Asymptote B

Time bar (total: 2.7s)

analyze3.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
75%75%25%0%0%0%0%4
87.5%87.5%12.5%0%0%0%0%5
93.8%93.7%6.2%0%0%0%0%6
96.9%96.8%3.1%0%0%0%0%7
98.4%98.4%1.6%0%0%0%0%8
99.2%99.2%0.8%0%0%0%0%9
99.6%99.6%0.4%0%0%0%0%10
99.8%99.8%0.2%0%0%0%0%11
99.9%99.9%0.1%0%0%0%0%12
Compiler

Compiled 13 to 10 computations (23.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
Operation ival-div, time spent: 1.0ms, 73.0% of total-time
Operation ival-add, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

sample1.0s (38.3%)

Results
952.0ms8255×256valid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 350.0ms
Operation ival-div, time spent: 169.0ms, 48.0% of total-time
Operation ival-add, time spent: 91.0ms, 26.0% of total-time
Operation ival-sub, time spent: 68.0ms, 19.0% of total-time
Operation const, time spent: 23.0ms, 7.0% of total-time
Bogosity

preprocess200.0ms (7.4%)

Algorithm
1×egg-herbie
Rules
1228×fma-def
314×div-sub
180×times-frac
146×fma-neg
140×sub-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(/.f64 x (+.f64 x 1))
00-0-(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
00-0-(/.f64 1 (-.f64 x 1))
00-0-(+.f64 x 1)
00-0-1
00-0-(-.f64 x 1)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019188
141164
278160
3158160
4375160
5845160
61229160
71589160
81916160
91918160
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 1 (-.f64 (neg.f64 x) 1)) (/.f64 (neg.f64 x) (+.f64 (neg.f64 x) 1)))
(neg.f64 (+.f64 (/.f64 1 (-.f64 (neg.f64 x) 1)) (/.f64 (neg.f64 x) (+.f64 (neg.f64 x) 1))))
Outputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 1 (-.f64 (neg.f64 x) 1)) (/.f64 (neg.f64 x) (+.f64 (neg.f64 x) 1)))
(+.f64 (/.f64 1 (+.f64 (neg.f64 x) -1)) (/.f64 (neg.f64 x) (+.f64 1 (neg.f64 x))))
(-.f64 (/.f64 1 (fma.f64 -1 x -1)) (/.f64 x (-.f64 1 x)))
(-.f64 (/.f64 1 (-.f64 -1 x)) (/.f64 x (-.f64 1 x)))
(+.f64 (/.f64 1 (-.f64 -1 x)) (/.f64 x (+.f64 x -1)))
(neg.f64 (+.f64 (/.f64 1 (-.f64 (neg.f64 x) 1)) (/.f64 (neg.f64 x) (+.f64 (neg.f64 x) 1))))
(neg.f64 (+.f64 (/.f64 1 (+.f64 (neg.f64 x) -1)) (/.f64 (neg.f64 x) (+.f64 1 (neg.f64 x)))))
(+.f64 (/.f64 -1 (fma.f64 -1 x -1)) (/.f64 x (-.f64 1 x)))
(+.f64 (/.f64 -1 (-.f64 -1 x)) (/.f64 x (-.f64 1 x)))
Compiler

Compiled 74 to 53 computations (28.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
Operation ival-div, time spent: 16.0ms, 41.0% of total-time
Operation ival-add, time spent: 11.0ms, 28.0% of total-time
Operation ival-sub, time spent: 9.0ms, 23.0% of total-time
Operation const, time spent: 3.0ms, 8.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 23 to 17 computations (26.1% saved)

prune1.0ms (0%)

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

Compiled 12 to 9 computations (25% saved)

localize54.0ms (2%)

Localize:

Found 1 expressions with local error:

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

Compiled 32 to 23 computations (28.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
Operation ival-add, time spent: 9.0ms, 45.0% of total-time
Operation ival-div, time spent: 9.0ms, 45.0% of total-time
Operation const, time spent: 2.0ms, 10.0% of total-time

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite183.0ms (6.8%)

Algorithm
1×batch-egg-rewrite
Rules
556×unpow-prod-down
391×log1p-expm1-u
391×expm1-log1p-u
369×add-exp-log
354×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
18816
2108716
Stop Event
1×node limit
Counts
1 → 49
Calls
Call 1
Inputs
(/.f64 1 (+.f64 x -1))
Outputs
(+.f64 0 (/.f64 1 (+.f64 x -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 1)
(*.f64 1 (/.f64 1 (+.f64 x -1)))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 x -1))))
(*.f64 (/.f64 1 (+.f64 x -1)) 1)
(*.f64 (/.f64 1 (+.f64 x -1)) (log.f64 (E.f64)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (pow.f64 (cbrt.f64 (+.f64 x -1)) -2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) -2) (/.f64 1 (cbrt.f64 (+.f64 x -1))))
(*.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (*.f64 x -1)))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (pow.f64 (/.f64 1 (-.f64 (fma.f64 x x 1) (*.f64 x -1))) -1))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (pow.f64 (/.f64 1 (+.f64 x 1)) -1))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 x -1)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) 1) -1) (pow.f64 (-.f64 (sqrt.f64 x) 1) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x -1) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x -1) -3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (cbrt.f64 (+.f64 x -1)) -2)) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x -1) -5/2) 1/3) (cbrt.f64 (pow.f64 (+.f64 x -1) -1/2)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 x -1) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 x -1) -3))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (cbrt.f64 (+.f64 x -1)) -2))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -5/2)) (cbrt.f64 (pow.f64 (+.f64 x -1) -1/2)))
(pow.f64 (+.f64 x -1) -1)
(pow.f64 (/.f64 1 (+.f64 x -1)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) 3)
(pow.f64 (cbrt.f64 (+.f64 x -1)) -3)
(pow.f64 (pow.f64 (+.f64 x -1) -2) 1/2)
(pow.f64 (pow.f64 (+.f64 x -1) -3) 1/3)
(pow.f64 (pow.f64 (+.f64 x -1) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 x -1) 3) -1/3)
(pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)
(pow.f64 (sqrt.f64 (+.f64 x -1)) -2)
(pow.f64 (E.f64) (neg.f64 (log.f64 (+.f64 x -1))))
(pow.f64 (exp.f64 -1) (log.f64 (+.f64 x -1)))
(pow.f64 (neg.f64 (neg.f64 (+.f64 x -1))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 x -1)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (+.f64 x -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 x -1))))) (sqrt.f64 (neg.f64 (log.f64 (+.f64 x -1)))))
(sqrt.f64 (pow.f64 (+.f64 x -1) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))
(cbrt.f64 (pow.f64 (+.f64 x -1) -3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x -1) -3/2) (pow.f64 (+.f64 x -1) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 x -1)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x -1) -3)) 1/3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 x -1))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))

