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) -1) 1)) -1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (/.f64 2 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2))) 0)
(fma.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (/.f64 1 (+.f64 1 (log.f64 (*.f64 x 1/2)))) -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x))))) (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) 2)) 0)
(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 (+.f64 (log.f64 (/.f64 2 x)) -1)) 2) (cbrt.f64 (+.f64 (log.f64 (/.f64 2 x)) -1)) 1)
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 2 x)) -1)) (sqrt.f64 (+.f64 (log.f64 (/.f64 2 x)) -1)) 1)
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 1) (-.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 1) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 (/.f64 2 x))))) 0)

simplify98.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
878×fma-neg
650×distribute-rgt-neg-in
646×distribute-lft-neg-in
522×associate-+l-
514×associate-+r-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03825882
18805716
230145704
Stop Event
1×node limit
Counts
191 → 214
Calls
Call 1
Inputs
(+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))))
(+.f64 1 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(+.f64 1 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(+.f64 1 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(+.f64 1 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(+.f64 1 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))
(+.f64 1 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))
(+.f64 1 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))
(+.f64 1 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
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(fma.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) -1) 1)) -1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (/.f64 2 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2))) 0)
(fma.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (/.f64 1 (+.f64 1 (log.f64 (*.f64 x 1/2)))) -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x))))) (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) 2)) 0)
(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 (+.f64 (log.f64 (/.f64 2 x)) -1)) 2) (cbrt.f64 (+.f64 (log.f64 (/.f64 2 x)) -1)) 1)
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 2 x)) -1)) (sqrt.f64 (+.f64 (log.f64 (/.f64 2 x)) -1)) 1)
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 1) (-.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 1) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 (/.f64 2 x))))) 0)
Outputs
(+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))))
(+.f64 1 (log.f64 (/.f64 2 x)))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))))
(+.f64 1 (log.f64 (/.f64 2 x)))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))))
(+.f64 1 (log.f64 (/.f64 2 x)))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))))
(+.f64 1 (log.f64 (/.f64 2 x)))
(+.f64 1 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(+.f64 1 (log.f64 (/.f64 2 x)))
(+.f64 1 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(+.f64 1 (log.f64 (/.f64 2 x)))
(+.f64 1 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(+.f64 1 (log.f64 (/.f64 2 x)))
(+.f64 1 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(+.f64 1 (log.f64 (/.f64 2 x)))
(+.f64 1 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))
(+.f64 (+.f64 1 (log.f64 -2)) (log.f64 (/.f64 -1 x)))
(+.f64 1 (-.f64 (log.f64 -2) (log.f64 (neg.f64 x))))
(+.f64 1 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))
(+.f64 (+.f64 1 (log.f64 -2)) (log.f64 (/.f64 -1 x)))
(+.f64 1 (-.f64 (log.f64 -2) (log.f64 (neg.f64 x))))
(+.f64 1 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))
(+.f64 (+.f64 1 (log.f64 -2)) (log.f64 (/.f64 -1 x)))
(+.f64 1 (-.f64 (log.f64 -2) (log.f64 (neg.f64 x))))
(+.f64 1 (+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))
(+.f64 (+.f64 1 (log.f64 -2)) (log.f64 (/.f64 -1 x)))
(+.f64 1 (-.f64 (log.f64 -2) (log.f64 (neg.f64 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 2) (-.f64 (log.f64 x) 1))
(+.f64 1 (log.f64 (/.f64 2 x)))
(-.f64 (+.f64 (log.f64 (/.f64 2 x)) 2) 1)
(+.f64 1 (log.f64 (/.f64 2 x)))
(-.f64 (/.f64 1 (+.f64 1 (log.f64 (*.f64 x 1/2)))) (/.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (+.f64 1 (log.f64 (*.f64 x 1/2)))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (+.f64 1 (log.f64 (*.f64 x 1/2))))
(-.f64 (+.f64 1 (log.f64 2)) (log.f64 x))
(+.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 1 (+.f64 1 (log.f64 (/.f64 2 x))))
(+.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(+.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (+.f64 1 (log.f64 (/.f64 2 x))) (log.f64 (exp.f64 1)))
(+.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2))
(+.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))))
(+.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1))
(+.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2) (pow.f64 (*.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1) 1))
(+.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))))
(+.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (*.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1))
(+.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (pow.f64 (*.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1) 1))
(+.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) -1) 1)))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (fma.f64 (log.f64 (/.f64 2 x)) (+.f64 -1 (log.f64 (/.f64 2 x))) 1))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (fma.f64 (log.f64 (/.f64 2 x)) (-.f64 -1 (log.f64 (*.f64 x 1/2))) 1))
