Details

Time bar (total: 3.5s)

analyze116.0ms (3.3%)

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

Compiled 11 to 8 computations (27.3% saved)

sample2.0s (55.3%)

Results
1.1s8256×body256valid
744.0ms7296×body256infinite
113.0ms1080×body256invalid
Bogosity

preprocess119.0ms (3.4%)

Algorithm
2×egg-herbie
Rules
864×fma-neg_binary64
682×unsub-neg_binary64
430×distribute-neg-in_binary64
420×sub-neg_binary64
353×distribute-rgt-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11812
22212
33712
47612
515212
635912
775612
8254312
9449112
10583612
11657212
12687612
13707312
14720512
15754912
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Outputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify108.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
864×fma-neg_binary64
682×unsub-neg_binary64
430×distribute-neg-in_binary64
420×sub-neg_binary64
353×distribute-rgt-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11812
22212
33712
47612
515212
635912
775612
8254312
9449112
10583612
11657212
12687612
13707312
14720512
15754912
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Outputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))

eval1.0ms (0%)

Compiler

Compiled 18 to 12 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
32.3b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶32.3b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Compiler

Compiled 10 to 7 computations (30% saved)

localize12.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓0.0b
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
✓30.0b
(sqrt.f64 (-.f64 (*.f64 x x) 1))
Compiler

Compiled 34 to 17 computations (50% saved)

series15.0ms (0.4%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
10.0ms
x
@inf
(sqrt.f64 (-.f64 (*.f64 x x) 1))
1.0ms
x
@0
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
1.0ms
x
@-inf
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
1.0ms
x
@0
(sqrt.f64 (-.f64 (*.f64 x x) 1))
1.0ms
x
@inf
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

rewrite53.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
889×pow1_binary64
833×add-log-exp_binary64
831×log1p-expm1-u_binary64
831×expm1-log1p-u_binary64
814×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0829
117629
2245329
Stop Event
1×node limit
Counts
3 → 80
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 x x) 1))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x -1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (/.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (+.f64 (fma.f64 x x -1) (-.f64 (*.f64 x x) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (neg.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))))

simplify55.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
831×fma-def_binary64
448×unswap-sqr_binary64
400×times-frac_binary64
261×associate-/l*_binary64
249×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02792059
16711874
221701668
Stop Event
1×node limit
Counts
116 → 200
Calls
Call 1
Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) x)
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x)))
(*.f64 2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(/.f64 1/2 x)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))))
(+.f64 (*.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(-.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2))
(*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x 1)))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(-.f64 (+.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (/.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (+.f64 (fma.f64 x x -1) (-.f64 (*.f64 x x) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (neg.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
Outputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1))))
(fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (sqrt.f64 -1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))))
(fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (sqrt.f64 -1)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
(+.f64 (sqrt.f64 -1) (+.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (/.f64 (*.f64 1/16 (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 -1))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (/.f64 1/2 x))
(+.f64 x (/.f64 -1/2 x))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(-.f64 (+.f64 x (/.f64 -1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 -1/2 x) (+.f64 x (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(-.f64 x (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5)))))
(-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 x (+.f64 (/.f64 -1/2 x) (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 -1/16 (pow.f64 x 5)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 1/2 x))
(-.f64 (/.f64 1/2 x) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 x)))
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 x))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x)))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) x)
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) x))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x)))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) x)))
(+.f64 (sqrt.f64 -1) (+.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) x) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (sqrt.f64 -1))) x)
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 -1/2 x) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (*.f64 x 2) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5)))))
(-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 -1/16 (pow.f64 x 5))))
(/.f64 1/2 x)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 5/128 (pow.f64 x 7)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 5/128 (pow.f64 x 7)))))
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 5/128 (pow.f64 x 7)) (/.f64 1/16 (pow.f64 x 5))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 x (sqrt.f64 -1)) (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))))
(+.f64 (*.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))))
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(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(+.f64 1 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 1 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(+.f64 1 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 1 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 1 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 1 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(+.f64 1 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(+.f64 1 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 1 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 1 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(+.f64 1 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))

eval104.0ms (3%)

Compiler

Compiled 3164 to 2349 computations (25.8% saved)

prune54.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1973200
Fresh000
Picked011
Done000
Total1974201
Error
0b
Counts
201 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.4b
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
▶0.2b
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓32.3b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶0.6b
(log.f64 (+.f64 x x))
Compiler

Compiled 36 to 26 computations (27.8% saved)

localize5.0ms (0.1%)

Compiler

Compiled 9 to 3 computations (66.7% saved)

localize12.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiled 25 to 18 computations (28% saved)

series2.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite45.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
893×pow1_binary64
835×add-log-exp_binary64
834×log1p-expm1-u_binary64
834×expm1-log1p-u_binary64
820×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0812
117810
2233510
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x 2) 3) (/.f64 1/8 (pow.f64 x 3)))) (log.f64 (+.f64 (pow.f64 (*.f64 x 2) 2) (*.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x 2) 2) (pow.f64 (/.f64 1/2 x) 2))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))))))