simplify79.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
1400×fma-neg
738×associate-*r*
690×associate-*l*
554×cancel-sign-sub-inv
536×fma-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01681762
14121700
210041668
347101599
Stop Event
1×node limit
Counts
61 → 89
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 3)))) 1)
(/.f64 1 x)
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 0 (/.f64 1 (+.f64 x -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 1)
(*.f64 1 (/.f64 1 (+.f64 x -1)))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 x -1))))
(*.f64 (/.f64 1 (+.f64 x -1)) 1)
(*.f64 (/.f64 1 (+.f64 x -1)) (log.f64 (E.f64)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (pow.f64 (cbrt.f64 (+.f64 x -1)) -2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) -2) (/.f64 1 (cbrt.f64 (+.f64 x -1))))
(*.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (*.f64 x -1)))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (pow.f64 (/.f64 1 (-.f64 (fma.f64 x x 1) (*.f64 x -1))) -1))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (pow.f64 (/.f64 1 (+.f64 x 1)) -1))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 x -1)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) 1) -1) (pow.f64 (-.f64 (sqrt.f64 x) 1) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x -1) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x -1) -3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (cbrt.f64 (+.f64 x -1)) -2)) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x -1) -5/2) 1/3) (cbrt.f64 (pow.f64 (+.f64 x -1) -1/2)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 x -1) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 x -1) -3))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (cbrt.f64 (+.f64 x -1)) -2))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -5/2)) (cbrt.f64 (pow.f64 (+.f64 x -1) -1/2)))
(pow.f64 (+.f64 x -1) -1)
(pow.f64 (/.f64 1 (+.f64 x -1)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) 3)
(pow.f64 (cbrt.f64 (+.f64 x -1)) -3)
(pow.f64 (pow.f64 (+.f64 x -1) -2) 1/2)
(pow.f64 (pow.f64 (+.f64 x -1) -3) 1/3)
(pow.f64 (pow.f64 (+.f64 x -1) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 x -1) 3) -1/3)
(pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)
(pow.f64 (sqrt.f64 (+.f64 x -1)) -2)
(pow.f64 (E.f64) (neg.f64 (log.f64 (+.f64 x -1))))
(pow.f64 (exp.f64 -1) (log.f64 (+.f64 x -1)))
(pow.f64 (neg.f64 (neg.f64 (+.f64 x -1))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 x -1)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (+.f64 x -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 x -1))))) (sqrt.f64 (neg.f64 (log.f64 (+.f64 x -1)))))
(sqrt.f64 (pow.f64 (+.f64 x -1) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))
(cbrt.f64 (pow.f64 (+.f64 x -1) -3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x -1) -3/2) (pow.f64 (+.f64 x -1) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 x -1)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x -1) -3)) 1/3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 x -1))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))
Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 (pow.f64 x 2))) 1)
(+.f64 (*.f64 -1 (+.f64 x (pow.f64 x 2))) -1)
(fma.f64 -1 (+.f64 x (pow.f64 x 2)) -1)
(-.f64 -1 (fma.f64 x x x))
(fma.f64 x (-.f64 -1 x) -1)
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -1 x (*.f64 -1 (+.f64 (pow.f64 x 2) (pow.f64 x 3)))) -1)
(+.f64 -1 (-.f64 (neg.f64 (fma.f64 x x (pow.f64 x 3))) x))
(fma.f64 -1 (fma.f64 (+.f64 x 1) x (pow.f64 x 3)) -1)
(-.f64 -1 (fma.f64 (pow.f64 x 2) (+.f64 x 1) x))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 0 (/.f64 1 (+.f64 x -1)))
(/.f64 1 (+.f64 -1 x))
(/.f64 -1 (-.f64 1 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 -1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 -1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 -1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))
(/.f64 1 (+.f64 -1 x))
(/.f64 -1 (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 1)
(/.f64 1 (+.f64 -1 x))
(/.f64 -1 (-.f64 1 x))
(*.f64 1 (/.f64 1 (+.f64 x -1)))
(/.f64 1 (+.f64 -1 x))
(/.f64 -1 (-.f64 1 x))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 x -1))))
(/.f64 1 (+.f64 -1 x))
(/.f64 -1 (-.f64 1 x))
(*.f64 (/.f64 1 (+.f64 x -1)) 1)
(/.f64 1 (+.f64 -1 x))
(/.f64 -1 (-.f64 1 x))
(*.f64 (/.f64 1 (+.f64 x -1)) (log.f64 (E.f64)))
(/.f64 1 (+.f64 -1 x))
(/.f64 -1 (-.f64 1 x))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (pow.f64 (cbrt.f64 (+.f64 x -1)) -2))
(/.f64 1 (+.f64 -1 x))
(/.f64 -1 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) -2) (/.f64 1 (cbrt.f64 (+.f64 x -1))))
(/.f64 1 (+.f64 -1 x))
(/.f64 -1 (-.f64 1 x))
(*.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))
(/.f64 1 (+.f64 -1 x))
(/.f64 -1 (-.f64 1 x))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (*.f64 x -1)))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)))
(/.f64 (+.f64 x (fma.f64 x x 1)) (+.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (pow.f64 (/.f64 1 (-.f64 (fma.f64 x x 1) (*.f64 x -1))) -1))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)))
(/.f64 (+.f64 x (fma.f64 x x 1)) (+.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1))
(/.f64 1 (+.f64 -1 x))
(/.f64 -1 (-.f64 1 x))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (pow.f64 (/.f64 1 (+.f64 x 1)) -1))
