Numeric.Log:$clog1p from log-domain-0.10.2.1, B

Time bar (total: 5.6s)

analyze2.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
66.7%50%25%0%0%25%0%3
83.3%62.5%12.5%0%0%25%0%4
91.7%68.7%6.2%0%0%25%0%5
95.8%71.8%3.1%0%0%25%0%6
97.9%73.4%1.6%0%0%25%0%7
99%74.2%0.8%0%0%25%0%8
99.5%74.6%0.4%0%0%25%0%9
99.7%74.8%0.2%0%0%25%0%10
99.9%74.9%0.1%0%0%25%0%11
99.9%74.9%0%0%0%25%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

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

sample1.5s (26.7%)

Results
1.4s8251×256valid
1.0ms4×1024valid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 588.0ms
Operation ival-sqrt, time spent: 382.0ms, 65.0% of total-time
Operation ival-add, time spent: 123.0ms, 21.0% of total-time
Operation ival-div, time spent: 67.0ms, 11.0% of total-time
Operation const, time spent: 17.0ms, 3.0% of total-time
Bogosity

preprocess185.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
522×fma-def
104×associate-*r*
82×distribute-lft-neg-in
62×cancel-sign-sub-inv
58×distribute-rgt-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
00-0-x
00-0-(sqrt.f64 (+.f64 x 1))
00-0-(+.f64 x 1)
00-0-(+.f64 1 (sqrt.f64 (+.f64 x 1)))
00-0-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017136
135120
256120
3117120
4229120
5482120
6909120
7930120
8948120
9966120
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1))))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1)))))
Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1))))
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 (neg.f64 x)))))
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (-.f64 1 x))))
(neg.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 x)))))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1)))))
(/.f64 (neg.f64 (neg.f64 x)) (+.f64 1 (sqrt.f64 (+.f64 1 (neg.f64 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 x))))
Compiler

Compiled 59 to 45 computations (23.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
Operation ival-sqrt, time spent: 23.0ms, 44.0% of total-time
Operation ival-add, time spent: 22.0ms, 43.0% of total-time
Operation ival-div, time spent: 4.0ms, 8.0% of total-time
Operation const, time spent: 2.0ms, 4.0% 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
▶99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 9 to 7 computations (22.2% saved)

localize91.0ms (1.6%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓100.0%
(sqrt.f64 (+.f64 x 1))
✓100.0%
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
✓99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 25 to 19 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
Operation ival-add, time spent: 13.0ms, 50.0% of total-time
Operation ival-sqrt, time spent: 10.0ms, 38.0% of total-time
Operation ival-div, time spent: 2.0ms, 8.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

series6.0ms (0.1%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
2.0ms
x
@-inf
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0ms
x
@inf
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.0ms
x
@-inf
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.0ms
x
@0
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite273.0ms (4.8%)

Algorithm
1×batch-egg-rewrite
Rules
992×unpow-prod-down
848×prod-diff
678×log1p-expm1-u
677×expm1-log1p-u
614×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01163
113763
2191163
Stop Event
1×node limit
Counts
3 → 195
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 x 1))
Outputs
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1)
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 x (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3))
(*.f64 x (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)) 1))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -2) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 1 1/3) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -2) 1) (pow.f64 (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) 1) (pow.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) 1) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 1) (pow.f64 (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) 1) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1))
(*.f64 (pow.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (/.f64 x (neg.f64 x)) 1) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) x) 1/3) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2) 1/3) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1/3))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 5/2) 1/3) (pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) -1) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) -1) (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 1) -1) (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) x) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 x)) -1))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
(pow.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 1) -1)
(neg.f64 (/.f64 x (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1))
(exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x)) -1))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (pow.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 2))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (pow.f64 (/.f64 1 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 3) (pow.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) 1/3) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 5/2) 1/3) (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 2) (pow.f64 (sqrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 2))
(/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2)
(pow.f64 (/.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1)
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) 1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 1)
(+.f64 0 (sqrt.f64 (+.f64 x 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(*.f64 (sqrt.f64 (+.f64 x 1)) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6))
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 2))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/6)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6)) 3))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 1/2) (pow.f64 (pow.f64 (+.f64 x 1) 3/4) 1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 3/4) 1/2) (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 1/2))
(*.f64 (pow.f64 (+.f64 1 (pow.f64 x 3)) 1/2) (pow.f64 (/.f64 1 (fma.f64 x x (-.f64 1 x))) 1/2))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/2) (pow.f64 (/.f64 1 (+.f64 x -1)) 1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 5/6) 1/2) (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 1/2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6)) (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6))) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6)) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/3) (pow.f64 (pow.f64 (+.f64 x 1) 5/6) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 3/4) 1/3) (pow.f64 (pow.f64 (+.f64 x 1) 3/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 3/2)) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4) 1/3) (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 5/4) 1/3) (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 2))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3)
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 x 1) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 x 1) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 (log1p.f64 x) 1/2)) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 (log1p.f64 x) 1/2) 3) 1/3))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) -1)
(fma.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) -1)

