Hyperbolic arc-cosine

Time bar (total: 3.3s)

analyze96.0ms (2.9%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%100%0%0%0%0%3
16.7%12.5%62.5%0%0%25%0%4
30%18.7%43.7%0%0%37.5%0%5
38.9%21.9%34.4%0%0%43.7%0%6
44.1%23.4%29.7%0%0%46.9%0%7
47%24.2%27.3%0%0%48.4%0%8
48.5%24.6%26.2%0%0%49.2%0%9
49.2%24.8%25.6%0%0%49.6%0%10
49.6%24.9%25.3%0%0%49.8%0%11
49.8%24.9%25.1%0%0%49.9%0%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
Operation ival-mult, time spent: 12.0ms, 27.0% of total-time
Operation ival-log, time spent: 11.0ms, 25.0% of total-time
Operation ival-sqrt, time spent: 9.0ms, 20.0% of total-time
Operation ival-sub, time spent: 6.0ms, 13.0% of total-time
Operation ival-add, time spent: 6.0ms, 13.0% of total-time
Operation const, time spent: 2.0ms, 4.0% of total-time

sample2.1s (64.7%)

Results
817.0ms8446×256invalid
1.1s8255×256valid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 776.0ms
Operation ival-log, time spent: 212.0ms, 27.0% of total-time
Operation ival-mult, time spent: 163.0ms, 21.0% of total-time
Operation ival-sqrt, time spent: 149.0ms, 19.0% of total-time
Operation ival-add, time spent: 117.0ms, 15.0% of total-time
Operation ival-sub, time spent: 108.0ms, 14.0% of total-time
Operation const, time spent: 28.0ms, 4.0% of total-time
Bogosity

preprocess440.0ms (13.4%)

Algorithm
1×egg-herbie
Rules
1306×distribute-lft-out
1242×distribute-rgt-out--
1036×unsub-neg
946×sub-neg
900×distribute-rgt-out
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1260-0-(sqrt.f64 (-.f64 (*.f64 x x) 1))
00-0-(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
00-0-1
00-0-(-.f64 (*.f64 x x) 1)
00-0-(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
00-0-(*.f64 x x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 x x) 1))oflow-rescue1260
↳(-.f64 (*.f64 x x) 1)overflow126
↳(*.f64 x x)overflow126
Confusion
Predicted +Predicted -
+1260
-0130
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12600
-00130
Precision?
1.0
Recall?
1.0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019140
148132
283132
3179132
4416132
5923132
61685132
73206132
84236132
94890132
105182132
115490132
125640132
135713132
145924132
156691132
166872132
Stop Event
1×node limit
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1)))))
Outputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1)))))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x -1)))))
(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))
Compiler

Compiled 90 to 50 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
Operation ival-sqrt, time spent: 17.0ms, 29.0% of total-time
Operation ival-sub, time spent: 14.0ms, 24.0% of total-time
Operation ival-log, time spent: 14.0ms, 24.0% of total-time
Operation ival-add, time spent: 6.0ms, 10.0% of total-time
Operation ival-mult, time spent: 5.0ms, 9.0% of total-time
Operation const, time spent: 2.0ms, 3.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶52.3%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Compiler

Compiled 10 to 7 computations (30% saved)

localize66.0ms (2%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
✓54.4%
(sqrt.f64 (-.f64 (*.f64 x x) 1))
Compiler

Compiled 35 to 18 computations (48.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
Operation ival-log, time spent: 11.0ms, 32.0% of total-time
Operation ival-sqrt, time spent: 9.0ms, 26.0% of total-time
Operation ival-sub, time spent: 6.0ms, 17.0% of total-time
Operation ival-add, time spent: 5.0ms, 14.0% of total-time
Operation ival-mult, time spent: 2.0ms, 6.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

series4.0ms (0.1%)