(/.f64 1 (+.f64 -1 x))
(/.f64 -1 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 x -1)))
(/.f64 1 (+.f64 -1 x))
(/.f64 -1 (-.f64 1 x))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) 1) -1) (pow.f64 (-.f64 (sqrt.f64 x) 1) -1))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) (/.f64 1 (+.f64 (sqrt.f64 x) -1)))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) (/.f64 1 (+.f64 -1 (sqrt.f64 x))))
(/.f64 (/.f64 1 (+.f64 -1 (sqrt.f64 x))) (+.f64 1 (sqrt.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1)))) 3))
(/.f64 1 (+.f64 -1 x))
(/.f64 -1 (-.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x -1) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x -1) -3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 -1 x) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 -1 x) -3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1 x) -3/2)) (cbrt.f64 (pow.f64 (+.f64 -1 x) -3/2)))
(pow.f64 (pow.f64 (pow.f64 (+.f64 -1 x) -3/2) 1/6) 4)
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (cbrt.f64 (+.f64 x -1)) -2)) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2) (pow.f64 (+.f64 -1 x) -2))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 -1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 -1 x))) 8)) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 -1 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x -1) -5/2) 1/3) (cbrt.f64 (pow.f64 (+.f64 x -1) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1 x) -5/2)) (cbrt.f64 (pow.f64 (+.f64 -1 x) -1/2)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 x -1) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 x -1) -3))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 -1 x) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 -1 x) -3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1 x) -3/2)) (cbrt.f64 (pow.f64 (+.f64 -1 x) -3/2)))
(pow.f64 (pow.f64 (pow.f64 (+.f64 -1 x) -3/2) 1/6) 4)
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (cbrt.f64 (+.f64 x -1)) -2))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) -2) (pow.f64 (+.f64 -1 x) -2))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 -1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 -1 x))) 8)) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 -1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -5/2)) (cbrt.f64 (pow.f64 (+.f64 x -1) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1 x) -5/2)) (cbrt.f64 (pow.f64 (+.f64 -1 x) -1/2)))
(pow.f64 (+.f64 x -1) -1)
(/.f64 1 (+.f64 -1 x))
(/.f64 -1 (-.f64 1 x))
(pow.f64 (/.f64 1 (+.f64 x -1)) 1)
(/.f64 1 (+.f64 -1 x))
(/.f64 -1 (-.f64 1 x))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) 3)
(/.f64 1 (+.f64 -1 x))
(/.f64 -1 (-.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 x -1)) -3)
(/.f64 1 (+.f64 -1 x))
(/.f64 -1 (-.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x -1) -2) 1/2)
(/.f64 1 (+.f64 -1 x))
(/.f64 -1 (-.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x -1) -3) 1/3)
(/.f64 1 (+.f64 -1 x))
(/.f64 -1 (-.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x -1) 2) -1/2)
(/.f64 1 (+.f64 -1 x))
(/.f64 -1 (-.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x -1) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (+.f64 -1 x) 3) -1/6) (pow.f64 (pow.f64 (+.f64 -1 x) 3) -1/6))
(pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)
(/.f64 1 (+.f64 -1 x))
(/.f64 -1 (-.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 x -1)) -2)
(/.f64 1 (+.f64 -1 x))
(/.f64 -1 (-.f64 1 x))
(pow.f64 (E.f64) (neg.f64 (log.f64 (+.f64 x -1))))
(pow.f64 (E.f64) (neg.f64 (log.f64 (+.f64 -1 x))))
(pow.f64 (exp.f64 -1) (log.f64 (+.f64 x -1)))
(/.f64 1 (+.f64 -1 x))
(/.f64 -1 (-.f64 1 x))
(pow.f64 (neg.f64 (neg.f64 (+.f64 x -1))) -1)
(/.f64 1 (+.f64 -1 x))
(/.f64 -1 (-.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 x -1)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (+.f64 x -1)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 -1 x)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (+.f64 -1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 x -1))))) (sqrt.f64 (neg.f64 (log.f64 (+.f64 x -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 -1 x))))) (sqrt.f64 (neg.f64 (log.f64 (+.f64 -1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x -1) -2))
(/.f64 1 (+.f64 -1 x))
(/.f64 -1 (-.f64 1 x))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))
(/.f64 1 (+.f64 -1 x))
(/.f64 -1 (-.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x -1) -3))
(/.f64 1 (+.f64 -1 x))
(/.f64 -1 (-.f64 1 x))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x -1) -3/2) (pow.f64 (+.f64 x -1) 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 x) -3/2) (pow.f64 (+.f64 -1 x) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))
(/.f64 1 (+.f64 -1 x))
(/.f64 -1 (-.f64 1 x))
(exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))
(/.f64 1 (+.f64 -1 x))
(/.f64 -1 (-.f64 1 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 x -1)))) 3))
(/.f64 1 (+.f64 -1 x))
(/.f64 -1 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x -1) -3)) 1/3))
(/.f64 1 (+.f64 -1 x))
(/.f64 -1 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 x -1))) 2))
(/.f64 1 (+.f64 -1 x))
(/.f64 -1 (-.f64 1 x))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))
(/.f64 1 (+.f64 -1 x))
(/.f64 -1 (-.f64 1 x))