simplify45.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
562×fma-neg_binary64
422×cancel-sign-sub-inv_binary64
354×fma-def_binary64
326×sub-neg_binary64
322×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0119564
1292528
2935523
34280518
Stop Event
1×node limit
Counts
32 → 80
Calls
Call 1
Inputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (*.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 0 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(-.f64 (+.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1)
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x 2) 3) (/.f64 1/8 (pow.f64 x 3)))) (log.f64 (+.f64 (pow.f64 (*.f64 x 2) 2) (*.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 1/2 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x 2) 2) (pow.f64 (/.f64 1/2 x) 2))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(*.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(*.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log1p.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1))
(exp.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
Outputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 -1/2) (log.f64 x))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (*.f64 x x) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 -1/2) (-.f64 (*.f64 x (*.f64 x -4)) (log.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -4) (log.f64 -1/2)) (log.f64 x))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (*.f64 x x) (fma.f64 -8 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (-.f64 (fma.f64 -4 (*.f64 x x) (*.f64 -8 (pow.f64 x 4))) (log.f64 x)))
(+.f64 (log.f64 -1/2) (-.f64 (fma.f64 x (*.f64 x -4) (*.f64 -8 (pow.f64 x 4))) (log.f64 x)))
(fma.f64 x (*.f64 x -4) (fma.f64 -8 (pow.f64 x 4) (-.f64 (log.f64 -1/2) (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (*.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (*.f64 x x) (fma.f64 -8 (pow.f64 x 4) (fma.f64 -64/3 (pow.f64 x 6) (neg.f64 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (*.f64 x x) (-.f64 (fma.f64 -8 (pow.f64 x 4) (*.f64 -64/3 (pow.f64 x 6))) (log.f64 x))))
(+.f64 (log.f64 -1/2) (fma.f64 x (*.f64 x -4) (fma.f64 -8 (pow.f64 x 4) (fma.f64 -64/3 (pow.f64 x 6) (neg.f64 (log.f64 x))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 (log.f64 x) (log.f64 2))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4))))
(+.f64 (log.f64 x) (-.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (/.f64 1/32 (pow.f64 x 4))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6))))
(-.f64 (+.f64 (log.f64 x) (log.f64 2)) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))))
(-.f64 (+.f64 (log.f64 x) (+.f64 (log.f64 2) (/.f64 -1/4 (*.f64 x x)))) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (/.f64 1/192 (pow.f64 x 6))))
(+.f64 (+.f64 (log.f64 2) (-.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4)))) (+.f64 (log.f64 x) (/.f64 -1/192 (pow.f64 x 6))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 -1/4 (*.f64 x x)))
(+.f64 (log.f64 -2) (-.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4))))
(+.f64 (-.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 1/32 (pow.f64 x 4))) (/.f64 -1/4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4))))
(+.f64 (log.f64 -2) (+.f64 (-.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x))) (/.f64 -1/32 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (/.f64 1/32 (pow.f64 x 4))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6))))
(-.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))))
(-.f64 (-.f64 (log.f64 -2) (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (/.f64 1/192 (pow.f64 x 6))))) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -2) (+.f64 (-.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 -1/32 (pow.f64 x 4)) (/.f64 -1/192 (pow.f64 x 6)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)
(+.f64 0 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(-.f64 (+.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x 2) 3) (/.f64 1/8 (pow.f64 x 3)))) (log.f64 (+.f64 (pow.f64 (*.f64 x 2) 2) (*.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 1/2 x))))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x 3) 8 (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 1/2 x)) (*.f64 (*.f64 x x) 4))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x 3) 8 (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (fma.f64 x (*.f64 x 4) (/.f64 (+.f64 (/.f64 1/4 x) (*.f64 x 1)) x))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x 3) 8 (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (fma.f64 x (*.f64 x 4) (/.f64 (+.f64 x (/.f64 1/4 x)) x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x 2) 2) (pow.f64 (/.f64 1/2 x) 2))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 x x) 4) (pow.f64 (/.f64 1/2 x) 2))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 x (*.f64 x 4) (/.f64 -1/4 (*.f64 x x)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(*.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3) 1/3)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(log1p.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1))
(log1p.f64 (+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) -1))
(log1p.f64 (+.f64 -1 (fma.f64 x 2 (/.f64 -1/2 x))))
(exp.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))

localize15.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
✓0.2b
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
✓1.2b
(/.f64 1/4 (*.f64 x x))
Compiler

Compiled 35 to 18 computations (48.6% saved)

series19.0ms (0.6%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
7.0ms
x
@0
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
5.0ms
x
@-inf
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
4.0ms
x
@inf
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
1.0ms
x
@0
(/.f64 1/4 (*.f64 x x))
0.0ms
x
@inf
(/.f64 1/4 (*.f64 x x))

rewrite104.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
480×log-prod_binary64
401×fma-def_binary64
327×pow-prod-down_binary64
287×pow2_binary64
205×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01036
122834
2317532
Stop Event
1×node limit
Counts
3 → 210
Calls
Call 1
Inputs
(/.f64 1/4 (*.f64 x x))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/4 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (pow.f64 (/.f64 1/2 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 1/2 x) 4)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/2 x) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/2 x) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 x x) 4) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1/2 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/2 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 1/2 x) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) 4)) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 x) (fma.f64 1/4 (pow.f64 x -2) (log.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (*.f64 x 2)) (*.f64 1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 1/4 (pow.f64 x -2)))) (/.f64 (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) 2) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 1/4 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 -1/4 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 1/2 x) 4))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (log.f64 x))))))

simplify106.0ms (3%)

