Hyperbolic arcsine

Time bar (total: 5.2s)

analyze228.0ms (4.4%)

Algorithm
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
25%25%75%0%0%0%0%3
50%50%50%0%0%0%0%4
62.5%62.5%37.5%0%0%0%0%5
68.8%68.7%31.2%0%0%0%0%6
71.9%71.8%28.1%0%0%0%0%7
73.4%73.4%26.5%0%0%0%0%8
74.2%74.2%25.8%0%0%0%0%9
74.6%74.6%25.4%0%0%0%0%10
74.8%74.8%25.2%0%0%0%0%11
74.9%74.9%25.1%0%0%0%0%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 177.0ms
Operation ival-add, time spent: 143.0ms, 81.0% of total-time
Operation ival-log, time spent: 15.0ms, 8.0% of total-time
Operation ival-mult, time spent: 9.0ms, 5.0% of total-time
Operation ival-sqrt, time spent: 9.0ms, 5.0% of total-time
Operation const, time spent: 2.0ms, 1.0% of total-time

sample3.1s (59.4%)

Results
525.0ms3148×256valid
1.4s2574×1024valid
388.0ms1317×512valid
551.0ms1186×2048valid
17.0ms30×4096valid
0.0ms1024valid
Precisions
Click to see histograms. Total time spent on operations: 1.9s
Operation ival-log, time spent: 1.1s, 61.0% of total-time
Operation ival-add, time spent: 291.0ms, 15.0% of total-time
Operation ival-mult, time spent: 226.0ms, 12.0% of total-time
Operation ival-sqrt, time spent: 193.0ms, 10.0% of total-time
Operation const, time spent: 31.0ms, 2.0% of total-time
Bogosity

preprocess396.0ms (7.6%)

Algorithm
egg-herbie
Rules
128×fma-neg
108×fma-define
36×associate--r+
36×sub-neg
34×distribute-rgt-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1260-0-(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
670-0-(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
570-0-(sqrt.f64 (+.f64 (*.f64 x x) 1))
00-0-1
00-0-(*.f64 x x)
00-0-(+.f64 (*.f64 x x) 1)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))sensitivity1260
+.f64(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))cancellation670
sqrt.f64(sqrt.f64 (+.f64 (*.f64 x x) 1))oflow-rescue570
(*.f64 x x)overflow57
(+.f64 (*.f64 x x) 1)overflow57
Confusion
Predicted +Predicted -
+2210
-035
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+22100
-0035
Precision?
1.0
Recall?
1.0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019140
14196
26996
311796
419696
528796
635096
739196
839896
Stop Event
saturated
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 (hypot.f64 1 x)))
(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 (hypot.f64 1 x)))
(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 (hypot.f64 1 x) 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 (hypot.f64 1 x) x)))
Compiler

Compiled 90 to 50 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 167.0ms
Operation ival-log, time spent: 72.0ms, 43.0% of total-time
Operation ival-add, time spent: 48.0ms, 29.0% of total-time
Operation ival-sqrt, time spent: 29.0ms, 17.0% of total-time
Operation ival-mult, time spent: 13.0ms, 8.0% of total-time
Operation const, time spent: 5.0ms, 3.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 15 to 10 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
30.0%
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize156.0ms (3%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
76.1%
(+.f64 x (hypot.f64 1 x))
54.5%
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 18 to 12 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 155.0ms
Operation composed, time spent: 62.0ms, 40.0% of total-time
Operation ival-log, time spent: 30.0ms, 19.0% of total-time
Operation ival-mult, time spent: 30.0ms, 19.0% of total-time
Operation ival-add, time spent: 16.0ms, 10.0% of total-time
Operation ival-sqrt, time spent: 15.0ms, 10.0% of total-time
Operation const, time spent: 2.0ms, 1.0% of total-time

series5.0ms (0.1%)