simplify128.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
736×exp-prod
652×associate-*l*
646×associate-*r*
600×cube-prod
592×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05297662
112917294
250087018
Stop Event
1×node limit
Counts
207 → 291
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
2
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1)
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 x (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3))
(*.f64 x (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)) 1))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -2) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 1 1/3) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -2) 1) (pow.f64 (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) 1) (pow.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) 1) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 1) (pow.f64 (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) 1) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1))
(*.f64 (pow.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (/.f64 x (neg.f64 x)) 1) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) x) 1/3) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2) 1/3) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1/3))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 5/2) 1/3) (pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) -1) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) -1) (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 1) -1) (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) x) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 x)) -1))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
(pow.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 1) -1)
(neg.f64 (/.f64 x (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1))
(exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x)) -1))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (pow.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 2))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (pow.f64 (/.f64 1 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 3) (pow.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) 1/3) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 5/2) 1/3) (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 2) (pow.f64 (sqrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 2))
(/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2)
(pow.f64 (/.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1)
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) 1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 1)
(+.f64 0 (sqrt.f64 (+.f64 x 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(*.f64 (sqrt.f64 (+.f64 x 1)) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6))
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 2))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/6)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6)) 3))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 1/2) (pow.f64 (pow.f64 (+.f64 x 1) 3/4) 1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 3/4) 1/2) (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 1/2))
(*.f64 (pow.f64 (+.f64 1 (pow.f64 x 3)) 1/2) (pow.f64 (/.f64 1 (fma.f64 x x (-.f64 1 x))) 1/2))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/2) (pow.f64 (/.f64 1 (+.f64 x -1)) 1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 5/6) 1/2) (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 1/2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6)) (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6))) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6)) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/3) (pow.f64 (pow.f64 (+.f64 x 1) 5/6) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 3/4) 1/3) (pow.f64 (pow.f64 (+.f64 x 1) 3/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 3/2)) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4) 1/3) (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 5/4) 1/3) (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 2))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3)
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 x 1) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 x 1) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 (log1p.f64 x) 1/2)) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 (log1p.f64 x) 1/2) 3) 1/3))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) -1)
(fma.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) -1)
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 -5/128 (pow.f64 x 4) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))))
2
(+.f64 2 (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) 2)
(fma.f64 1/2 x 2)
(+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 2 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(+.f64 2 (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x)) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (fma.f64 1/2 x 1))
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(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 3)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/6)) 2))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6)) 3))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3)
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 1/2) (pow.f64 (pow.f64 (+.f64 x 1) 3/4) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 (pow.f64 (+.f64 x 1) 3/4)))
(*.f64 (pow.f64 (+.f64 x 1) 1/8) (pow.f64 (+.f64 x 1) 3/8))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 3/4) 1/2) (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 (pow.f64 (+.f64 x 1) 3/4)))
(*.f64 (pow.f64 (+.f64 x 1) 1/8) (pow.f64 (+.f64 x 1) 3/8))
(*.f64 (pow.f64 (+.f64 1 (pow.f64 x 3)) 1/2) (pow.f64 (/.f64 1 (fma.f64 x x (-.f64 1 x))) 1/2))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1)) (sqrt.f64 (/.f64 1 (fma.f64 x x (-.f64 1 x)))))
(*.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (/.f64 1 (fma.f64 x x (-.f64 1 x)))))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/2) (pow.f64 (/.f64 1 (+.f64 x -1)) 1/2))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (/.f64 1 (+.f64 x -1))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 5/6) 1/2) (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/6)) (sqrt.f64 (pow.f64 (+.f64 x 1) 5/6)))
(*.f64 (pow.f64 (+.f64 x 1) 1/12) (pow.f64 (+.f64 x 1) 5/12))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 1))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 3)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 3))
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6)) (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6))) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6)) 3))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/6)) 3))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/3) (pow.f64 (pow.f64 (+.f64 x 1) 5/6) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (pow.f64 (+.f64 x 1) 5/6)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 3/4) 1/3) (pow.f64 (pow.f64 (+.f64 x 1) 3/4) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/4)) (cbrt.f64 (pow.f64 (+.f64 x 1) 3/4)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 3/2)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/4)) (cbrt.f64 (pow.f64 (+.f64 x 1) 3/4)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4) 1/3) (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 5/4) 1/3) (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) (cbrt.f64 (pow.f64 (+.f64 x 1) 5/4)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 2))
(sqrt.f64 (+.f64 x 1))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(pow.f64 (+.f64 x 1) 1/2)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3)
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(pow.f64 (pow.f64 (+.f64 x 1) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 x 1) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(sqrt.f64 (+.f64 x 1))
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 x 1))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 x 1))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(sqrt.f64 (+.f64 x 1))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(sqrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 (log1p.f64 x) 1/2)) 3))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 (*.f64 (log1p.f64 x) 1/2) 3) 1/3))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 x 1))
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(sqrt.f64 (+.f64 x 1))
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1 -1)
(sqrt.f64 (+.f64 x 1))
(fma.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) -1)
(sqrt.f64 (+.f64 x 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(sqrt.f64 (+.f64 x 1))
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) -1)
(sqrt.f64 (+.f64 x 1))
(fma.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(+.f64 -1 (/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 -1 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) -1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))) -1)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))))

eval108.0ms (1.9%)

