Details

Time bar (total: 12.2s)

analyze602.0ms (4.9%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%50%50%0
0%50%50%1
0%50%50%2
0%50%50%3
0%50%50%4
3.1%46.8%50%5
4.7%45.3%50%6
5.5%44.5%50%7
5.9%44.1%50%8
6%43.9%50%9
6.1%43.8%50%10
6.2%43.8%50%11
6.2%43.7%50%12
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample7.7s (63.1%)

Results
4.9s4056×body1024valid
1.7s2148×body512valid
581.0ms1654×body256valid
516.0ms398×body2048valid

preprocess28.0ms (0.2%)

Algorithm
2×egg-herbie
Rules
8×sub-neg_binary64
6×fma-def_binary64
5×+-commutative_binary64
4×associate-+l-_binary64
3×associate--r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11410
21910
32510
43310
54310
65710
77310
87710
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Outputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify14.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
8×sub-neg_binary64
6×fma-def_binary64
5×+-commutative_binary64
4×associate-+l-_binary64
3×associate--r+_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0811
11410
21910
32510
43310
54310
65710
77310
87710
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Outputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

eval1.0ms (0%)

Compiler

Compiled 16 to 12 computations (25% saved)

prune101.0ms (0.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶61.2b
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Compiler

Compiled 17 to 13 computations (23.5% saved)

localize25.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
✓6.1b
(log.f64 (+.f64 1 x))
✓6.1b
(log.f64 (-.f64 1 x))
Compiler

Compiled 26 to 19 computations (26.9% saved)

series17.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
3.0ms
x
@inf
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
1.0ms
x
@0
(log.f64 (-.f64 1 x))
1.0ms
x
@inf
(log.f64 (-.f64 1 x))
1.0ms
x
@-inf
(log.f64 (-.f64 1 x))

rewrite99.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
878×pow1_binary64
815×add-log-exp_binary64
815×log1p-expm1-u_binary64
815×expm1-log1p-u_binary64
800×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0820
116718
2218418
Stop Event
1×node limit
Counts
3 → 71
Calls
Call 1
Inputs
(log.f64 (-.f64 1 x))
(log.f64 (+.f64 1 x))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (log.f64 (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (log.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (cbrt.f64 (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (sqrt.f64 (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (neg.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log1p.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (/.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (*.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (/.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (/.f64 1 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) 1) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 (neg.f64 x)) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 (neg.f64 x)) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (-.f64 1 x) (/.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 3) (pow.f64 (log1p.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))))

simplify91.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
719×fma-def_binary64
543×associate-/r*_binary64
337×associate--r+_binary64
321×times-frac_binary64
244×associate-+l-_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01631636
15591496
219461399
Stop Event
1×node limit
Counts
107 → 141
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1 x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -1/4 (pow.f64 x 4)))))
(+.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 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 2 (*.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (log.f64 (/.f64 1 x)))))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))) (pow.f64 x 3))))))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(fma.f64 x (*.f64 x -1/2) (neg.f64 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1 x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3))) x)
(-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -1/4 (pow.f64 x 4)))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -1 x (*.f64 -1/4 (pow.f64 x 4)))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -1/4 (pow.f64 x 4) (neg.f64 x))))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -1/4 (pow.f64 x 4) (neg.f64 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1))
(+.f64 (log.f64 x) (log.f64 -1))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (/.f64 1 x))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (/.f64 1 x))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1) (/.f64 -1 x)))
(+.f64 (log.f64 -1) (+.f64 (log.f64 x) (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (log.f64 x) (-.f64 (-.f64 (log.f64 -1) (/.f64 1/2 (*.f64 x x))) (/.f64 1 x)))
(+.f64 (log.f64 x) (+.f64 (+.f64 (log.f64 -1) (/.f64 -1/2 (*.f64 x x))) (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))))
(+.f64 (log.f64 x) (-.f64 (-.f64 (log.f64 -1) (/.f64 1/2 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))))
(+.f64 (log.f64 x) (-.f64 (+.f64 (+.f64 (log.f64 -1) (/.f64 -1/2 (*.f64 x x))) (/.f64 -1 x)) (/.f64 1/3 (pow.f64 x 3))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(neg.f64 (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1 x)) (/.f64 1/2 (*.f64 x x)))
(+.f64 (-.f64 (/.f64 -1 x) (log.f64 (/.f64 -1 x))) (/.f64 -1/2 (*.f64 x x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))))
(-.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1 x)) (/.f64 1/2 (*.f64 x x))) (/.f64 1/3 (pow.f64 x 3)))
(+.f64 (-.f64 (-.f64 (/.f64 -1 x) (log.f64 (/.f64 -1 x))) (/.f64 1/3 (pow.f64 x 3))) (/.f64 -1/2 (*.f64 x x)))
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(fma.f64 x (*.f64 x -1/2) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 (pow.f64 x 3) 1/3 x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 3) 1/3 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/4 (pow.f64 x 4) x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 -1/4 (pow.f64 x 4) x)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 -1/4 (pow.f64 x 4) 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 x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x)) (/.f64 1/2 (*.f64 x x)))
(+.f64 (log.f64 x) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (/.f64 -1/2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (-.f64 (log.f64 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (/.f64 -1/2 (*.f64 x 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 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (log.f64 -1)))
(+.f64 (/.f64 1 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (log.f64 -1))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(-.f64 (log.f64 -1) (-.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (/.f64 1/2 (*.f64 x x))))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 (pow.f64 x 3) -5/12))) -1)
(fma.f64 -1/2 (*.f64 x x) (+.f64 (-.f64 (*.f64 (pow.f64 x 3) -5/12) x) -1))
(fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 3) -5/12 (-.f64 -1 x)))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))
(neg.f64 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 (+.f64 (log.f64 x) (log.f64 -1))) (neg.f64 (log.f64 x)))
(*.f64 1 (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (log.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 2 (*.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x))) (/.f64 2 (*.f64 x (neg.f64 (log.f64 x))))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2))))
(-.f64 (-.f64 (/.f64 2 (*.f64 x (neg.f64 (log.f64 x)))) (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (neg.f64 (log.f64 x)))) (/.f64 (/.f64 (log.f64 -1) x) (*.f64 (log.f64 x) (log.f64 x))))
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(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x)) (/.f64 (-.f64 (/.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (-.f64 (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (/.f64 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))) (pow.f64 x 3))) (/.f64 (-.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)))) (*.f64 x x)))
(-.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x)) (+.f64 (/.f64 (-.f64 (/.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (+.f64 (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (+.f64 -1/2 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))) (pow.f64 x 3)) (/.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (-.f64 (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))))) (*.f64 x x))))