(*.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (pow.f64 (/.f64 1 (fma.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) -1) 1)) 1))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (fma.f64 (log.f64 (/.f64 2 x)) (+.f64 -1 (log.f64 (/.f64 2 x))) 1))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (fma.f64 (log.f64 (/.f64 2 x)) (-.f64 -1 (log.f64 (*.f64 x 1/2))) 1))
(*.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (/.f64 1 (+.f64 1 (log.f64 (*.f64 x 1/2)))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (+.f64 1 (log.f64 (*.f64 x 1/2))))
(*.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (pow.f64 (/.f64 1 (+.f64 1 (log.f64 (*.f64 x 1/2)))) 1))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (+.f64 1 (log.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (log.f64 (/.f64 2 x))))
(+.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x))))) 3))
(+.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x))))) 3))
(+.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x))))) 3))
(+.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x))))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x))))) 3))
(+.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 1 (log.f64 (/.f64 2 x))) (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x))))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (log.f64 (/.f64 2 x))) (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x))))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x))))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 8)))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 5/2)))
(/.f64 1 (/.f64 (fma.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) -1) 1) (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (fma.f64 (log.f64 (/.f64 2 x)) (+.f64 -1 (log.f64 (/.f64 2 x))) 1))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (fma.f64 (log.f64 (/.f64 2 x)) (-.f64 -1 (log.f64 (*.f64 x 1/2))) 1))
(/.f64 1 (/.f64 (+.f64 1 (log.f64 (*.f64 x 1/2))) (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (+.f64 1 (log.f64 (*.f64 x 1/2))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (fma.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (fma.f64 (log.f64 (/.f64 2 x)) (+.f64 -1 (log.f64 (/.f64 2 x))) 1))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (fma.f64 (log.f64 (/.f64 2 x)) (-.f64 -1 (log.f64 (*.f64 x 1/2))) 1))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (+.f64 1 (log.f64 (*.f64 x 1/2)))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (fma.f64 (log.f64 (/.f64 2 x)) (+.f64 -1 (log.f64 (/.f64 2 x))) 1))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (fma.f64 (log.f64 (/.f64 2 x)) (-.f64 -1 (log.f64 (*.f64 x 1/2))) 1))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (+.f64 1 (log.f64 (*.f64 x 1/2))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3))) (neg.f64 (fma.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) -1) 1)))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (fma.f64 (log.f64 (/.f64 2 x)) (+.f64 -1 (log.f64 (/.f64 2 x))) 1))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (fma.f64 (log.f64 (/.f64 2 x)) (-.f64 -1 (log.f64 (*.f64 x 1/2))) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2))) (neg.f64 (+.f64 1 (log.f64 (*.f64 x 1/2)))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (+.f64 1 (log.f64 (*.f64 x 1/2))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) 1) (+.f64 (log.f64 (/.f64 2 x)) -1))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (+.f64 1 (log.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) 1) (fma.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (fma.f64 (log.f64 (/.f64 2 x)) (+.f64 -1 (log.f64 (/.f64 2 x))) 1))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (fma.f64 (log.f64 (/.f64 2 x)) (-.f64 -1 (log.f64 (*.f64 x 1/2))) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) 1) (+.f64 1 (log.f64 (*.f64 x 1/2))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (+.f64 1 (log.f64 (*.f64 x 1/2))))
(pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(+.f64 1 (log.f64 (/.f64 2 x)))
(pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 3)
(+.f64 1 (log.f64 (/.f64 2 x)))
(pow.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) 1/2)
(+.f64 1 (log.f64 (/.f64 2 x)))
(pow.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) 1/3)
(+.f64 1 (log.f64 (/.f64 2 x)))
(pow.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2)
(+.f64 1 (log.f64 (/.f64 2 x)))
(pow.f64 (/.f64 (fma.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) -1) 1) (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3))) -1)
(/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (fma.f64 (log.f64 (/.f64 2 x)) (+.f64 -1 (log.f64 (/.f64 2 x))) 1))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (fma.f64 (log.f64 (/.f64 2 x)) (-.f64 -1 (log.f64 (*.f64 x 1/2))) 1))
(pow.f64 (/.f64 (+.f64 1 (log.f64 (*.f64 x 1/2))) (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2))) -1)
(/.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (+.f64 1 (log.f64 (*.f64 x 1/2))))
(sqrt.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))
(+.f64 1 (log.f64 (/.f64 2 x)))
(log.f64 (*.f64 (/.f64 2 x) (exp.f64 1)))
(+.f64 1 (log.f64 (/.f64 2 x)))
(log.f64 (+.f64 1 (fma.f64 (/.f64 2 x) (exp.f64 1) -1)))
(+.f64 1 (log.f64 (/.f64 2 x)))
(cbrt.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3))
(+.f64 1 (log.f64 (/.f64 2 x)))
(expm1.f64 (log.f64 (+.f64 (log.f64 (/.f64 2 x)) 2)))
(expm1.f64 (log.f64 (+.f64 2 (log.f64 (/.f64 2 x)))))
(exp.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (log.f64 (/.f64 2 x)))) 3))
(exp.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (log.f64 (/.f64 2 x))) 3) 1/3))
(exp.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (log.f64 (/.f64 2 x)))) 2))
(exp.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(log1p.f64 (fma.f64 (/.f64 2 x) (exp.f64 1) -1))