eval53.0ms (2%)

Compiler

Compiled 1503 to 1154 computations (23.2% saved)

prune14.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New86389
Fresh000
Picked011
Done000
Total86490
Accuracy
100.0%
Counts
90 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))
▶53.1%
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 x))
▶49.6%
(+.f64 (/.f64 x (+.f64 1 x)) (-.f64 -1 x))
▶49.4%
(+.f64 (/.f64 x (+.f64 1 x)) -1)
Compiler

Compiled 40 to 29 computations (27.5% saved)

localize167.0ms (6.1%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 x))
✓51.7%
(+.f64 (/.f64 x (+.f64 1 x)) -1)
Compiler

Compiled 65 to 43 computations (33.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
Operation ival-div, time spent: 65.0ms, 63.0% of total-time
Operation ival-add, time spent: 29.0ms, 28.0% of total-time
Operation const, time spent: 5.0ms, 5.0% of total-time
Operation ival-sub, time spent: 5.0ms, 5.0% of total-time

series1.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite113.0ms (4.2%)

Algorithm
1×batch-egg-rewrite
Rules
1092×fma-def
1051×log1p-expm1-u
1050×expm1-log1p-u
408×fma-neg
304×expm1-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01259
117759
2281559
Stop Event
1×node limit
Counts
2 → 126
Calls
Call 1
Inputs
(+.f64 (/.f64 x (+.f64 1 x)) -1)
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 x))
Outputs
(-.f64 (/.f64 x (+.f64 x 1)) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (+.f64 (/.f64 x (+.f64 x 1)) 1)) (/.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) 1)))
(*.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) -1))
(*.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)) 2) (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)) (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 1 (/.f64 -1 (/.f64 (+.f64 x 1) x))))))
(*.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) -1) (/.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) 1)))
(*.f64 (+.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 1) (-.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 1 (/.f64 -1 (/.f64 (+.f64 x 1) x)))) (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 x (+.f64 x 1)) 1) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) -1)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 1 (/.f64 -1 (/.f64 (+.f64 x 1) x)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 -1 (/.f64 (+.f64 x 1) x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) -1) (+.f64 (/.f64 x (+.f64 x 1)) 1))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 1 (/.f64 -1 (/.f64 (+.f64 x 1) x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) -1)) (neg.f64 (+.f64 (/.f64 x (+.f64 x 1)) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (-.f64 -1 (/.f64 x (+.f64 x 1))))
(pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 3))
(expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))
(exp.f64 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)))
(fma.f64 x (/.f64 1 (+.f64 x 1)) -1)
(fma.f64 1 (/.f64 x (+.f64 x 1)) -1)
(fma.f64 (/.f64 x (+.f64 x 1)) 1 -1)
(fma.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (cbrt.f64 (/.f64 x (+.f64 x 1))) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x 1))) -1)
(fma.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1))) -1)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x 1))) -1)
(fma.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1 x -1)) -1)
(fma.f64 (/.f64 1 (+.f64 x 1)) x -1)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))) -1)
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x 1)) -1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 x 1))) -1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x 1)) -1)
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1))) -1)
(fma.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1) -1)
(fma.f64 (/.f64 x (-.f64 1 (pow.f64 x 2))) (-.f64 1 x) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x))))
(*.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x)))
(*.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x))) 2) (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x))) (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x))))
(*.f64 (fma.f64 x x (+.f64 x 1)) (/.f64 1 (*.f64 x (+.f64 x 1))))
(*.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 x -2) (/.f64 x (*.f64 x (+.f64 x 1)))))))
(*.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 x -2)) (/.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x))))
(/.f64 1 (/.f64 (*.f64 x (+.f64 x 1)) (fma.f64 x x (+.f64 x 1))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 x -2) (/.f64 x (*.f64 x (+.f64 x 1))))) (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3))))
(/.f64 1 (/.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x)) (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 x -2))))
(/.f64 (fma.f64 x x (+.f64 x 1)) (*.f64 x (+.f64 x 1)))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 x -2) (/.f64 x (*.f64 x (+.f64 x 1))))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 x (*.f64 x (+.f64 x 1))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 x -2)) (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x)))
(/.f64 (fma.f64 x (neg.f64 x) (*.f64 (+.f64 x 1) -1)) (*.f64 (+.f64 x 1) (neg.f64 x)))
(/.f64 (+.f64 x (*.f64 (/.f64 (+.f64 x 1) x) 1)) (*.f64 (/.f64 (+.f64 x 1) x) x))
(/.f64 (fma.f64 -1 x (*.f64 (/.f64 (+.f64 x 1) x) -1)) (*.f64 (/.f64 (+.f64 x 1) x) (neg.f64 x)))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 -1 x -1) 1)) (*.f64 (fma.f64 -1 x -1) x))
(/.f64 (fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (fma.f64 -1 x -1) -1)) (*.f64 (fma.f64 -1 x -1) (neg.f64 x)))
(/.f64 (+.f64 (/.f64 (+.f64 x 1) x) x) (*.f64 x (/.f64 (+.f64 x 1) x)))
(/.f64 (+.f64 (fma.f64 -1 x -1) (*.f64 x (neg.f64 x))) (*.f64 x (fma.f64 -1 x -1)))
(/.f64 (+.f64 (fma.f64 -1 x -1) (neg.f64 (pow.f64 x 2))) (*.f64 (neg.f64 x) (+.f64 x 1)))
(/.f64 (fma.f64 -1 (/.f64 (+.f64 x 1) x) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (/.f64 (+.f64 x 1) x)))
(/.f64 (fma.f64 -1 (fma.f64 -1 x -1) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (fma.f64 -1 x -1)))
(/.f64 (neg.f64 (fma.f64 x x (+.f64 x 1))) (neg.f64 (*.f64 x (+.f64 x 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 x -2) (/.f64 x (*.f64 x (+.f64 x 1)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 x -2))) (neg.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (-.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1))))
(/.f64 (/.f64 (fma.f64 x x (+.f64 x 1)) (+.f64 x 1)) x)
(pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 x (+.f64 x 1))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1)))) (exp.f64 (/.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1)))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (exp.f64 (/.f64 x (+.f64 x 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x))))
(exp.f64 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x))))
(fma.f64 x (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
(fma.f64 1 (/.f64 x (+.f64 x 1)) (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (/.f64 x (+.f64 x 1)))
(fma.f64 (/.f64 x (+.f64 x 1)) 1 (/.f64 1 x))
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (/.f64 x (+.f64 x 1)))
(fma.f64 (/.f64 1 x) 1 (/.f64 x (+.f64 x 1)))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 x (+.f64 x 1)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 x (+.f64 x 1)))
(fma.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (cbrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x 1))) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 x (+.f64 x 1)))
(fma.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x 1))) (/.f64 1 x))
(fma.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1 x -1)) (/.f64 1 x))
(fma.f64 (/.f64 1 (+.f64 x 1)) x (/.f64 1 x))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1) (/.f64 x (+.f64 x 1)))
(fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) (/.f64 x (+.f64 x 1)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))) (/.f64 1 x))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))) (/.f64 1 x))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x 1)) (/.f64 1 x))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 1 x))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x 1))) (/.f64 1 x))
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x 1)) (/.f64 1 x))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1))) (/.f64 1 x))
(fma.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1) (/.f64 1 x))
(fma.f64 (/.f64 x (-.f64 1 (pow.f64 x 2))) (-.f64 1 x) (/.f64 1 x))