Compiler

Compiled 4856 to 3918 computations (19.3% saved)

prune91.0ms (1.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2856291
Fresh000
Picked011
Done000
Total2857292
Accuracy
100.0%
Counts
292 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
97.4%
(/.f64 x (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
▶69.1%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶68.8%
(/.f64 x 2)
▶67.2%
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
▶37.7%
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
Compiler

Compiled 109 to 85 computations (22% saved)

localize381.0ms (6.8%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (+.f64 x 1))
✓37.7%
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
✓100.0%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
100.0%
(sqrt.f64 (+.f64 x 1))
100.0%
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
✓99.8%
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
✓99.5%
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
Compiler

Compiled 99 to 74 computations (25.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 159.0ms
Operation ival-add, time spent: 47.0ms, 30.0% of total-time
Operation ival-sqrt, time spent: 42.0ms, 26.0% of total-time
Operation ival-mult, time spent: 25.0ms, 16.0% of total-time
Operation ival-pow, time spent: 20.0ms, 13.0% of total-time
Operation ival-div, time spent: 16.0ms, 10.0% of total-time
Operation const, time spent: 10.0ms, 6.0% of total-time

series8.0ms (0.1%)

Counts
4 → 24
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
1.0ms
x
@inf
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
1.0ms
x
@inf
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
1.0ms
x
@-inf
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
1.0ms
x
@0
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))

rewrite135.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
1780×prod-diff
872×log1p-expm1-u
402×log1p-udef
400×expm1-udef
248×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019120
127487
2398887
Stop Event
1×node limit
Counts
4 → 192
Calls
Call 1
Inputs
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
Outputs
(+.f64 (sqrt.f64 (+.f64 1 x)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 1)
(-.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (+.f64 1 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x))))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 1)
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1))
(*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) 1) (-.f64 (pow.f64 (+.f64 1 x) 1/4) 1))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) -1))
(/.f64 -1 (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)))
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 (+.f64 1 x) (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) -1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) -1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))) 1)
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 x))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (/.f64 1 x)))
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) x))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (cbrt.f64 x)))
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 2)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) -1)
(neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (neg.f64 x)))
(sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2)))) 1)
(*.f64 1 (/.f64 x (fma.f64 x 1/2 2)))
(*.f64 x (/.f64 1 (fma.f64 x 1/2 2)))
(*.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 x 1/2) 3) 8)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 4 x)))
(*.f64 (/.f64 x (+.f64 (*.f64 (pow.f64 x 2) 1/4) -4)) (fma.f64 x 1/2 -2))
(pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)
(pow.f64 (/.f64 (fma.f64 x 1/2 2) x) -1)
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x 1/2 2))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2)))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 1)
(-.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (+.f64 1 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x))))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 1)
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1))
(*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) 1) (-.f64 (pow.f64 (+.f64 1 x) 1/4) 1))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) -1))
(/.f64 -1 (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)))
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 (+.f64 1 x) (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) -1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 3)
(pow.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2)) -1/2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 1)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) -1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) -1)

simplify110.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
1288×fma-def
880×distribute-rgt-in
852×distribute-lft-in
410×log-prod
324×distribute-lft-neg-out
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03607090
19036574
231586574
Stop Event
1×node limit
Counts
216 → 213
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(/.f64 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (*.f64 2 (/.f64 1 x))))
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 1/16 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/128 (pow.f64 x 4)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 1)
(-.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (+.f64 1 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x))))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 1)
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1))
(*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) 1) (-.f64 (pow.f64 (+.f64 1 x) 1/4) 1))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) -1))
(/.f64 -1 (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)))
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 (+.f64 1 x) (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) -1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) -1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))) 1)
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 x))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (/.f64 1 x)))
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) x))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (cbrt.f64 x)))
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 2)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) -1)
(neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (neg.f64 x)))
(sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2)))) 1)
(*.f64 1 (/.f64 x (fma.f64 x 1/2 2)))
(*.f64 x (/.f64 1 (fma.f64 x 1/2 2)))
(*.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 x 1/2) 3) 8)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 4 x)))
(*.f64 (/.f64 x (+.f64 (*.f64 (pow.f64 x 2) 1/4) -4)) (fma.f64 x 1/2 -2))
(pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)
(pow.f64 (/.f64 (fma.f64 x 1/2 2) x) -1)
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x 1/2 2))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2)))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 1)
(-.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (+.f64 1 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x))))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 1)
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1))
(*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) 1) (-.f64 (pow.f64 (+.f64 1 x) 1/4) 1))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) -1))
(/.f64 -1 (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)))
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 (+.f64 1 x) (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) -1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 3)
(pow.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2)) -1/2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 1)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) -1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) -1)
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x))
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(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(/.f64 x (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(/.f64 x (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(/.f64 x (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) 1) (-.f64 (pow.f64 (+.f64 1 x) 1/4) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) -1))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -1 (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 (+.f64 1 x) (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x))))))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(/.f64 x (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 3)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(pow.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2)) -1/2)
(pow.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 2)) -1/2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) -2) -1/2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 3) 1/3)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 3))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x)))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)

eval304.0ms (5.4%)

