Details

Time bar (total: 3.7s)

analyze6.0ms (0.2%)

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
0%0%50%0%0%50%0%3
33.3%12.5%25%0%0%62.5%0%4
60%18.7%12.5%0%0%68.7%0%5
77.8%21.9%6.2%0%0%71.8%0%6
88.2%23.4%3.1%0%0%73.4%0%7
93.9%24.2%1.6%0%0%74.2%0%8
96.9%24.6%0.8%0%0%74.6%0%9
98.4%24.8%0.4%0%0%74.8%0%10
99.2%24.9%0.2%0%0%74.9%0%11
99.6%24.9%0.1%0%0%74.9%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.2s (32.6%)

Results
1.2s8256×body256valid
2.0ms17×body256invalid
Bogosity

preprocess128.0ms (3.5%)

Algorithm
egg-herbie
Rules
600×unsub-neg_binary64
587×distribute-rgt-out--_binary64
492×fma-neg_binary64
438×distribute-neg-in_binary64
411×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
11820
22520
33620
45320
58120
612820
734520
871320
9151820
10289820
11433820
12531220
13562320
14592720
15602820
16610620
17637420
18732020
011
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify117.0ms (3.2%)

Algorithm
egg-herbie
Rules
600×unsub-neg_binary64
587×distribute-rgt-out--_binary64
492×fma-neg_binary64
438×distribute-neg-in_binary64
411×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
11820
22520
33620
45320
58120
612820
734520
871320
9151820
10289820
11433820
12531220
13562320
14592720
15602820
16610620
17637420
18732020
Stop Event
node limit
Counts
1 → 1
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

eval0.0ms (0%)

Compiler

Compiled 14 to 10 computations (28.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize20.0ms (0.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
0.0b
(sqrt.f64 (-.f64 1 (*.f64 x x)))
Compiler

Compiled 53 to 29 computations (45.3% saved)

series5.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
1.0ms
x
@inf
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
1.0ms
x
@inf
(sqrt.f64 (-.f64 1 (*.f64 x x)))
1.0ms
x
@0
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
1.0ms
x
@0
(sqrt.f64 (-.f64 1 (*.f64 x x)))

rewrite100.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
519×log-prod_binary64
399×fma-def_binary64
367×pow-prod-down_binary64
282×pow2_binary64
203×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01029
122529
2329327
Stop Event
node limit
Counts
2 → 88
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Outputs
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x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))) (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (fma.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1))))))

simplify63.0ms (1.7%)