Algorithm
1×egg-herbie
Rules
471×unswap-sqr_binary64
395×cancel-sign-sub-inv_binary64
356×fma-neg_binary64
328×associate-/l*_binary64
176×sqr-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04374443
110454140
230194123
Stop Event
1×node limit
Counts
246 → 271
Calls
Call 1
Inputs
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(-.f64 (+.f64 (log.f64 2) (log.f64 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (log.f64 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (log.f64 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(/.f64 -1/4 (pow.f64 x 2))
(-.f64 (log.f64 x) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 x) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 x) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 0 (*.f64 1/4 (pow.f64 x -2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 x -2)))) 1)
(*.f64 1/4 (pow.f64 x -2))
(*.f64 (*.f64 1/4 (pow.f64 x -2)) 1)
(*.f64 1 (*.f64 1/4 (pow.f64 x -2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (pow.f64 (/.f64 1/2 x) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1/2 x) 4)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))
(*.f64 (/.f64 1/2 x) (/.f64 1/2 x))
(*.f64 -1/4 (/.f64 1 (*.f64 x (neg.f64 x))))
(*.f64 (pow.f64 x -2) 1/4)
(*.f64 (/.f64 1/4 x) (/.f64 1 x))
(pow.f64 (*.f64 1/4 (pow.f64 x -2)) 1)
(pow.f64 (pow.f64 (/.f64 1/2 x) 4) 1/2)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) 3)
(pow.f64 (/.f64 1/2 x) 2)
(pow.f64 (pow.f64 (/.f64 1/2 x) 6) 1/3)
(pow.f64 (*.f64 (*.f64 x x) 4) -1)
(pow.f64 (/.f64 (*.f64 (*.f64 x x) 4) 1) -1)
(sqrt.f64 (pow.f64 (/.f64 1/2 x) 4))
(log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (/.f64 1/2 x) 6))
(expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 x -2))))
(exp.f64 (*.f64 2 (log.f64 (/.f64 1/2 x))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 1/2 x))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)) 3))
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 1/2 x) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) 4)) -1))
(-.f64 (log.f64 x) (fma.f64 1/4 (pow.f64 x -2) (log.f64 1/2)))
(-.f64 (log.f64 (*.f64 x 2)) (*.f64 1/4 (pow.f64 x -2)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 1/4 (pow.f64 x -2)))) (/.f64 (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) 2) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 1/4 (pow.f64 x -2)))))
(*.f64 (+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))) 1)
(*.f64 1 (+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))))
(*.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)))) 2) (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)))) (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) 3)) (/.f64 1 (fma.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) (-.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) (log.f64 2)) (pow.f64 (log.f64 2) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) 2)) (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) (*.f64 1/4 (pow.f64 x -2)))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) (-.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) (log.f64 2)) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 (/.f64 2 x)) (*.f64 1/4 (pow.f64 x -2))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) 3)) (fma.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) (-.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) 3)) (+.f64 (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) 2)) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 1/4 (pow.f64 x -2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) 3))) (neg.f64 (fma.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) (-.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) (log.f64 2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) 2))) (neg.f64 (+.f64 (log.f64 (/.f64 2 x)) (*.f64 1/4 (pow.f64 x -2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 x 2)) 3) (pow.f64 (/.f64 1/2 x) 6)) (+.f64 (pow.f64 (log.f64 (*.f64 x 2)) 2) (fma.f64 1/16 (pow.f64 x -4) (*.f64 (log.f64 (*.f64 x 2)) (*.f64 1/4 (pow.f64 x -2))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 x 2)) 2) (pow.f64 (/.f64 1/2 x) 4)) (+.f64 (log.f64 (*.f64 x 2)) (*.f64 1/4 (pow.f64 x -2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) (log.f64 2)))
(pow.f64 (+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))) 1)
(pow.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)))) 3)
(pow.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)))) 2)
(pow.f64 (/.f64 (fma.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) (-.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) (log.f64 2)) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) 3))) -1)
(pow.f64 (/.f64 (+.f64 (log.f64 (/.f64 2 x)) (*.f64 1/4 (pow.f64 x -2))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))) 2))
(log.f64 (*.f64 2 (*.f64 x (exp.f64 (*.f64 -1/4 (pow.f64 x -2))))))
(log.f64 (+.f64 1 (fma.f64 2 (*.f64 x (exp.f64 (*.f64 -1/4 (pow.f64 x -2)))) -1)))
(log.f64 (/.f64 (*.f64 2 x) (pow.f64 (exp.f64 1/4) (pow.f64 x -2))))
(log.f64 (/.f64 (exp.f64 (log.f64 (*.f64 x 2))) (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 x -2))))))
(log.f64 (/.f64 (*.f64 2 x) (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 x -2))))))
(log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)))) 2))
(log.f64 (*.f64 (exp.f64 (log.f64 (*.f64 x 2))) (exp.f64 (*.f64 -1/4 (pow.f64 x -2)))))
(log.f64 (*.f64 (*.f64 2 x) (exp.f64 (*.f64 -1/4 (pow.f64 x -2)))))
(log.f64 (*.f64 (exp.f64 (log.f64 (*.f64 x 2))) (pow.f64 (exp.f64 1/4) (neg.f64 (pow.f64 x -2)))))
(log.f64 (*.f64 (*.f64 2 x) (pow.f64 (exp.f64 1/4) (neg.f64 (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)))))
(log1p.f64 (fma.f64 2 (*.f64 x (exp.f64 (*.f64 -1/4 (pow.f64 x -2)))) -1))
(exp.f64 (log.f64 (+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))))) 2))
(fma.f64 (log.f64 2) 1 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)))
(fma.f64 (log.f64 x) 1 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 2)))
(fma.f64 (log.f64 x) 1 (neg.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 1/2))))
(fma.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) 1 (log.f64 2))
(fma.f64 1 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)))
(fma.f64 1 (log.f64 x) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 2)))
(fma.f64 1 (log.f64 x) (neg.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 1/2))))
(fma.f64 1 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) (log.f64 2))
(fma.f64 1 (log.f64 (*.f64 x 2)) (*.f64 -1/4 (pow.f64 x -2)))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 2)))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (neg.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 2)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 1/2))))
(fma.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))) 2) (log.f64 2))
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(fma.f64 (neg.f64 (/.f64 1/2 x)) (/.f64 1/2 x) (log.f64 x))
(fma.f64 -1 (*.f64 1/4 (pow.f64 x -2)) (log.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 x)) (/.f64 1/2 x)) (-.f64 (sqrt.f64 (log.f64 x)) (/.f64 1/2 x)) (fma.f64 (neg.f64 (pow.f64 x -2)) 1/4 (*.f64 1/4 (pow.f64 x -2))))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 x)) (/.f64 1/2 x)) (-.f64 (sqrt.f64 (log.f64 x)) (/.f64 1/2 x)) (fma.f64 (*.f64 -1/4 (pow.f64 x -2)) 1 (*.f64 1/4 (pow.f64 x -2))))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 x)) (/.f64 1/2 x)) (-.f64 (sqrt.f64 (log.f64 x)) (/.f64 1/2 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)) (cbrt.f64 (pow.f64 (/.f64 1/2 x) 4)) (*.f64 1/4 (pow.f64 x -2))))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 x)) (/.f64 1/2 x)) (-.f64 (sqrt.f64 (log.f64 x)) (/.f64 1/2 x)) (+.f64 (*.f64 -1/4 (pow.f64 x -2)) (*.f64 1/4 (pow.f64 x -2))))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 1/2 x) 4))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (log.f64 x))