simplify97.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
1766×times-frac
1584×fma-def
690×distribute-rgt-in
688×distribute-lft-in
686×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03366559
18226352
223116246
Stop Event
1×node limit
Counts
150 → 199
Calls
Call 1
Inputs
-1
(-.f64 x 1)
(-.f64 (+.f64 x (*.f64 -1 (pow.f64 x 2))) 1)
(-.f64 (+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3))) 1)
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(/.f64 1 x)
(+.f64 x (/.f64 1 x))
(+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 1 x)))
(+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (pow.f64 x 3))))
1
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))) (/.f64 1 (pow.f64 x 3)))
1
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 x (+.f64 x 1)) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (+.f64 (/.f64 x (+.f64 x 1)) 1)) (/.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) 1)))
(*.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) -1))
(*.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)) 2) (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)) (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 1 (/.f64 -1 (/.f64 (+.f64 x 1) x))))))
(*.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) -1) (/.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) 1)))
(*.f64 (+.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 1) (-.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 1 (/.f64 -1 (/.f64 (+.f64 x 1) x)))) (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 x (+.f64 x 1)) 1) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) -1)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 1 (/.f64 -1 (/.f64 (+.f64 x 1) x)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 -1 (/.f64 (+.f64 x 1) x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) -1) (+.f64 (/.f64 x (+.f64 x 1)) 1))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 1 (/.f64 -1 (/.f64 (+.f64 x 1) x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) -1)) (neg.f64 (+.f64 (/.f64 x (+.f64 x 1)) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (-.f64 -1 (/.f64 x (+.f64 x 1))))
(pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 3))
(expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))
(exp.f64 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)))
(fma.f64 x (/.f64 1 (+.f64 x 1)) -1)
(fma.f64 1 (/.f64 x (+.f64 x 1)) -1)
(fma.f64 (/.f64 x (+.f64 x 1)) 1 -1)
(fma.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (cbrt.f64 (/.f64 x (+.f64 x 1))) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x 1))) -1)
(fma.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1))) -1)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x 1))) -1)
(fma.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1 x -1)) -1)
(fma.f64 (/.f64 1 (+.f64 x 1)) x -1)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))) -1)
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x 1)) -1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 x 1))) -1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x 1)) -1)
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1))) -1)
(fma.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1) -1)
(fma.f64 (/.f64 x (-.f64 1 (pow.f64 x 2))) (-.f64 1 x) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x))))
(*.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x)))
(*.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x))) 2) (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x))) (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x))))
(*.f64 (fma.f64 x x (+.f64 x 1)) (/.f64 1 (*.f64 x (+.f64 x 1))))
(*.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 x -2) (/.f64 x (*.f64 x (+.f64 x 1)))))))
(*.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 x -2)) (/.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x))))
(/.f64 1 (/.f64 (*.f64 x (+.f64 x 1)) (fma.f64 x x (+.f64 x 1))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 x -2) (/.f64 x (*.f64 x (+.f64 x 1))))) (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3))))
(/.f64 1 (/.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x)) (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 x -2))))
(/.f64 (fma.f64 x x (+.f64 x 1)) (*.f64 x (+.f64 x 1)))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 x -2) (/.f64 x (*.f64 x (+.f64 x 1))))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 x (*.f64 x (+.f64 x 1))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 x -2)) (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x)))
(/.f64 (fma.f64 x (neg.f64 x) (*.f64 (+.f64 x 1) -1)) (*.f64 (+.f64 x 1) (neg.f64 x)))
(/.f64 (+.f64 x (*.f64 (/.f64 (+.f64 x 1) x) 1)) (*.f64 (/.f64 (+.f64 x 1) x) x))
(/.f64 (fma.f64 -1 x (*.f64 (/.f64 (+.f64 x 1) x) -1)) (*.f64 (/.f64 (+.f64 x 1) x) (neg.f64 x)))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 -1 x -1) 1)) (*.f64 (fma.f64 -1 x -1) x))
(/.f64 (fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (fma.f64 -1 x -1) -1)) (*.f64 (fma.f64 -1 x -1) (neg.f64 x)))
(/.f64 (+.f64 (/.f64 (+.f64 x 1) x) x) (*.f64 x (/.f64 (+.f64 x 1) x)))
(/.f64 (+.f64 (fma.f64 -1 x -1) (*.f64 x (neg.f64 x))) (*.f64 x (fma.f64 -1 x -1)))
(/.f64 (+.f64 (fma.f64 -1 x -1) (neg.f64 (pow.f64 x 2))) (*.f64 (neg.f64 x) (+.f64 x 1)))
(/.f64 (fma.f64 -1 (/.f64 (+.f64 x 1) x) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (/.f64 (+.f64 x 1) x)))
(/.f64 (fma.f64 -1 (fma.f64 -1 x -1) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (fma.f64 -1 x -1)))
(/.f64 (neg.f64 (fma.f64 x x (+.f64 x 1))) (neg.f64 (*.f64 x (+.f64 x 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 x -2) (/.f64 x (*.f64 x (+.f64 x 1)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 x -2))) (neg.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (-.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1))))