Compiler

Compiled 9714 to 8089 computations (16.7% saved)

prune78.0ms (1.4%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New6462648
Fresh011
Picked145
Done011
Total6478655
Accuracy
100.0%
Counts
655 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.3%
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
▶68.7%
(pow.f64 (+.f64 1/2 (/.f64 2 x)) -1)
▶97.4%
(/.f64 x (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
✓69.1%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓68.8%
(/.f64 x 2)
✓37.7%
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
▶4.6%
2
Compiler

Compiled 59 to 47 computations (20.3% saved)

localize108.0ms (1.9%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
✓99.6%
(pow.f64 (+.f64 1/2 (/.f64 2 x)) -1)
✓99.7%
(/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
✓99.7%
(/.f64 x (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
✓97.4%
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
Compiler

Compiled 51 to 34 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
Operation ival-div, time spent: 14.0ms, 29.0% of total-time
Operation ival-log1p, time spent: 9.0ms, 19.0% of total-time
Operation ival-mult, time spent: 8.0ms, 17.0% of total-time
Operation ival-expm1, time spent: 8.0ms, 17.0% of total-time
Operation ival-pow, time spent: 4.0ms, 8.0% of total-time
Operation ival-add, time spent: 3.0ms, 6.0% of total-time
Operation const, time spent: 2.0ms, 4.0% of total-time

series69.0ms (1.2%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
63.0ms
x
@-inf
(/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
2.0ms
x
@inf
(/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
1.0ms
x
@-inf
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
1.0ms
x
@inf
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
0.0ms
x
@0
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))

rewrite166.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
1028×log-prod
1007×log1p-expm1-u
1005×expm1-log1p-u
330×expm1-udef
330×log1p-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01785
122385
2309185
Stop Event
1×node limit
Counts
4 → 165
Calls
Call 1
Inputs
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
(/.f64 x (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(pow.f64 (+.f64 1/2 (/.f64 2 x)) -1)
Outputs
(+.f64 (pow.f64 (+.f64 x 1) 1/2) -1)
(+.f64 0 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(-.f64 (pow.f64 (+.f64 x 1) 1/2) 1)
(*.f64 x (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)
(*.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (/.f64 x (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (/.f64 x (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(*.f64 (/.f64 x 1) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))
(*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 x (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 -1 (neg.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 1 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 1 (/.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (cbrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 x)))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (/.f64 (neg.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 (/.f64 x (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 (/.f64 x 1) (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/2) 3) 1) (fma.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x 1) 1/2) (+.f64 1 (*.f64 (pow.f64 (+.f64 x 1) 1/2) 1))))
(/.f64 (fma.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x 1) 1/2) -1) (+.f64 (pow.f64 (+.f64 x 1) 1/2) 1))
(/.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) x)
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) -1)
(neg.f64 (/.f64 x (/.f64 (neg.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)))
(exp.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(fma.f64 1 (pow.f64 (+.f64 x 1) 1/2) -1)
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/2)) (cbrt.f64 (pow.f64 (+.f64 x 1) 1/2))) (cbrt.f64 (pow.f64 (+.f64 x 1) 1/2)) -1)
(fma.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/2)) (sqrt.f64 (pow.f64 (+.f64 x 1) 1/2)) -1)
(+.f64 (pow.f64 (+.f64 x 1) 1/2) -1)
(+.f64 0 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(-.f64 (pow.f64 (+.f64 x 1) 1/2) 1)
(*.f64 x (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)
(*.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (/.f64 x (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (/.f64 x (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(*.f64 (/.f64 x 1) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))
(*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) -1)
(neg.f64 (/.f64 x (/.f64 (neg.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)))
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(fma.f64 1 (pow.f64 (+.f64 x 1) 1/2) -1)
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/2)) (cbrt.f64 (pow.f64 (+.f64 x 1) 1/2))) (cbrt.f64 (pow.f64 (+.f64 x 1) 1/2)) -1)
(fma.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/2)) (sqrt.f64 (pow.f64 (+.f64 x 1) 1/2)) -1)
(+.f64 0 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (cbrt.f64 (exp.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) 1)
(*.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1)
(*.f64 1 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)) (/.f64 x (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 x (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1)
(pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)
(pow.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) -1)
(neg.f64 (/.f64 x (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2))
(log.f64 (exp.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(exp.f64 (log.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(+.f64 0 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) 1)
(*.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)
(*.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1))
(*.f64 (/.f64 1 (+.f64 (/.f64 8 (pow.f64 x 3)) 1/8)) (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) 1/2) 1/4))
(*.f64 (/.f64 1 (-.f64 1/4 (/.f64 4 (pow.f64 x 2)))) (-.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (neg.f64 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (/.f64 (+.f64 1/2 (/.f64 2 x)) 1))
(/.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (sqrt.f64 (+.f64 1/2 (/.f64 2 x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2)) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))