Outputs
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x -2))
(-.f64 (+.f64 (log.f64 2) (log.f64 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 (*.f64 x 2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)))
(-.f64 (+.f64 (log.f64 2) (log.f64 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 (*.f64 x 2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)))
(-.f64 (+.f64 (log.f64 2) (log.f64 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 (*.f64 x 2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(log.f64 (*.f64 x 2))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 (*.f64 x 2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 (*.f64 x 2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 (*.f64 x 2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (log.f64 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 2) (log.f64 -1))) (/.f64 1/4 (*.f64 x x)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 2))))
(-.f64 (+.f64 (log.f64 -1) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 2))) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 2) (log.f64 -1))) (/.f64 1/4 (*.f64 x x)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 2))))
(-.f64 (+.f64 (log.f64 -1) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 2))) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 2) (log.f64 -1))) (/.f64 1/4 (*.f64 x x)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 2))))
(-.f64 (+.f64 (log.f64 -1) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 2))) (log.f64 (/.f64 -1 x)))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x -2))
(-.f64 (log.f64 x) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))
(-.f64 (log.f64 x) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))
(-.f64 (log.f64 x) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 -1/4 (pow.f64 x -2)))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 -1/4 (pow.f64 x -2)))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 -1/4 (pow.f64 x -2)))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (/.f64 -1/4 (*.f64 x x)))
(+.f64 0 (*.f64 1/4 (pow.f64 x -2)))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 x -2)))) 1)
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (*.f64 x x))
(*.f64 (*.f64 1/4 (pow.f64 x -2)) 1)
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(*.f64 1 (*.f64 1/4 (pow.f64 x -2)))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (pow.f64 (/.f64 1/2 x) 4)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/16 (pow.f64 x -4))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1/2 x) 4)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (pow.f64 (/.f64 1/2 x) 4)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/16 (pow.f64 x -4))))
(*.f64 (/.f64 1/2 x) (/.f64 1/2 x))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(*.f64 -1/4 (/.f64 1 (*.f64 x (neg.f64 x))))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(*.f64 (pow.f64 x -2) 1/4)
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(*.f64 (/.f64 1/4 x) (/.f64 1 x))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(pow.f64 (*.f64 1/4 (pow.f64 x -2)) 1)
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(pow.f64 (pow.f64 (/.f64 1/2 x) 4) 1/2)
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) 3)
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(pow.f64 (/.f64 1/2 x) 2)
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(pow.f64 (pow.f64 (/.f64 1/2 x) 6) 1/3)
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(pow.f64 (*.f64 (*.f64 x x) 4) -1)
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(pow.f64 (/.f64 (*.f64 (*.f64 x x) 4) 1) -1)
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(sqrt.f64 (pow.f64 (/.f64 1/2 x) 4))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 x -2)))))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(cbrt.f64 (pow.f64 (/.f64 1/2 x) 6))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 x -2))))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 x -2))))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(exp.f64 (*.f64 2 (log.f64 (/.f64 1/2 x))))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 1/2 x))) 1))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)) 3))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 1/2 x) 6)) 1/3))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) 4)) -1))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(-.f64 (log.f64 x) (fma.f64 1/4 (pow.f64 x -2) (log.f64 1/2)))
(-.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) (log.f64 1/2))
(-.f64 (log.f64 (*.f64 x 2)) (*.f64 1/4 (pow.f64 x -2)))
(-.f64 (log.f64 (*.f64 x 2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))))) 1)
(-.f64 (log.f64 (*.f64 x 2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)))
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 1/4 (pow.f64 x -2)))) (/.f64 (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) 2) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 1/4 (pow.f64 x -2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) 2)) (+.f64 (*.f64 1/4 (pow.f64 x -2)) (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) 2)) (fma.f64 1/4 (pow.f64 x -2) (log.f64 (/.f64 2 x))))
(*.f64 (+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))) 1)
(-.f64 (log.f64 (*.f64 x 2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)))
(*.f64 1 (+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))))
(-.f64 (log.f64 (*.f64 x 2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)))
(*.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)))) 2))
(-.f64 (log.f64 (*.f64 x 2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)))) 2) (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)))))
(-.f64 (log.f64 (*.f64 x 2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)))
(*.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)))) (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)))))
(-.f64 (log.f64 (*.f64 x 2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)))
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(fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))) 2) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))) (fma.f64 (*.f64 -1/4 (pow.f64 x -2)) 1 (*.f64 1/4 (pow.f64 x -2))))
(-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))) 2) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)) (cbrt.f64 (pow.f64 (/.f64 1/2 x) 4)) (*.f64 1/4 (pow.f64 x -2))))
(+.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)) (cbrt.f64 (pow.f64 (/.f64 1/2 x) 4)) (*.f64 1/4 (pow.f64 x -2))))
(+.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) (-.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/16 (pow.f64 x -4))))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))) 2) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))) (+.f64 (*.f64 -1/4 (pow.f64 x -2)) (*.f64 1/4 (pow.f64 x -2))))
(-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (*.f64 -1/4 (pow.f64 x -2)))
(-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (*.f64 (*.f64 -1/4 (pow.f64 x -2)) 1))
(-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))
(fma.f64 (/.f64 1/2 x) (neg.f64 (/.f64 1/2 x)) (log.f64 x))
(-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))
(fma.f64 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) 1/4 (*.f64 1/4 (pow.f64 x -2))))
(-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))
(fma.f64 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))) (fma.f64 (*.f64 -1/4 (pow.f64 x -2)) 1 (*.f64 1/4 (pow.f64 x -2))))
(-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))
(fma.f64 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)) (cbrt.f64 (pow.f64 (/.f64 1/2 x) 4)) (*.f64 1/4 (pow.f64 x -2))))
(+.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)) (cbrt.f64 (pow.f64 (/.f64 1/2 x) 4)) (*.f64 1/4 (pow.f64 x -2))))
