Hyperbolic arcsine

Time bar (total: 6.7s)

analyze111.0ms (1.7%)

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: 60.0ms
Operation ival-sqrt, time spent: 20.0ms, 33.0% of total-time
Operation ival-log, time spent: 18.0ms, 30.0% of total-time
Operation ival-add, time spent: 11.0ms, 18.0% of total-time
Operation ival-mult, time spent: 9.0ms, 15.0% of total-time
Operation const, time spent: 2.0ms, 3.0% of total-time

sample2.9s (43.6%)

Results
424.0ms3235×256valid
1.2s2538×1024valid
383.0ms1293×512valid
534.0ms1159×2048valid
20.0ms30×4096valid
0.0ms1024valid
Precisions
Click to see histograms. Total time spent on operations: 1.9s
Operation ival-log, time spent: 1.1s, 57.0% of total-time
Operation ival-sqrt, time spent: 308.0ms, 16.0% of total-time
Operation ival-add, time spent: 305.0ms, 16.0% of total-time
Operation ival-mult, time spent: 183.0ms, 10.0% of total-time
Operation const, time spent: 32.0ms, 2.0% of total-time
Bogosity

preprocess441.0ms (6.5%)

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
1160-0-(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
660-0-(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
650-0-(sqrt.f64 (+.f64 (*.f64 x x) 1))
00-0-x
00-0-(+.f64 (*.f64 x x) 1)
00-0-(*.f64 x x)
00-0-1
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)))
Results
43.0ms214×256valid
114.0ms155×1024valid
44.0ms80×512valid
42.0ms60×2048valid
2.0ms4096valid
1.0ms1024valid
Compiler

Compiled 80 to 43 computations (46.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 180.0ms
Operation ival-log, time spent: 80.0ms, 44.0% of total-time
Operation ival-sqrt, time spent: 47.0ms, 26.0% of total-time
Operation ival-add, time spent: 39.0ms, 22.0% of total-time
Operation ival-mult, time spent: 10.0ms, 6.0% 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
33.6%
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize186.0ms (2.8%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
76.2%
(+.f64 x (hypot.f64 1 x))
58.0%
(log.f64 (+.f64 x (hypot.f64 1 x)))
Results
24.0ms108×256valid
71.0ms75×1024valid
22.0ms41×512valid
33.0ms30×2048valid
1.0ms1024valid
1.0ms4096valid
Compiler

Compiled 18 to 12 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 193.0ms
Operation composed, time spent: 77.0ms, 40.0% of total-time
Operation ival-log, time spent: 38.0ms, 20.0% of total-time
Operation ival-sqrt, time spent: 36.0ms, 19.0% of total-time
Operation ival-mult, time spent: 24.0ms, 12.0% of total-time
Operation ival-add, time spent: 15.0ms, 8.0% of total-time
Operation const, time spent: 2.0ms, 1.0% of total-time

series14.0ms (0.2%)

Counts
2 → 36
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 x (+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 3/40 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 35/1152 (pow.f64 x 2)) 5/112)))) 1/6))))>
#<alt (*.f64 x (+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 3/40 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 35/1152 (*.f64 -63/2816 (pow.f64 x 2)))) 5/112)))) 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 (+.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 (/.f64 35/1024 (pow.f64 x 8)) (/.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 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 63/2560 (/.f64 1 (pow.f64 x 10))))))) (+.f64 (/.f64 35/1024 (pow.f64 x 8)) (/.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 (-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 35/1024 (pow.f64 x 8)) (/.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 (-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 35/1024 (pow.f64 x 8)) (/.f64 3/32 (pow.f64 x 4))))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 63/2560 (/.f64 1 (pow.f64 x 10))))))>
#<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 1 (*.f64 x (+.f64 1 (*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/16 (pow.f64 x 2)) 1/8)))))))>
#<alt (+.f64 1 (*.f64 x (+.f64 1 (*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/16 (*.f64 -5/128 (pow.f64 x 2)))) 1/8)))))))>
#<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 x (-.f64 (+.f64 2 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/16 (/.f64 1 (pow.f64 x 6))))) (+.f64 (/.f64 5/128 (pow.f64 x 8)) (/.f64 1/8 (pow.f64 x 4)))))>
#<alt (*.f64 x (-.f64 (+.f64 2 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 6))) (*.f64 7/256 (/.f64 1 (pow.f64 x 10)))))) (+.f64 (/.f64 5/128 (pow.f64 x 8)) (/.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))>
#<alt (*.f64 -1 (/.f64 (-.f64 (+.f64 1/2 (+.f64 (/.f64 7/256 (pow.f64 x 8)) (/.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))>
#<alt (*.f64 -1 (/.f64 (-.f64 (+.f64 1/2 (+.f64 (/.f64 7/256 (pow.f64 x 8)) (/.f64 1/16 (pow.f64 x 4)))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 5/128 (/.f64 1 (pow.f64 x 6))) (*.f64 21/1024 (/.f64 1 (pow.f64 x 10)))))) x))>
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@0
(log (+ x (sqrt (+ (* 1 1) (* x x)))))
3.0ms
x
@inf
(log (+ x (sqrt (+ (* 1 1) (* x x)))))
2.0ms
x
@-inf
(log (+ x (sqrt (+ (* 1 1) (* x x)))))
2.0ms
x
@-inf
(+ x (sqrt (+ (* 1 1) (* x x))))
1.0ms
x
@inf
(+ x (sqrt (+ (* 1 1) (* x x))))

rewrite236.0ms (3.5%)