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Compiler

Compiled 15 to 5 computations (66.7% saved)

series4.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
1.0ms
x
@inf
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
1.0ms
x
@0
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

rewrite301.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
435×pow1_binary64
418×add-sqr-sqrt_binary64
412×*-un-lft-identity_binary64
402×add-log-exp_binary64
402×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0610
11248
217178
Stop Event
1×node limit
Counts
1 → 30
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))))

simplify318.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
536×associate-/r*_binary64
450×fma-def_binary64
313×times-frac_binary64
287×associate-+l+_binary64
287×associate--r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01221206
14111099
214811006
378061006
Stop Event
1×node limit
Counts
42 → 53
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 2 (*.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (log.f64 (/.f64 1 x)))))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))) (pow.f64 x 3))))))
Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1)
(fma.f64 -1/2 (*.f64 x x) (+.f64 (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)) -1))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))
(neg.f64 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 (+.f64 (log.f64 -1) (log.f64 x))) (neg.f64 (log.f64 x)))
(*.f64 1 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (log.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 2 (*.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x))) (/.f64 2 (*.f64 x (neg.f64 (log.f64 x))))) (/.f64 (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2)) x))
(-.f64 (-.f64 (/.f64 (/.f64 2 x) (neg.f64 (log.f64 x))) (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (log.f64 x)))) (/.f64 (/.f64 (log.f64 -1) (*.f64 (log.f64 x) (log.f64 x))) x))
(-.f64 (-.f64 (/.f64 (/.f64 -2 (log.f64 x)) x) (/.f64 (log.f64 -1) (*.f64 x (*.f64 (log.f64 x) (log.f64 x))))) (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (log.f64 x))))
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(-.f64 (+.f64 (/.f64 2 (*.f64 x (neg.f64 (log.f64 x)))) (+.f64 (neg.f64 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x)))) (/.f64 1/2 (*.f64 (*.f64 x x) (neg.f64 (log.f64 x)))))) (+.f64 (fma.f64 -1 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (*.f64 (*.f64 x x) (neg.f64 (log.f64 x)))) (/.f64 (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2)) x)) (*.f64 -1/2 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (*.f64 (*.f64 x x) (pow.f64 (neg.f64 (log.f64 x)) 2))))))
(+.f64 (-.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (neg.f64 (log.f64 x)))) (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (/.f64 (/.f64 2 x) (neg.f64 (log.f64 x))) (-.f64 (fma.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (*.f64 (*.f64 x x) (*.f64 (log.f64 x) (log.f64 x)))) (/.f64 (/.f64 (log.f64 -1) (*.f64 (log.f64 x) (log.f64 x))) x)) (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (*.f64 (log.f64 x) (log.f64 x)))) (*.f64 (*.f64 x x) (neg.f64 (log.f64 x)))))))
(+.f64 (-.f64 (/.f64 (/.f64 -1/2 (log.f64 x)) (*.f64 x x)) (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (log.f64 x)))) (+.f64 (-.f64 (/.f64 (/.f64 -2 (log.f64 x)) x) (fma.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (*.f64 x (*.f64 x (*.f64 (log.f64 x) (log.f64 x))))) (/.f64 (log.f64 -1) (*.f64 x (*.f64 (log.f64 x) (log.f64 x)))))) (/.f64 (-.f64 (/.f64 2 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 3))) (*.f64 x x))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (log.f64 (/.f64 1 x)))))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))))))))
(+.f64 (/.f64 2 (*.f64 x (neg.f64 (log.f64 x)))) (-.f64 (+.f64 (+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (neg.f64 (log.f64 x)))) (/.f64 1/3 (*.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))))) (neg.f64 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x))))) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (*.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))) (fma.f64 1/3 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (*.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (log.f64 x)) 2))) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (*.f64 (*.f64 x x) (pow.f64 (neg.f64 (log.f64 x)) 2))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1/2 (neg.f64 (log.f64 x))) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (pow.f64 (neg.f64 (log.f64 x)) 2)) (neg.f64 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (neg.f64 (log.f64 x)))))) (*.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (*.f64 (*.f64 x x) (neg.f64 (log.f64 x)))) (/.f64 (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2)) x))))))))
(+.f64 (/.f64 (/.f64 2 x) (neg.f64 (log.f64 x))) (-.f64 (+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (neg.f64 (log.f64 x)))) (-.f64 (/.f64 (/.f64 1/3 (pow.f64 x 3)) (neg.f64 (log.f64 x))) (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (log.f64 x))))) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (*.f64 (log.f64 x) (log.f64 x)))) (*.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))) (fma.f64 1/3 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (*.f64 (pow.f64 x 3) (*.f64 (log.f64 x) (log.f64 x)))) (fma.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (*.f64 (*.f64 x x) (*.f64 (log.f64 x) (log.f64 x)))) (-.f64 (-.f64 (/.f64 (/.f64 (log.f64 -1) (*.f64 (log.f64 x) (log.f64 x))) x) (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (*.f64 (log.f64 x) (log.f64 x)))) (*.f64 (*.f64 x x) (neg.f64 (log.f64 x))))) (/.f64 (-.f64 (/.f64 1/2 (neg.f64 (log.f64 x))) (-.f64 (/.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (log.f64 x))) (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (*.f64 (log.f64 x) (log.f64 x)))) (neg.f64 (log.f64 x))))) (*.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))))))))))
(-.f64 (-.f64 (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 -2 (log.f64 x)) x) (/.f64 (/.f64 -1/2 (log.f64 x)) (*.f64 x x))) (-.f64 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (log.f64 x))) (/.f64 (/.f64 -1/3 (log.f64 x)) (pow.f64 x 3)))) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 2 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 3))) (pow.f64 x 3)) (*.f64 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3)))))) (/.f64 (log.f64 -1) (*.f64 x (*.f64 (log.f64 x) (log.f64 x))))) (*.f64 (/.f64 1 (log.f64 x)) (+.f64 (/.f64 (-.f64 (/.f64 -2 (log.f64 x)) (/.f64 (log.f64 -1) (*.f64 (log.f64 x) (log.f64 x)))) (*.f64 x x)) (/.f64 (+.f64 (/.f64 -1/2 (log.f64 x)) (+.f64 (-.f64 (/.f64 2 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 3))) (*.f64 1/2 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (*.f64 (log.f64 x) (log.f64 x)))))) (pow.f64 x 3)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)))
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (-.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) x)))
(-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (/.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (*.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (-.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) x))))
(-.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x)) (/.f64 (-.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)))) (*.f64 x x)))
(-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x) (/.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (-.f64 (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))))) (*.f64 x x))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))) (pow.f64 x 3))))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (/.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (*.f64 x x)) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 -1 (+.f64 (/.f64 (-.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) x) (/.f64 (-.f64 (/.f64 1/3 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3)) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (+.f64 (/.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))))) (pow.f64 x 3))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x)) (/.f64 (-.f64 (/.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (-.f64 (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (/.f64 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))) (pow.f64 x 3))) (/.f64 (-.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)))) (*.f64 x x)))
(-.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x)) (+.f64 (/.f64 (-.f64 (/.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (+.f64 (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (+.f64 -1/2 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))) (pow.f64 x 3)) (/.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (-.f64 (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))))) (*.f64 x x))))