Algorithm
egg-herbie
Rules
600×times-frac_binary64
423×associate-/r*_binary64
221×associate-/l*_binary64
215×unswap-sqr_binary64
205×log-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03322592
18202448
226662371
Stop Event
node limit
Counts
112 → 196
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 -1) x)
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(*.f64 -1 (*.f64 (sqrt.f64 -1) x))
(-.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (*.f64 -5/96 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x))))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (log.f64 (sqrt.f64 -1)))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(log.f64 (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))
(+.f64 0 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 (*.f64 x x)) 1/6))
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (hypot.f64 1 (hypot.f64 x (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x))
(pow.f64 (-.f64 1 (*.f64 x x)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) 1/4)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) 1/6)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1/3)
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) 3)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))
(hypot.f64 1 (sqrt.f64 (*.f64 x (neg.f64 x))))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(exp.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1))
(+.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 0)
(+.f64 0 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))
(+.f64 (*.f64 2 (*.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (*.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (log.f64 (pow.f64 x -2)))
(+.f64 (log.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))) (log.f64 (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)) (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)))
(+.f64 (*.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (*.f64 2 (*.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(+.f64 (log.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (log.f64 (/.f64 1 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))))))
(+.f64 (log.f64 (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)) (neg.f64 (log.f64 x)))
(-.f64 0 (log.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))) (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)))))
(-.f64 0 (log.f64 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) 1)
(-.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (log.f64 (*.f64 x x)))
(-.f64 (log.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))) (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(-.f64 (log.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (log.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x)))))
(-.f64 (log.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (log.f64 (fma.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2) (-.f64 (pow.f64 x -2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (log.f64 (*.f64 x (neg.f64 x))))
(-.f64 (log.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)))) (log.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))))) (log.f64 (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(-.f64 (log.f64 (fma.f64 x (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) x)) (log.f64 (*.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (log.f64 (fma.f64 -1 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (neg.f64 x) 1))) (log.f64 (*.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (log.f64 (fma.f64 -1 x (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (*.f64 x (neg.f64 x))))
(-.f64 (log.f64 (fma.f64 -1 x (*.f64 x (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (log.f64 (*.f64 x (neg.f64 x))))
(-.f64 (log.f64 (fma.f64 -1 (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (log.f64 (pow.f64 (neg.f64 x) 2)))
(-.f64 (log.f64 (+.f64 x (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1))) (log.f64 (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(-.f64 (log.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x (*.f64 (neg.f64 x) 1))) (log.f64 (*.f64 x (neg.f64 x))))
(-.f64 (log.f64 (fma.f64 -1 x (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1))) (log.f64 (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x))))
(-.f64 (log.f64 (fma.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x) (*.f64 x -1))) (log.f64 (*.f64 x (neg.f64 x))))
(-.f64 (log.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x) (*.f64 (neg.f64 x) -1))) (log.f64 (pow.f64 (neg.f64 x) 2)))
(-.f64 (log.f64 (fma.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2) (neg.f64 (pow.f64 x -2)))) (log.f64 (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x))))
(-.f64 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1)) (log.f64 (*.f64 x x)))
(-.f64 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x)) (log.f64 x))
(-.f64 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (*.f64 (cbrt.f64 x) x))) (*.f64 2 (log.f64 (cbrt.f64 x))))
(*.f64 1 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(*.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2) (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(*.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(*.f64 2 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)))
(*.f64 3 (*.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(*.f64 1/3 (*.f64 3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(pow.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 3)
(pow.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2)
(neg.f64 (log.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(neg.f64 (log.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))) (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)))))
(neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))))))
(sqrt.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(cbrt.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))
(expm1.f64 (log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(log1p.f64 (fma.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) -1))
(exp.f64 (log.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1))
Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) 1) (*.f64 -1/8 (pow.f64 x 4)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/16 (pow.f64 x 6) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 -1/16 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) 1) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 -1/16 (pow.f64 x 6))))
(*.f64 (sqrt.f64 -1) x)
(*.f64 x (sqrt.f64 -1))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))
(+.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (-.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) (/.f64 -1/8 (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 x 3))))
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))) (/.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (-.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))))
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (/.f64 -1/8 (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 x 3)))))
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (/.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 x 3))))
(*.f64 -1 (*.f64 (sqrt.f64 -1) x))
(*.f64 (neg.f64 (sqrt.f64 -1)) x)
(*.f64 (sqrt.f64 -1) (neg.f64 x))
(-.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(-.f64 (*.f64 (neg.f64 (sqrt.f64 -1)) x) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (/.f64 -1/2 (*.f64 x (sqrt.f64 -1))) (*.f64 x (sqrt.f64 -1)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (*.f64 (neg.f64 (sqrt.f64 -1)) x)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))))
(-.f64 (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x)))))
(-.f64 (+.f64 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (*.f64 (neg.f64 (sqrt.f64 -1)) x)) (+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))
(-.f64 (fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))
(+.f64 (-.f64 (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))) (/.f64 -1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (-.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 x)))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (*.f64 x (*.f64 x -1/4)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -3/32 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 (*.f64 x x) -1/4 (*.f64 (pow.f64 x 4) -3/32)) (log.f64 x)))
(+.f64 (fma.f64 (*.f64 x x) -1/4 (*.f64 (pow.f64 x 4) -3/32)) (-.f64 (log.f64 2) (log.f64 x)))
(+.f64 (*.f64 -5/96 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x))))))
(fma.f64 -5/96 (pow.f64 x 6) (+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -3/32 (pow.f64 x 4) (neg.f64 (log.f64 x))))))
(+.f64 (-.f64 (fma.f64 (*.f64 x x) -1/4 (*.f64 (pow.f64 x 4) -3/32)) (log.f64 x)) (fma.f64 (pow.f64 x 6) -5/96 (log.f64 2)))
(-.f64 (fma.f64 (*.f64 x x) -1/4 (*.f64 (pow.f64 x 4) -3/32)) (-.f64 (log.f64 x) (fma.f64 (pow.f64 x 6) -5/96 (log.f64 2))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1)))
(+.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (log.f64 (sqrt.f64 -1)))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (log.f64 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (-.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 -1/6 (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1/6 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (log.f64 (sqrt.f64 -1)))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (-.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 1/6 (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (/.f64 1/6 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))))
(log.f64 (*.f64 -1 (sqrt.f64 -1)))
(log.f64 (neg.f64 (sqrt.f64 -1)))
(-.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 (/.f64 1 (sqrt.f64 -1)) x))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 -1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (/.f64 (/.f64 1 (sqrt.f64 -1)) x)))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (fma.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) 1/6 (/.f64 -1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 (/.f64 -1/6 (sqrt.f64 -1)) (pow.f64 x 3)) (+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))
(-.f64 (+.f64 (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (log.f64 (neg.f64 (sqrt.f64 -1)))) (+.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (fma.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) 1/6 (/.f64 -1 (*.f64 x (sqrt.f64 -1)))) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))
(+.f64 (/.f64 (/.f64 -1/6 (sqrt.f64 -1)) (pow.f64 x 3)) (+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (+.f64 (/.f64 -1 (*.f64 x (sqrt.f64 -1))) (/.f64 -3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))
(+.f64 0 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(*.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 (*.f64 x x)) 1/6))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) 3)
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 (*.f64 x x)) 1/6))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) 3)
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (hypot.f64 1 (hypot.f64 x (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x))
(pow.f64 (-.f64 1 (*.f64 x x)) 1/2)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) 1/4)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) 1/6)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) 3)
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 (*.f64 x x)) 1/6))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 2)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))
(hypot.f64 1 (sqrt.f64 (*.f64 x (neg.f64 x))))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(exp.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))))
(pow.f64 (exp.f64 1/2) (log1p.f64 (*.f64 x (neg.f64 x))))
(sqrt.f64 (exp.f64 (log1p.f64 (*.f64 x (neg.f64 x)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2))
(pow.f64 (exp.f64 1/2) (log1p.f64 (*.f64 x (neg.f64 x))))
(sqrt.f64 (exp.f64 (log1p.f64 (*.f64 x (neg.f64 x)))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1))
(pow.f64 (exp.f64 1/2) (log1p.f64 (*.f64 x (neg.f64 x))))
(sqrt.f64 (exp.f64 (log1p.f64 (*.f64 x (neg.f64 x)))))
(+.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 0)
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(+.f64 0 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
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(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(*.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2) (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(*.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(*.f64 2 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)))
(*.f64 3 (*.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(*.f64 1/3 (*.f64 3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(pow.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) 1/2)
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(pow.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3) 1/3)
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 3)
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(pow.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2)
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(neg.f64 (log.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(+.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (*.f64 -2 (log.f64 x)))
(fma.f64 -2 (log.f64 x) (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(neg.f64 (log.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))) (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)))))
(-.f64 (log.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (log.f64 (-.f64 (*.f64 (+.f64 (-.f64 1 (*.f64 x x)) 1) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x)))))
(-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1) (pow.f64 x -3))) (log.f64 (fma.f64 (+.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 x -2) (/.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 x x)))))
(-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1) (pow.f64 x -3))) (log.f64 (-.f64 (*.f64 (pow.f64 x -2) (-.f64 2 (*.f64 x x))) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 x -2)))))
(neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))) (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(+.f64 (log.f64 (*.f64 (+.f64 (+.f64 -1 (*.f64 x x)) 1) (pow.f64 x -2))) (log.f64 (/.f64 x (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (log.f64 (*.f64 (+.f64 (fma.f64 x x -1) 1) (pow.f64 x -2))) (log.f64 (/.f64 x (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(sqrt.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(expm1.f64 (log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(log1p.f64 (fma.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) -1))
(log1p.f64 (fma.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1))
(log1p.f64 (+.f64 -1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(exp.f64 (log.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(exp.f64 (*.f64 (log.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))