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))

simplify113.0ms (1.7%)

Algorithm
egg-herbie
Rules
1118×distribute-rgt-in
1102×distribute-lft-in
860×associate--l+
748×associate-+r+
498×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04527883
110367401
229766685
Stop Event
node limit
Counts
155 → 256
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 x (+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 3/40 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 35/1152 (pow.f64 x 2)) 5/112)))) 1/6))))
(*.f64 x (+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 3/40 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 35/1152 (*.f64 -63/2816 (pow.f64 x 2)))) 5/112)))) 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 (+.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 (/.f64 35/1024 (pow.f64 x 8)) (/.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 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 63/2560 (/.f64 1 (pow.f64 x 10))))))) (+.f64 (/.f64 35/1024 (pow.f64 x 8)) (/.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)))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 35/1024 (pow.f64 x 8)) (/.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 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 35/1024 (pow.f64 x 8)) (/.f64 3/32 (pow.f64 x 4))))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 63/2560 (/.f64 1 (pow.f64 x 10))))))
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 1 (*.f64 x (+.f64 1 (*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/16 (pow.f64 x 2)) 1/8)))))))
(+.f64 1 (*.f64 x (+.f64 1 (*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/16 (*.f64 -5/128 (pow.f64 x 2)))) 1/8)))))))
(*.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 x (-.f64 (+.f64 2 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/16 (/.f64 1 (pow.f64 x 6))))) (+.f64 (/.f64 5/128 (pow.f64 x 8)) (/.f64 1/8 (pow.f64 x 4)))))
(*.f64 x (-.f64 (+.f64 2 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 6))) (*.f64 7/256 (/.f64 1 (pow.f64 x 10)))))) (+.f64 (/.f64 5/128 (pow.f64 x 8)) (/.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 -1 (/.f64 (-.f64 (+.f64 1/2 (+.f64 (/.f64 7/256 (pow.f64 x 8)) (/.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 -1 (/.f64 (-.f64 (+.f64 1/2 (+.f64 (/.f64 7/256 (pow.f64 x 8)) (/.f64 1/16 (pow.f64 x 4)))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 5/128 (/.f64 1 (pow.f64 x 6))) (*.f64 21/1024 (/.f64 1 (pow.f64 x 10)))))) 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)))
(*.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)))
(*.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)))
(*.f64 x (+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 3/40 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 35/1152 (pow.f64 x 2)) 5/112)))) 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) (fma.f64 35/1152 (pow.f64 x 2) -5/112))) -1/6))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 35/1152 -5/112) 3/40) -1/6) (pow.f64 x 3)))
(*.f64 x (+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 3/40 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 35/1152 (*.f64 -63/2816 (pow.f64 x 2)))) 5/112)))) 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) (fma.f64 (pow.f64 x 2) (+.f64 35/1152 (*.f64 (pow.f64 x 2) -63/2816)) -5/112))) -1/6))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -63/2816 35/1152) -5/112) 3/40) -1/6) (pow.f64 x 3)))
(+.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 (/.f64 1/4 (pow.f64 x 2)) (log.f64 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 (+.f64 (log.f64 2) (log.f64 x)) (-.f64 (/.f64 1/4 (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 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 (log.f64 x) (-.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (log.f64 x))) (-.f64 (log.f64 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 (/.f64 35/1024 (pow.f64 x 8)) (/.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 (/.f64 3/32 (pow.f64 x 4)) (/.f64 35/1024 (pow.f64 x 8)))))
(+.f64 (log.f64 2) (-.f64 (+.f64 (log.f64 x) (-.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 3/32 (pow.f64 x 4)))) (/.f64 35/1024 (pow.f64 x 8))))
(+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (log.f64 x))) (+.f64 (-.f64 (log.f64 2) (/.f64 3/32 (pow.f64 x 4))) (/.f64 -35/1024 (pow.f64 x 8))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 63/2560 (/.f64 1 (pow.f64 x 10))))))) (+.f64 (/.f64 35/1024 (pow.f64 x 8)) (/.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 (/.f64 5/96 (pow.f64 x 6)) (/.f64 63/2560 (pow.f64 x 10)))) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 35/1024 (pow.f64 x 8)))))
(+.f64 (log.f64 2) (-.f64 (+.f64 (log.f64 x) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 63/2560 (pow.f64 x 10))))) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 35/1024 (pow.f64 x 8)))))
(+.f64 (log.f64 x) (-.f64 (+.f64 (log.f64 2) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 63/2560 (pow.f64 x 10))))) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 35/1024 (pow.f64 x 8)))))
(+.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 (+.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 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (/.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 (log.f64 (/.f64 -1 x)) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (+.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 (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 1/4 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 35/1024 (pow.f64 x 8)) (/.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 (/.f64 3/32 (pow.f64 x 4)) (/.f64 35/1024 (pow.f64 x 8))) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))))
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(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (fabs.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))))) (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))
(+.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))

eval109.0ms (1.6%)

Compiler

Compiled 4733 to 3726 computations (21.3% saved)

prune53.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2506256
Fresh000
Picked011
Done000
Total2507257
Accuracy
100.0%
Counts
257 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.9%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
31.5%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
25.9%
(log.f64 (/.f64 -1/2 x))
33.6%
(log.f64 (+.f64 x (hypot.f64 1 x)))
28.3%
(log.f64 (*.f64 x 2))
16.2%
(log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
48.5%
x
Compiler