Counts
2 → 24
Calls
Call 1
Inputs
#<alt (log.f64 (+.f64 x (hypot.f64 1 x)))>
#<alt (+.f64 x (hypot.f64 1 x))>
Outputs
#<alt x>
#<alt (*.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))))>
#<alt (*.f64 x (+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 3/40 (pow.f64 x 2)) 1/6))))>
#<alt (*.f64 x (+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 3/40 (*.f64 -5/112 (pow.f64 x 2)))) 1/6))))>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))>
#<alt (-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (/.f64 3/32 (pow.f64 x 4)))>
#<alt (-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6)))))) (/.f64 3/32 (pow.f64 x 4)))>
#<alt (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))>
#<alt (-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))>
#<alt (-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 3/32 (pow.f64 x 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))>
#<alt (-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 3/32 (pow.f64 x 4)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6)))))>
#<alt 1>
#<alt (+.f64 1 x)>
#<alt (+.f64 1 (*.f64 x (+.f64 1 (*.f64 1/2 x))))>
#<alt (+.f64 1 (*.f64 x (+.f64 1 (*.f64 x (+.f64 1/2 (*.f64 -1/8 (pow.f64 x 2)))))))>
#<alt (*.f64 2 x)>
#<alt (*.f64 x (+.f64 2 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))>
#<alt (*.f64 x (-.f64 (+.f64 2 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (/.f64 1/8 (pow.f64 x 4))))>
#<alt (*.f64 x (-.f64 (+.f64 2 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/16 (/.f64 1 (pow.f64 x 6))))) (/.f64 1/8 (pow.f64 x 4))))>
#<alt (/.f64 -1/2 x)>
#<alt (*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x))>
#<alt (*.f64 -1 (/.f64 (-.f64 (+.f64 1/2 (/.f64 1/16 (pow.f64 x 4))) (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x))>
#<alt (*.f64 -1 (/.f64 (-.f64 (+.f64 1/2 (/.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
1.0ms
x
@0
(log (+ x (sqrt (+ (* 1 1) (* x x)))))
1.0ms
x
@-inf
(log (+ x (sqrt (+ (* 1 1) (* x x)))))
1.0ms
x
@inf
(log (+ x (sqrt (+ (* 1 1) (* x x)))))
0.0ms
x
@inf
(+ x (sqrt (+ (* 1 1) (* x x))))
0.0ms
x
@-inf
(+ x (sqrt (+ (* 1 1) (* x x))))

rewrite196.0ms (3.8%)

Algorithm
batch-egg-rewrite
Rules
924×prod-diff
726×unpow-prod-down
455×log1p-expm1-u
455×expm1-log1p-u
432×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01042
19942
2124542
Stop Event
node limit
Counts
2 → 119
Calls
Call 1
Inputs
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (hypot.f64 1 x))
Outputs
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (+.f64 x (hypot.f64 1 x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 1 1/3) (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (pow.f64 (E.f64) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (exp.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(pow.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) -1)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(fma.f64 x 1 (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (hypot.f64 1 x) 1 x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))

simplify130.0ms (2.5%)