eval103.0ms (2.8%)

Compiler

Compiled 4100 to 2842 computations (30.7% saved)

prune26.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1933196
Fresh000
Picked011
Done000
Total1934197
Error
0b
Counts
197 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.9b
(-.f64 (log.f64 2) (log.f64 x))
0.3b
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) x)))
0.0b
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
0.7b
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
Compiler

Compiled 44 to 33 computations (25% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
Compiler

Compiled 21 to 15 computations (28.6% saved)

series44.0ms (1.2%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
24.0ms
x
@0
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
14.0ms
x
@-inf
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
6.0ms
x
@inf
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))

rewrite40.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
572×pow1_binary64
539×add-log-exp_binary64
538×log1p-expm1-u_binary64
538×expm1-log1p-u_binary64
529×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069
11276
217996
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (/.f64 0 0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (*.f64 2 (pow.f64 x -3))) (log.f64 (+.f64 (pow.f64 x -2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 0) (log.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 x x)) (log.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 0 0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 0 0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 0 0) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 0 0))))))))

simplify9.0ms (0.3%)

Algorithm
egg-herbie
Rules
sqr-pow_binary64
sub-neg_binary64
+-commutative_binary64
*-commutative_binary64
unpow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065169
1139169
Stop Event
unsound
Counts
33 → 29
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 0 (log.f64 (/.f64 0 0)))
(-.f64 (+.f64 1 (log.f64 (/.f64 0 0))) 1)
(-.f64 (log.f64 (*.f64 2 (pow.f64 x -3))) (log.f64 (+.f64 (pow.f64 x -2) 0)))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (log.f64 (+.f64 x x)) (log.f64 (*.f64 x x)))
(*.f64 1 (log.f64 (/.f64 0 0)))
(*.f64 (log.f64 (/.f64 0 0)) 1)
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
(log1p.f64 (-.f64 (/.f64 0 0) 1))
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
0
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 0 (log.f64 (/.f64 0 0)))
0
(-.f64 (+.f64 1 (log.f64 (/.f64 0 0))) 1)
0
(-.f64 (log.f64 (*.f64 2 (pow.f64 x -3))) (log.f64 (+.f64 (pow.f64 x -2) 0)))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x -3))) (log.f64 (pow.f64 x -2)))
(-.f64 (log.f64 0) (log.f64 0))
0
(-.f64 (log.f64 (+.f64 x x)) (log.f64 (*.f64 x x)))
(*.f64 1 (log.f64 (/.f64 0 0)))
0
(*.f64 (log.f64 (/.f64 0 0)) 1)
0
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
0
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))
0
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
0
(pow.f64 (log.f64 (/.f64 0 0)) 1)
0
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
0
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
0
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
0
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
(sqrt.f64 0)
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
0
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
0
(log1p.f64 (-.f64 (/.f64 0 0) 1))
(log1p.f64 0)
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
0

localize20.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 1 x) (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) x))
0.0b
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) x)))
0.0b
(/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) x)
0.0b
(*.f64 -1/2 (*.f64 x x))
Compiler

Compiled 58 to 34 computations (41.4% saved)

series5.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) x)))
1.0ms
x
@-inf
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) x)))
1.0ms
x
@inf
(/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) x)
1.0ms
x
@0
(*.f64 -1/2 (*.f64 x x))
0.0ms
x
@inf
(*.f64 -1/2 (*.f64 x x))

rewrite108.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
595×fma-def_binary64
571×log-prod_binary64
306×pow2_binary64
258×fma-neg_binary64
209×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01160
124554
2357552
Stop Event
node limit
Counts
4 → 227
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 x x))
(/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) x)
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) x)))
(+.f64 (/.f64 1 x) (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) x))
Outputs
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simplify120.0ms (3.3%)