(+.f64 1 (log.f64 (/.f64 2 x)))
(fma.f64 1 (log.f64 (/.f64 2 x)) 1)
(+.f64 1 (log.f64 (/.f64 2 x)))
(fma.f64 1 (log.f64 2) (neg.f64 (-.f64 (log.f64 x) 1)))
(+.f64 1 (log.f64 (/.f64 2 x)))
(fma.f64 1 (+.f64 (log.f64 (/.f64 2 x)) 2) -1)
(+.f64 1 (log.f64 (/.f64 2 x)))
(fma.f64 (log.f64 (/.f64 2 x)) 1 1)
(+.f64 1 (log.f64 (/.f64 2 x)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) 1)
(+.f64 1 (log.f64 (/.f64 2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))) 1)
(+.f64 1 (log.f64 (/.f64 2 x)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))) 1)
(+.f64 1 (log.f64 (/.f64 2 x)))
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (/.f64 2 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2))) 1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (/.f64 1 (+.f64 (+.f64 2 (log.f64 (/.f64 2 x))) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))) 1)
(+.f64 1 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 2 (+.f64 (log.f64 (/.f64 2 x)) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)))))
(+.f64 1 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 1 (*.f64 (+.f64 2 (log.f64 (/.f64 2 x))) (+.f64 1 (log.f64 (/.f64 2 x)))))))
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(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 1 (*.f64 (+.f64 2 (log.f64 (/.f64 2 x))) (+.f64 1 (log.f64 (/.f64 2 x))))))
(pow.f64 (/.f64 (+.f64 (log.f64 (/.f64 2 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x)))))) -1)
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x))))) (/.f64 1 (+.f64 2 (log.f64 (/.f64 2 x)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 2 (log.f64 (/.f64 2 x))))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (/.f64 (*.f64 x 1/2) 1)))
(log.f64 (/.f64 2 x))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(log.f64 (/.f64 2 x))
(log.f64 (/.f64 2 x))
(log.f64 (+.f64 1 (-.f64 (/.f64 2 x) 1)))
(log.f64 (/.f64 2 x))
(log.f64 (*.f64 (exp.f64 (log.f64 2)) (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(log.f64 (/.f64 2 x))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(hypot.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (log.f64 (*.f64 x 1/2)))))
(hypot.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (+.f64 (log.f64 (*.f64 x 1/2)) (pow.f64 (log.f64 (/.f64 2 x)) 2))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(log.f64 (/.f64 2 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 3) 1/3))
(log.f64 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 2))
(log.f64 (/.f64 2 x))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(log.f64 (/.f64 2 x))
(fma.f64 1 (log.f64 (/.f64 2 x)) 0)
(log.f64 (/.f64 2 x))
(fma.f64 1 (+.f64 1 (log.f64 (/.f64 2 x))) -1)
(log.f64 (/.f64 2 x))
(fma.f64 1 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 1 (+.f64 (log.f64 (/.f64 2 x)) -1) 1)
(log.f64 (/.f64 2 x))
(fma.f64 (log.f64 (/.f64 2 x)) 1 0)
(log.f64 (/.f64 2 x))
(fma.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1 -1)
(log.f64 (/.f64 2 x))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) 0)
(log.f64 (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))) 0)
(log.f64 (/.f64 2 x))
(fma.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2) -1)
(log.f64 (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) -1)
(log.f64 (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1) -1)
(log.f64 (/.f64 2 x))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))) 0)
(log.f64 (/.f64 2 x))
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) -1)
(log.f64 (/.f64 2 x))
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (*.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1) -1)
(log.f64 (/.f64 2 x))
(fma.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) -1) 1)) -1)
(+.f64 (/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (fma.f64 (log.f64 (/.f64 2 x)) (+.f64 -1 (log.f64 (/.f64 2 x))) 1)) -1)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (fma.f64 (log.f64 (/.f64 2 x)) (-.f64 -1 (log.f64 (*.f64 x 1/2))) 1)))
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (fma.f64 (log.f64 (/.f64 2 x)) (+.f64 -1 (log.f64 (/.f64 2 x))) 1)))
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (/.f64 2 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2))) 0)
(/.f64 (*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) 1) (+.f64 (+.f64 2 (log.f64 (/.f64 2 x))) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 2 (+.f64 (log.f64 (/.f64 2 x)) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 1 (*.f64 (+.f64 2 (log.f64 (/.f64 2 x))) (+.f64 1 (log.f64 (/.f64 2 x))))))
(fma.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (/.f64 1 (+.f64 1 (log.f64 (*.f64 x 1/2)))) -1)
(+.f64 (/.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (+.f64 1 (log.f64 (*.f64 x 1/2)))) -1)
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (+.f64 1 (log.f64 (*.f64 x 1/2)))))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x))))) (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) 2)) 0)
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x))))) (/.f64 1 (+.f64 2 (log.f64 (/.f64 2 x)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (/.f64 2 x))))) (+.f64 2 (log.f64 (/.f64 2 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 2 x)) -1)) 2) (cbrt.f64 (+.f64 (log.f64 (/.f64 2 x)) -1)) 1)
(log.f64 (/.f64 2 x))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 2 x)) -1)) (sqrt.f64 (+.f64 (log.f64 (/.f64 2 x)) -1)) 1)
(log.f64 (/.f64 2 x))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 1) (-.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 1) 1)
(log.f64 (/.f64 2 x))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 (/.f64 2 x))))) 0)
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x))))) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 (/.f64 2 x))))))