eval124.0ms (1%)

Compiler

Compiled 5086 to 3665 computations (27.9% saved)

prune46.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1886194
Fresh000
Picked011
Done101
Total1897196
Error
0b
Counts
196 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶61.8b
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log.f64 (+.f64 1 x)))
▶0.0b
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
▶0.1b
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
▶0.1b
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
▶0.5b
(-.f64 -1 x)
1.4b
-1
✓0.0b
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Compiler

Compiled 129 to 99 computations (23.3% saved)

localize62.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
✓0.0b
(pow.f64 x 2)
✓0.0b
(*.f64 -1/2 (pow.f64 x 2))
✓0.1b
(*.f64 -5/12 (pow.f64 x 3))
Compiler

Compiled 68 to 54 computations (20.6% saved)

series12.0ms (0.1%)

Counts
4 → 8
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@0
(*.f64 -5/12 (pow.f64 x 3))
1.0ms
x
@-inf
(pow.f64 x 2)
1.0ms
x
@inf
(*.f64 -5/12 (pow.f64 x 3))
1.0ms
x
@inf
(*.f64 -1/2 (pow.f64 x 2))
1.0ms
x
@inf
(pow.f64 x 2)

rewrite131.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
647×fma-def_binary64
558×log-prod_binary64
342×fma-neg_binary64
324×pow2_binary64
223×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01436
131333
2398533
Stop Event
1×node limit
Counts
4 → 162
Calls
Call 1
Inputs
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -1/2 (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
Outputs
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(*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (*.f64 x x) -5/12) (fma.f64 x (*.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x -1/2) (fma.f64 -5/12 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -5/12 (fma.f64 x (*.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -5/12 (pow.f64 x 3)) 1 (fma.f64 x (*.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -1/2 (fma.f64 -5/12 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 x -5/12) (fma.f64 x (*.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x -1/2)) 1 (fma.f64 -5/12 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 1 (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -5/12 (pow.f64 x 3)) (fma.f64 x (*.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -5/12 (pow.f64 x 3) x) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (*.f64 x -1/2) x) (*.f64 -5/12 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 2) (/.f64 1 (fma.f64 -5/12 (pow.f64 x 3) x)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (fma.f64 -5/12 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 -5/12)) (cbrt.f64 (*.f64 25/144 (pow.f64 x 6))) (fma.f64 x (*.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 25/144 (pow.f64 x 6))) (*.f64 x (cbrt.f64 -5/12)) (fma.f64 x (*.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) 2) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (fma.f64 -5/12 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (fma.f64 -5/12 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 -5/12) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -5/12) (pow.f64 x 3/2)) (fma.f64 x (*.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (fma.f64 25/144 (pow.f64 x 6) (*.f64 (pow.f64 x 4) -5/12)))) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -5/12) (fma.f64 x (*.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (*.f64 x -1/2) x) 1 (*.f64 -5/12 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) (*.f64 -5/12 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) x)) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) x)) (*.f64 -5/12 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -5/12) (pow.f64 x 3/2))) (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -5/12) (pow.f64 x 3/2))) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -5/12 x) (*.f64 x x) (fma.f64 x (*.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -5/12 (*.f64 x x)) x (fma.f64 x (*.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -5/12 (pow.f64 x 3/2)) (pow.f64 x 3/2) (fma.f64 x (*.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 x) x (fma.f64 -5/12 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (fma.f64 -5/12 (pow.f64 x 3) x))))))

simplify67.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
743×distribute-rgt-neg-in_binary64
641×distribute-lft-neg-in_binary64
618×fma-neg_binary64
536×unswap-sqr_binary64
527×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01689
14189
28785
324975
477971
5314371
6709471
Stop Event
1×node limit
Counts
170 → 171
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 -1 x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 -1 x)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 -1 x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x))) x)
(-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))) x)
(-.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)) x)
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 -1 x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x))) x)
(-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))) x)
(-.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)) x)
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12)))
(*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12)))
(*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))

localize3.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 21 to 14 computations (33.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite53.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
774×pow1_binary64
721×add-log-exp_binary64
721×log1p-expm1-u_binary64
721×expm1-log1p-u_binary64
707×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114811
2189011
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x -1/2) -1) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (fma.f64 x (*.f64 x -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))) (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)) (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x))) (neg.f64 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (neg.f64 x))))))

simplify101.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1352×fma-def_binary64
597×fma-neg_binary64
378×distribute-rgt-neg-in_binary64
286×unsub-neg_binary64
273×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
012118
128112
254105
313189
435089
5102589
6238989
7436089
8535989
9630989
10668489
11712089
Stop Event
1×node limit
Counts
49 → 46
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(+.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(*.f64 x (fma.f64 x 1/2 1))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(*.f64 x (fma.f64 x 1/2 1))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 37 to 29 computations (21.6% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log.f64 (+.f64 1 x)))
✓0.0b
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x)))
✓0.3b
(*.f64 -1/3 x)
6.1b
(log.f64 (+.f64 1 x))
Compiler