Compiled 83 to 63 computations (24.1% saved)

localize190.0ms (2.8%)

Results
143.0ms255×256invalid
1.0ms256invalid
Compiler

Compiled 62 to 42 computations (32.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 143.0ms
Operation composed, time spent: 37.0ms, 26.0% of total-time
Operation ival-mult, time spent: 28.0ms, 20.0% of total-time
Operation ival-log, time spent: 26.0ms, 18.0% of total-time
Operation ival-pow, time spent: 17.0ms, 12.0% of total-time
Operation ival-sqrt, time spent: 13.0ms, 9.0% of total-time
Operation ival-add, time spent: 7.0ms, 5.0% of total-time
Operation ival-div, time spent: 6.0ms, 4.0% of total-time
Operation ival-sub, time spent: 4.0ms, 3.0% of total-time
Operation const, time spent: 3.0ms, 2.0% of total-time
Operation ival-neg, time spent: 1.0ms, 1.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New000
Fresh011
Picked055
Done011
Total077
Accuracy
100.0%
Counts
7 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.9%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
31.5%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
25.9%
(log.f64 (/.f64 -1/2 x))
33.6%
(log.f64 (+.f64 x (hypot.f64 1 x)))
28.3%
(log.f64 (*.f64 x 2))
16.2%
(log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
48.5%
x
Compiler

Compiled 45 to 34 computations (24.4% saved)

localize850.0ms (12.6%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
99.8%
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
76.2%
(+.f64 x (hypot.f64 1 x))
69.2%
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
58.0%
(log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
Results
42.0ms106×256valid
120.0ms75×1024valid
43.0ms43×512valid
598.0ms30×2048valid
1.0ms1024valid
2.0ms4096valid
Compiler

Compiled 37 to 27 computations (27% saved)

Precisions
Click to see histograms. Total time spent on operations: 863.0ms
Operation ival-add, time spent: 568.0ms, 66.0% of total-time
Operation composed, time spent: 109.0ms, 13.0% of total-time
Operation ival-pow, time spent: 63.0ms, 7.0% of total-time
Operation ival-mult, time spent: 43.0ms, 5.0% of total-time
Operation ival-sqrt, time spent: 36.0ms, 4.0% of total-time
Operation ival-log, time spent: 30.0ms, 3.0% of total-time
Operation ival-cbrt, time spent: 10.0ms, 1.0% of total-time
Operation const, time spent: 4.0ms, 0.0% of total-time

series14.0ms (0.2%)