Algorithm
egg-herbie
Rules
1246×fma-define
980×fma-neg
734×distribute-lft-in
718×distribute-rgt-in
494×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03666537
17616135
220355391
366465367
Stop Event
node limit
Counts
143 → 220
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))))
(*.f64 x (+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 3/40 (pow.f64 x 2)) 1/6))))
(*.f64 x (+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 3/40 (*.f64 -5/112 (pow.f64 x 2)))) 1/6))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (/.f64 3/32 (pow.f64 x 4)))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6)))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 3/32 (pow.f64 x 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 3/32 (pow.f64 x 4)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6)))))
1
(+.f64 1 x)
(+.f64 1 (*.f64 x (+.f64 1 (*.f64 1/2 x))))
(+.f64 1 (*.f64 x (+.f64 1 (*.f64 x (+.f64 1/2 (*.f64 -1/8 (pow.f64 x 2)))))))
(*.f64 2 x)
(*.f64 x (+.f64 2 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 x (-.f64 (+.f64 2 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (/.f64 1/8 (pow.f64 x 4))))
(*.f64 x (-.f64 (+.f64 2 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/16 (/.f64 1 (pow.f64 x 6))))) (/.f64 1/8 (pow.f64 x 4))))
(/.f64 -1/2 x)
(*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x))
(*.f64 -1 (/.f64 (-.f64 (+.f64 1/2 (/.f64 1/16 (pow.f64 x 4))) (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x))
(*.f64 -1 (/.f64 (-.f64 (+.f64 1/2 (/.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 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (+.f64 x (hypot.f64 1 x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 1 1/3) (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (pow.f64 (E.f64) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (exp.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(pow.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) -1)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(fma.f64 x 1 (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (hypot.f64 1 x) 1 x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
Outputs
x
(*.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 x (+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 3/40 (pow.f64 x 2)) 1/6))))
(*.f64 x (+.f64 1 (*.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x 2) 3/40 -1/6) (pow.f64 x 3)))
(fma.f64 (fma.f64 (pow.f64 x 2) 3/40 -1/6) (pow.f64 x 3) x)
(*.f64 x (+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 3/40 (*.f64 -5/112 (pow.f64 x 2)))) 1/6))))
(*.f64 x (+.f64 1 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (+.f64 3/40 (*.f64 (pow.f64 x 2) -5/112)) -1/6))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -5/112 3/40) -1/6) (pow.f64 x 3)))
(fma.f64 (fma.f64 (pow.f64 x 2) 3/40 (fma.f64 -5/112 (pow.f64 x 4) -1/6)) (pow.f64 x 3) x)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (/.f64 1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (log.f64 x) (/.f64 1/4 (pow.f64 x 2))) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 x) (+.f64 (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4))) (log.f64 2)))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6)))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 2) (-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))) (/.f64 5/96 (pow.f64 x 6))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (+.f64 (log.f64 x) (/.f64 1/4 (pow.f64 x 2))) (/.f64 5/96 (pow.f64 x 6))) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 5/96 (pow.f64 x 6)) (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4)))) (log.f64 2)))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 3/32 (pow.f64 x 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x))) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (pow.f64 x 2)))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 3/32 (pow.f64 x 4)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (-.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))) (log.f64 1/2)))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (*.f64 x (+.f64 1 (*.f64 1/2 x))))
(+.f64 1 (*.f64 x (+.f64 1 (*.f64 x 1/2))))
(fma.f64 x (fma.f64 x 1/2 1) 1)
(+.f64 1 (*.f64 x (+.f64 1 (*.f64 x (+.f64 1/2 (*.f64 -1/8 (pow.f64 x 2)))))))
(+.f64 1 (*.f64 x (+.f64 1 (*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) -1/8))))))
(fma.f64 x (fma.f64 x (fma.f64 (pow.f64 x 2) -1/8 1/2) 1) 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 (+.f64 2 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (/.f64 1/8 (pow.f64 x 4))))
(*.f64 x (+.f64 2 (-.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 1/8 (pow.f64 x 4)))))
(*.f64 x (+.f64 (/.f64 1/2 (pow.f64 x 2)) (+.f64 2 (/.f64 -1/8 (pow.f64 x 4)))))
(*.f64 x (-.f64 (+.f64 2 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/16 (/.f64 1 (pow.f64 x 6))))) (/.f64 1/8 (pow.f64 x 4))))
(*.f64 x (+.f64 2 (-.f64 (+.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 1/16 (pow.f64 x 6))) (/.f64 1/8 (pow.f64 x 4)))))
(*.f64 x (+.f64 (+.f64 2 (/.f64 1/2 (pow.f64 x 2))) (+.f64 (/.f64 1/16 (pow.f64 x 6)) (/.f64 -1/8 (pow.f64 x 4)))))
(*.f64 x (+.f64 (/.f64 1/2 (pow.f64 x 2)) (+.f64 (+.f64 2 (/.f64 1/16 (pow.f64 x 6))) (/.f64 -1/8 (pow.f64 x 4)))))
(/.f64 -1/2 x)
(*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x))
(neg.f64 (/.f64 (-.f64 1/2 (/.f64 1/8 (pow.f64 x 2))) x))
(/.f64 (+.f64 1/2 (/.f64 -1/8 (pow.f64 x 2))) (neg.f64 x))
(/.f64 (+.f64 -1/2 (/.f64 1/8 (pow.f64 x 2))) x)
(*.f64 -1 (/.f64 (-.f64 (+.f64 1/2 (/.f64 1/16 (pow.f64 x 4))) (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x))
(neg.f64 (/.f64 (+.f64 1/2 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (/.f64 1/8 (pow.f64 x 2)))) x))
(/.f64 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (+.f64 1/2 (/.f64 -1/8 (pow.f64 x 2)))) (neg.f64 x))
(/.f64 (fma.f64 -1 (+.f64 1/2 (/.f64 1/16 (pow.f64 x 4))) (/.f64 1/8 (pow.f64 x 2))) x)
(*.f64 -1 (/.f64 (-.f64 (+.f64 1/2 (/.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))
(neg.f64 (/.f64 (+.f64 1/2 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (+.f64 (/.f64 1/8 (pow.f64 x 2)) (/.f64 5/128 (pow.f64 x 6))))) x))
(/.f64 (+.f64 1/2 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (+.f64 (/.f64 1/8 (pow.f64 x 2)) (/.f64 5/128 (pow.f64 x 6))))) (neg.f64 x))
(-.f64 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (-.f64 1/2 (/.f64 5/128 (pow.f64 x 6)))) (neg.f64 x)) (/.f64 -1/8 (pow.f64 x 3)))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 1 (*.f64 x (+.f64 (-.f64 x (hypot.f64 1 x)) x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log1p.f64 (*.f64 x (+.f64 (-.f64 x (hypot.f64 1 x)) x))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 1 (*.f64 x (+.f64 (-.f64 x (hypot.f64 1 x)) x))) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 1 (*.f64 x (+.f64 (-.f64 x (hypot.f64 1 x)) x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log1p.f64 (*.f64 x (+.f64 (-.f64 x (hypot.f64 1 x)) x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 1 (*.f64 x (+.f64 (-.f64 x (hypot.f64 1 x)) x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log1p.f64 (*.f64 x (+.f64 (-.f64 x (hypot.f64 1 x)) x))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (-.f64 (neg.f64 (pow.f64 (hypot.f64 1 x) 3)) (pow.f64 x 3))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (log.f64 (neg.f64 (+.f64 1 (*.f64 x (+.f64 (-.f64 x (hypot.f64 1 x)) x))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (E.f64)))
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(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) -1)
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 1 (*.f64 x (+.f64 (-.f64 x (hypot.f64 1 x)) x))))
(pow.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) -1)
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 x 1 (hypot.f64 1 x))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (hypot.f64 1 x) 1 x)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))