(/.f64 (/.f64 (fma.f64 x x (+.f64 x 1)) (+.f64 x 1)) x)
(pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 x (+.f64 x 1))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1)))) (exp.f64 (/.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1)))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (exp.f64 (/.f64 x (+.f64 x 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x))))
(exp.f64 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 x))))
(fma.f64 x (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
(fma.f64 1 (/.f64 x (+.f64 x 1)) (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (/.f64 x (+.f64 x 1)))
(fma.f64 (/.f64 x (+.f64 x 1)) 1 (/.f64 1 x))
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (/.f64 x (+.f64 x 1)))
(fma.f64 (/.f64 1 x) 1 (/.f64 x (+.f64 x 1)))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 x (+.f64 x 1)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 x (+.f64 x 1)))
(fma.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (cbrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x 1))) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 x (+.f64 x 1)))
(fma.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x 1))) (/.f64 1 x))
(fma.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1 x -1)) (/.f64 1 x))
(fma.f64 (/.f64 1 (+.f64 x 1)) x (/.f64 1 x))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1) (/.f64 x (+.f64 x 1)))
(fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) (/.f64 x (+.f64 x 1)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))) (/.f64 1 x))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))) (/.f64 1 x))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x 1)) (/.f64 1 x))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 1 x))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x 1))) (/.f64 1 x))
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x 1)) (/.f64 1 x))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1))) (/.f64 1 x))
(fma.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1) (/.f64 1 x))
(fma.f64 (/.f64 x (-.f64 1 (pow.f64 x 2))) (-.f64 1 x) (/.f64 1 x))
Outputs
-1
(-.f64 x 1)
(+.f64 x -1)
(+.f64 -1 x)
(-.f64 (+.f64 x (*.f64 -1 (pow.f64 x 2))) 1)
(+.f64 x (-.f64 (neg.f64 (pow.f64 x 2)) 1))
(+.f64 -1 (-.f64 x (pow.f64 x 2)))
(fma.f64 (-.f64 1 x) x -1)
(-.f64 (+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3))) 1)
(+.f64 x (-.f64 (fma.f64 -1 (pow.f64 x 2) (pow.f64 x 3)) 1))
(+.f64 -1 (+.f64 (-.f64 x (pow.f64 x 2)) (pow.f64 x 3)))
(*.f64 (fma.f64 x x 1) (+.f64 -1 x))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 -1 x))
(+.f64 (pow.f64 x -2) (/.f64 -1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (pow.f64 x -2) (-.f64 (/.f64 -1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 2)) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (+.f64 (pow.f64 x -2) (-.f64 (/.f64 -1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 -1 x))
(+.f64 (pow.f64 x -2) (/.f64 -1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (pow.f64 x -2) (-.f64 (/.f64 -1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 2)) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (+.f64 (pow.f64 x -2) (-.f64 (/.f64 -1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))
(/.f64 1 x)
(+.f64 x (/.f64 1 x))
(+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 1 x)))
(+.f64 x (fma.f64 -1 (pow.f64 x 2) (/.f64 1 x)))
(+.f64 x (-.f64 (/.f64 1 x) (pow.f64 x 2)))
(fma.f64 (-.f64 1 x) x (/.f64 1 x))
(+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (pow.f64 x 3))))
(+.f64 x (+.f64 (fma.f64 -1 (pow.f64 x 2) (/.f64 1 x)) (pow.f64 x 3)))
(+.f64 (-.f64 x (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (/.f64 1 x)))
(+.f64 x (fma.f64 (pow.f64 x 2) (+.f64 -1 x) (/.f64 1 x)))
1
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
(+.f64 1 (pow.f64 x -2))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 1 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 -1 (pow.f64 x 3))))
(+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))) (/.f64 1 (pow.f64 x 3)))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (pow.f64 x -2) (/.f64 1 (pow.f64 x 3)))))
1
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
(+.f64 1 (pow.f64 x -2))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 1 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 -1 (pow.f64 x 3))))
(+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))) (/.f64 1 (pow.f64 x 3)))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (pow.f64 x -2) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (/.f64 x (+.f64 x 1)) 1)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(-.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (+.f64 (/.f64 x (+.f64 x 1)) 1)) (/.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) 1)))
(-.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (+.f64 1 (/.f64 x (+.f64 x 1)))) (/.f64 1 (+.f64 1 (/.f64 x (+.f64 x 1)))))
(+.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (+.f64 1 (/.f64 x (+.f64 x 1)))) (/.f64 -1 (+.f64 1 (/.f64 x (+.f64 x 1)))))
(*.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) -1))
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(*.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 1)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)) 2))
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)) 2) (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)))
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)) (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)))