(+.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) (-.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/16 (pow.f64 x -4))))))
(fma.f64 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))) (+.f64 (*.f64 -1/4 (pow.f64 x -2)) (*.f64 1/4 (pow.f64 x -2))))
(-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))
(fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))
(-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (/.f64 1/2 x) 6)) (/.f64 1 (fma.f64 (*.f64 1/4 (pow.f64 x -2)) (fma.f64 1/4 (pow.f64 x -2) (log.f64 x)) (pow.f64 (log.f64 x) 2))) (fma.f64 (neg.f64 (pow.f64 x -2)) 1/4 (*.f64 1/4 (pow.f64 x -2))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 1/4 (pow.f64 x -2)) (fma.f64 1/4 (pow.f64 x -2) (log.f64 x)) (pow.f64 (log.f64 x) 2)) (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (/.f64 1/2 x) 6))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (/.f64 1/2 x) 6)) (fma.f64 (*.f64 1/4 (pow.f64 x -2)) (fma.f64 1/4 (pow.f64 x -2) (log.f64 x)) (pow.f64 (log.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (/.f64 1/2 x) 6)) (+.f64 (*.f64 1/16 (pow.f64 x -4)) (*.f64 (log.f64 x) (fma.f64 1/4 (pow.f64 x -2) (log.f64 x)))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (/.f64 1/2 x) 6)) (/.f64 1 (fma.f64 (*.f64 1/4 (pow.f64 x -2)) (fma.f64 1/4 (pow.f64 x -2) (log.f64 x)) (pow.f64 (log.f64 x) 2))) (fma.f64 (*.f64 -1/4 (pow.f64 x -2)) 1 (*.f64 1/4 (pow.f64 x -2))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 1/4 (pow.f64 x -2)) (fma.f64 1/4 (pow.f64 x -2) (log.f64 x)) (pow.f64 (log.f64 x) 2)) (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (/.f64 1/2 x) 6))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (/.f64 1/2 x) 6)) (fma.f64 (*.f64 1/4 (pow.f64 x -2)) (fma.f64 1/4 (pow.f64 x -2) (log.f64 x)) (pow.f64 (log.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (/.f64 1/2 x) 6)) (+.f64 (*.f64 1/16 (pow.f64 x -4)) (*.f64 (log.f64 x) (fma.f64 1/4 (pow.f64 x -2) (log.f64 x)))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (/.f64 1/2 x) 6)) (/.f64 1 (fma.f64 (*.f64 1/4 (pow.f64 x -2)) (fma.f64 1/4 (pow.f64 x -2) (log.f64 x)) (pow.f64 (log.f64 x) 2))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)) (cbrt.f64 (pow.f64 (/.f64 1/2 x) 4)) (*.f64 1/4 (pow.f64 x -2))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)) (cbrt.f64 (pow.f64 (/.f64 1/2 x) 4)) (*.f64 1/4 (pow.f64 x -2))) (/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (/.f64 1/2 x) 6)) (fma.f64 (*.f64 1/4 (pow.f64 x -2)) (fma.f64 1/4 (pow.f64 x -2) (log.f64 x)) (pow.f64 (log.f64 x) 2))))
(+.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/16 (pow.f64 x -4))))) (/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (/.f64 1/2 x) 6)) (+.f64 (*.f64 1/16 (pow.f64 x -4)) (*.f64 (log.f64 x) (fma.f64 1/4 (pow.f64 x -2) (log.f64 x))))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (/.f64 1/2 x) 6)) (/.f64 1 (fma.f64 (*.f64 1/4 (pow.f64 x -2)) (fma.f64 1/4 (pow.f64 x -2) (log.f64 x)) (pow.f64 (log.f64 x) 2))) (+.f64 (*.f64 -1/4 (pow.f64 x -2)) (*.f64 1/4 (pow.f64 x -2))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 1/4 (pow.f64 x -2)) (fma.f64 1/4 (pow.f64 x -2) (log.f64 x)) (pow.f64 (log.f64 x) 2)) (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (/.f64 1/2 x) 6))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (/.f64 1/2 x) 6)) (fma.f64 (*.f64 1/4 (pow.f64 x -2)) (fma.f64 1/4 (pow.f64 x -2) (log.f64 x)) (pow.f64 (log.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (/.f64 1/2 x) 6)) (+.f64 (*.f64 1/16 (pow.f64 x -4)) (*.f64 (log.f64 x) (fma.f64 1/4 (pow.f64 x -2) (log.f64 x)))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (/.f64 1/2 x) 4)) (/.f64 1 (fma.f64 1/4 (pow.f64 x -2) (log.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) 1/4 (*.f64 1/4 (pow.f64 x -2))))
(*.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (/.f64 1/2 x) 4)) (/.f64 1 (fma.f64 1/4 (pow.f64 x -2) (log.f64 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (/.f64 1/2 x) 4)) (fma.f64 1/4 (pow.f64 x -2) (log.f64 x)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 x -4) -1/16)) (fma.f64 1/4 (pow.f64 x -2) (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (/.f64 1/2 x) 4)) (/.f64 1 (fma.f64 1/4 (pow.f64 x -2) (log.f64 x))) (fma.f64 (*.f64 -1/4 (pow.f64 x -2)) 1 (*.f64 1/4 (pow.f64 x -2))))
(*.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (/.f64 1/2 x) 4)) (/.f64 1 (fma.f64 1/4 (pow.f64 x -2) (log.f64 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (/.f64 1/2 x) 4)) (fma.f64 1/4 (pow.f64 x -2) (log.f64 x)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 x -4) -1/16)) (fma.f64 1/4 (pow.f64 x -2) (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (/.f64 1/2 x) 4)) (/.f64 1 (fma.f64 1/4 (pow.f64 x -2) (log.f64 x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)) (cbrt.f64 (pow.f64 (/.f64 1/2 x) 4)) (*.f64 1/4 (pow.f64 x -2))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)) (cbrt.f64 (pow.f64 (/.f64 1/2 x) 4)) (*.f64 1/4 (pow.f64 x -2))) (/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (/.f64 1/2 x) 4)) (fma.f64 1/4 (pow.f64 x -2) (log.f64 x))))
(+.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/16 (pow.f64 x -4))))) (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 x -4) -1/16)) (fma.f64 1/4 (pow.f64 x -2) (log.f64 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (/.f64 1/2 x) 4)) (/.f64 1 (fma.f64 1/4 (pow.f64 x -2) (log.f64 x))) (+.f64 (*.f64 -1/4 (pow.f64 x -2)) (*.f64 1/4 (pow.f64 x -2))))
(*.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (/.f64 1/2 x) 4)) (/.f64 1 (fma.f64 1/4 (pow.f64 x -2) (log.f64 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (/.f64 1/2 x) 4)) (fma.f64 1/4 (pow.f64 x -2) (log.f64 x)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 x -4) -1/16)) (fma.f64 1/4 (pow.f64 x -2) (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/4 (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 -1/4 (pow.f64 x -2))) (log.f64 x))
(-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))
(fma.f64 (sqrt.f64 (*.f64 -1/4 (pow.f64 x -2))) (sqrt.f64 (*.f64 -1/4 (pow.f64 x -2))) (log.f64 x))
(-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))
(fma.f64 (neg.f64 (/.f64 1/2 x)) (/.f64 1/2 x) (log.f64 x))
(-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))
(fma.f64 -1 (*.f64 1/4 (pow.f64 x -2)) (log.f64 x))
(-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 x)) (/.f64 1/2 x)) (-.f64 (sqrt.f64 (log.f64 x)) (/.f64 1/2 x)) (fma.f64 (neg.f64 (pow.f64 x -2)) 1/4 (*.f64 1/4 (pow.f64 x -2))))
(-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 x)) (/.f64 1/2 x)) (-.f64 (sqrt.f64 (log.f64 x)) (/.f64 1/2 x)) (fma.f64 (*.f64 -1/4 (pow.f64 x -2)) 1 (*.f64 1/4 (pow.f64 x -2))))
(-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 x)) (/.f64 1/2 x)) (-.f64 (sqrt.f64 (log.f64 x)) (/.f64 1/2 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)) (cbrt.f64 (pow.f64 (/.f64 1/2 x) 4)) (*.f64 1/4 (pow.f64 x -2))))
(+.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)) (cbrt.f64 (pow.f64 (/.f64 1/2 x) 4)) (*.f64 1/4 (pow.f64 x -2))))
(+.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 x)) (-.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/16 (pow.f64 x -4))))))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 x)) (/.f64 1/2 x)) (-.f64 (sqrt.f64 (log.f64 x)) (/.f64 1/2 x)) (+.f64 (*.f64 -1/4 (pow.f64 x -2)) (*.f64 1/4 (pow.f64 x -2))))
(-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 -1/4 (pow.f64 x -2) (log.f64 x))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 1/2 x) 4))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (log.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 1/2 x) 4)) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)) (log.f64 x))
(-.f64 (log.f64 x) (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/16 (pow.f64 x -4)))))