Counts
2 → 24
Calls
Call 1
Inputs
#<alt (sqrt.f64 (-.f64 (*.f64 x x) 1))>
#<alt (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))>
Outputs
#<alt (sqrt.f64 -1)>
#<alt (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))>
#<alt (+.f64 (sqrt.f64 -1) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))>
#<alt (+.f64 (sqrt.f64 -1) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/16 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))>
#<alt x>
#<alt (*.f64 x (-.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))>
#<alt (*.f64 x (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2)))))>
#<alt (*.f64 x (-.f64 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/8 (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))>
#<alt (*.f64 -1 x)>
#<alt (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))>
#<alt (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))))))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/8 (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))>
#<alt (sqrt.f64 -1)>
#<alt (+.f64 x (sqrt.f64 -1))>
#<alt (+.f64 (sqrt.f64 -1) (*.f64 x (+.f64 1 (*.f64 1/2 (/.f64 x (sqrt.f64 -1))))))>
#<alt (+.f64 (sqrt.f64 -1) (*.f64 x (+.f64 1 (*.f64 x (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))))>
#<alt (*.f64 2 x)>
#<alt (*.f64 x (-.f64 2 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))>
#<alt (*.f64 x (+.f64 2 (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2)))))>
#<alt (*.f64 x (-.f64 (+.f64 2 (*.f64 -1 (/.f64 (+.f64 1/8 (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))>
#<alt (/.f64 1/2 x)>
#<alt (/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x)>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1/8 (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))) 1/2) x))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1/16 (*.f64 5/128 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4))) (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2))))) x))>
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(sqrt (- (* x x) 1))
1.0ms
x
@inf
(sqrt (- (* x x) 1))
0.0ms
x
@-inf
(+ x (sqrt (- (* x x) 1)))
0.0ms
x
@0
(+ x (sqrt (- (* x x) 1)))
0.0ms
x
@inf
(+ x (sqrt (- (* x x) 1)))

rewrite212.0ms (6.5%)

Algorithm
1×batch-egg-rewrite
Rules
1074×unpow-prod-down
802×fma-define
632×log1p-expm1-u
632×expm1-log1p-u
546×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01147
113947
2190547
Stop Event
1×node limit
Counts
2 → 114
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 x x) 1))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Outputs
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (pow.f64 (*.f64 (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))) 1/3))
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (*.f64 (+.f64 x -1) (sqrt.f64 (fma.f64 x x -1))) 1/3))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (pow.f64 (/.f64 1 (fma.f64 x x 1)) 1/2))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (pow.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) 1/2))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1))) 1/2) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1) (pow.f64 (sqrt.f64 (+.f64 x -1)) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 2) 3) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(*.f64 (pow.f64 (*.f64 (fma.f64 x x -1) (cbrt.f64 (fma.f64 x x -1))) 1/3) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)))
(*.f64 (pow.f64 (*.f64 (fma.f64 x x -1) (pow.f64 (fma.f64 x x -1) 1/4)) 1/3) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (pow.f64 x 2) (hypot.f64 1 x)))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 x x -1))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 x x -1))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 3) 1/3))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (/.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (pow.f64 (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (pow.f64 (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) 3) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (+.f64 (fma.f64 x x -1) (-.f64 (pow.f64 x 2) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (fma.f64 x x -1) (pow.f64 x 2)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) -1)
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1) 1))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)) x)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))

simplify131.0ms (4%)