simplify127.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
578×log-prod
502×distribute-lft-neg-in
456×cancel-sign-sub-inv
452×exp-prod
442×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04258709
110618252
240757068
Stop Event
1×node limit
Counts
213 → 236
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(-.f64 (pow.f64 (/.f64 1 x) -1/2) 1)
(-.f64 (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (pow.f64 (/.f64 1 x) -1/2)) 1)
(-.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (pow.f64 (/.f64 1 x) -1/2))) 1)
(-.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (pow.f64 (/.f64 1 x) -1/2)))) 1)
(-.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1)
(-.f64 (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x))) 1)
(-.f64 (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 -1/8 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x)))) 1)
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(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
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(-.f64 (pow.f64 (/.f64 1 x) -1/2) 1)
(-.f64 (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (pow.f64 (/.f64 1 x) -1/2)) 1)
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2
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(+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
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(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
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2
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(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
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(+.f64 (pow.f64 (+.f64 x 1) 1/2) -1)
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(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))
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(*.f64 x (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)
(*.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (/.f64 x (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (/.f64 x (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(*.f64 (/.f64 x 1) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))
(*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) -1)
(neg.f64 (/.f64 x (/.f64 (neg.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)))
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(fma.f64 1 (pow.f64 (+.f64 x 1) 1/2) -1)
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/2)) (cbrt.f64 (pow.f64 (+.f64 x 1) 1/2))) (cbrt.f64 (pow.f64 (+.f64 x 1) 1/2)) -1)
(fma.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/2)) (sqrt.f64 (pow.f64 (+.f64 x 1) 1/2)) -1)
(+.f64 0 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (cbrt.f64 (exp.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) 1)
(*.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1)
(*.f64 1 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)) (/.f64 x (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 x (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1)
(pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)
(pow.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) -1)
(neg.f64 (/.f64 x (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2))
(log.f64 (exp.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(exp.f64 (log.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(+.f64 0 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) 1)
(*.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)
(*.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1))
(*.f64 (/.f64 1 (+.f64 (/.f64 8 (pow.f64 x 3)) 1/8)) (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) 1/2) 1/4))
(*.f64 (/.f64 1 (-.f64 1/4 (/.f64 4 (pow.f64 x 2)))) (-.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (neg.f64 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (/.f64 (+.f64 1/2 (/.f64 2 x)) 1))
(/.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (sqrt.f64 (+.f64 1/2 (/.f64 2 x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2)) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 -1/8 (pow.f64 x 2)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 -5/128 (pow.f64 x 4) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 -5/128 (pow.f64 x 4) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))))
(-.f64 (pow.f64 (/.f64 1 x) -1/2) 1)
(+.f64 (pow.f64 (/.f64 1 x) -1/2) -1)
(-.f64 (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (pow.f64 (/.f64 1 x) -1/2)) 1)
(+.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (pow.f64 (/.f64 1 x) -1/2)) -1)
(+.f64 (pow.f64 (/.f64 1 x) -1/2) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) -1))
(-.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (pow.f64 (/.f64 1 x) -1/2))) 1)
(+.f64 (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (pow.f64 (/.f64 1 x) -1/2))) -1)
(+.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (pow.f64 (/.f64 1 x) -1/2)) (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1))
(-.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (pow.f64 (/.f64 1 x) -1/2)))) 1)
(+.f64 (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (pow.f64 (/.f64 1 x) -1/2)))) -1)
(+.f64 (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (pow.f64 (/.f64 1 x) -1/2))) (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1))
(-.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1)
(expm1.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))))
(expm1.f64 (*.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(+.f64 -1 (sqrt.f64 x))
(-.f64 (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x))) 1)
(+.f64 (pow.f64 (exp.f64 1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (-.f64 (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) x)) 1))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x)) (expm1.f64 (*.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(+.f64 (sqrt.f64 x) (fma.f64 1/2 (/.f64 (sqrt.f64 x) x) -1))
(-.f64 (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 -1/8 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x)))) 1)
(+.f64 (pow.f64 (exp.f64 1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (-.f64 (fma.f64 -1/8 (/.f64 (pow.f64 (exp.f64 1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)) (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) x))) 1))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (*.f64 -1/8 (/.f64 (pow.f64 (exp.f64 1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 2)))) (expm1.f64 (*.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(+.f64 -1 (+.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 x) x) (sqrt.f64 x)) (/.f64 (*.f64 -1/8 (sqrt.f64 x)) (pow.f64 x 2))))
(-.f64 (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 -1/8 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (+.f64 (*.f64 1/16 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x))))) 1)
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2
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2
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2
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(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) x)
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)) (/.f64 x (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 x (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1)
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 3)
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3) 1/3)
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(pow.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) -1)
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(neg.f64 (/.f64 x (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(log.f64 (exp.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3)))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(expm1.f64 (log1p.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(exp.f64 (log.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 1))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(+.f64 0 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) 1)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(*.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(*.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -1))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1))
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -2)
(*.f64 (/.f64 1 (+.f64 (/.f64 8 (pow.f64 x 3)) 1/8)) (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) 1/2) 1/4))
(/.f64 (*.f64 1 (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) -1/2) 1/4)) (+.f64 1/8 (/.f64 8 (pow.f64 x 3))))
(/.f64 (fma.f64 (/.f64 2 x) (+.f64 -1/2 (/.f64 2 x)) 1/4) (+.f64 1/8 (/.f64 8 (pow.f64 x 3))))
(*.f64 (/.f64 1 (-.f64 1/4 (/.f64 4 (pow.f64 x 2)))) (-.f64 1/2 (/.f64 2 x)))
(/.f64 (+.f64 1/2 (/.f64 -2 x)) (+.f64 1/4 (/.f64 -4 (pow.f64 x 2))))
(/.f64 -1 (neg.f64 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (/.f64 (+.f64 1/2 (/.f64 2 x)) 1))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (sqrt.f64 (+.f64 1/2 (/.f64 2 x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2)) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 3))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))) 1))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))

