Hyperbolic arc-cosine

Time bar (total: 4.1s)

analyze112.0ms (2.8%)

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: 65.0ms
Operation ival-log, time spent: 18.0ms, 28.0% of total-time
Operation ival-mult, time spent: 17.0ms, 26.0% of total-time
Operation ival-sqrt, time spent: 14.0ms, 22.0% of total-time
Operation ival-sub, time spent: 7.0ms, 11.0% of total-time
Operation ival-add, time spent: 6.0ms, 9.0% of total-time
Operation const, time spent: 2.0ms, 3.0% of total-time

sample2.9s (71.9%)

Results
961.0ms8269×256invalid
1.5s8255×256valid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
Operation ival-log, time spent: 359.0ms, 27.0% of total-time
Operation ival-sqrt, time spent: 323.0ms, 24.0% of total-time
Operation ival-mult, time spent: 301.0ms, 23.0% of total-time
Operation ival-add, time spent: 168.0ms, 13.0% of total-time
Operation ival-sub, time spent: 141.0ms, 11.0% of total-time
Operation const, time spent: 30.0ms, 2.0% of total-time
Bogosity

preprocess426.0ms (10.5%)

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
1250-0-(sqrt.f64 (-.f64 (*.f64 x x) 1))
00-0-x
00-0-(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
00-0-(*.f64 x x)
00-0-(-.f64 (*.f64 x x) 1)
00-0-(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
00-0-1
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)))
Results
102.0ms511×256valid
0.0ms1×256valid
Compiler

Compiled 80 to 43 computations (46.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
Operation ival-sqrt, time spent: 19.0ms, 30.0% of total-time
Operation ival-log, time spent: 16.0ms, 25.0% of total-time
Operation ival-sub, time spent: 12.0ms, 19.0% of total-time
Operation ival-mult, time spent: 7.0ms, 11.0% of total-time
Operation ival-add, time spent: 6.0ms, 10.0% 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
▶52.7%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Compiler

Compiled 10 to 7 computations (30% saved)

localize64.0ms (1.6%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
✓54.6%
(sqrt.f64 (-.f64 (*.f64 x x) 1))
Results
49.0ms255×256valid
0.0ms1×256valid
Compiler

Compiled 35 to 18 computations (48.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
Operation ival-sqrt, time spent: 10.0ms, 34.0% of total-time
Operation ival-sub, time spent: 7.0ms, 24.0% of total-time
Operation ival-log, time spent: 6.0ms, 20.0% of total-time
Operation ival-add, time spent: 3.0ms, 10.0% of total-time
Operation ival-mult, time spent: 2.0ms, 7.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

series8.0ms (0.2%)

Counts
2 → 36
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 (+.f64 (sqrt.f64 -1) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -5/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 7))) (*.f64 1/16 (/.f64 1 (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 (+.f64 (sqrt.f64 -1) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 7/256 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 9))) (*.f64 5/128 (/.f64 1 (pow.f64 (sqrt.f64 -1) 7))))) (*.f64 1/16 (/.f64 1 (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 x (-.f64 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/16 (*.f64 5/128 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 6)))) (+.f64 (/.f64 1/8 (pow.f64 x 4)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))>
#<alt (*.f64 x (-.f64 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 5/128 (*.f64 7/256 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 8)))) (+.f64 (/.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/16 (/.f64 1 (pow.f64 x 6)))))))>
#<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 (*.f64 -1 (*.f64 x (-.f64 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/16 (*.f64 5/128 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 6)))) (+.f64 (/.f64 1/8 (pow.f64 x 4)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 5/128 (*.f64 7/256 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 8)))) (+.f64 (/.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/16 (/.f64 1 (pow.f64 x 6))))))))>
#<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 (sqrt.f64 -1) (*.f64 x (+.f64 1 (*.f64 x (+.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 (+.f64 (sqrt.f64 -1) (*.f64 x (+.f64 1 (*.f64 x (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -5/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 7))) (*.f64 1/16 (/.f64 1 (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 (*.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 x (-.f64 (+.f64 2 (*.f64 -1 (/.f64 (+.f64 1/16 (*.f64 5/128 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 6)))) (+.f64 (/.f64 1/8 (pow.f64 x 4)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))>
#<alt (*.f64 x (-.f64 (+.f64 2 (*.f64 -1 (/.f64 (+.f64 5/128 (*.f64 7/256 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 8)))) (+.f64 (/.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/16 (/.f64 1 (pow.f64 x 6)))))))>
#<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))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 5/128 (*.f64 7/256 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 6))) (+.f64 1/2 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))))) x))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 7/256 (*.f64 21/1024 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 8))) (+.f64 1/2 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 2))) (*.f64 5/128 (/.f64 1 (pow.f64 x 6))))))) x))>
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
(sqrt (- (* x x) 1))
1.0ms
x
@inf
(sqrt (- (* x x) 1))
1.0ms
x
@0
(+ x (sqrt (- (* x x) 1)))
1.0ms
x
@-inf
(+ x (sqrt (- (* x x) 1)))
1.0ms
x
@inf
(+ x (sqrt (- (* x x) 1)))

rewrite195.0ms (4.8%)