Algorithm
1×egg-herbie
Rules
1228×fma-neg
1222×fma-define
652×div-sub
592×distribute-lft-in
582×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03666038
17835844
220265050
361435037
Stop Event
1×node limit
Counts
138 → 218
Calls
Call 1
Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/16 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))
x
(*.f64 x (-.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 x (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2)))))
(*.f64 x (-.f64 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/8 (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 -1 x)
(*.f64 -1 (*.f64 x (-.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))))))
(*.f64 -1 (*.f64 x (-.f64 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/8 (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(sqrt.f64 -1)
(+.f64 x (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (*.f64 x (+.f64 1 (*.f64 1/2 (/.f64 x (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (*.f64 x (+.f64 1 (*.f64 x (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))))
(*.f64 2 x)
(*.f64 x (-.f64 2 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 x (+.f64 2 (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2)))))
(*.f64 x (-.f64 (+.f64 2 (*.f64 -1 (/.f64 (+.f64 1/8 (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1/2 x)
(/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1/8 (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))) 1/2) x))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1/16 (*.f64 5/128 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4))) (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2))))) x))
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (pow.f64 (*.f64 (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))) 1/3))
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (*.f64 (+.f64 x -1) (sqrt.f64 (fma.f64 x x -1))) 1/3))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (pow.f64 (/.f64 1 (fma.f64 x x 1)) 1/2))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (pow.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) 1/2))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1))) 1/2) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1) (pow.f64 (sqrt.f64 (+.f64 x -1)) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 2) 3) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(*.f64 (pow.f64 (*.f64 (fma.f64 x x -1) (cbrt.f64 (fma.f64 x x -1))) 1/3) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)))
(*.f64 (pow.f64 (*.f64 (fma.f64 x x -1) (pow.f64 (fma.f64 x x -1) 1/4)) 1/3) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (pow.f64 x 2) (hypot.f64 1 x)))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 x x -1))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 x x -1))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 3) 1/3))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (/.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (pow.f64 (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (pow.f64 (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) 3) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (+.f64 (fma.f64 x x -1) (-.f64 (pow.f64 x 2) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (fma.f64 x x -1) (pow.f64 x 2)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) -1)
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1) 1))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)) x)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))
Outputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (sqrt.f64 -1))
(fma.f64 (pow.f64 x 2) (/.f64 1/2 (sqrt.f64 -1)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (*.f64 (pow.f64 x 2) (fma.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)) (/.f64 1/2 (sqrt.f64 -1)))))
(fma.f64 (pow.f64 x 2) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (/.f64 1/2 (sqrt.f64 -1))) (sqrt.f64 -1))
(fma.f64 (pow.f64 x 2) (fma.f64 1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (/.f64 1/2 (sqrt.f64 -1))) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/16 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (-.f64 (*.f64 1/16 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 1/8 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1/2 (sqrt.f64 -1)))))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 1/16 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5)) (neg.f64 (/.f64 -1/8 (sqrt.f64 -1)))) (/.f64 1/2 (sqrt.f64 -1))) (sqrt.f64 -1))
(fma.f64 (fma.f64 1/16 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 1/8 (sqrt.f64 -1))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (sqrt.f64 -1)))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 1/8 (sqrt.f64 -1))) (/.f64 1/2 (sqrt.f64 -1))) (sqrt.f64 -1))
x
(*.f64 x (-.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 x (-.f64 1 (/.f64 1/2 (pow.f64 x 2))))
(*.f64 x (+.f64 1 (/.f64 -1/2 (pow.f64 x 2))))
(*.f64 x (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2)))))
(*.f64 x (+.f64 1 (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/8 (pow.f64 x 2))) (pow.f64 x 2)))))
(*.f64 x (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 1/8 (pow.f64 x 2))) (pow.f64 x 2))))
(fma.f64 x (/.f64 (+.f64 -1/2 (/.f64 -1/8 (pow.f64 x 2))) (pow.f64 x 2)) x)
(*.f64 x (-.f64 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/8 (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 x (-.f64 (+.f64 1 (neg.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 (pow.f64 x 2))) (pow.f64 x 4)))) (/.f64 1/2 (pow.f64 x 2))))
(*.f64 x (+.f64 (-.f64 1 (/.f64 (+.f64 1/8 (/.f64 1/16 (pow.f64 x 2))) (pow.f64 x 4))) (/.f64 -1/2 (pow.f64 x 2))))
(*.f64 x (+.f64 1 (+.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 (pow.f64 x 2))) (pow.f64 x 4)) (/.f64 -1/2 (pow.f64 x 2)))))
(*.f64 x (+.f64 1 (+.f64 (/.f64 (-.f64 -1/8 (/.f64 1/16 (pow.f64 x 2))) (pow.f64 x 4)) (/.f64 -1/2 (pow.f64 x 2)))))
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 (*.f64 x (-.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(*.f64 (neg.f64 x) (-.f64 1 (/.f64 1/2 (pow.f64 x 2))))
(*.f64 x (neg.f64 (+.f64 1 (/.f64 -1/2 (pow.f64 x 2)))))
(*.f64 x (-.f64 -1 (/.f64 -1/2 (pow.f64 x 2))))
(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))))))
(*.f64 (neg.f64 x) (+.f64 1 (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/8 (pow.f64 x 2))) (pow.f64 x 2)))))
(*.f64 x (neg.f64 (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 1/8 (pow.f64 x 2))) (pow.f64 x 2)))))