eval117.0ms (2.1%)

Compiler

Compiled 5938 to 4623 computations (22.1% saved)

prune114.0ms (2%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New2342236
Fresh000
Picked213
Done055
Total2368244
Accuracy
100.0%
Counts
244 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.3%
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
✓69.1%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓68.8%
(/.f64 x 2)
▶68.7%
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
✓37.7%
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
▶97.4%
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
✓4.6%
2
Compiler

Compiled 55 to 45 computations (18.2% saved)

localize121.0ms (2.1%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓99.6%
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
97.4%
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
Compiler

Compiled 34 to 24 computations (29.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
Operation ival-mult, time spent: 58.0ms, 74.0% of total-time
Operation ival-div, time spent: 8.0ms, 10.0% of total-time
Operation ival-log1p, time spent: 5.0ms, 6.0% of total-time
Operation ival-add, time spent: 4.0ms, 5.0% of total-time
Operation ival-expm1, time spent: 3.0ms, 4.0% of total-time
Operation const, time spent: 2.0ms, 3.0% of total-time

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite76.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
760×unpow-prod-down
535×log1p-expm1-u
535×expm1-log1p-u
506×add-exp-log
484×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
111922
2152122
Stop Event
1×node limit
Counts
1 → 45
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
Outputs
(+.f64 0 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))) 1)
(*.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(*.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)
(*.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) (log.f64 (E.f64)))
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 (/.f64 2 x)) -1/2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -2) (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2))
(*.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -3) 1/8)) (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) 1/2) 1/4))
(*.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -3) 1/8)) (pow.f64 (/.f64 1 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) 1/2) 1/4)) -1))
(*.f64 (/.f64 1 (-.f64 1/4 (*.f64 (pow.f64 x -2) 4))) (-.f64 1/2 (/.f64 2 x)))
(*.f64 (/.f64 1 (-.f64 1/4 (*.f64 (pow.f64 x -2) 4))) (pow.f64 (/.f64 1 (-.f64 1/2 (/.f64 2 x))) -1))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))) 2) 3) (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -2)) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))))
(*.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -5/2) 1/3) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2)))
(pow.f64 (+.f64 1/2 (/.f64 2 x)) -1)
(pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) 3)
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2) 1/2)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3) 1/3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3) -1/3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) 2)
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -2)
(pow.f64 (E.f64) (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))))
(pow.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 2 x)) -1/2)) -1)
(pow.f64 (exp.f64 -1) (log.f64 (+.f64 1/2 (/.f64 2 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))))) (sqrt.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))))))
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3)) 1/3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 1/2 (/.f64 2 x)))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))