Algorithm
egg-herbie
Rules
602×unswap-sqr_binary64
318×sqr-pow_binary64
278×log-prod_binary64
218×sub-neg_binary64
215×div-sub_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05485992
113605541
242765390
Stop Event
node limit
Counts
275 → 381
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (*.f64 -1/192 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 64/3 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 64/3 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(/.f64 2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 0 (*.f64 -1/2 (*.f64 x x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))
(-.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1)
(pow.f64 (*.f64 -1/2 (*.f64 x x)) 1)
(pow.f64 (*.f64 1/4 (pow.f64 x 4)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) 3)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(pow.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)) 1/3)
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x x)))))
(cbrt.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x))))
(expm1.f64 (*.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 x x))))
(exp.f64 (fma.f64 2 (log.f64 x) (log1p.f64 -3/2)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log1p.f64 -3/2)) 1))
(fma.f64 1 (fma.f64 -1/2 (*.f64 x x) 1) -1)
(fma.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1 -1)
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(/.f64 1 (/.f64 (fma.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) (-.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) (/.f64 1 x)) (pow.f64 x -2)) (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) 3))))
(/.f64 1 (/.f64 (/.f64 (-.f64 1 (fma.f64 -1/2 (*.f64 x x) 1)) x) (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) 2))))
(/.f64 (fma.f64 x (fma.f64 -1/2 (*.f64 x x) 1) x) (*.f64 x x))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) 3)) (fma.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) (-.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) (/.f64 1 x)) (pow.f64 x -2)))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) 3)) (+.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) 2) (-.f64 (pow.f64 x -2) (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) 2)) (/.f64 (-.f64 1 (fma.f64 -1/2 (*.f64 x x) 1)) x))
(/.f64 (neg.f64 (fma.f64 x (fma.f64 -1/2 (*.f64 x x) 1) x)) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) 3))) (neg.f64 (fma.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) (-.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) (/.f64 1 x)) (pow.f64 x -2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) 2))) (neg.f64 (/.f64 (-.f64 1 (fma.f64 -1/2 (*.f64 x x) 1)) x)))
(/.f64 (+.f64 x (*.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 1)) 1)) (*.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 1)) x))
(/.f64 (fma.f64 (neg.f64 (fma.f64 -1/2 (*.f64 x x) 1)) x (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 -1 x (*.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 1)) -1)) (*.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 1)) (neg.f64 x)))
(/.f64 (fma.f64 (fma.f64 -1/2 (*.f64 x x) 1) (neg.f64 x) (*.f64 x -1)) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 (neg.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (neg.f64 x) (*.f64 (neg.f64 x) -1)) (pow.f64 (neg.f64 x) 2))
(/.f64 (+.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 1)) x) (*.f64 x (/.f64 x (fma.f64 -1/2 (*.f64 x x) 1))))
(/.f64 (fma.f64 -1 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 1)) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (/.f64 x (fma.f64 -1/2 (*.f64 x x) 1))))
(/.f64 (fma.f64 -1 x (*.f64 (neg.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 -1 x (*.f64 x (neg.f64 (fma.f64 -1/2 (*.f64 x x) 1)))) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 -1 (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 (fma.f64 -1/2 (*.f64 x x) 1)))) (pow.f64 (neg.f64 x) 2))
(/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) 2) (pow.f64 x -2)) (-.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) (/.f64 1 x)))
(/.f64 (/.f64 (fma.f64 x (fma.f64 -1/2 (*.f64 x x) 1) x) x) x)
(/.f64 (/.f64 (fma.f64 x (fma.f64 -1/2 (*.f64 x x) 1) x) 1) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 x (fma.f64 -1/2 (*.f64 x x) 1) x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1)))))) (E.f64))
(/.f64 (pow.f64 (E.f64) (log.f64 (fma.f64 x (fma.f64 -1/2 (*.f64 x x) 1) x))) (pow.f64 (E.f64) (*.f64 2 (log.f64 x))))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) 2)))) (pow.f64 (E.f64) (log.f64 (/.f64 (-.f64 1 (fma.f64 -1/2 (*.f64 x x) 1)) x))))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) 3)))) (pow.f64 (E.f64) (log.f64 (fma.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) (-.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) (/.f64 1 x)) (pow.f64 x -2)))))
(pow.f64 (+.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) (/.f64 1 x)) 1)
(pow.f64 (E.f64) (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1))))
(pow.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) (/.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) (/.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) (/.f64 1 x))) 3)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x (fma.f64 -1/2 (*.f64 x x) 1) x)) x) 2)
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1))))) (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1)))) 2)) (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1)))))
(pow.f64 (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 -1/2 (*.f64 x x) 1) x)) -1)
(pow.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) (-.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) (/.f64 1 x)) (pow.f64 x -2)) (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) 3))) -1)
(pow.f64 (/.f64 (/.f64 (-.f64 1 (fma.f64 -1/2 (*.f64 x x) 1)) x) (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) 2))) -1)
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1))))) (pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1)))) 2))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1)))) 2)) (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1))))) (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1))))) 1) (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1))))) (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1))))) (cbrt.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1))))) (sqrt.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1)))))) (sqrt.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1))))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1)))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1)))) 2)) 1) (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1))))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1)))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1)))))) (cbrt.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1)))) 2))) (cbrt.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1)))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1)))))) (sqrt.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1))))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) (/.f64 1 x)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (fma.f64 -1/2 (*.f64 x x) 1))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) (/.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x))) (exp.f64 (/.f64 1 x))))
(log.f64 (*.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x)) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (exp.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x))))
(log.f64 (*.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) (/.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) (/.f64 1 x))))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1))))
(fma.f64 1 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x))
(fma.f64 (fma.f64 -1/2 (*.f64 x x) 1) (/.f64 1 x) (/.f64 1 x))
(fma.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) 1 (/.f64 1 x))
(fma.f64 (/.f64 1 x) 1 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x))
(fma.f64 (/.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1) (/.f64 1 x))
(fma.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x)) 2) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x)) 2) (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x)) (/.f64 1 x))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (/.f64 1 x)) (/.f64 1 x))
(fma.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x)) (sqrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x)) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x))
(fma.f64 (pow.f64 x -1/2) (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (sqrt.f64 x)) (/.f64 1 x))
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (/.f64 1 x)) (/.f64 1 x))
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x))
(fma.f64 (neg.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (/.f64 1 (neg.f64 x)) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) x) (/.f64 1 x))
(fma.f64 (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 1) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) x) (/.f64 1 x))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x)) (/.f64 1 x))
(fma.f64 (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (sqrt.f64 x)) (/.f64 1 x))
(fma.f64 (*.f64 (fma.f64 -1/2 (*.f64 x x) 1) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (*.f64 (fma.f64 -1/2 (*.f64 x x) 1) (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x))
Outputs
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(/.f64 1 x)
(pow.f64 x -1)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(fma.f64 -1/2 x (/.f64 1 x))
(fma.f64 -1/2 x (pow.f64 x -1))
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(fma.f64 -1/2 x (/.f64 1 x))
(fma.f64 -1/2 x (pow.f64 x -1))
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(fma.f64 -1/2 x (/.f64 1 x))
(fma.f64 -1/2 x (pow.f64 x -1))
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
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(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (/.f64 1 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x))
(/.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 2) x)
(fma.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x)) (sqrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x))
(/.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 2) x)
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x))
(+.f64 (/.f64 1 x) (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x))
(/.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 2) x)
(fma.f64 (pow.f64 x -1/2) (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (sqrt.f64 x)) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (sqrt.f64 x)) (pow.f64 x -1))
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (/.f64 1 x)) (/.f64 1 x))
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (*.f64 (/.f64 1 x) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) (/.f64 1 x))
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) x) (/.f64 1 x))
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) x) (pow.f64 x -1))
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x))
(+.f64 (/.f64 1 x) (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x))
(/.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 2) x)
(fma.f64 (neg.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (/.f64 1 (neg.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x))
(/.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x))
(+.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x) (pow.f64 (/.f64 1 (cbrt.f64 x)) 3))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (cbrt.f64 x)) (pow.f64 x -1))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) x) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x))
(/.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 2) x)
(fma.f64 (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 1) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) x) (/.f64 1 x))
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (*.f64 (/.f64 1 x) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) (/.f64 1 x))
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) x) (/.f64 1 x))
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) x) (pow.f64 x -1))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 x -1))
(fma.f64 (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (cbrt.f64 x)) (pow.f64 x -1))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (sqrt.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (sqrt.f64 x)) (sqrt.f64 x)))
(+.f64 (pow.f64 x -1) (/.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (*.f64 (fma.f64 -1/2 (*.f64 x x) 1) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 (*.f64 (fma.f64 -1/2 (*.f64 x x) 1) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x)))
(fma.f64 (fma.f64 -1/2 (*.f64 x x) 1) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)) (pow.f64 x -1))
(fma.f64 (*.f64 (fma.f64 -1/2 (*.f64 x x) 1) (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) x))
(/.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 2) x)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(-.f64 (log.f64 2) (log.f64 x))
Compiler