Compiled 59 to 37 computations (37.3% saved)

series9.0ms (0.1%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(*.f64 -1/3 x)
2.0ms
x
@-inf
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log.f64 (+.f64 1 x)))
1.0ms
x
@inf
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log.f64 (+.f64 1 x)))
1.0ms
x
@inf
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x)))
0.0ms
x
@0
(*.f64 -1/3 x)

rewrite85.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
730×log-prod_binary64
670×fma-def_binary64
329×fma-neg_binary64
259×expm1-udef_binary64
258×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01338
129934
2434034
Stop Event
1×node limit
Counts
3 → 130
Calls
Call 1
Inputs
(*.f64 -1/3 x)
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log.f64 (+.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) x)) (cbrt.f64 (pow.f64 (exp.f64 -1/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/27 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/3 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x (fma.f64 -1/3 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) 1) (*.f64 (*.f64 -1/3 (pow.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 -1/3 x -1/2)))) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 -1/3 x -1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 -1/3 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 -1/3 x -1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 -1/3 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 -1/3 x 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(/.f64 (fma.f64 -1/3 x -1/2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (*.f64 x (*.f64 x (fma.f64 -1/3 x -1/2))) (cbrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 -1/3 x -1/2) 2))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 -1/3 x -1/2)))) (cbrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/3 x -1/2))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/3 x -1/2))) (cbrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (sqrt.f64 (log1p.f64 x))) (/.f64 (*.f64 x (fma.f64 -1/3 x -1/2)) (sqrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x x) (sqrt.f64 (log1p.f64 x))) (/.f64 (fma.f64 -1/3 x -1/2) (sqrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 -1/3 x -1/2) (sqrt.f64 (log1p.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (*.f64 x (*.f64 x (fma.f64 -1/3 x -1/2))) (sqrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 -1/3 x -1/2) 2))) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 -1/3 x -1/2)))) (sqrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/3 x -1/2))) (sqrt.f64 (log1p.f64 x))) (/.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/3 x -1/2))) (sqrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))))

simplify74.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
711×times-frac_binary64
518×fma-neg_binary64
371×distribute-rgt-in_binary64
341×distribute-lft-in_binary64
272×div-sub_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
082896
1256886
2783814
33698629
Stop Event
1×node limit
Counts
154 → 154
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3)))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3)))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3)))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(*.f64 1/3 (/.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x)))) (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2)))
(+.f64 (*.f64 x (-.f64 (/.f64 1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (log.f64 (/.f64 1 x)))) (*.f64 1/6 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)))))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x)))) (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 x (-.f64 (/.f64 1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (log.f64 (/.f64 1 x)))) (*.f64 1/6 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)))))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x)))) (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (log.f64 (/.f64 1 x)))) (*.f64 1/6 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))))) (log.f64 (/.f64 1 x)))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (log.f64 (/.f64 1 x))))))
(*.f64 -1/3 (/.f64 (pow.f64 x 3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (*.f64 -1/3 (/.f64 (pow.f64 x 3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x)) (+.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (*.f64 -1/3 (/.f64 (pow.f64 x 3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x)) (+.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (*.f64 -1/3 (/.f64 (pow.f64 x 3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
Outputs
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/3)))
(*.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/3))))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/3)))
(*.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/3))))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/3)))
(*.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/3))))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/3)))
(*.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/3))))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/3)))
(*.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/3))))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/3)))
(*.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/3))))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/3)))
(*.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/3))))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/3)))
(*.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/3))))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/3)))
(*.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x -1/3))))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 x -1 -1))
(-.f64 (fma.f64 x (*.f64 -1/2 x) -1) x)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))) -1)
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 -1/2 (*.f64 x x) (fma.f64 x -1 -1)))
(fma.f64 (pow.f64 x 3) -1/6 (-.f64 (fma.f64 x (*.f64 -1/2 x) -1) x))
(-.f64 (fma.f64 (*.f64 x x) (+.f64 (*.f64 x -1/6) -1/2) -1) x)
(*.f64 1/3 (/.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x))))
(*.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))))
(*.f64 (/.f64 -1/3 (log.f64 x)) (pow.f64 x 3))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x)))) (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2)))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))) (*.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x))))))
(fma.f64 (*.f64 x x) (+.f64 (/.f64 1/3 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (*.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))))
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eval232.0ms (1.9%)

Compiler

Compiled 9652 to 6693 computations (30.7% saved)

prune66.0ms (0.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New4525457
Fresh101
Picked101
Done325
Total4577464
Error
0b
Counts
464 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
▶0.1b
(-.f64 (fma.f64 (*.f64 x x) (+.f64 (*.f64 x -1/6) -1/2) -1) x)
▶0.1b
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1 x)) 1)
1.4b
-1
▶0.1b
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
✓0.5b
(-.f64 -1 x)
✓0.0b
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Compiler

Compiled 66 to 49 computations (25.8% saved)

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 24 to 16 computations (33.3% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite66.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
633×unpow-prod-down_binary64
420×log-prod_binary64
388×fma-def_binary64
305×exp-prod_binary64
269×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
118111
2249011
Stop Event
1×node limit
Counts
1 → 86
Calls
Call 1
Inputs
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 x (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (+.f64 (fma.f64 x (*.f64 x -1/2) 1) x)) (/.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 (fma.f64 x (*.f64 x -1/2) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (/.f64 1 (fma.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) (*.f64 1/4 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (pow.f64 (/.f64 1 (fma.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) (*.f64 1/4 (pow.f64 x 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 -1 x) 2)) (/.f64 1 (+.f64 (fma.f64 x (*.f64 x -1/2) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 -1 x) 2)) (pow.f64 (/.f64 1 (+.f64 (fma.f64 x (*.f64 x -1/2) 1) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))) 2) 3) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) (*.f64 1/4 (pow.f64 x 4))) (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 x (*.f64 x -1/2) 1) x) (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 -1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) (*.f64 1/4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (+.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 x (*.f64 (*.f64 x -1/2) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 -1 x) 2)) (+.f64 (fma.f64 x (*.f64 x -1/2) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3))) (neg.f64 (fma.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) (*.f64 1/4 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 -1 x) 2))) (neg.f64 (+.f64 (fma.f64 x (*.f64 x -1/2) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (fma.f64 x x (*.f64 (fma.f64 x (*.f64 x -1/2) -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (+.f64 (fma.f64 x (*.f64 x -1/2) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 1/4 (pow.f64 x 4))) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) (*.f64 1/4 (pow.f64 x 4))) (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (fma.f64 x (*.f64 x -1/2) 1) x) (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 -1 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))) (sqrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) -1)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))) (exp.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/2)) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (pow.f64 (exp.f64 x) (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (-.f64 -1 x)) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -1/2) x (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x -1/2)) 1 (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 -1 x) 1 (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -1/2 (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x -1/2)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 x -1/2) 2)) (*.f64 (cbrt.f64 (*.f64 x -1/2)) x) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -1/2)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -1/2)) (*.f64 (sqrt.f64 (*.f64 x -1/2)) x) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x -1)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (sqrt.f64 -1/2) 1) (fma.f64 x (sqrt.f64 -1/2) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (*.f64 x -1/2) 2))) (cbrt.f64 (*.f64 x -1/2)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/2))) (sqrt.f64 (*.f64 x -1/2)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x) (-.f64 -1 x))))))