simplify73.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
772×associate-*r*
710×associate-*l*
550×fma-neg
512×fma-def
494×exp-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01661836
14291773
210411751
346121691
Stop Event
1×node limit
Counts
57 → 87
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/128 (pow.f64 x 4)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 0 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))) 1)
(*.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(*.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)
(*.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) (log.f64 (E.f64)))
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 (/.f64 2 x)) -1/2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -2) (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2))
(*.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -3) 1/8)) (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) 1/2) 1/4))
(*.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -3) 1/8)) (pow.f64 (/.f64 1 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) 1/2) 1/4)) -1))
(*.f64 (/.f64 1 (-.f64 1/4 (*.f64 (pow.f64 x -2) 4))) (-.f64 1/2 (/.f64 2 x)))
(*.f64 (/.f64 1 (-.f64 1/4 (*.f64 (pow.f64 x -2) 4))) (pow.f64 (/.f64 1 (-.f64 1/2 (/.f64 2 x))) -1))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))) 2) 3) (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -2)) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))))
(*.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -5/2) 1/3) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2)))
(pow.f64 (+.f64 1/2 (/.f64 2 x)) -1)
(pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) 3)
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2) 1/2)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3) 1/3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3) -1/3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) 2)
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -2)
(pow.f64 (E.f64) (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))))
(pow.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 2 x)) -1/2)) -1)
(pow.f64 (exp.f64 -1) (log.f64 (+.f64 1/2 (/.f64 2 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))))) (sqrt.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))))))
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3)) 1/3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 1/2 (/.f64 2 x)))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 -1/8 (pow.f64 x 2)))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/32 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x (*.f64 1/32 (pow.f64 x 3))))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) (+.f64 (*.f64 x 1/32) -1/8)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/128 (pow.f64 x 4)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 -1/128 (pow.f64 x 4) (fma.f64 1/32 (pow.f64 x 3) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 -1/128 (pow.f64 x 4) (fma.f64 1/2 x (*.f64 1/32 (pow.f64 x 3)))))
(fma.f64 -1/128 (pow.f64 x 4) (fma.f64 1/2 x (*.f64 (pow.f64 x 2) (+.f64 (*.f64 x 1/32) -1/8))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (/.f64 32 (pow.f64 x 2))) (/.f64 8 x))
(+.f64 (/.f64 32 (pow.f64 x 2)) (+.f64 2 (/.f64 -8 x)))
(+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 32 (pow.f64 x 2)))
(+.f64 2 (fma.f64 32 (pow.f64 x -2) (/.f64 -8 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 2 (/.f64 32 (pow.f64 x 2))) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3))))
(+.f64 (+.f64 2 (/.f64 32 (pow.f64 x 2))) (-.f64 (/.f64 -8 x) (/.f64 128 (pow.f64 x 3))))
(+.f64 2 (+.f64 (/.f64 32 (pow.f64 x 2)) (-.f64 (/.f64 -8 x) (/.f64 128 (pow.f64 x 3)))))
(-.f64 (+.f64 2 (fma.f64 32 (pow.f64 x -2) (/.f64 -8 x))) (/.f64 128 (pow.f64 x 3)))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (/.f64 32 (pow.f64 x 2))) (/.f64 8 x))
(+.f64 (/.f64 32 (pow.f64 x 2)) (+.f64 2 (/.f64 -8 x)))
(+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 32 (pow.f64 x 2)))
(+.f64 2 (fma.f64 32 (pow.f64 x -2) (/.f64 -8 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 2 (/.f64 32 (pow.f64 x 2))) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3))))
(+.f64 (+.f64 2 (/.f64 32 (pow.f64 x 2))) (-.f64 (/.f64 -8 x) (/.f64 128 (pow.f64 x 3))))
(+.f64 2 (+.f64 (/.f64 32 (pow.f64 x 2)) (-.f64 (/.f64 -8 x) (/.f64 128 (pow.f64 x 3)))))
(-.f64 (+.f64 2 (fma.f64 32 (pow.f64 x -2) (/.f64 -8 x))) (/.f64 128 (pow.f64 x 3)))
(+.f64 0 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))) 1)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(*.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(*.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(*.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) (log.f64 (E.f64)))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 (/.f64 2 x)) -1/2)))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -2))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -2) (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(*.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -3) 1/8)) (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) 1/2) 1/4))
(*.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -3) 1/8)) (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) -1/2) 1/4))
(/.f64 (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) -1/2) 1/4) (fma.f64 8 (pow.f64 x -3) 1/8))
(*.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -3) 1/8)) (pow.f64 (/.f64 1 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) 1/2) 1/4)) -1))
(*.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -3) 1/8)) (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) -1/2) 1/4))
(/.f64 (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) -1/2) 1/4) (fma.f64 8 (pow.f64 x -3) 1/8))
(*.f64 (/.f64 1 (-.f64 1/4 (*.f64 (pow.f64 x -2) 4))) (-.f64 1/2 (/.f64 2 x)))
(*.f64 (/.f64 1 (-.f64 1/4 (*.f64 4 (pow.f64 x -2)))) (-.f64 1/2 (/.f64 2 x)))
(/.f64 (-.f64 1/2 (/.f64 2 x)) (-.f64 1/4 (*.f64 4 (pow.f64 x -2))))
(/.f64 (+.f64 1/2 (/.f64 -2 x)) (fma.f64 (pow.f64 x -2) -4 1/4))
(/.f64 (-.f64 1/2 (/.f64 2 x)) (fma.f64 (pow.f64 x -2) -4 1/4))
(*.f64 (/.f64 1 (-.f64 1/4 (*.f64 (pow.f64 x -2) 4))) (pow.f64 (/.f64 1 (-.f64 1/2 (/.f64 2 x))) -1))
(*.f64 (/.f64 1 (-.f64 1/4 (*.f64 4 (pow.f64 x -2)))) (-.f64 1/2 (/.f64 2 x)))
(/.f64 (-.f64 1/2 (/.f64 2 x)) (-.f64 1/4 (*.f64 4 (pow.f64 x -2))))
(/.f64 (+.f64 1/2 (/.f64 -2 x)) (fma.f64 (pow.f64 x -2) -4 1/4))
(/.f64 (-.f64 1/2 (/.f64 2 x)) (fma.f64 (pow.f64 x -2) -4 1/4))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))) 2) 3) (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))) 3))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3/2)) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3/2)))
(pow.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3/2) 1/6) 4)
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -2)) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))))
(*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -2) (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2))))
(*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))) (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) 8)))
(*.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -5/2) 1/3) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -5/2)) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2)))
(pow.f64 (+.f64 1/2 (/.f64 2 x)) -1)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) 3)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -3)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2) 1/2)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3) 1/3)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2) -1/2)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3) -1/6) (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3) -1/6))
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) 2)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -2)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(pow.f64 (E.f64) (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))))
(pow.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 2 x)) -1/2)) -1)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(pow.f64 (exp.f64 -1) (log.f64 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))))) (sqrt.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))))))
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))) 3))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3)) 1/3))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 1/2 (/.f64 2 x)))) 2))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))