Compiled 12 to 8 computations (33.3% saved)

series68.0ms (1.8%)

Counts
1 → 8
Calls

3 calls:

TimeVariablePointExpression
38.0ms
x
@0
(-.f64 (log.f64 2) (log.f64 x))
24.0ms
x
@-inf
(-.f64 (log.f64 2) (log.f64 x))
5.0ms
x
@inf
(-.f64 (log.f64 2) (log.f64 x))

rewrite45.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
641×pow1_binary64
600×add-log-exp_binary64
599×log1p-expm1-u_binary64
599×expm1-log1p-u_binary64
588×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
11286
216356
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(-.f64 (log.f64 2) (log.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 (neg.f64 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x)))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 (*.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (neg.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 (log.f64 2) (neg.f64 (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (log.f64 2) (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))))))

simplify41.0ms (1.1%)

Algorithm
egg-herbie
Rules
751×div-sub_binary64
710×fma-neg_binary64
364×associate-*l*_binary64
347×associate-*r*_binary64
342×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0104421
1271396
2876396
34517396
Stop Event
node limit
Counts
43 → 40
Calls
Call 1
Inputs
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 (log.f64 x)) 1))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 2))
(*.f64 (log.f64 (/.f64 2 x)) 1)
(*.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x)))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))))
(/.f64 1 (/.f64 (log.f64 (*.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (*.f64 2 x))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (neg.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 (log.f64 2) (neg.f64 (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (log.f64 2) (neg.f64 (log.f64 x))))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(log.f64 (/.f64 2 x))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(fma.f64 1 (log.f64 2) (neg.f64 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
Outputs
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (/.f64 2 x))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (/.f64 2 x))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (/.f64 2 x))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (/.f64 2 x))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(log.f64 (/.f64 2 x))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(log.f64 (/.f64 2 x))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(log.f64 (/.f64 2 x))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 (neg.f64 (log.f64 x)) 1))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 2))
(log.f64 (/.f64 2 x))
(*.f64 (log.f64 (/.f64 2 x)) 1)
(log.f64 (/.f64 2 x))
(*.f64 1 (log.f64 (/.f64 2 x)))
(log.f64 (/.f64 2 x))
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2))
(log.f64 (/.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2)))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))))
(log.f64 (/.f64 2 x))
(*.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))))
(log.f64 (/.f64 2 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x)))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2)))
(/.f64 1 (/.f64 (log.f64 (*.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))))
(log.f64 (/.f64 2 x))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x)))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(log.f64 (/.f64 2 x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (*.f64 2 x))))
(log.f64 (/.f64 2 x))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (neg.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 (log.f64 2) (neg.f64 (log.f64 x))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (log.f64 2) (neg.f64 (log.f64 x))))
(log.f64 (/.f64 2 x))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(log.f64 (/.f64 2 x))
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(log.f64 (/.f64 2 x))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(log.f64 (/.f64 2 x))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(log.f64 (/.f64 2 x))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(log.f64 (/.f64 2 x))
(log.f64 (/.f64 2 x))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(log.f64 (/.f64 2 x))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(log1p.f64 (+.f64 (/.f64 2 x) -1))
(log1p.f64 (+.f64 -1 (/.f64 2 x)))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(fma.f64 1 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))