simplify105.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1352×fma-def_binary64
597×fma-neg_binary64
378×distribute-rgt-neg-in_binary64
286×unsub-neg_binary64
273×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
012118
128112
254105
313189
435089
5102589
6238989
7436089
8535989
9630989
10668489
11712089
Stop Event
1×node limit
Counts
98 → 95
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(+.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(*.f64 x (fma.f64 x 1/2 1))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(*.f64 x (fma.f64 x 1/2 1))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 36 to 21 computations (41.7% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite42.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
432×pow1_binary64
420×add-sqr-sqrt_binary64
411×*-un-lft-identity_binary64
401×add-log-exp_binary64
401×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11027
211487
Stop Event
1×node limit
Counts
1 → 14
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (*.f64 x x))))))))

simplify192.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1082×sqr-pow_binary64
617×cube-prod_binary64
554×fabs-mul_binary64
523×pow-sqr_binary64
441×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11284
22384
34484
410584
533184
6125084
7212384
8228784
9247184
10267984
11297684
12337184
13385284
14441884
15510284
16593584
17632784
18661984
19689584
20696984
21700384
22794484
Stop Event
1×node limit
Counts
26 → 16
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
Outputs
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))

localize27.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 -1/2 (*.f64 x x))
✓0.0b
(+.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
0.1b
(*.f64 -5/12 (pow.f64 x 3))
Compiler

Compiled 67 to 46 computations (31.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
0.0ms
x
@inf
(+.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
0.0ms
x
@-inf
(+.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))

rewrite77.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
688×fma-def_binary64
560×log-prod_binary64
363×fma-neg_binary64
312×pow2_binary64
226×pow-unpow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01318
129115
2387615
Stop Event
1×node limit
Counts
1 → 106
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (fma.f64 -1/2 (*.f64 x x) (neg.f64 (fma.f64 -5/12 (pow.f64 x 3) x)))) (/.f64 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 2) (fma.f64 -1/2 (*.f64 x x) (neg.f64 (fma.f64 -5/12 (pow.f64 x 3) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x))) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x))) (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/8 (pow.f64 x 6) (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 3)) (/.f64 1 (fma.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (-.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (*.f64 -1/2 (*.f64 x x))) (*.f64 1/4 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 2)) (/.f64 1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 (fma.f64 -5/12 (pow.f64 x 3) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (-.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (*.f64 -1/2 (*.f64 x x))) (*.f64 1/4 (pow.f64 x 4))) (fma.f64 -1/8 (pow.f64 x 6) (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 (fma.f64 -5/12 (pow.f64 x 3) x))) (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/8 (pow.f64 x 6) (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 3)) (fma.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (-.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (*.f64 -1/2 (*.f64 x x))) (*.f64 1/4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/8 (pow.f64 x 6) (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 3)) (+.f64 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 2) (-.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 (*.f64 -1/2 (*.f64 x x)) (fma.f64 -5/12 (pow.f64 x 3) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 2)) (fma.f64 -1/2 (*.f64 x x) (neg.f64 (fma.f64 -5/12 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -1/8 (pow.f64 x 6) (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 3))) (neg.f64 (fma.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (-.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (*.f64 -1/2 (*.f64 x x))) (*.f64 1/4 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 2))) (neg.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 (fma.f64 -5/12 (pow.f64 x 3) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 -1/2 x -1)) 3) (*.f64 -125/1728 (pow.f64 (pow.f64 x 3) 3))) (+.f64 (pow.f64 (*.f64 x (fma.f64 -1/2 x -1)) 2) (-.f64 (*.f64 25/144 (pow.f64 x 6)) (*.f64 (*.f64 x (fma.f64 -1/2 x -1)) (*.f64 -5/12 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 2) (*.f64 1/4 (pow.f64 x 4))) (-.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (*.f64 -1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 -1/2 x -1)) 2) (*.f64 25/144 (pow.f64 x 6))) (fma.f64 -1/2 (*.f64 x x) (neg.f64 (fma.f64 -5/12 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (-.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (*.f64 -1/2 (*.f64 x x))) (*.f64 1/4 (pow.f64 x 4))) (fma.f64 -1/8 (pow.f64 x 6) (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 (fma.f64 -5/12 (pow.f64 x 3) x))) (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x x)))) (exp.f64 (fma.f64 -5/12 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2) (+.f64 1 (expm1.f64 (fma.f64 -5/12 (pow.f64 x 3) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x x)))) (+.f64 1 (expm1.f64 (fma.f64 -5/12 (pow.f64 x 3) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2) (/.f64 (exp.f64 x) (pow.f64 (exp.f64 -5/12) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x x)))) (/.f64 (exp.f64 x) (pow.f64 (exp.f64 -5/12) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -5/12) (pow.f64 x 3)) (exp.f64 (*.f64 x (fma.f64 -1/2 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -5/12 (pow.f64 x 3)))) (exp.f64 (*.f64 x (fma.f64 -1/2 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -5/12) (pow.f64 x 3)) (*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -5/12 (pow.f64 x 3)))) (*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2) (exp.f64 x))))))) (#(struct:change #<rule 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(pow.f64 x 3) (*.f64 x (fma.f64 -1/2 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -5/12 (*.f64 x (fma.f64 -1/2 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -5/12 (pow.f64 x 3)) 1 (*.f64 x (fma.f64 -1/2 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 1 (*.f64 -1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/2 (*.f64 x x)) (fma.f64 -5/12 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (fma.f64 -1/2 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -5/12 (pow.f64 x 3) x) (*.f64 -1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (fma.f64 -1/2 x -1)) (*.f64 -5/12 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 2) (/.f64 1 (fma.f64 -5/12 (pow.f64 x 3) x)) (*.f64 -1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 -5/12)) (pow.f64 (*.f64 x (cbrt.f64 -5/12)) 2) (*.f64 x (fma.f64 -1/2 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -5/12)) 2) (*.f64 x (cbrt.f64 -5/12)) (*.f64 x (fma.f64 -1/2 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (fma.f64 -5/12 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) (fma.f64 -5/12 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) 2) (*.f64 -1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) 2) (cbrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (fma.f64 -1/2 x -1)) 1 (*.f64 -5/12 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 -1/2 x -1))) 2) (cbrt.f64 (*.f64 x (fma.f64 -1/2 x -1))) (*.f64 -5/12 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (fma.f64 -1/2 x -1))) (sqrt.f64 (*.f64 x (fma.f64 -1/2 x -1))) (*.f64 -5/12 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -5/12) (pow.f64 x 3/2))) (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -5/12) (pow.f64 x 3/2))) (*.f64 -1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x))))))) (#(struct:change #<rule 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(pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x))))))))