eval116.0ms (2.8%)

Compiler

Compiled 4664 to 3997 computations (14.3% saved)

prune38.0ms (0.9%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New2980298
Fresh000
Picked011
Done044
Total2985303
Accuracy
100.0%
Counts
303 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.0%
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
✓98.6%
(*.f64 1/3 (*.f64 3 (log.f64 (/.f64 2 x))))
✓99.0%
(log.f64 (/.f64 2 x))
✓100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓99.6%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 92 to 74 computations (19.6% saved)

regimes17.0ms (0.4%)

Counts
5 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 2 x))
(*.f64 1/3 (*.f64 3 (log.f64 (/.f64 2 x))))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 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:

5.0ms
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
5.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
3.0ms
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)

regimes3.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 2 x))
(*.f64 1/3 (*.f64 3 (log.f64 (/.f64 2 x))))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Outputs
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 2 x))
(*.f64 1/3 (*.f64 3 (log.f64 (/.f64 2 x))))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
Outputs
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.3b remaining (-46%)

Threshold costs -0.3b (-46%)

Counts
2 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 2 x))
(*.f64 1/3 (*.f64 3 (log.f64 (/.f64 2 x))))
Outputs
(log.f64 (/.f64 2 x))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
16×unsub-neg
16×neg-mul-1
16×+-commutative
10×sub-neg
10×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024126
141126
251126
360126
473126
590126
Stop Event
1×done
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 -1/2 x) (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(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 -1/2 x) (*.f64 2 (/.f64 1 x))))
(log.f64 (+.f64 (*.f64 x -1/2) (*.f64 (/.f64 1 x) 2)))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(+.f64 (+.f64 1 (log.f64 (/.f64 2 x))) -1)
(log.f64 (/.f64 2 x))
Compiler

Compiled 39 to 31 computations (20.5% saved)

soundness252.0ms (6.1%)

Rules
1190×unpow-prod-down
718×log-prod
714×log1p-expm1-u
714×expm1-log1p-u
684×unpow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01535
117635
2204535
01334
111634
2114234
Stop Event
1×node limit
1×node limit
Compiler

Compiled 157 to 135 computations (14% saved)

end0.0ms (0%)

preprocess53.0ms (1.3%)

Compiler

Compiled 100 to 76 computations (24% saved)

Profiling

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