eval81.0ms (1.6%)

Compiler

Compiled 3462 to 2675 computations (22.7% saved)

prune43.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2164220
Fresh000
Picked011
Done000
Total2165221
Accuracy
100.0%
Counts
221 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.8%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
26.4%
(log.f64 (/.f64 -1/2 x))
30.0%
(log.f64 (+.f64 x (hypot.f64 1 x)))
25.0%
(log.f64 (*.f64 x 2))
52.2%
x
Compiler

Compiled 27 to 20 computations (25.9% saved)

localize116.0ms (2.2%)

Compiler

Compiled 44 to 29 computations (34.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 105.0ms
Operation composed, time spent: 34.0ms, 32.0% of total-time
Operation ival-log, time spent: 23.0ms, 22.0% of total-time
Operation ival-mult, time spent: 19.0ms, 18.0% of total-time
Operation ival-sqrt, time spent: 8.0ms, 8.0% of total-time
Operation ival-div, time spent: 8.0ms, 8.0% of total-time
Operation ival-add, time spent: 6.0ms, 6.0% of total-time
Operation ival-sub, time spent: 4.0ms, 4.0% of total-time
Operation const, time spent: 2.0ms, 2.0% of total-time
Operation ival-neg, time spent: 2.0ms, 2.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New000
Fresh000
Picked044
Done011
Total055
Accuracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.8%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
26.4%
(log.f64 (/.f64 -1/2 x))
30.0%
(log.f64 (+.f64 x (hypot.f64 1 x)))
25.0%
(log.f64 (*.f64 x 2))
52.2%
x
Compiler

Compiled 59 to 42 computations (28.8% saved)

regimes32.0ms (0.6%)