simplify81.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
743×distribute-rgt-neg-in_binary64
645×distribute-lft-neg-in_binary64
618×fma-neg_binary64
536×unswap-sqr_binary64
515×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
018157
145157
289149
3251131
4785119
53116119
67076119
Stop Event
1×node limit
Counts
118 → 116
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 -1 x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 -1 x)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 -1 x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x))) x)
(-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))) x)
(fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) (neg.f64 x))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 -1 x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x))) x)
(-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))) x)
(fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) (neg.f64 x))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12)))
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))
(*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x))) x)
(-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))) x)
(fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) (neg.f64 x))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x))) x)
(-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))) x)
(fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) (neg.f64 x))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12)))
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))
(*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x))) x)
(-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))) x)
(fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) (neg.f64 x))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x))) x)
(-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))) x)
(fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) (neg.f64 x))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (fma.f64 (*.f64 x x) (+.f64 (*.f64 x -1/6) -1/2) -1) x)
✓0.3b
(*.f64 x -1/6)
Compiler

Compiled 38 to 24 computations (36.8% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 x -1/6)
1.0ms
x
@inf
(*.f64 x -1/6)
0.0ms
x
@-inf
(*.f64 x -1/6)
0.0ms
x
@inf
(-.f64 (fma.f64 (*.f64 x x) (+.f64 (*.f64 x -1/6) -1/2) -1) x)
0.0ms
x
@-inf
(-.f64 (fma.f64 (*.f64 x x) (+.f64 (*.f64 x -1/6) -1/2) -1) x)

rewrite77.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
565×prod-diff_binary64
451×log-prod_binary64
364×fma-def_binary64
297×pow-prod-down_binary64
278×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
122019
2285519
Stop Event
1×node limit
Counts
2 → 140
Calls
Call 1
Inputs
(*.f64 x -1/6)
(-.f64 (fma.f64 (*.f64 x x) (+.f64 (*.f64 x -1/6) -1/2) -1) x)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) -1) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (-.f64 -1 x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (-.f64 -1 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (-.f64 -1 x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (-.f64 -1 x)) (fma.f64 -1 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)) (-.f64 -1 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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x -1/6 -1/2)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 (fma.f64 x -1/6 -1/2))) 2) (cbrt.f64 (fma.f64 x -1/6 -1/2)) (+.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -1/6 -1/2))) (sqrt.f64 (fma.f64 x -1/6 -1/2)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -1/6 -1/2))) (sqrt.f64 (fma.f64 x -1/6 -1/2)) (+.f64 -1 (neg.f64 x)))))))

simplify77.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
772×distribute-rgt-neg-in_binary64
667×distribute-lft-neg-in_binary64
536×unswap-sqr_binary64
514×associate-*l*_binary64
467×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
020203
152199
2114190
3372171
41163161
54048161
67749161
Stop Event
1×node limit
Counts
164 → 153
Calls
Call 1
Inputs
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
Outputs
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 x -1 -1))
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))) -1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (fma.f64 x -1 -1)))
(fma.f64 -1/6 (pow.f64 x 3) (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x))
(fma.f64 (*.f64 x x) (fma.f64 -1/6 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x (fma.f64 -1/6 x -1/2) -1) -1)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/6 x)))
(*.f64 (*.f64 x x) (fma.f64 -1/6 x -1/2))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))) x)
(-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/6 x))) x)
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x -1/2)) x)
(*.f64 x (fma.f64 x (fma.f64 -1/6 x -1/2) -1))
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))) -1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (fma.f64 x -1 -1)))
(fma.f64 -1/6 (pow.f64 x 3) (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x))
(fma.f64 (*.f64 x x) (fma.f64 -1/6 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x (fma.f64 -1/6 x -1/2) -1) -1)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/6 x)))
(*.f64 (*.f64 x x) (fma.f64 -1/6 x -1/2))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))) x)
(-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/6 x))) x)
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/6 x -1/2)) x)
(*.f64 x (fma.f64 x (fma.f64 -1/6 x -1/2) -1))
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))) -1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (fma.f64 x -1 -1)))
(fma.f64 -1/6 (pow.f64 x 3) (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x))
(fma.f64 (*.f64 x x) (fma.f64 -1/6 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x (fma.f64 -1/6 x -1/2) -1) -1)

eval240.0ms (2%)

Compiler

Compiled 7944 to 5464 computations (31.2% saved)

prune113.0ms (0.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New4103413
Fresh101
Picked101
Done145
Total4137420
Error
0b
Counts
420 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
1.4b
-1
✓0.1b
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
▶0.1b
(+.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 -1/2))) (-.f64 -1 x))
✓0.5b
(-.f64 -1 x)
▶0.1b
(-.f64 -1 (-.f64 x (*.f64 x (*.f64 x -1/2))))
✓0.0b
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓0.0b
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
Compiler

Compiled 64 to 47 computations (26.6% saved)

localize37.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 -1/2))) (-.f64 -1 x))
✓0.0b
(*.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)))
✓0.0b
(*.f64 x (fma.f64 x -1/6 -1/2))
Compiler