Counts
3 → 54
Calls
Call 1
Inputs
#<alt (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))>
#<alt (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))>
#<alt (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)>
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 x (+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 3/40 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 35/1152 (pow.f64 x 2)) 5/112)))) 1/6))))>
#<alt (*.f64 x (+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 3/40 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 35/1152 (*.f64 -63/2816 (pow.f64 x 2)))) 5/112)))) 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 (+.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 (/.f64 35/1024 (pow.f64 x 8)) (/.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 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 63/2560 (/.f64 1 (pow.f64 x 10))))))) (+.f64 (/.f64 35/1024 (pow.f64 x 8)) (/.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 (-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 35/1024 (pow.f64 x 8)) (/.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 (-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 35/1024 (pow.f64 x 8)) (/.f64 3/32 (pow.f64 x 4))))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 63/2560 (/.f64 1 (pow.f64 x 10))))))>
#<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 1 (*.f64 x (+.f64 1 (*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/16 (pow.f64 x 2)) 1/8)))))))>
#<alt (+.f64 1 (*.f64 x (+.f64 1 (*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/16 (*.f64 -5/128 (pow.f64 x 2)))) 1/8)))))))>
#<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 x (-.f64 (+.f64 2 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/16 (/.f64 1 (pow.f64 x 6))))) (+.f64 (/.f64 5/128 (pow.f64 x 8)) (/.f64 1/8 (pow.f64 x 4)))))>
#<alt (*.f64 x (-.f64 (+.f64 2 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 6))) (*.f64 7/256 (/.f64 1 (pow.f64 x 10)))))) (+.f64 (/.f64 5/128 (pow.f64 x 8)) (/.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))>
#<alt (*.f64 -1 (/.f64 (-.f64 (+.f64 1/2 (+.f64 (/.f64 7/256 (pow.f64 x 8)) (/.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))>
#<alt (*.f64 -1 (/.f64 (-.f64 (+.f64 1/2 (+.f64 (/.f64 7/256 (pow.f64 x 8)) (/.f64 1/16 (pow.f64 x 4)))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 5/128 (/.f64 1 (pow.f64 x 6))) (*.f64 21/1024 (/.f64 1 (pow.f64 x 10)))))) x))>
#<alt 1>
#<alt (+.f64 1 (*.f64 3 x))>
#<alt (+.f64 1 (*.f64 x (+.f64 3 (*.f64 9/2 x))))>
#<alt (+.f64 1 (*.f64 x (+.f64 3 (*.f64 x (+.f64 9/2 (*.f64 4 x))))))>
#<alt (+.f64 1 (*.f64 x (+.f64 3 (*.f64 x (+.f64 9/2 (*.f64 x (+.f64 4 (*.f64 15/8 x))))))))>
#<alt (+.f64 1 (*.f64 x (+.f64 3 (*.f64 x (+.f64 9/2 (*.f64 x (+.f64 4 (*.f64 x (+.f64 15/8 (*.f64 -7/16 (pow.f64 x 2)))))))))))>
#<alt (*.f64 8 (pow.f64 x 3))>
#<alt (*.f64 (pow.f64 x 3) (+.f64 8 (*.f64 6 (/.f64 1 (pow.f64 x 2)))))>
#<alt (*.f64 (pow.f64 x 3) (+.f64 8 (+.f64 (/.f64 1/8 (pow.f64 x 6)) (*.f64 6 (/.f64 1 (pow.f64 x 2))))))>
#<alt (*.f64 (pow.f64 x 3) (-.f64 (+.f64 8 (+.f64 (/.f64 1/8 (pow.f64 x 6)) (*.f64 6 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 8)))))>
#<alt (*.f64 (pow.f64 x 3) (-.f64 (+.f64 8 (+.f64 (/.f64 9/128 (pow.f64 x 10)) (+.f64 (/.f64 1/8 (pow.f64 x 6)) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 8)))))>
#<alt (*.f64 (pow.f64 x 3) (-.f64 (+.f64 8 (+.f64 (/.f64 9/128 (pow.f64 x 10)) (+.f64 (/.f64 1/8 (pow.f64 x 6)) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 8))) (*.f64 7/128 (/.f64 1 (pow.f64 x 12))))))>
#<alt (/.f64 -1/8 (pow.f64 x 3))>
#<alt (*.f64 -1 (/.f64 (-.f64 1/8 (*.f64 3/32 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 3)))>
#<alt (*.f64 -1 (/.f64 (-.f64 (+.f64 1/8 (/.f64 9/128 (pow.f64 x 4))) (*.f64 3/32 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 3)))>
#<alt (*.f64 -1 (/.f64 (-.f64 (+.f64 1/8 (/.f64 9/128 (pow.f64 x 4))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 2))) (*.f64 7/128 (/.f64 1 (pow.f64 x 6))))) (pow.f64 x 3)))>
#<alt (*.f64 -1 (/.f64 (-.f64 (+.f64 1/8 (+.f64 (/.f64 45/1024 (pow.f64 x 8)) (/.f64 9/128 (pow.f64 x 4)))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 2))) (*.f64 7/128 (/.f64 1 (pow.f64 x 6))))) (pow.f64 x 3)))>
#<alt (*.f64 -1 (/.f64 (-.f64 (+.f64 1/8 (+.f64 (/.f64 45/1024 (pow.f64 x 8)) (/.f64 9/128 (pow.f64 x 4)))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 7/128 (/.f64 1 (pow.f64 x 6))) (*.f64 297/8192 (/.f64 1 (pow.f64 x 10)))))) (pow.f64 x 3)))>
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(pow (+ x (sqrt (+ (* 1 1) (* x x)))) 3)
1.0ms
x
@-inf
(pow (+ x (sqrt (+ (* 1 1) (* x x)))) 3)
1.0ms
x
@0
(pow (+ x (sqrt (+ (* 1 1) (* x x)))) 3)
0.0ms
x
@inf
(log (cbrt (pow (+ x (sqrt (+ (* 1 1) (* x x)))) 3)))
0.0ms
x
@-inf
(log (cbrt (pow (+ x (sqrt (+ (* 1 1) (* x x)))) 3)))

rewrite100.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1024×unpow-prod-down
924×prod-diff
535×log1p-expm1-u
535×expm1-log1p-u
516×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01367
114467
2153567
Stop Event
node limit
Counts
3 → 193
Calls
Call 1
Inputs
(log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
Outputs
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))
(+.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)))))
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(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 x (hypot.f64 1 x)) 5/2))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/4) (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) 3/2))
(*.f64 (pow.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) 3) (pow.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))) 3))
(*.f64 (pow.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) 3) (pow.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))) 3))
(*.f64 (pow.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 5/2) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) 3/2) (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 4) 3/2) (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 5) 3/2) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 9)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 9)) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 7) 1/3) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 8) 1/3) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 15/2) 1/3) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (pow.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) 3) (pow.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) 3) (pow.f64 (-.f64 x (hypot.f64 1 x)) 3))
(/.f64 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (+.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 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (-.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 6))
(log.f64 (exp.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) 3/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 9)) 1/3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2) 2))
(fma.f64 x (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (*.f64 (hypot.f64 1 x) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(fma.f64 (hypot.f64 1 x) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (*.f64 x (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(fma.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) x (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (hypot.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (hypot.f64 1 x) (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) x))

simplify188.0ms (2.8%)