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)))

simplify103.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
976×distribute-rgt-in
956×distribute-lft-in
668×*-commutative
628×associate-/r*
478×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04527514
110477240
229236429
Stop Event
1×node limit
Counts
150 → 259
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))))))
(+.f64 (sqrt.f64 -1) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -5/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 7))) (*.f64 1/16 (/.f64 1 (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) (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 7/256 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 9))) (*.f64 5/128 (/.f64 1 (pow.f64 (sqrt.f64 -1) 7))))) (*.f64 1/16 (/.f64 1 (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 x (-.f64 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/16 (*.f64 5/128 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 6)))) (+.f64 (/.f64 1/8 (pow.f64 x 4)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(*.f64 x (-.f64 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 5/128 (*.f64 7/256 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 8)))) (+.f64 (/.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/16 (/.f64 1 (pow.f64 x 6)))))))
(*.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))))))
(*.f64 -1 (*.f64 x (-.f64 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/16 (*.f64 5/128 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 6)))) (+.f64 (/.f64 1/8 (pow.f64 x 4)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))))
(*.f64 -1 (*.f64 x (-.f64 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 5/128 (*.f64 7/256 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 8)))) (+.f64 (/.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/16 (/.f64 1 (pow.f64 x 6))))))))
(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 (sqrt.f64 -1) (*.f64 x (+.f64 1 (*.f64 x (+.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 x (+.f64 1 (*.f64 x (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -5/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 7))) (*.f64 1/16 (/.f64 1 (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 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 x (-.f64 (+.f64 2 (*.f64 -1 (/.f64 (+.f64 1/16 (*.f64 5/128 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 6)))) (+.f64 (/.f64 1/8 (pow.f64 x 4)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(*.f64 x (-.f64 (+.f64 2 (*.f64 -1 (/.f64 (+.f64 5/128 (*.f64 7/256 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 8)))) (+.f64 (/.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/16 (/.f64 1 (pow.f64 x 6)))))))
(/.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 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 5/128 (*.f64 7/256 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 6))) (+.f64 1/2 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))))) x))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 7/256 (*.f64 21/1024 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 8))) (+.f64 1/2 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 2))) (*.f64 5/128 (/.f64 1 (pow.f64 x 6))))))) 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))
(+.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) (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 (pow.f64 x 2) (/.f64 1/8 (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) (fma.f64 1/16 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5)) (neg.f64 (/.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) (-.f64 (*.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))
(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))
(+.f64 (sqrt.f64 -1) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -5/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 7))) (*.f64 1/16 (/.f64 1 (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) (fma.f64 (pow.f64 x 2) (fma.f64 -5/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 7)) (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5))) (neg.f64 (/.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) (-.f64 (*.f64 (pow.f64 x 2) (fma.f64 -5/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 7)) (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 -1/8 (sqrt.f64 -1))) (/.f64 1/2 (sqrt.f64 -1))) (sqrt.f64 -1))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 -5/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 7)) (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5))) (/.f64 1/8 (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 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 7/256 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 9))) (*.f64 5/128 (/.f64 1 (pow.f64 (sqrt.f64 -1) 7))))) (*.f64 1/16 (/.f64 1 (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) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (-.f64 (/.f64 (*.f64 7/256 (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 9)) (/.f64 5/128 (pow.f64 (sqrt.f64 -1) 7))) (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5))) (neg.f64 (/.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) (-.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 7/256 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 9)) (/.f64 -5/128 (pow.f64 (sqrt.f64 -1) 7))) (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 -1/8 (sqrt.f64 -1))) (/.f64 1/2 (sqrt.f64 -1))) (sqrt.f64 -1))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 7/256 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 9)) (/.f64 -5/128 (pow.f64 (sqrt.f64 -1) 7))) (/.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))))