Compiled 38 to 26 computations (31.6% saved)

series7.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(*.f64 x (fma.f64 x -1/6 -1/2))
2.0ms
x
@0
(*.f64 x (fma.f64 x -1/6 -1/2))
1.0ms
x
@-inf
(*.f64 x (fma.f64 x -1/6 -1/2))
0.0ms
x
@0
(*.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)))
0.0ms
x
@inf
(*.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)))

rewrite83.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
497×log-prod_binary64
422×fma-def_binary64
371×exp-prod_binary64
345×pow-prod-down_binary64
283×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01034
122334
2296634
Stop Event
1×node limit
Counts
3 → 139
Calls
Call 1
Inputs
(*.f64 x (fma.f64 x -1/6 -1/2))
(*.f64 x (*.f64 x (fma.f64 x -1/6 -1/2)))
(+.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 -1/2))) (-.f64 -1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (fma.f64 x -1/6 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -1/6) x) (*.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -1/6)) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/6 -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x -1/6 -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 -1/2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/6 -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/6 -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 x (fma.f64 x -1/6 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (fma.f64 x -1/6 -1/2)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (fma.f64 x -1/6 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (fma.f64 x -1/6 -1/2))))) (sqrt.f64 (log.f64 (*.f64 x (fma.f64 x -1/6 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -1/6 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/6 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/6 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/6 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x -1/6 -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (fma.f64 x -1/6 -1/2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/6 -1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/6 -1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x -1/6 -1/2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x -1/6) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -1/6) x (*.f64 -1/2 x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 x -1/6 -1/2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -1/6) (*.f64 x x)) (*.f64 -1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) (*.f64 (*.f64 x x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -1/6 -1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -1/6 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -1/6 -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -1/6 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x -1/6 -1/2) (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x -1/6 -1/2) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x -1/6 -1/2) (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (fma.f64 x -1/6 -1/2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (fma.f64 x -1/6 -1/2)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (fma.f64 x -1/6 -1/2) (*.f64 x x)))) 2)) (cbrt.f64 (log.f64 (*.f64 (fma.f64 x -1/6 -1/2) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (fma.f64 x -1/6 -1/2) (*.f64 x x))))) (sqrt.f64 (log.f64 (*.f64 (fma.f64 x -1/6 -1/2) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -1/6 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x -1/6 -1/2) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x -1/6 -1/2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x -1/6 -1/2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x -1/6 -1/2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x -1/6 -1/2) (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (fma.f64 x -1/6 -1/2) (*.f64 x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x -1/6 -1/2) (*.f64 x x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x -1/6 -1/2) (*.f64 x x))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 x -1/6) (*.f64 (*.f64 x x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -1/6) (*.f64 x x) (*.f64 -1/2 (*.f64 x x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 x (*.f64 (fma.f64 x -1/6 -1/2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (fma.f64 x -1/6 -1/2) (*.f64 x x) -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (fma.f64 x -1/6 -1/2) (*.f64 x x) (-.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 -1/2))) 4) (+.f64 (fma.f64 (fma.f64 x -1/6 -1/2) (*.f64 x x) 1) x)) (/.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 (fma.f64 (fma.f64 x -1/6 -1/2) (*.f64 x x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (fma.f64 x -1/6 -1/2) (*.f64 x x) (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (fma.f64 x -1/6 -1/2) (*.f64 x x) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (fma.f64 x -1/6 -1/2) (*.f64 x x) (-.f64 -1 x))) (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 x -1/6 -1/2) (*.f64 x x) (-.f64 -1 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simplify79.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
824×distribute-rgt-neg-in_binary64
715×distribute-lft-neg-in_binary64
560×associate-*l*_binary64
536×unswap-sqr_binary64
471×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
022419
157415
2122388
3370333
41167323
54102323
67841323
Stop Event
1×node limit
Counts
175 → 158
Calls
Call 1
Inputs
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
(*.f64 -1/6 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
(*.f64 -1/6 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
Outputs
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
(fma.f64 -1/2 x (*.f64 -1/6 (*.f64 x x)))
(fma.f64 -1/2 x (*.f64 x (*.f64 x -1/6)))
(*.f64 x (+.f64 -1/2 (*.f64 x -1/6)))
(*.f64 x (fma.f64 x -1/6 -1/2))
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
(fma.f64 -1/2 x (*.f64 -1/6 (*.f64 x x)))
(fma.f64 -1/2 x (*.f64 x (*.f64 x -1/6)))
(*.f64 x (+.f64 -1/2 (*.f64 x -1/6)))
(*.f64 x (fma.f64 x -1/6 -1/2))
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
(fma.f64 -1/2 x (*.f64 -1/6 (*.f64 x x)))
(fma.f64 -1/2 x (*.f64 x (*.f64 x -1/6)))
(*.f64 x (+.f64 -1/2 (*.f64 x -1/6)))
(*.f64 x (fma.f64 x -1/6 -1/2))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
(fma.f64 -1/2 x (*.f64 -1/6 (*.f64 x x)))
(fma.f64 -1/2 x (*.f64 x (*.f64 x -1/6)))
(*.f64 x (+.f64 -1/2 (*.f64 x -1/6)))
(*.f64 x (fma.f64 x -1/6 -1/2))
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
(fma.f64 -1/2 x (*.f64 -1/6 (*.f64 x x)))
(fma.f64 -1/2 x (*.f64 x (*.f64 x -1/6)))
(*.f64 x (+.f64 -1/2 (*.f64 x -1/6)))
(*.f64 x (fma.f64 x -1/6 -1/2))
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
(fma.f64 -1/2 x (*.f64 -1/6 (*.f64 x x)))
(fma.f64 -1/2 x (*.f64 x (*.f64 x -1/6)))
(*.f64 x (+.f64 -1/2 (*.f64 x -1/6)))
(*.f64 x (fma.f64 x -1/6 -1/2))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 x -1/6))
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
(fma.f64 -1/2 x (*.f64 -1/6 (*.f64 x x)))
(fma.f64 -1/2 x (*.f64 x (*.f64 x -1/6)))
(*.f64 x (+.f64 -1/2 (*.f64 x -1/6)))
(*.f64 x (fma.f64 x -1/6 -1/2))
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
(fma.f64 -1/2 x (*.f64 -1/6 (*.f64 x x)))
(fma.f64 -1/2 x (*.f64 x (*.f64 x -1/6)))
(*.f64 x (+.f64 -1/2 (*.f64 x -1/6)))
(*.f64 x (fma.f64 x -1/6 -1/2))
(+.f64 (*.f64 -1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
(fma.f64 -1/2 x (*.f64 -1/6 (*.f64 x x)))
(fma.f64 -1/2 x (*.f64 x (*.f64 x -1/6)))
(*.f64 x (+.f64 -1/2 (*.f64 x -1/6)))
(*.f64 x (fma.f64 x -1/6 -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -1/6 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/6)))
(*.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -1/6 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/6)))
(*.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -1/6 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/6)))
(*.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -1/6 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/6)))
(*.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -1/6 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/6)))
(*.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -1/6 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/6)))
(*.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -1/6 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/6)))
(*.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -1/6 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/6)))
(*.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -1/6 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/6)))
(*.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 x -1 -1))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 -1/2 x -1) -1)
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))) -1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (fma.f64 x -1 -1)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)))
(fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x (fma.f64 x -1/6 -1/2) -1) -1)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -1/6 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/6)))
(*.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/6 (pow.f64 x 3))) x)
(-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/6))) x)
(-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2)) x)
(*.f64 x (fma.f64 x (fma.f64 x -1/6 -1/2) -1))
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))) -1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (fma.f64 x -1 -1)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)))
(fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x (fma.f64 x -1/6 -1/2) -1) -1)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -1/6 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/6)))
(*.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/6 (pow.f64 x 3))) x)
(-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/6))) x)
(-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2)) x)
(*.f64 x (fma.f64 x (fma.f64 x -1/6 -1/2) -1))
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))) -1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (fma.f64 x -1 -1)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)))
(fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x (fma.f64 x -1/6 -1/2) -1) -1)