Algorithm
egg-herbie
Rules
672×sub-neg
554×fma-define
540×times-frac
532×associate--r+
414×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
07004294979137
116094294978839
246884294978140
Stop Event
node limit
Counts
247 → 416
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 x (+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 3/40 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 35/1152 (pow.f64 x 2)) 5/112)))) 1/6))))
(*.f64 x (+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 3/40 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 35/1152 (*.f64 -63/2816 (pow.f64 x 2)))) 5/112)))) 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 (+.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 (/.f64 35/1024 (pow.f64 x 8)) (/.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 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 63/2560 (/.f64 1 (pow.f64 x 10))))))) (+.f64 (/.f64 35/1024 (pow.f64 x 8)) (/.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)))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 35/1024 (pow.f64 x 8)) (/.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 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 35/1024 (pow.f64 x 8)) (/.f64 3/32 (pow.f64 x 4))))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 63/2560 (/.f64 1 (pow.f64 x 10))))))
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 1 (*.f64 x (+.f64 1 (*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/16 (pow.f64 x 2)) 1/8)))))))
(+.f64 1 (*.f64 x (+.f64 1 (*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/16 (*.f64 -5/128 (pow.f64 x 2)))) 1/8)))))))
(*.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 x (-.f64 (+.f64 2 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/16 (/.f64 1 (pow.f64 x 6))))) (+.f64 (/.f64 5/128 (pow.f64 x 8)) (/.f64 1/8 (pow.f64 x 4)))))
(*.f64 x (-.f64 (+.f64 2 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 6))) (*.f64 7/256 (/.f64 1 (pow.f64 x 10)))))) (+.f64 (/.f64 5/128 (pow.f64 x 8)) (/.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 -1 (/.f64 (-.f64 (+.f64 1/2 (+.f64 (/.f64 7/256 (pow.f64 x 8)) (/.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 -1 (/.f64 (-.f64 (+.f64 1/2 (+.f64 (/.f64 7/256 (pow.f64 x 8)) (/.f64 1/16 (pow.f64 x 4)))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 5/128 (/.f64 1 (pow.f64 x 6))) (*.f64 21/1024 (/.f64 1 (pow.f64 x 10)))))) x))
1
(+.f64 1 (*.f64 3 x))
(+.f64 1 (*.f64 x (+.f64 3 (*.f64 9/2 x))))
(+.f64 1 (*.f64 x (+.f64 3 (*.f64 x (+.f64 9/2 (*.f64 4 x))))))
(+.f64 1 (*.f64 x (+.f64 3 (*.f64 x (+.f64 9/2 (*.f64 x (+.f64 4 (*.f64 15/8 x))))))))
(+.f64 1 (*.f64 x (+.f64 3 (*.f64 x (+.f64 9/2 (*.f64 x (+.f64 4 (*.f64 x (+.f64 15/8 (*.f64 -7/16 (pow.f64 x 2)))))))))))
(*.f64 8 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (+.f64 8 (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(*.f64 (pow.f64 x 3) (+.f64 8 (+.f64 (/.f64 1/8 (pow.f64 x 6)) (*.f64 6 (/.f64 1 (pow.f64 x 2))))))
(*.f64 (pow.f64 x 3) (-.f64 (+.f64 8 (+.f64 (/.f64 1/8 (pow.f64 x 6)) (*.f64 6 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 8)))))
(*.f64 (pow.f64 x 3) (-.f64 (+.f64 8 (+.f64 (/.f64 9/128 (pow.f64 x 10)) (+.f64 (/.f64 1/8 (pow.f64 x 6)) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 8)))))
(*.f64 (pow.f64 x 3) (-.f64 (+.f64 8 (+.f64 (/.f64 9/128 (pow.f64 x 10)) (+.f64 (/.f64 1/8 (pow.f64 x 6)) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 8))) (*.f64 7/128 (/.f64 1 (pow.f64 x 12))))))
(/.f64 -1/8 (pow.f64 x 3))
(*.f64 -1 (/.f64 (-.f64 1/8 (*.f64 3/32 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 3)))
(*.f64 -1 (/.f64 (-.f64 (+.f64 1/8 (/.f64 9/128 (pow.f64 x 4))) (*.f64 3/32 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 3)))
(*.f64 -1 (/.f64 (-.f64 (+.f64 1/8 (/.f64 9/128 (pow.f64 x 4))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 2))) (*.f64 7/128 (/.f64 1 (pow.f64 x 6))))) (pow.f64 x 3)))
(*.f64 -1 (/.f64 (-.f64 (+.f64 1/8 (+.f64 (/.f64 45/1024 (pow.f64 x 8)) (/.f64 9/128 (pow.f64 x 4)))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 2))) (*.f64 7/128 (/.f64 1 (pow.f64 x 6))))) (pow.f64 x 3)))
(*.f64 -1 (/.f64 (-.f64 (+.f64 1/8 (+.f64 (/.f64 45/1024 (pow.f64 x 8)) (/.f64 9/128 (pow.f64 x 4)))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 7/128 (/.f64 1 (pow.f64 x 6))) (*.f64 297/8192 (/.f64 1 (pow.f64 x 10)))))) (pow.f64 x 3)))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))
(+.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 (exp.f64 (log1p.f64 (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 3 (log.f64 (cbrt.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 (exp.f64 1)))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3)
(*.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 2 (log.f64 (sqrt.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)
(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)))))
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(fma.f64 x (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (*.f64 (hypot.f64 1 x) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(fma.f64 (hypot.f64 1 x) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (*.f64 x (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(fma.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) x (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (hypot.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (hypot.f64 1 x) (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) x))
Outputs
x
(*.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(*.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)))
(*.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)))
(*.f64 x (+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 3/40 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 35/1152 (pow.f64 x 2)) 5/112)))) 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) (fma.f64 35/1152 (pow.f64 x 2) -5/112))) -1/6))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 35/1152 -5/112) 3/40) -1/6) (pow.f64 x 3)))
(*.f64 x (+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 3/40 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 35/1152 (*.f64 -63/2816 (pow.f64 x 2)))) 5/112)))) 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) (fma.f64 (pow.f64 x 2) (+.f64 35/1152 (*.f64 (pow.f64 x 2) -63/2816)) -5/112))) -1/6))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -63/2816 35/1152) -5/112) 3/40) -1/6) (pow.f64 x 3)))