(*.f64 x (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 -1/8 (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 x (+.f64 1 (-.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 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 (/.f64 (+.f64 -1/8 (/.f64 -1/16 (pow.f64 x 2))) (pow.f64 x 4)) (-.f64 (/.f64 1/2 (pow.f64 x 2)) 1)))
(*.f64 x (-.f64 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/16 (*.f64 5/128 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 6)))) (+.f64 (/.f64 1/8 (pow.f64 x 4)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(*.f64 x (+.f64 1 (-.f64 (neg.f64 (/.f64 (+.f64 1/16 (/.f64 5/128 (pow.f64 x 2))) (pow.f64 x 6))) (+.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 1/8 (pow.f64 x 4))))))
(*.f64 x (+.f64 (-.f64 (-.f64 1 (/.f64 (+.f64 1/16 (/.f64 5/128 (pow.f64 x 2))) (pow.f64 x 6))) (/.f64 1/8 (pow.f64 x 4))) (/.f64 -1/2 (pow.f64 x 2))))
(*.f64 x (+.f64 (/.f64 (+.f64 -1/16 (/.f64 -5/128 (pow.f64 x 2))) (pow.f64 x 6)) (+.f64 1 (+.f64 (/.f64 -1/2 (pow.f64 x 2)) (/.f64 -1/8 (pow.f64 x 4))))))
(*.f64 x (-.f64 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 5/128 (*.f64 7/256 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 8)))) (+.f64 (/.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/16 (/.f64 1 (pow.f64 x 6)))))))
(*.f64 x (-.f64 (+.f64 1 (neg.f64 (/.f64 (+.f64 5/128 (/.f64 7/256 (pow.f64 x 2))) (pow.f64 x 8)))) (+.f64 (/.f64 1/8 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 1/16 (pow.f64 x 6))))))
(*.f64 x (-.f64 (-.f64 1 (/.f64 (+.f64 5/128 (/.f64 7/256 (pow.f64 x 2))) (pow.f64 x 8))) (+.f64 (/.f64 1/2 (pow.f64 x 2)) (+.f64 (/.f64 1/8 (pow.f64 x 4)) (/.f64 1/16 (pow.f64 x 6))))))
(*.f64 x (+.f64 (/.f64 (+.f64 -5/128 (/.f64 -7/256 (pow.f64 x 2))) (pow.f64 x 8)) (+.f64 1 (+.f64 (/.f64 -1/2 (pow.f64 x 2)) (+.f64 (/.f64 -1/8 (pow.f64 x 4)) (/.f64 -1/16 (pow.f64 x 6)))))))
(*.f64 -1 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 -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 (*.f64 (+.f64 1/2 (/.f64 1/8 (pow.f64 x 2))) x) (pow.f64 x 2)) x)
(*.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 1 (-.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 (neg.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)))))
(*.f64 x (neg.f64 (-.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 (pow.f64 x 2))) (pow.f64 x 4)) (-.f64 (/.f64 1/2 (pow.f64 x 2)) 1))))
(*.f64 -1 (*.f64 x (-.f64 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/16 (*.f64 5/128 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 6)))) (+.f64 (/.f64 1/8 (pow.f64 x 4)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))))
(*.f64 (neg.f64 x) (+.f64 1 (-.f64 (neg.f64 (/.f64 (+.f64 1/16 (/.f64 5/128 (pow.f64 x 2))) (pow.f64 x 6))) (+.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 1/8 (pow.f64 x 4))))))
(*.f64 (+.f64 (-.f64 (-.f64 1 (/.f64 (+.f64 1/16 (/.f64 5/128 (pow.f64 x 2))) (pow.f64 x 6))) (/.f64 1/8 (pow.f64 x 4))) (/.f64 -1/2 (pow.f64 x 2))) (neg.f64 x))
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(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1) 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 x 1 (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 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 (hypot.f64 1 (sqrt.f64 x)) (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)))

eval118.0ms (2.9%)

Compiler

Compiled 5381 to 4221 computations (21.6% saved)

prune35.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2581259
Fresh000
Picked011
Done000
Total2582260
Accuracy
100.0%
Counts
260 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓52.7%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶99.2%
(log.f64 (+.f64 x x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

localize42.0ms (1%)

Results
35.0ms255×256valid
0.0ms1×256valid
Compiler

Compiled 10 to 4 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
Operation ival-log, time spent: 6.0ms, 75.0% of total-time
Operation ival-add, time spent: 2.0ms, 25.0% 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)

prune2.0ms (0%)

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
✓52.7%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓99.2%
(log.f64 (+.f64 x x))
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes9.0ms (0.2%)

Accuracy

Total -30.3b remaining (-5780.2%)

Threshold costs -30.3b (-5780.2%)

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
x
3.0ms
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
3.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Results
AccuracySegmentsBranch
99.2%1x
99.2%1(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
99.2%1(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Compiler

Compiled 21 to 14 computations (33.3% saved)

simplify3.0ms (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 (0.5%)

Compiler

Compiled 30 to 20 computations (33.3% saved)

Profiling

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