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 1 (/.f64 -1 (/.f64 (+.f64 x 1) x))))))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 1 (*.f64 (/.f64 -1 (+.f64 x 1)) x)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 -1 (/.f64 x (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (+.f64 (/.f64 x (+.f64 x 1)) (+.f64 1 (pow.f64 (/.f64 x (+.f64 x 1)) 2))))
(*.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) -1) (/.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) 1)))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 x (+.f64 x 1)))) (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (+.f64 1 (/.f64 x (+.f64 x 1))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (-.f64 -1 (/.f64 x (+.f64 x 1))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 1) (-.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 1))
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 1 (/.f64 -1 (/.f64 (+.f64 x 1) x)))) (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3))))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 1 (*.f64 (/.f64 -1 (+.f64 x 1)) x)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 -1 (/.f64 x (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (+.f64 (/.f64 x (+.f64 x 1)) (+.f64 1 (pow.f64 (/.f64 x (+.f64 x 1)) 2))))
(/.f64 1 (/.f64 (+.f64 (/.f64 x (+.f64 x 1)) 1) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) -1)))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 x (+.f64 x 1)))) (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (+.f64 1 (/.f64 x (+.f64 x 1))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (-.f64 -1 (/.f64 x (+.f64 x 1))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 1 (/.f64 -1 (/.f64 (+.f64 x 1) x)))))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 1 (*.f64 (/.f64 -1 (+.f64 x 1)) x)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 -1 (/.f64 x (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (+.f64 (/.f64 x (+.f64 x 1)) (+.f64 1 (pow.f64 (/.f64 x (+.f64 x 1)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 -1 (/.f64 (+.f64 x 1) x)))))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 1 (*.f64 (/.f64 -1 (+.f64 x 1)) x)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 -1 (/.f64 x (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (+.f64 (/.f64 x (+.f64 x 1)) (+.f64 1 (pow.f64 (/.f64 x (+.f64 x 1)) 2))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) -1) (+.f64 (/.f64 x (+.f64 x 1)) 1))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 x (+.f64 x 1)))) (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (+.f64 1 (/.f64 x (+.f64 x 1))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (-.f64 -1 (/.f64 x (+.f64 x 1))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 1 (/.f64 -1 (/.f64 (+.f64 x 1) x))))))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 1 (*.f64 (/.f64 -1 (+.f64 x 1)) x)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 -1 (/.f64 x (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (+.f64 (/.f64 x (+.f64 x 1)) (+.f64 1 (pow.f64 (/.f64 x (+.f64 x 1)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) -1)) (neg.f64 (+.f64 (/.f64 x (+.f64 x 1)) 1)))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 x (+.f64 x 1)))) (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (+.f64 1 (/.f64 x (+.f64 x 1))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (-.f64 -1 (/.f64 x (+.f64 x 1))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (-.f64 -1 (/.f64 x (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 x (+.f64 x 1)))) (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (+.f64 1 (/.f64 x (+.f64 x 1))))
(pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 1)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)) 3)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(pow.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 3) 1/3)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)) 2)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 2))
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(log.f64 (exp.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)))
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1))))
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 3))
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))
(exp.f64 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)))
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)) 1))
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)))
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(fma.f64 x (/.f64 1 (+.f64 x 1)) -1)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(fma.f64 1 (/.f64 x (+.f64 x 1)) -1)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(fma.f64 (/.f64 x (+.f64 x 1)) 1 -1)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
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(fma.f64 (/.f64 1 (+.f64 x 1)) x (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1) (/.f64 x (+.f64 x 1)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) (/.f64 x (+.f64 x 1)))
(fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 x 1)) (pow.f64 (sqrt.f64 x) -2))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 x (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x 1)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 1 x))
(fma.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 1 x))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x 1))) (/.f64 1 x))
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x 1)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1)))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1))) (/.f64 1 x))
(fma.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1) (/.f64 1 x))
(fma.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1) (/.f64 1 x))
(fma.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 -1 x) 1) (/.f64 1 x))
(fma.f64 (/.f64 x (-.f64 1 (pow.f64 x 2))) (-.f64 1 x) (/.f64 1 x))