(+.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 (log.f64 x) (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 1/4 (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 (+.f64 (log.f64 2) (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (+.f64 (/.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 (log.f64 x) (/.f64 1/4 (pow.f64 x 2))) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (/.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 (/.f64 35/1024 (pow.f64 x 8)) (/.f64 3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (fma.f64 -1 (neg.f64 (log.f64 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 35/1024 (pow.f64 x 8))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (-.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 35/1024 (pow.f64 x 8)))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (log.f64 x) (/.f64 1/4 (pow.f64 x 2))) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (+.f64 (/.f64 -3/32 (pow.f64 x 4)) (/.f64 -35/1024 (pow.f64 x 8))))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 63/2560 (/.f64 1 (pow.f64 x 10))))))) (+.f64 (/.f64 35/1024 (pow.f64 x 8)) (/.f64 3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 63/2560 (pow.f64 x 10)))))) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 35/1024 (pow.f64 x 8))))
(+.f64 (log.f64 2) (-.f64 (-.f64 (+.f64 (log.f64 x) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 63/2560 (pow.f64 x 10))))) (/.f64 35/1024 (pow.f64 x 8))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (+.f64 (log.f64 x) (/.f64 1/4 (pow.f64 x 2))) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 63/2560 (pow.f64 x 10)))) (+.f64 (log.f64 2) (+.f64 (/.f64 -3/32 (pow.f64 x 4)) (/.f64 -35/1024 (pow.f64 x 8)))))
(+.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 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 (+.f64 (log.f64 1/2) (+.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 (/.f64 3/32 (pow.f64 x 4)) (+.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 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (pow.f64 x 2)))) (-.f64 (/.f64 5/96 (pow.f64 x 6)) (log.f64 1/2)))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 35/1024 (pow.f64 x 8)) (/.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 (/.f64 3/32 (pow.f64 x 4)) (/.f64 35/1024 (pow.f64 x 8))) (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 (/.f64 3/32 (pow.f64 x 4)) (/.f64 35/1024 (pow.f64 x 8))) (-.f64 (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 (/.f64 3/32 (pow.f64 x 4)) (/.f64 35/1024 (pow.f64 x 8))) (-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (pow.f64 x 2))) (/.f64 5/96 (pow.f64 x 6)))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 35/1024 (pow.f64 x 8)) (/.f64 3/32 (pow.f64 x 4))))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 63/2560 (/.f64 1 (pow.f64 x 10))))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 35/1024 (pow.f64 x 8))) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 63/2560 (pow.f64 x 10))))))
(+.f64 (log.f64 1/2) (+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 35/1024 (pow.f64 x 8))) (-.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 63/2560 (pow.f64 x 10)))))))
(+.f64 (log.f64 1/2) (+.f64 (+.f64 (/.f64 35/1024 (pow.f64 x 8)) (log.f64 (/.f64 -1 x))) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 -1/4 (pow.f64 x 2))) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 63/2560 (pow.f64 x 10))))))
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 1 (*.f64 x (+.f64 1 (*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/16 (pow.f64 x 2)) 1/8)))))))
(+.f64 1 (*.f64 x (+.f64 1 (*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 2) -1/8)))))))
(fma.f64 x (fma.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 1/16 -1/8) 1/2) 1) 1)
(+.f64 1 (*.f64 x (+.f64 1 (*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/16 (*.f64 -5/128 (pow.f64 x 2)))) 1/8)))))))
(+.f64 1 (*.f64 x (+.f64 1 (*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (+.f64 1/16 (*.f64 (pow.f64 x 2) -5/128)) -1/8)))))))
(fma.f64 x (fma.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -5/128 1/16) -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 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 2 (+.f64 (/.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 2 (+.f64 (/.f64 1/16 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (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 (/.f64 5/128 (pow.f64 x 8)) (/.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 (/.f64 1/8 (pow.f64 x 4)) (/.f64 5/128 (pow.f64 x 8))))))
(*.f64 x (+.f64 2 (+.f64 (/.f64 1/16 (pow.f64 x 6)) (-.f64 (/.f64 1/2 (pow.f64 x 2)) (+.f64 (/.f64 1/8 (pow.f64 x 4)) (/.f64 5/128 (pow.f64 x 8)))))))
(*.f64 x (+.f64 (+.f64 2 (/.f64 1/2 (pow.f64 x 2))) (+.f64 (/.f64 1/16 (pow.f64 x 6)) (+.f64 (/.f64 -1/8 (pow.f64 x 4)) (/.f64 -5/128 (pow.f64 x 8))))))
(*.f64 x (-.f64 (+.f64 2 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 6))) (*.f64 7/256 (/.f64 1 (pow.f64 x 10)))))) (+.f64 (/.f64 5/128 (pow.f64 x 8)) (/.f64 1/8 (pow.f64 x 4)))))
(*.f64 x (+.f64 2 (-.f64 (+.f64 (/.f64 1/2 (pow.f64 x 2)) (+.f64 (/.f64 1/16 (pow.f64 x 6)) (/.f64 7/256 (pow.f64 x 10)))) (+.f64 (/.f64 1/8 (pow.f64 x 4)) (/.f64 5/128 (pow.f64 x 8))))))
(*.f64 x (-.f64 (+.f64 (+.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 1/16 (pow.f64 x 6))) (+.f64 (/.f64 7/256 (pow.f64 x 10)) 2)) (+.f64 (/.f64 1/8 (pow.f64 x 4)) (/.f64 5/128 (pow.f64 x 8)))))
(*.f64 x (+.f64 (+.f64 (/.f64 1/16 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 7/256 (pow.f64 x 10)))) (+.f64 2 (+.f64 (/.f64 -1/8 (pow.f64 x 4)) (/.f64 -5/128 (pow.f64 x 8))))))
(/.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 (neg.f64 x)) (/.f64 -1/8 (pow.f64 x 3)))
(*.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 (+.f64 1/2 (/.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 (/.f64 (+.f64 1/2 (/.f64 1/16 (pow.f64 x 4))) (neg.f64 x)) (/.f64 -1/8 (pow.f64 x 3)))
(*.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 -1/8 (pow.f64 x 2))) (-.f64 (/.f64 5/128 (pow.f64 x 6)) 1/2)) (neg.f64 x))