localize11.0ms (0.1%)

Compiler

Compiled 28 to 18 computations (35.7% saved)

eval64.0ms (0.5%)

Compiler

Compiled 2823 to 1936 computations (31.4% saved)

prune55.0ms (0.5%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New1571158
Fresh011
Picked011
Done145
Total1587165
Error
0b
Counts
165 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
1.4b
-1
✓0.1b
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
0.1b
(+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x -1/6) x) (*.f64 -1/2 x))) (-.f64 -1 x))
✓0.5b
(-.f64 -1 x)
✓0.1b
(-.f64 -1 (-.f64 x (*.f64 x (*.f64 x -1/2))))
✓0.0b
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓0.0b
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
Compiler

Compiled 67 to 49 computations (26.9% saved)

regimes179.0ms (1.5%)

Counts
17 → 1
Calls
Call 1
Inputs
-1
-1
-1
(-.f64 -1 x)
(-.f64 -1 (-.f64 x (*.f64 x (*.f64 x -1/2))))
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1 x)) 1)
(+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x -1/6) x) (*.f64 -1/2 x))) (-.f64 -1 x))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 -1/2))) (-.f64 -1 x))
(-.f64 (fma.f64 (*.f64 x x) (+.f64 (*.f64 x -1/6) -1/2) -1) x)
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log.f64 (+.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
Outputs
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
Calls

3 calls:

161.0ms
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
9.0ms
x
4.0ms
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
0.0b1(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Compiler

Compiled 181 to 129 computations (28.7% saved)

regimes12.0ms (0.1%)

Counts
13 → 1
Calls
Call 1
Inputs
-1
-1
-1
(-.f64 -1 x)
(-.f64 -1 (-.f64 x (*.f64 x (*.f64 x -1/2))))
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1 x)) 1)
(+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x -1/6) x) (*.f64 -1/2 x))) (-.f64 -1 x))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 -1/2))) (-.f64 -1 x))
(-.f64 (fma.f64 (*.f64 x x) (+.f64 (*.f64 x -1/6) -1/2) -1) x)
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log.f64 (+.f64 1 x)))
Outputs
(-.f64 (fma.f64 (*.f64 x x) (+.f64 (*.f64 x -1/6) -1/2) -1) x)
Calls

1 calls:

8.0ms
x
Results
ErrorSegmentsBranch
0.1b1x
Compiler

Compiled 112 to 76 computations (32.1% saved)

regimes10.0ms (0.1%)

Counts
11 → 1
Calls
Call 1
Inputs
-1
-1
-1
(-.f64 -1 x)
(-.f64 -1 (-.f64 x (*.f64 x (*.f64 x -1/2))))
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1 x)) 1)
(+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x -1/6) x) (*.f64 -1/2 x))) (-.f64 -1 x))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 -1/2))) (-.f64 -1 x))
Outputs
(+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x -1/6) x) (*.f64 -1/2 x))) (-.f64 -1 x))
Calls

1 calls:

7.0ms
x
Results
ErrorSegmentsBranch
0.1b1x
Compiler

Compiled 84 to 59 computations (29.8% saved)

regimes7.0ms (0.1%)

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

1 calls:

6.0ms
x
Results
ErrorSegmentsBranch
0.1b1x
Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes5.0ms (0%)

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

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
0.5b1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
3 → 1
Calls
Call 1
Inputs
-1
-1
-1
Outputs
-1
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
1.4b1x
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify18.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
53×cancel-sign-sub-inv_binary64
49×distribute-rgt-neg-in_binary64
34×distribute-lft-neg-out_binary64
30×distribute-rgt-neg-out_binary64
29×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03081
15779
27779
310579
413479
518379
625879
732279
837979
941279
1041779
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(-.f64 (fma.f64 (*.f64 x x) (+.f64 (*.f64 x -1/6) -1/2) -1) x)
(+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x -1/6) x) (*.f64 -1/2 x))) (-.f64 -1 x))
(-.f64 -1 (-.f64 x (*.f64 x (*.f64 x -1/2))))
(-.f64 -1 x)
-1
Outputs
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 (*.f64 -5/12 (pow.f64 x 3)) (neg.f64 x))) -1)
(+.f64 -1 (+.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -5/12 (pow.f64 x 3)) x)))
(-.f64 (fma.f64 (*.f64 x x) (+.f64 (*.f64 x -1/6) -1/2) -1) x)
(-.f64 (fma.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/6)) -1) x)
(+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x -1/6) x) (*.f64 -1/2 x))) (-.f64 -1 x))
(+.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 x -1/6)) (*.f64 -1/2 x))) (-.f64 -1 x))
(-.f64 -1 (-.f64 x (*.f64 x (*.f64 x -1/2))))
(-.f64 -1 (-.f64 x (*.f64 x (*.f64 -1/2 x))))
(-.f64 -1 (+.f64 x (*.f64 x (*.f64 x 1/2))))
(+.f64 -1 (-.f64 (*.f64 x (*.f64 -1/2 x)) x))
(-.f64 -1 x)
-1
Compiler

Compiled 61 to 44 computations (27.9% saved)

soundness0.0ms (0%)

end59.0ms (0.5%)

Compiler

Compiled 56 to 38 computations (32.1% saved)

Profiling

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