(-.f64 (*.f64 x (/.f64 (+.f64 1/2 (/.f64 1/8 (pow.f64 x 2))) (pow.f64 x 2))) x)
(*.f64 x (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 -1/8 (pow.f64 x 2))) (pow.f64 x 2))))
(*.f64 -1 (*.f64 x (-.f64 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/8 (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(*.f64 (neg.f64 x) (-.f64 (+.f64 1 (neg.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 (pow.f64 x 2))) (pow.f64 x 4)))) (/.f64 1/2 (pow.f64 x 2))))
(*.f64 (+.f64 (-.f64 1 (/.f64 (+.f64 1/8 (/.f64 1/16 (pow.f64 x 2))) (pow.f64 x 4))) (/.f64 -1/2 (pow.f64 x 2))) (neg.f64 x))
(*.f64 x (+.f64 -1 (neg.f64 (+.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 (pow.f64 x 2))) (pow.f64 x 4)) (/.f64 -1/2 (pow.f64 x 2))))))
(*.f64 x (-.f64 -1 (+.f64 (/.f64 (-.f64 -1/8 (/.f64 1/16 (pow.f64 x 2))) (pow.f64 x 4)) (/.f64 -1/2 (pow.f64 x 2)))))
(sqrt.f64 -1)
(+.f64 x (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) x)
(+.f64 (sqrt.f64 -1) (*.f64 x (+.f64 1 (*.f64 1/2 (/.f64 x (sqrt.f64 -1))))))
(fma.f64 x (fma.f64 1/2 (/.f64 x (sqrt.f64 -1)) 1) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (*.f64 x (+.f64 1 (*.f64 x (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))))
(+.f64 (sqrt.f64 -1) (*.f64 x (+.f64 1 (*.f64 x (fma.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)) (/.f64 1/2 (sqrt.f64 -1)))))))
(fma.f64 x (fma.f64 x (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (/.f64 1/2 (sqrt.f64 -1))) 1) (sqrt.f64 -1))
(fma.f64 x (fma.f64 x (fma.f64 1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (/.f64 1/2 (sqrt.f64 -1))) 1) (sqrt.f64 -1))
(*.f64 2 x)
(*.f64 x 2)
(*.f64 x (-.f64 2 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 x (-.f64 2 (/.f64 1/2 (pow.f64 x 2))))
(*.f64 x (+.f64 2 (/.f64 -1/2 (pow.f64 x 2))))
(*.f64 x (+.f64 2 (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2)))))
(*.f64 x (+.f64 2 (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/8 (pow.f64 x 2))) (pow.f64 x 2)))))
(*.f64 x (-.f64 2 (/.f64 (+.f64 1/2 (/.f64 1/8 (pow.f64 x 2))) (pow.f64 x 2))))
(*.f64 x (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 -1/8 (pow.f64 x 2))) (pow.f64 x 2))))
(*.f64 x (-.f64 (+.f64 2 (*.f64 -1 (/.f64 (+.f64 1/8 (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 x (+.f64 2 (-.f64 (neg.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 (pow.f64 x 2))) (pow.f64 x 4))) (/.f64 1/2 (pow.f64 x 2)))))
(*.f64 x (+.f64 (-.f64 2 (/.f64 (+.f64 1/8 (/.f64 1/16 (pow.f64 x 2))) (pow.f64 x 4))) (/.f64 -1/2 (pow.f64 x 2))))
(*.f64 x (-.f64 (+.f64 2 (/.f64 -1/2 (pow.f64 x 2))) (/.f64 (+.f64 1/8 (/.f64 1/16 (pow.f64 x 2))) (pow.f64 x 4))))
(*.f64 x (+.f64 2 (+.f64 (/.f64 (-.f64 -1/8 (/.f64 1/16 (pow.f64 x 2))) (pow.f64 x 4)) (/.f64 -1/2 (pow.f64 x 2)))))
(/.f64 1/2 x)
(/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x)
(/.f64 (+.f64 1/2 (/.f64 1/8 (pow.f64 x 2))) x)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1/8 (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))) 1/2) x))
(neg.f64 (/.f64 (fma.f64 -1 (/.f64 (+.f64 1/8 (/.f64 1/16 (pow.f64 x 2))) (pow.f64 x 2)) -1/2) x))
(/.f64 (fma.f64 -1 (/.f64 (+.f64 1/8 (/.f64 1/16 (pow.f64 x 2))) (pow.f64 x 2)) -1/2) (neg.f64 x))
(/.f64 (fma.f64 -1 (/.f64 (+.f64 -1/8 (/.f64 -1/16 (pow.f64 x 2))) (pow.f64 x 2)) 1/2) x)
(/.f64 (-.f64 1/2 (/.f64 (-.f64 -1/8 (/.f64 1/16 (pow.f64 x 2))) (pow.f64 x 2))) x)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1/16 (*.f64 5/128 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4))) (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2))))) x))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 1/16 (/.f64 5/128 (pow.f64 x 2))) (pow.f64 x 4))) (+.f64 1/2 (/.f64 1/8 (pow.f64 x 2)))) x))
(/.f64 (-.f64 (fma.f64 -1 (/.f64 (+.f64 1/16 (/.f64 5/128 (pow.f64 x 2))) (pow.f64 x 4)) -1/2) (/.f64 1/8 (pow.f64 x 2))) (neg.f64 x))
(/.f64 (+.f64 (+.f64 1/2 (/.f64 1/8 (pow.f64 x 2))) (/.f64 (+.f64 1/16 (/.f64 5/128 (pow.f64 x 2))) (pow.f64 x 4))) x)
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (log.f64 (exp.f64 1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (pow.f64 (*.f64 (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (*.f64 (+.f64 x -1) (sqrt.f64 (fma.f64 x x -1))) 1/3))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 x))))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (pow.f64 (/.f64 1 (fma.f64 x x 1)) 1/2))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (fma.f64 x x 1))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (pow.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) 1/2))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1))) 1/2) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1) (pow.f64 (sqrt.f64 (+.f64 x -1)) 1))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 2) 3) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(*.f64 (pow.f64 (*.f64 (fma.f64 x x -1) (cbrt.f64 (fma.f64 x x -1))) 1/3) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (*.f64 (fma.f64 x x -1) (cbrt.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (*.f64 (fma.f64 x x -1) (pow.f64 (fma.f64 x x -1) 1/4)) 1/3) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) (pow.f64 (fma.f64 x x -1) 1/4))) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 5/4)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (pow.f64 x 2) (hypot.f64 1 x)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (hypot.f64 (pow.f64 x 2) (hypot.f64 1 x)))
(pow.f64 (fma.f64 x x -1) 1/2)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/4)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(sqrt.f64 (fma.f64 x x -1))
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(sqrt.f64 (fma.f64 x x -1))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(sqrt.f64 (fma.f64 x x -1))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 x x -1))) 1/3))
(sqrt.f64 (fma.f64 x x -1))
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(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)) x)
(+.f64 x (pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6) x)
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)) x)
(+.f64 x (pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x -1)))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)) x)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)) x)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 4)) (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (fma.f64 x x -1)))