(*.f64 -1 (/.f64 (-.f64 (+.f64 1/2 (+.f64 (/.f64 7/256 (pow.f64 x 8)) (/.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 (/.f64 1/16 (pow.f64 x 4)) (/.f64 7/256 (pow.f64 x 8))) (+.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 7/256 (pow.f64 x 8)) (+.f64 (/.f64 1/8 (pow.f64 x 2)) (/.f64 5/128 (pow.f64 x 6)))))) (neg.f64 x))
(-.f64 (/.f64 (+.f64 (+.f64 (+.f64 1/2 (/.f64 1/16 (pow.f64 x 4))) (/.f64 7/256 (pow.f64 x 8))) (/.f64 -5/128 (pow.f64 x 6))) (neg.f64 x)) (/.f64 -1/8 (pow.f64 x 3)))
(*.f64 -1 (/.f64 (-.f64 (+.f64 1/2 (+.f64 (/.f64 7/256 (pow.f64 x 8)) (/.f64 1/16 (pow.f64 x 4)))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 5/128 (/.f64 1 (pow.f64 x 6))) (*.f64 21/1024 (/.f64 1 (pow.f64 x 10)))))) x))
(neg.f64 (/.f64 (+.f64 1/2 (-.f64 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (/.f64 7/256 (pow.f64 x 8))) (+.f64 (/.f64 1/8 (pow.f64 x 2)) (+.f64 (/.f64 5/128 (pow.f64 x 6)) (/.f64 21/1024 (pow.f64 x 10)))))) x))
(/.f64 (+.f64 1/2 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (-.f64 (/.f64 7/256 (pow.f64 x 8)) (+.f64 (/.f64 1/8 (pow.f64 x 2)) (+.f64 (/.f64 5/128 (pow.f64 x 6)) (/.f64 21/1024 (pow.f64 x 10))))))) (neg.f64 x))
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1
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(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) (log.f64 (exp.f64 1)))
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(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 7))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 x (hypot.f64 1 x)) 5/2))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/4) (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) 3/2))
(*.f64 (pow.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) 3) (pow.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))) 3))
(*.f64 (pow.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 3) (/.f64 1 (pow.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) 3)))
(/.f64 (pow.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 3) (pow.f64 (+.f64 (*.f64 x (+.f64 (-.f64 x (hypot.f64 1 x)) x)) 1) 3))
(*.f64 (pow.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) 3) (pow.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))) 3))
(*.f64 (pow.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) 3) (/.f64 1 (pow.f64 (-.f64 x (hypot.f64 1 x)) 3)))
(/.f64 -1 (pow.f64 (-.f64 x (hypot.f64 1 x)) 3))
(*.f64 (pow.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 5/2) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 x (hypot.f64 1 x)) 5/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) 3/2) (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/4))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/4) (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 4) 3/2) (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 4) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 5) 3/2) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 5) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 9)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 9)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 9))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 9))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 7) 1/3) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 7)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 8) 1/3) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 8)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 15/2) 1/3) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 15/2)))
(/.f64 (pow.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) 3) (pow.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) 3))
(*.f64 (pow.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 3) (/.f64 1 (pow.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) 3)))
(/.f64 (pow.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 3) (pow.f64 (+.f64 (*.f64 x (+.f64 (-.f64 x (hypot.f64 1 x)) x)) 1) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) 3) (pow.f64 (-.f64 x (hypot.f64 1 x)) 3))
(*.f64 (pow.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) 3) (/.f64 1 (pow.f64 (-.f64 x (hypot.f64 1 x)) 3)))
(/.f64 -1 (pow.f64 (-.f64 x (hypot.f64 1 x)) 3))
(/.f64 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (+.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 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(/.f64 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (+.f64 (*.f64 x (+.f64 (-.f64 x (hypot.f64 1 x)) x)) 1))
(/.f64 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (-.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x))))
(*.f64 -1 (/.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 x (hypot.f64 1 x))))
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(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(/.f64 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (+.f64 (*.f64 x (+.f64 (-.f64 x (hypot.f64 1 x)) x)) 1))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (-.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x))))
(*.f64 -1 (/.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 x (hypot.f64 1 x))))
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(log.f64 (exp.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(exp.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) 3/2))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 9)) 1/3))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 9))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) 1))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2) 2))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(fma.f64 x (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (*.f64 (hypot.f64 1 x) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(fma.f64 (hypot.f64 1 x) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (*.f64 x (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(fma.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) x (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (hypot.f64 1 x)))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(fma.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (hypot.f64 1 x) (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)