eval154.0ms (4.4%)

Compiler

Compiled 6619 to 5033 computations (24% saved)

prune47.0ms (1.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New3492351
Fresh000
Picked101
Done033
Total3505355
Error
0b
Counts
355 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
▶62.3b
(/.f64 -1/4 (*.f64 x x))
▶0.2b
(-.f64 (log.f64 (*.f64 x 2)) (/.f64 1/4 (*.f64 x x)))
✓0.2b
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓32.3b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓0.6b
(log.f64 (+.f64 x x))
Compiler

Compiled 41 to 29 computations (29.3% saved)

localize13.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
1.2b
(/.f64 1/4 (*.f64 x x))
Compiler

Compiled 29 to 17 computations (41.4% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓1.2b
(/.f64 -1/4 (*.f64 x x))
Compiler

Compiled 11 to 5 computations (54.5% saved)

series3.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 -1/4 (*.f64 x x))
0.0ms
x
@0
(/.f64 -1/4 (*.f64 x x))
0.0ms
x
@-inf
(/.f64 -1/4 (*.f64 x x))

rewrite35.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
497×pow1_binary64
488×add-sqr-sqrt_binary64
469×add-log-exp_binary64
469×log1p-expm1-u_binary64
469×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11097
213247
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(/.f64 -1/4 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/4 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/4 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/4 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))) (cbrt.f64 (*.f64 -1/4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1/4) x) (/.f64 (sqrt.f64 -1/4) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/4 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/4 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/4 (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/4 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1/4) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) -4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/16 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/4 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/4 (pow.f64 x -2))))))))

simplify40.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
677×log-prod_binary64
548×distribute-rgt-in_binary64
530×distribute-lft-in_binary64
516×associate-/l*_binary64
387×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057233
1135233
2428233
32722233
Stop Event
1×node limit
Counts
33 → 24
Calls
Call 1
Inputs
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 -1/4 (pow.f64 x -2))) 1)
(*.f64 -1/4 (pow.f64 x -2))
(*.f64 (*.f64 -1/4 (pow.f64 x -2)) 1)
(*.f64 1 (*.f64 -1/4 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (*.f64 -1/4 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))) (cbrt.f64 (*.f64 -1/4 (pow.f64 x -2))))
(*.f64 (/.f64 (sqrt.f64 -1/4) x) (/.f64 (sqrt.f64 -1/4) x))
(*.f64 1/4 (/.f64 1 (*.f64 x (neg.f64 x))))
(*.f64 (pow.f64 x -2) -1/4)
(*.f64 (/.f64 -1/4 x) (/.f64 1 x))
(pow.f64 (*.f64 -1/4 (pow.f64 x -2)) 1)
(pow.f64 (pow.f64 (*.f64 -1/4 (pow.f64 x -2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 -1/4 (pow.f64 x -2))) 3)
(pow.f64 (/.f64 (sqrt.f64 -1/4) x) 2)
(pow.f64 (*.f64 (*.f64 x x) -4) -1)
(sqrt.f64 (/.f64 1/16 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 x -2)))
(cbrt.f64 (pow.f64 (*.f64 -1/4 (pow.f64 x -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/4 (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 -1/4 (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 -1/4 (pow.f64 x -2))))
Outputs
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x -2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x -2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x -2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x -2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x -2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x -2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x -2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x -2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x -2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x -2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x -2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x -2))
(-.f64 (+.f64 1 (*.f64 -1/4 (pow.f64 x -2))) 1)
(/.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x -2))
(*.f64 -1/4 (pow.f64 x -2))
(/.f64 -1/4 (*.f64 x x))
(*.f64 (*.f64 -1/4 (pow.f64 x -2)) 1)
(/.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x -2))
(*.f64 1 (*.f64 -1/4 (pow.f64 x -2)))
(/.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x -2))
(*.f64 (cbrt.f64 (*.f64 -1/4 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))))
(/.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x -2))
(*.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))) (cbrt.f64 (*.f64 -1/4 (pow.f64 x -2))))
(/.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x -2))
(*.f64 (/.f64 (sqrt.f64 -1/4) x) (/.f64 (sqrt.f64 -1/4) x))
(/.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x -2))
(*.f64 1/4 (/.f64 1 (*.f64 x (neg.f64 x))))
(/.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x -2))
(*.f64 (pow.f64 x -2) -1/4)
(/.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x -2))
(*.f64 (/.f64 -1/4 x) (/.f64 1 x))
(/.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x -2))
(pow.f64 (*.f64 -1/4 (pow.f64 x -2)) 1)
(/.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x -2))
(pow.f64 (pow.f64 (*.f64 -1/4 (pow.f64 x -2)) 3) 1/3)
(/.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x -2))
(pow.f64 (cbrt.f64 (*.f64 -1/4 (pow.f64 x -2))) 3)
(/.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x -2))
(pow.f64 (/.f64 (sqrt.f64 -1/4) x) 2)
(/.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x -2))
(pow.f64 (*.f64 (*.f64 x x) -4) -1)
(/.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x -2))
(sqrt.f64 (/.f64 1/16 (pow.f64 x 4)))
(sqrt.f64 (*.f64 1/16 (pow.f64 x -4)))
(log.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 x -2)))
(/.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x -2))
(cbrt.f64 (pow.f64 (*.f64 -1/4 (pow.f64 x -2)) 3))
(/.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x -2))
(expm1.f64 (log1p.f64 (*.f64 -1/4 (pow.f64 x -2))))
(/.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x -2))
(log1p.f64 (expm1.f64 (*.f64 -1/4 (pow.f64 x -2))))
(/.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x -2))
(exp.f64 (log.f64 (*.f64 -1/4 (pow.f64 x -2))))
(/.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x -2))