eval84.0ms (2.6%)

Compiler

Compiled 3710 to 2798 computations (24.6% saved)

prune62.0ms (1.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2171218
Fresh000
Picked011
Done000
Total2172219
Accuracy
100.0%
Counts
219 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓52.3%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶99.0%
(log.f64 (+.f64 x x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

localize33.0ms (1%)

Compiler

Compiled 10 to 4 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
Operation ival-log, time spent: 5.0ms, 77.0% of total-time
Operation ival-add, time spent: 2.0ms, 31.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done011
Total022
Accuracy
100.0%
Counts
2 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓52.3%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓99.0%
(log.f64 (+.f64 x x))
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes10.0ms (0.3%)

Accuracy

Total -30.5b remaining (-4706.8%)

Threshold costs -30.5b (-4706.8%)

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

3 calls:

3.0ms
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
3.0ms
x
3.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Results
AccuracySegmentsBranch
99.0%1x
99.0%1(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
99.0%1(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Compiler

Compiled 21 to 14 computations (33.3% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(log.f64 (+.f64 x x))
Outputs
(log.f64 (+.f64 x x))
Compiler

Compiled 5 to 3 computations (40% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess21.0ms (0.6%)

Compiler

Compiled 30 to 20 computations (33.3% saved)

Profiling

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