eval298.0ms (4.4%)

Compiler

Compiled 10861 to 8676 computations (20.1% saved)

prune97.0ms (1.4%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New5540554
Fresh000
Picked011
Done066
Total5547561
Accuracy
100.0%
Counts
561 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.9%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
31.5%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
25.9%
(log.f64 (/.f64 -1/2 x))
33.6%
(log.f64 (+.f64 x (hypot.f64 1 x)))
28.3%
(log.f64 (*.f64 x 2))
16.2%
(log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
48.5%
x
Compiler

Compiled 93 to 68 computations (26.9% saved)

regimes33.0ms (0.5%)

Counts
8 → 3
Calls
Call 1
Inputs
x
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(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))))
(log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
Calls

3 calls:

15.0ms
x
10.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
8.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Results
AccuracySegmentsBranch
100.0%3x
88.6%3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
88.6%3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes19.0ms (0.3%)

Counts
5 → 3
Calls
Call 1
Inputs
x
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
Calls

1 calls:

19.0ms
x
Results
AccuracySegmentsBranch
99.5%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.2%)

Counts
4 → 3
Calls
Call 1
Inputs
x
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (*.f64 x 2))
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
98.6%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.2%)

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:

10.0ms
x
Results
AccuracySegmentsBranch
98.5%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
74.6%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
48.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch62.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
2.743400523427498e-5
0.332679968401998
41.0ms
-7.4576365742321125
-5.791345943393072e-11
Results
47.0ms287×256valid
0.0ms256valid
Compiler

Compiled 330 to 254 computations (23% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
Operation ival-sqrt, time spent: 19.0ms, 61.0% of total-time
Operation ival-log, time spent: 6.0ms, 19.0% of total-time
Operation ival-add, time spent: 3.0ms, 10.0% of total-time
Operation ival-mult, time spent: 3.0ms, 10.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

bsearch53.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
2.743400523427498e-5
0.332679968401998
28.0ms
-7.4576365742321125
-5.791345943393072e-11
Results
39.0ms287×256valid
0.0ms256valid
Compiler

Compiled 300 to 234 computations (22% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
Operation ival-log, time spent: 7.0ms, 42.0% of total-time
Operation ival-sqrt, time spent: 4.0ms, 24.0% of total-time
Operation ival-add, time spent: 3.0ms, 18.0% of total-time
Operation ival-mult, time spent: 3.0ms, 18.0% of total-time
Operation const, time spent: 1.0ms, 6.0% of total-time

bsearch50.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
0.332679968401998
8.610807559726052
27.0ms
-7.4576365742321125
-5.791345943393072e-11
Results
35.0ms271×256valid
0.0ms256valid
Compiler

Compiled 269 to 214 computations (20.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
Operation ival-log, time spent: 8.0ms, 45.0% of total-time
Operation ival-sqrt, time spent: 4.0ms, 22.0% of total-time
Operation ival-add, time spent: 3.0ms, 17.0% of total-time
Operation ival-mult, time spent: 2.0ms, 11.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch51.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
0.332679968401998
8.610807559726052
31.0ms
-7.4576365742321125
-5.791345943393072e-11
Results
39.0ms271×256valid
0.0ms256valid
Compiler

Compiled 167 to 129 computations (22.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
Operation ival-add, time spent: 10.0ms, 40.0% of total-time
Operation ival-log, time spent: 6.0ms, 24.0% of total-time
Operation ival-sqrt, time spent: 6.0ms, 24.0% of total-time
Operation ival-mult, time spent: 2.0ms, 8.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch20.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
0.332679968401998
8.610807559726052
Results
12.0ms111×256valid
0.0ms256valid
Compiler

Compiled 77 to 59 computations (23.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
Operation ival-log, time spent: 2.0ms, 32.0% of total-time
Operation ival-sqrt, time spent: 2.0ms, 32.0% of total-time
Operation ival-add, time spent: 1.0ms, 16.0% of total-time
Operation ival-mult, time spent: 1.0ms, 16.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

simplify11.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
042352
156352
261352
364352
465352
Stop Event
done
saturated
Calls
Call 1
Inputs
(if (<=.f64 x -3458764513820541/4611686018427387904) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 6456360425798343/9223372036854775808) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 6456360425798343/9223372036854775808) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5674535530486825/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5674535530486825/4503599627370496) x (log.f64 (*.f64 x 2))))
(if (<=.f64 x 5674535530486825/4503599627370496) x (log.f64 (*.f64 x 2)))
x
Outputs
(if (<=.f64 x -3458764513820541/4611686018427387904) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 6456360425798343/9223372036854775808) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 6456360425798343/9223372036854775808) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5674535530486825/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5674535530486825/4503599627370496) x (log.f64 (*.f64 x 2))))
(if (<=.f64 x 5674535530486825/4503599627370496) x (log.f64 (*.f64 x 2)))
x
Compiler

Compiled 109 to 79 computations (27.5% saved)

soundness365.0ms (5.4%)

Rules
1118×distribute-rgt-in
1102×distribute-lft-in
924×prod-diff
860×associate--l+
748×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04527883
110367401
229766685
01042
19942
2124542
019140
14196
26996
311796
419696
528796
635096
739196
839896
Stop Event
saturated
node limit
node limit
Compiler

Compiled 514 to 367 computations (28.6% saved)

end0.0ms (0%)

preprocess97.0ms (1.4%)

Compiler

Compiled 278 to 196 computations (29.5% saved)

Profiling

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