eval80.0ms (1.4%)

Compiler

Compiled 2930 to 2359 computations (19.5% saved)

prune28.0ms (0.5%)

Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New1921193
Fresh000
Picked022
Done066
Total1929201
Accuracy
100.0%
Counts
201 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.3%
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
✓69.1%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓68.8%
(/.f64 x 2)
✓68.7%
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
✓37.7%
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
33.2%
(+.f64 -1 (sqrt.f64 x))
✓97.4%
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
✓4.6%
2
Compiler

Compiled 137 to 108 computations (21.2% saved)

regimes17.0ms (0.3%)

Counts
12 → 1
Calls
Call 1
Inputs
2
(/.f64 x 2)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(+.f64 -1 (sqrt.f64 x))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (+.f64 1/2 (/.f64 2 x)) -1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
(/.f64 x (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Calls

2 calls:

8.0ms
x
8.0ms
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes11.0ms (0.2%)

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

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
99.7%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.2%)

Counts
5 → 2
Calls
Call 1
Inputs
2
(/.f64 x 2)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(+.f64 -1 (sqrt.f64 x))
Outputs
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(+.f64 -1 (sqrt.f64 x))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
99.4%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
69.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

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

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
68.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
2
Outputs
2
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
4.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch20.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
1.937211552780639e-13
0.00018768640940604816
Results
17.0ms143×256valid
0.0ms1×256valid
Compiler

Compiled 166 to 136 computations (18.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
Operation ival-add, time spent: 2.0ms, 40.0% of total-time
Operation ival-sqrt, time spent: 2.0ms, 40.0% of total-time
Operation ival-div, time spent: 1.0ms, 20.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch24.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
24.0ms
0.02408461370254389
7.214249049503111e+19
Results
19.0ms175×256valid
0.0ms1×256valid
Compiler

Compiled 178 to 142 computations (20.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
Operation ival-add, time spent: 2.0ms, 33.0% of total-time
Operation ival-sqrt, time spent: 2.0ms, 33.0% of total-time
Operation ival-div, time spent: 1.0ms, 17.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
10×+-commutative
3×1-exp
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030173
141173
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 6139076427730539/1180591620717411303424) (/.f64 x (+.f64 (*.f64 1/2 x) 2)) (+.f64 -1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 4) (/.f64 x (+.f64 (*.f64 1/2 x) 2)) (+.f64 -1 (sqrt.f64 x)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x 2)
2
Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 6139076427730539/1180591620717411303424) (/.f64 x (+.f64 (*.f64 1/2 x) 2)) (+.f64 -1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 6139076427730539/1180591620717411303424) (/.f64 x (+.f64 (*.f64 x 1/2) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(if (<=.f64 x 4) (/.f64 x (+.f64 (*.f64 1/2 x) 2)) (+.f64 -1 (sqrt.f64 x)))
(if (<=.f64 x 4) (/.f64 x (+.f64 (*.f64 x 1/2) 2)) (+.f64 -1 (sqrt.f64 x)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x (+.f64 (*.f64 x 1/2) 2))
(/.f64 x 2)
2
Compiler

Compiled 57 to 44 computations (22.8% saved)

soundness1.0s (17.8%)

Rules
1028×log-prod
1007×log1p-expm1-u
1005×expm1-log1p-u
992×unpow-prod-down
992×unpow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05297662
112917294
250087018
01163
113763
2191163
01785
122385
2309185
04258709
110618252
240757068
01163
113763
2191163
05297662
112917294
250087018
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 667 to 534 computations (19.9% saved)

end0.0ms (0%)

preprocess52.0ms (0.9%)

Compiler

Compiled 122 to 92 computations (24.6% saved)

Profiling

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