eval67.0ms (2.5%)

Compiler

Compiled 3002 to 2189 computations (27.1% saved)

prune27.0ms (1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1972199
Fresh000
Picked123
Done011
Total1985203
Accuracy
100.0%
Counts
203 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))
✓53.1%
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 x))
✓49.6%
(+.f64 (/.f64 x (+.f64 1 x)) (-.f64 -1 x))
▶52.2%
1
▶48.8%
-1
Compiler

Compiled 36 to 27 computations (25% saved)

localize12.0ms (0.4%)

Compiler

Compiled 4 to 4 computations (0% saved)

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

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune85.0ms (3.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New000
Fresh000
Picked022
Done033
Total055
Accuracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))
✓53.1%
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 x))
✓49.6%
(+.f64 (/.f64 x (+.f64 1 x)) (-.f64 -1 x))
✓52.2%
1
✓48.8%
-1
Compiler

Compiled 86 to 63 computations (26.7% saved)

regimes7.0ms (0.3%)

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

2 calls:

4.0ms
x
2.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes14.0ms (0.5%)

Counts
5 → 3
Calls
Call 1
Inputs
-1
1
(+.f64 (/.f64 x (+.f64 1 x)) -1)
(+.f64 (/.f64 x (+.f64 1 x)) (-.f64 -1 x))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 x))
Outputs
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 x))
(+.f64 (/.f64 x (+.f64 1 x)) (-.f64 -1 x))
1
Calls

1 calls:

14.0ms
x
Results
AccuracySegmentsBranch
99.5%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.4%)

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

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
99.5%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.4%)

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

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
99.5%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
-1
Outputs
-1
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
48.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch91.0ms (3.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
70.0ms
0.00035714993933402454
11037353744560.723
22.0ms
-93460.22617377256
-0.007443681324380542
Results
85.0ms303×256valid
0.0ms1×256valid
Compiler

Compiled 354 to 266 computations (24.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
Operation ival-sub, time spent: 51.0ms, 85.0% of total-time
Operation ival-div, time spent: 5.0ms, 8.0% of total-time
Operation ival-add, time spent: 3.0ms, 5.0% of total-time
Operation const, time spent: 1.0ms, 2.0% of total-time

bsearch43.0ms (1.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
0.00035714993933402454
11037353744560.723
21.0ms
-93460.22617377256
-0.007443681324380542
Results
35.0ms303×256valid
0.0ms1×256valid
Compiler

Compiled 282 to 221 computations (21.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
Operation ival-div, time spent: 5.0ms, 44.0% of total-time
Operation ival-add, time spent: 3.0ms, 27.0% of total-time
Operation ival-sub, time spent: 2.0ms, 18.0% of total-time
Operation const, time spent: 1.0ms, 9.0% of total-time

bsearch45.0ms (1.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
25.0ms
0.00035714993933402454
11037353744560.723
20.0ms
-93460.22617377256
-0.007443681324380542
Results
38.0ms303×256valid
0.0ms1×256valid
Compiler

Compiled 130 to 126 computations (3.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
Operation ival-div, time spent: 5.0ms, 41.0% of total-time
Operation ival-sub, time spent: 3.0ms, 25.0% of total-time
Operation ival-add, time spent: 3.0ms, 25.0% of total-time
Operation const, time spent: 1.0ms, 8.0% of total-time

simplify6.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
16×+-commutative
8×sub-neg
4×neg-mul-1
4×if-if-or-not
4×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030221
152221
258221
365221
466221
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(if (<=.f64 x -1) (+.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 x)) (if (<=.f64 x 1) (+.f64 (/.f64 x (+.f64 1 x)) (-.f64 -1 x)) 1))
(if (<=.f64 x -4278419646001971/2251799813685248) 1 (if (<=.f64 x 1) (+.f64 (/.f64 x (+.f64 1 x)) (-.f64 -1 x)) 1))
(if (<=.f64 x -1) 1 (if (<=.f64 x 1) -1 1))
-1
Outputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))
(if (<=.f64 x -1) (+.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 x)) (if (<=.f64 x 1) (+.f64 (/.f64 x (+.f64 1 x)) (-.f64 -1 x)) 1))
(if (<=.f64 x -4278419646001971/2251799813685248) 1 (if (<=.f64 x 1) (+.f64 (/.f64 x (+.f64 1 x)) (-.f64 -1 x)) 1))
(if (<=.f64 x -1) 1 (if (<=.f64 x 1) -1 1))
-1
Compiler

Compiled 74 to 56 computations (24.3% saved)

soundness225.0ms (8.3%)

Rules
1400×fma-neg
1228×fma-def
738×associate-*r*
690×associate-*l*
554×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019188
141164
278160
3158160
4375160
5845160
61229160
71589160
81916160
91918160
01681762
14121700
210041668
347101599
Stop Event
1×node limit
1×saturated
Compiler

Compiled 122 to 89 computations (27% saved)

end0.0ms (0%)

preprocess60.0ms (2.2%)

Compiler

Compiled 164 to 122 computations (25.6% saved)

Profiling

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