eval18.0ms (0.5%)

Compiler

Compiled 683 to 558 computations (18.3% saved)

prune42.0ms (1.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New60161
Fresh000
Picked011
Done044
Total60666
Error
0b
Counts
66 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓62.3b
(/.f64 -1/4 (*.f64 x x))
✓0.2b
(-.f64 (log.f64 (*.f64 x 2)) (/.f64 1/4 (*.f64 x x)))
▶62.3b
(*.f64 (/.f64 -1/4 x) (/.f64 1 x))
✓0.2b
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓32.3b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓0.6b
(log.f64 (+.f64 x x))
Compiler

Compiled 49 to 35 computations (28.6% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (/.f64 -1/4 x) (/.f64 1 x))
Compiler

Compiled 17 to 12 computations (29.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 (/.f64 -1/4 x) (/.f64 1 x))
0.0ms
x
@inf
(*.f64 (/.f64 -1/4 x) (/.f64 1 x))
0.0ms
x
@-inf
(*.f64 (/.f64 -1/4 x) (/.f64 1 x))

rewrite38.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
650×pow1_binary64
608×add-log-exp_binary64
608×log1p-expm1-u_binary64
608×expm1-log1p-u_binary64
597×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
11497
217777
Stop Event
1×node limit
Counts
1 → 38
Calls
Call 1
Inputs
(*.f64 (/.f64 -1/4 x) (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/4 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/4 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/4 (*.f64 (neg.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/4 (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/4 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 x -4) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x (*.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x x) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (/.f64 -1/4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 -1/4 x)) 2) (/.f64 x (cbrt.f64 (/.f64 -1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 -1/4 x)) (/.f64 x (sqrt.f64 (/.f64 -1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 x) (*.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (*.f64 x -4) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (*.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 -1/4 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -1/4 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -1/4 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -1/4 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/4 (/.f64 1 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 -1/4 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1/4 x) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 x) 1/4) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/4 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/4 (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/4 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1/4) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -1/4 (pow.f64 x -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 -1/4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/4 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 -1/4 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -1/4 x) 3) (/.f64 (pow.f64 x -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (/.f64 -1/4 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/4 (pow.f64 x -2))))))))

simplify42.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
762×log-prod_binary64
429×associate-*l*_binary64
418×associate-*r*_binary64
292×fma-def_binary64
290×times-frac_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101350
1234350
2724350
34574350
Stop Event
1×node limit
Counts
50 → 39
Calls
Call 1
Inputs
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 -1/4 (pow.f64 x -2))) 1)
(/.f64 -1/4 (*.f64 x x))
(/.f64 -1/4 (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 -1/4 (/.f64 x (/.f64 1 x)))
(/.f64 (/.f64 -1/4 x) x)
(/.f64 1 (*.f64 (*.f64 x -4) x))
(/.f64 1 (*.f64 x (*.f64 x -4)))
(/.f64 1 (/.f64 (*.f64 x x) -1/4))
(/.f64 1 (/.f64 x (/.f64 -1/4 x)))
(/.f64 (/.f64 1 x) (*.f64 x -4))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/4 x)) 2) (/.f64 x (cbrt.f64 (/.f64 -1/4 x))))
(/.f64 (sqrt.f64 (/.f64 -1/4 x)) (/.f64 x (sqrt.f64 (/.f64 -1/4 x))))
(/.f64 -1 (*.f64 (neg.f64 x) (*.f64 x -4)))
(/.f64 -1 (*.f64 (*.f64 x -4) (neg.f64 x)))
(/.f64 1/4 (neg.f64 (*.f64 x x)))
(/.f64 1/4 (*.f64 (neg.f64 x) x))
(/.f64 1/4 (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 -1/4 x)) (neg.f64 x))
(/.f64 (/.f64 (/.f64 -1/4 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 -1/4 x) 1) x)
(/.f64 (/.f64 (/.f64 -1/4 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (*.f64 1/4 (/.f64 1 x)) (neg.f64 x))
(/.f64 (*.f64 -1 (/.f64 -1/4 x)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 -1/4 x) -1) (neg.f64 x))
(/.f64 (*.f64 (/.f64 1 x) 1/4) (neg.f64 x))
(pow.f64 (*.f64 -1/4 (pow.f64 x -2)) 1)
(pow.f64 (pow.f64 (*.f64 -1/4 (pow.f64 x -2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 -1/4 (pow.f64 x -2))) 3)
(pow.f64 (/.f64 (sqrt.f64 -1/4) x) 2)
(sqrt.f64 (pow.f64 (*.f64 -1/4 (pow.f64 x -2)) 2))
(log.f64 (exp.f64 (*.f64 -1/4 (pow.f64 x -2))))
(cbrt.f64 (pow.f64 (*.f64 -1/4 (pow.f64 x -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 -1/4 x) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1/4 x) 3) (/.f64 (pow.f64 x -2) x)))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (/.f64 -1/4 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/4 (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 -1/4 (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 -1/4 (pow.f64 x -2))))
Outputs
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(/.f64 -1/4 (pow.f64 x 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(-.f64 (+.f64 1 (*.f64 -1/4 (pow.f64 x -2))) 1)
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(/.f64 -1/4 (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(/.f64 -1/4 (/.f64 x (/.f64 1 x)))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(/.f64 (/.f64 -1/4 x) x)
(/.f64 -1/4 (*.f64 x x))
(/.f64 1 (*.f64 (*.f64 x -4) x))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(/.f64 1 (*.f64 x (*.f64 x -4)))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(/.f64 1 (/.f64 (*.f64 x x) -1/4))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(/.f64 1 (/.f64 x (/.f64 -1/4 x)))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(/.f64 (/.f64 1 x) (*.f64 x -4))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/4 x)) 2) (/.f64 x (cbrt.f64 (/.f64 -1/4 x))))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(/.f64 (sqrt.f64 (/.f64 -1/4 x)) (/.f64 x (sqrt.f64 (/.f64 -1/4 x))))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(/.f64 -1 (*.f64 (neg.f64 x) (*.f64 x -4)))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(/.f64 -1 (*.f64 (*.f64 x -4) (neg.f64 x)))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(/.f64 1/4 (neg.f64 (*.f64 x x)))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(/.f64 1/4 (*.f64 (neg.f64 x) x))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(/.f64 1/4 (*.f64 x (neg.f64 x)))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(/.f64 (neg.f64 (/.f64 -1/4 x)) (neg.f64 x))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(/.f64 (/.f64 (/.f64 -1/4 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(/.f64 (/.f64 (/.f64 -1/4 x) 1) x)
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(/.f64 (/.f64 (/.f64 -1/4 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(/.f64 (*.f64 1/4 (/.f64 1 x)) (neg.f64 x))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(/.f64 (*.f64 -1 (/.f64 -1/4 x)) (neg.f64 x))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(/.f64 (*.f64 (/.f64 -1/4 x) -1) (neg.f64 x))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(/.f64 (*.f64 (/.f64 1 x) 1/4) (neg.f64 x))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(pow.f64 (*.f64 -1/4 (pow.f64 x -2)) 1)
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(pow.f64 (pow.f64 (*.f64 -1/4 (pow.f64 x -2)) 3) 1/3)
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(pow.f64 (cbrt.f64 (*.f64 -1/4 (pow.f64 x -2))) 3)
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(pow.f64 (/.f64 (sqrt.f64 -1/4) x) 2)
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(sqrt.f64 (pow.f64 (*.f64 -1/4 (pow.f64 x -2)) 2))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(log.f64 (exp.f64 (*.f64 -1/4 (pow.f64 x -2))))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(cbrt.f64 (pow.f64 (*.f64 -1/4 (pow.f64 x -2)) 3))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(cbrt.f64 (/.f64 (pow.f64 (/.f64 -1/4 x) 3) (pow.f64 x 3)))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1/4 x) 3) (/.f64 (pow.f64 x -2) x)))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(cbrt.f64 (*.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (/.f64 -1/4 x) 3)))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(expm1.f64 (log1p.f64 (*.f64 -1/4 (pow.f64 x -2))))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(log1p.f64 (expm1.f64 (*.f64 -1/4 (pow.f64 x -2))))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(exp.f64 (log.f64 (*.f64 -1/4 (pow.f64 x -2))))
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)