Counts
6 → 3
Calls
Call 1
Inputs
x
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
x
(log.f64 (+.f64 x (hypot.f64 1 x)))
Calls

3 calls:

15.0ms
x
9.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
8.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Results
AccuracySegmentsBranch
100.0%3x
89.0%3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
89.0%3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes12.0ms (0.2%)

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

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
99.6%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes73.0ms (1.4%)

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

1 calls:

72.0ms
x
Results
AccuracySegmentsBranch
99.5%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

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

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
75.3%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
52.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch62.0ms (1.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
29.0ms
1.0719778039807523e-10
321564.37858683435
32.0ms
-62.618476112801
-2.6217941058475484e-12
Results
53.0ms319×256valid
0.0ms256valid
Compiler

Compiled 244 to 180 computations (26.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
Operation ival-log, time spent: 14.0ms, 60.0% of total-time
Operation ival-add, time spent: 4.0ms, 17.0% of total-time
Operation ival-mult, time spent: 3.0ms, 13.0% of total-time
Operation ival-sqrt, time spent: 3.0ms, 13.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

bsearch55.0ms (1.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
27.0ms
1.0719778039807523e-10
321564.37858683435
27.0ms
-62.618476112801
-2.6217941058475484e-12
Results
46.0ms319×256valid
0.0ms256valid
Compiler

Compiled 214 to 160 computations (25.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
Operation ival-log, time spent: 10.0ms, 51.0% of total-time
Operation ival-add, time spent: 4.0ms, 20.0% of total-time
Operation ival-mult, time spent: 3.0ms, 15.0% of total-time
Operation ival-sqrt, time spent: 3.0ms, 15.0% of total-time
Operation const, time spent: 1.0ms, 5.0% of total-time

bsearch84.0ms (1.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
59.0ms
1.0719778039807523e-10
321564.37858683435
25.0ms
-62.618476112801
-2.6217941058475484e-12
Results
78.0ms319×256valid
0.0ms256valid
Compiler

Compiled 194 to 150 computations (22.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
Operation ival-log, time spent: 5.0ms, 33.0% of total-time
Operation ival-add, time spent: 4.0ms, 26.0% of total-time
Operation ival-mult, time spent: 3.0ms, 20.0% of total-time
Operation ival-sqrt, time spent: 3.0ms, 20.0% of total-time
Operation const, time spent: 1.0ms, 7.0% of total-time

bsearch27.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
27.0ms
1.0719778039807523e-10
321564.37858683435
Results
20.0ms159×256valid
0.0ms256valid
Compiler

Compiled 104 to 80 computations (23.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
Operation ival-log, time spent: 3.0ms, 38.0% of total-time
Operation ival-add, time spent: 2.0ms, 25.0% of total-time
Operation ival-sqrt, time spent: 2.0ms, 25.0% of total-time
Operation ival-mult, time spent: 1.0ms, 13.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

simplify8.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative
sub-neg
*-commutative
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035233
147233
252233
355233
456233
Stop Event
done
saturated
Calls
Call 1
Inputs
(if (<=.f64 x -8500259669165361/1180591620717411303424) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 2184094498327211/295147905179352825856) x (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 2184094498327211/295147905179352825856) x (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2))))
(if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2)))
x
Outputs
(if (<=.f64 x -8500259669165361/1180591620717411303424) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 2184094498327211/295147905179352825856) x (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 2184094498327211/295147905179352825856) x (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2))))
(if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2)))
x
Compiler

Compiled 73 to 51 computations (30.1% saved)

soundness313.0ms (6%)

Rules
1246×fma-define
980×fma-neg
924×prod-diff
734×distribute-lft-in
726×unpow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01042
19942
2124542
03666537
17616135
220355391
366465367
019140
14196
26996
311796
419696
528796
635096
739196
839896
Stop Event
saturated
node limit
node limit
Compiler

Compiled 636 to 455 computations (28.5% saved)

end0.0ms (0%)

preprocess76.0ms (1.5%)

Compiler

Compiled 208 to 142 computations (31.7% saved)

Profiling

Loading profile data...