eval430.0ms (11.7%)

Compiler

Compiled 9111 to 5958 computations (34.6% saved)

prune63.0ms (1.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New4473450
Fresh000
Picked011
Done213
Total4495454
Error
0b
Counts
454 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.9b
(-.f64 (log.f64 2) (log.f64 x))
0.3b
(log.f64 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 2) x))
0.7b
(log.f64 (/.f64 2 x))
0.0b
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
62.0b
0
Compiler

Compiled 38 to 29 computations (23.7% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(log.f64 (/.f64 2 x))
Compiler

Compiled 10 to 7 computations (30% saved)

series13.0ms (0.4%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@0
(log.f64 (/.f64 2 x))
6.0ms
x
@-inf
(log.f64 (/.f64 2 x))
0.0ms
x
@inf
(log.f64 (/.f64 2 x))

rewrite38.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
476×pow1_binary64
465×add-sqr-sqrt_binary64
454×*-un-lft-identity_binary64
443×add-log-exp_binary64
443×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
11056
212106
Stop Event
node limit
Counts
1 → 25
Calls
Call 1
Inputs
(log.f64 (/.f64 2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (log.f64 (cbrt.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 2) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -2) (log.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log.f64 2) (log.f64 2)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 2) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 2) (log.f64 2)) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 2 x))))))))

simplify43.0ms (1.2%)

Algorithm
egg-herbie
Rules
769×fma-neg_binary64
435×log-prod_binary64
313×associate-*l*_binary64
300×associate-*r*_binary64
258×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077300
1163290
2552290
33408290
47050290
Stop Event
node limit
Counts
37 → 36
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 0 (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(-.f64 0 (log.f64 (/.f64 x 2)))
(*.f64 (log.f64 (/.f64 2 x)) 1)
(*.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log.f64 2) (log.f64 2)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (*.f64 (log.f64 2) (log.f64 2)) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 2) (log.f64 x)))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(neg.f64 (log.f64 (/.f64 x 2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 0 (log.f64 (/.f64 2 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (log.f64 (cbrt.f64 (/.f64 2 x))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 2 x))))
(*.f64 (log.f64 (cbrt.f64 (/.f64 2 x))) 3)
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 2 x))))
(-.f64 (log.f64 2) (log.f64 x))
(log.f64 (/.f64 2 x))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(log.f64 (/.f64 2 x))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(-.f64 0 (log.f64 (/.f64 x 2)))
(log.f64 (/.f64 2 x))
(*.f64 (log.f64 (/.f64 2 x)) 1)
(log.f64 (/.f64 2 x))
(*.f64 1 (log.f64 (/.f64 2 x)))
(log.f64 (/.f64 2 x))
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2))
(log.f64 (/.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log.f64 2) (log.f64 2)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 2) (log.f64 2) (*.f64 (log.f64 x) (+.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 2) (log.f64 x)) (*.f64 (log.f64 2) (log.f64 2))))
(/.f64 (-.f64 (*.f64 (log.f64 2) (log.f64 2)) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 2) (log.f64 x)))
(log.f64 (/.f64 2 x))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(log.f64 (/.f64 2 x))
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(log.f64 (/.f64 2 x))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(log.f64 (/.f64 2 x))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (/.f64 x 2)))
(log.f64 (/.f64 2 x))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(log.f64 (/.f64 2 x))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(log.f64 (/.f64 2 x))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(log1p.f64 (+.f64 (/.f64 2 x) -1))
(log1p.f64 (+.f64 -1 (/.f64 2 x)))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))

localize14.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(log.f64 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 2) x))
0.0b
(*.f64 -1/2 (*.f64 x x))
Compiler

Compiled 38 to 21 computations (44.7% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(log.f64 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 2) x))
0.0ms
x
@0
(log.f64 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 2) x))
0.0ms
x
@-inf
(log.f64 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 2) x))

rewrite62.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
450×log-prod_binary64
347×exp-prod_binary64
288×prod-exp_binary64
250×pow-prod-down_binary64
245×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
119813
2251913
Stop Event
node limit
Counts
1 → 76
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 2) x))
Outputs
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simplify55.0ms (1.5%)