eval7.0ms (0.2%)

Compiler

Compiled 306 to 220 computations (28.1% saved)

prune9.0ms (0.2%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New37239
Fresh000
Picked011
Done055
Total37845
Error
0b
Counts
45 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
62.3b
(/.f64 (/.f64 -1/4 x) x)
62.3b
(/.f64 1 (/.f64 x (/.f64 -1/4 x)))
✓62.3b
(/.f64 -1/4 (*.f64 x x))
✓0.2b
(-.f64 (log.f64 (*.f64 x 2)) (/.f64 1/4 (*.f64 x x)))
✓62.3b
(*.f64 (/.f64 -1/4 x) (/.f64 1 x))
✓0.2b
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓32.3b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓0.6b
(log.f64 (+.f64 x x))
Compiler

Compiled 63 to 45 computations (28.6% saved)

regimes18.0ms (0.5%)

Counts
9 → 1
Calls
Call 1
Inputs
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(*.f64 (/.f64 -1/4 x) (/.f64 1 x))
(/.f64 1 (/.f64 x (/.f64 -1/4 x)))
(log.f64 (+.f64 x x))
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(-.f64 (log.f64 (*.f64 x 2)) (/.f64 1/4 (*.f64 x x)))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
Outputs
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
Calls

3 calls:

6.0ms
x
6.0ms
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
5.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Results
ErrorSegmentsBranch
0.2b1x
0.2b1(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
0.2b1(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Compiler

Compiled 88 to 57 computations (35.2% saved)

regimes7.0ms (0.2%)

Counts
5 → 1
Calls
Call 1
Inputs
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(*.f64 (/.f64 -1/4 x) (/.f64 1 x))
(/.f64 1 (/.f64 x (/.f64 -1/4 x)))
(log.f64 (+.f64 x x))
Outputs
(log.f64 (+.f64 x x))
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
0.6b1x
Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes5.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
(/.f64 -1/4 (*.f64 x x))
(/.f64 (/.f64 -1/4 x) x)
(*.f64 (/.f64 -1/4 x) (/.f64 1 x))
(/.f64 1 (/.f64 x (/.f64 -1/4 x)))
Outputs
(/.f64 1 (/.f64 x (/.f64 -1/4 x)))
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
62.3b1x
Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes6.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
62.3b1x
Compiler

Compiled 20 to 13 computations (35% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
2×*-commutative_binary64
2×sub-neg_binary64
1×distribute-neg-frac_binary64
1×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01735
12235
22935
33135
43235
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(log.f64 (+.f64 x x))
(/.f64 1 (/.f64 x (/.f64 -1/4 x)))
(/.f64 -1/4 (*.f64 x x))
Outputs
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(log.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x)))
(log.f64 (+.f64 x x))
(/.f64 1 (/.f64 x (/.f64 -1/4 x)))
(/.f64 -1/4 (*.f64 x x))
Compiler

Compiled 28 to 20 computations (28.6% saved)

soundness60.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
831×fma-def_binary64
448×unswap-sqr_binary64
400×times-frac_binary64
261×associate-/l*_binary64
249×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02792059
16711874
221701668
Stop Event
1×node limit
Compiler

Compiled 36 to 28 computations (22.2% saved)

end28.0ms (0.8%)

Compiler

Compiled 25 to 17 computations (32% saved)

Profiling

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