Algorithm
egg-herbie
Rules
752×fma-def_binary64
292×distribute-rgt-in_binary64
271×distribute-lft-in_binary64
271×fma-neg_binary64
232×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02991704
16821653
219831633
Stop Event
node limit
Counts
88 → 154
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (*.f64 -1/192 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 64/3 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 64/3 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 0)
(+.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (neg.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (log.f64 (/.f64 1 (neg.f64 x))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))))
(+.f64 0 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 2) 2))) (log.f64 (*.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (/.f64 1 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))) (log.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (log.f64 (*.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (/.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) (log.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)))
(+.f64 (fma.f64 1 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (neg.f64 (*.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (*.f64 (log.f64 x) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) 2) (cbrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (neg.f64 (*.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (*.f64 (log.f64 x) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (sqrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (neg.f64 (*.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (*.f64 (log.f64 x) 1)))
(+.f64 (fma.f64 1 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) 2) (cbrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (sqrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) -2)) (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) (cbrt.f64 x))))
(+.f64 (log.f64 (pow.f64 x -1/2)) (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) (sqrt.f64 x))))
(+.f64 (log.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 2) 2)) 1)) (log.f64 (/.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) x)))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 1)) (log.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) x)))
(+.f64 (log.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 2) 2)) (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (pow.f64 (cbrt.f64 x) 2))) (log.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (cbrt.f64 x))))
(+.f64 (log.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 2) 2)) (sqrt.f64 x))) (log.f64 (/.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (sqrt.f64 x))))
(-.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (log.f64 x))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))) 1)
(-.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 6) 8)) (log.f64 (*.f64 x (-.f64 (fma.f64 1/4 (pow.f64 x 4) 4) (*.f64 (*.f64 x x) -1)))))
(-.f64 (log.f64 (neg.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (log.f64 (neg.f64 x)))
(-.f64 0 (log.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2))))
(-.f64 0 (log.f64 (/.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2)) 1)))
(-.f64 (log.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 2) 2))) (log.f64 (/.f64 x (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)))))
(-.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (log.f64 (/.f64 x (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)))))
(-.f64 (log.f64 (fma.f64 1/4 (pow.f64 x 4) -4)) (log.f64 (*.f64 x (fma.f64 -1/2 (*.f64 x x) -2))))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2)))))
(-.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 (log.f64 (neg.f64 (neg.f64 (fma.f64 -1/2 (*.f64 x x) 2)))) (log.f64 (neg.f64 (neg.f64 x))))
(-.f64 (log.f64 (*.f64 (fma.f64 -1/8 (pow.f64 x 6) 8) 1)) (log.f64 (*.f64 (-.f64 (fma.f64 1/4 (pow.f64 x 4) 4) (*.f64 (*.f64 x x) -1)) x)))
(-.f64 (log.f64 (*.f64 (fma.f64 1/4 (pow.f64 x 4) -4) 1)) (log.f64 (*.f64 (fma.f64 -1/2 (*.f64 x x) -2) x)))
(-.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) 1)) (log.f64 x))
(-.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(-.f64 (log.f64 (*.f64 (fma.f64 -1/8 (pow.f64 x 6) 8) (/.f64 1 x))) (log.f64 (-.f64 (fma.f64 1/4 (pow.f64 x 4) 4) (*.f64 (*.f64 x x) -1))))
(-.f64 (log.f64 (*.f64 (fma.f64 1/4 (pow.f64 x 4) -4) (/.f64 1 x))) (log.f64 (fma.f64 -1/2 (*.f64 x x) -2)))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(*.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 1)
(*.f64 1 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) 2) (cbrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) (sqrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(*.f64 -1 (log.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2))))
(*.f64 1/3 (log.f64 (pow.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2)) -3)))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(pow.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 1)
(pow.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) 3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))) 2)) (cbrt.f64 (log.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))) (sqrt.f64 (log.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))))
(neg.f64 (log.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2))))
(neg.f64 (log.f64 (/.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2)) 1)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(log1p.f64 (-.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x) 1))
(exp.f64 (log.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) 1) 1))
(fma.f64 1 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (neg.f64 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) 2) (cbrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (sqrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (neg.f64 (log.f64 x)))
Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(-.f64 (+.f64 (log.f64 2) (*.f64 x (*.f64 x -1/4))) (log.f64 x))
(fma.f64 x (*.f64 x -1/4) (-.f64 (log.f64 2) (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/32 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1/4 (*.f64 x x) (*.f64 -1/32 (pow.f64 x 4))) (log.f64 x)))
(+.f64 (log.f64 2) (-.f64 (fma.f64 x (*.f64 x -1/4) (*.f64 -1/32 (pow.f64 x 4))) (log.f64 x)))
(+.f64 (*.f64 -1/192 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x))))))
(fma.f64 -1/192 (pow.f64 x 6) (+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/32 (pow.f64 x 4) (neg.f64 (log.f64 x))))))
(+.f64 (-.f64 (fma.f64 -1/4 (*.f64 x x) (*.f64 -1/32 (pow.f64 x 4))) (log.f64 x)) (fma.f64 -1/192 (pow.f64 x 6) (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 6) (-.f64 (fma.f64 x (*.f64 x -1/4) (*.f64 -1/32 (pow.f64 x 4))) (log.f64 x))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 x) (log.f64 -1/2))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 4 (*.f64 x x))))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1/2) (/.f64 -4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4))))
(+.f64 (log.f64 x) (-.f64 (log.f64 -1/2) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4)))))
(+.f64 (+.f64 (log.f64 x) (log.f64 -1/2)) (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -8 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 64/3 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 64/3 (pow.f64 x 6))))))
(+.f64 (log.f64 -1/2) (-.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4))) (/.f64 64/3 (pow.f64 x 6)))))
(+.f64 (log.f64 x) (-.f64 (+.f64 (log.f64 -1/2) (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -8 (pow.f64 x 4)))) (/.f64 64/3 (pow.f64 x 6))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 1/2) (log.f64 (neg.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 -4 (*.f64 x x)))
(+.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 1/2) (/.f64 -4 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4))))
(-.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (neg.f64 x)) (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -8 (pow.f64 x 4)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 64/3 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 8 (pow.f64 x 4))) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 64/3 (pow.f64 x 6))))
(-.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4))) (/.f64 64/3 (pow.f64 x 6))))
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (+.f64 (log.f64 1/2) (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -8 (pow.f64 x 4)))) (/.f64 64/3 (pow.f64 x 6))))
(+.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 0)
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(log.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 2) x))
(+.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(log.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 2) x))
(+.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(log.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 2) x))
(+.f64 (log.f64 (neg.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (log.f64 (/.f64 1 (neg.f64 x))))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(log.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 2) x))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))))
(*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) 3)
(*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 2) x))) 3)
(+.f64 0 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(log.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 2) x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 2) 2))) (log.f64 (*.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (/.f64 1 x))))
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(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 x (fma.f64 -1/2 (*.f64 x x) 2))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 (*.f64 x x) -1/2 2)) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -1/2 2))) (pow.f64 (log.f64 (fma.f64 (*.f64 x x) -1/2 2)) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 x (fma.f64 -1/2 (*.f64 x x) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 (*.f64 x x) -1/2 2)) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -1/2 2))))
(pow.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 1)
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(log.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 2) x))
(pow.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 2) 1/2)
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(log.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 2) x))
(pow.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 3) 1/3)
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(log.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 2) x))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) 3)
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(log.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 2) x))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) 2)
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(log.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 2) x))
(pow.f64 (exp.f64 1) (log.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(log.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 2) x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))) 2)) (cbrt.f64 (log.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 2) x)))) 2)) (cbrt.f64 (log.f64 (log.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 2) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))) (sqrt.f64 (log.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 2) x))))) (sqrt.f64 (log.f64 (log.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 2) x)))))
(neg.f64 (log.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2))))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(log.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 2) x))
(neg.f64 (log.f64 (/.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2)) 1)))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(log.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 2) x))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 2))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(log.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 2) x))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 3))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(log.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 2) x))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(log.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 2) x))
(log1p.f64 (-.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x) 1))
(log1p.f64 (+.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x) -1))
(log1p.f64 (+.f64 -1 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(log1p.f64 (+.f64 -1 (/.f64 (fma.f64 (*.f64 x x) -1/2 2) x)))
(exp.f64 (log.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(log.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 2) x))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) 1))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(log.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 2) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 3)) 1/3))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(log.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 2) x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))) 3))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(log.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 2) x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))) 2))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(log.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 2) x))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) 1) 1))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(log.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 2) x))
(fma.f64 1 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(log.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 2) x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) 2) (cbrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(log.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 2) x))
(fma.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (sqrt.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) 2))) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(log.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 2) x))

eval296.0ms (8.1%)

Compiler

Compiled 3733 to 2540 computations (32% saved)

prune251.0ms (6.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2271228
Fresh011
Picked011
Done123
Total2285233
Error
0b
Counts
233 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.7b
(neg.f64 (log.f64 (/.f64 x 2)))
0.3b
(log.f64 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 2) x))
0.7b
(log.f64 (/.f64 2 x))
0.0b
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
62.0b
0
Compiler

Compiled 38 to 29 computations (23.7% saved)

localize8.0ms (0.2%)

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done033
Total055
Error
0b
Counts
5 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.7b
(neg.f64 (log.f64 (/.f64 x 2)))
0.3b
(log.f64 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 2) x))
0.7b
(log.f64 (/.f64 2 x))
0.0b
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
62.0b
0
Compiler

Compiled 38 to 29 computations (23.7% saved)

regimes35.0ms (1%)

Counts
8 → 1
Calls
Call 1
Inputs
0
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (/.f64 x 2)))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
(log.f64 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 2) x))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) x)))
(-.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Calls

3 calls:

24.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
5.0ms
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
5.0ms
x
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
0.0b1(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
Compiler

Compiled 90 to 63 computations (30% saved)

regimes7.0ms (0.2%)

Counts
7 → 1
Calls
Call 1
Inputs
0
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (/.f64 x 2)))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
(log.f64 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 2) x))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) x)))
(-.f64 (log.f64 2) (log.f64 x))
Outputs
(log.f64 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 2) x))
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
0.3b1x
Compiler

Compiled 50 to 36 computations (28% saved)

regimes4.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
0
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (/.f64 x 2)))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
Outputs
(neg.f64 (log.f64 (/.f64 x 2)))
Calls

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
0.7b1x
Compiler

Compiled 21 to 16 computations (23.8% saved)

regimes3.0ms (0.1%)

Accuracy

Total -61.3b remaining (-9282%)

Threshold costs -61.3b (-9282%)

Counts
2 → 1
Calls
Call 1
Inputs
0
(log.f64 (/.f64 2 x))
Outputs
(log.f64 (/.f64 2 x))
Calls

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
0.7b1x
Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02250
13450
24250
34750
44950
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 2) x))
(neg.f64 (log.f64 (/.f64 x 2)))
(log.f64 (/.f64 2 x))
0
Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 2) x))
(log.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) 2) x))
(neg.f64 (log.f64 (/.f64 x 2)))
(log.f64 (/.f64 2 x))
0
Compiler

Compiled 38 to 29 computations (23.7% saved)

soundness0.0ms (0%)

end46.0ms (1.2%)

Compiler

Compiled 34 to 24 computations (29.4% saved)

Profiling

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