Details

Time bar (total: 6.6s)

analyze176.0ms (2.7%)

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

Compiled 11 to 8 computations (27.3% saved)

sample3.0s (46%)

Results
1.7s8256×body256valid
1.2s7269×body256infinite
192.0ms1052×body256invalid
Bogosity

preprocess141.0ms (2.1%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 11 to 8 computations (27.3% saved)

simplify130.0ms (2%)

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

Useful iterations: 0 (0.0ms)

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

eval1.0ms (0%)

Compiler

Compiled 18 to 12 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
31.3b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶31.3b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Compiler

Compiled 10 to 7 computations (30% saved)

localize18.0ms (0.3%)

Local error

Found 6 expressions with local error:

NewErrorProgram
29.0b
(sqrt.f64 (-.f64 (*.f64 x x) 1))
0.0b
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
0.0b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓0.0b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓0.0b
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
✓29.0b
(sqrt.f64 (-.f64 (*.f64 x x) 1))
Compiler

Compiled 34 to 17 computations (50% saved)

series7.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite122.0ms (1.9%)

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

Useful iterations: 0 (0.0ms)

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

simplify53.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
521×associate-*r*_binary64
483×associate-*l/_binary64
481×associate-*l*_binary64
413×associate-*r/_binary64
286×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0111680
1313648
2920636
33028636
Stop Event
1×node limit
Counts
116 → 144
Calls
Call 1
Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) x)
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x)))
(*.f64 2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(/.f64 1/2 x)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))))
(+.f64 (*.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
Outputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (/.f64 (*.f64 1/2 (*.f64 x x)) (sqrt.f64 -1)))
(fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (sqrt.f64 -1))
(fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (sqrt.f64 -1) (/.f64 (*.f64 1/2 (*.f64 x x)) (sqrt.f64 -1))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))))
(fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (sqrt.f64 -1)))
(fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (sqrt.f64 -1)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (/.f64 (*.f64 1/16 (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5)))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (sqrt.f64 -1)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 -1))))
(fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 -1))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (/.f64 1/2 x))
(+.f64 x (/.f64 -1/2 x))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 -1/2 x) (-.f64 x (/.f64 1/8 (pow.f64 x 3))))
(-.f64 (/.f64 -1/2 x) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(-.f64 x (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5)))))
(-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 x (-.f64 (-.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (-.f64 (/.f64 -1/2 x) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x)) (/.f64 1/16 (pow.f64 x 5)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 1/2 x))
(-.f64 (/.f64 1/2 x) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 x)))
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 x))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x)))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/16 (pow.f64 x 5)) x)))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) x)
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) x))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) x))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x)))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) x)))
(+.f64 (sqrt.f64 -1) (+.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) x) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) x)))
(+.f64 (sqrt.f64 -1) (fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) x)))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (*.f64 x 2) (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(+.f64 (/.f64 -1/2 x) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5)))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 -1/16 (pow.f64 x 5))))
(/.f64 1/2 x)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 5/128 (pow.f64 x 7))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 5/128 (pow.f64 x 7)))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7)))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))) (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1))))
(+.f64 (/.f64 x (sqrt.f64 -1)) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))))
(+.f64 (*.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))))
(fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))) (fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (+.f64 (/.f64 x (sqrt.f64 -1)) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 (log.f64 2) (log.f64 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (log.f64 x) (/.f64 -1/4 (*.f64 x x))) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(-.f64 (-.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (+.f64 (+.f64 (log.f64 2) (/.f64 -1/4 (*.f64 x x))) (/.f64 -3/32 (pow.f64 x 4))) (-.f64 (log.f64 x) (/.f64 5/96 (pow.f64 x 6))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))) (/.f64 -5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 -1/2)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (log.f64 -1/2) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 -1/2) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))) (log.f64 -1/2)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 5/96 (pow.f64 x 6))) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 -1/2))))
(+.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 -1/2))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 -1/2)))))

eval82.0ms (1.2%)

Compiler

Compiled 2203 to 1638 computations (25.6% saved)

prune23.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1395144
Fresh000
Picked011
Done000
Total1396145
Error
0b
Counts
145 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓31.3b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶0.2b
(log.f64 (-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))))
▶31.3b
(log.f64 (+.f64 x (-.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) 1)))
▶0.6b
(log.f64 (-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
▶0.6b
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
▶1.1b
(log.f64 (+.f64 x x))
Compiler

Compiled 140 to 109 computations (22.1% saved)

localize138.0ms (2.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.7b
(/.f64 1 (pow.f64 x 3))
0.2b
(/.f64 1 (pow.f64 x 5))
0.0b
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
0.0b
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
✓0.0b
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
✓0.0b
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
✓0.2b
(/.f64 1 (pow.f64 x 5))
✓0.7b
(/.f64 1 (pow.f64 x 3))
Compiler

Compiled 137 to 114 computations (16.8% saved)

series6.0ms (0.1%)

Counts
4 → 13
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 1 (pow.f64 x 3))
1.0ms
x
@0
(/.f64 1 (pow.f64 x 5))
1.0ms
x
@inf
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
0.0ms
x
@0
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
0.0ms
x
@-inf
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))

rewrite100.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
685×fma-def_binary64
372×fma-neg_binary64
310×expm1-udef_binary64
310×log1p-udef_binary64
260×log-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01842
141642
2521540
Stop Event
1×node limit
Counts
4 → 223
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 x 3))
(/.f64 1 (pow.f64 x 5))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3/2) (pow.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x x)) -3) (pow.f64 (cbrt.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 3/2) -1) (pow.f64 (pow.f64 x 3/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -2) 1) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -1/2)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -3 (log.f64 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -5)) (cbrt.f64 (pow.f64 x -10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -10)) (cbrt.f64 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -5/2) (pow.f64 x -5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x x)) -5) (pow.f64 (cbrt.f64 x) -5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) -5) (pow.f64 (sqrt.f64 x) -5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x 10)) -1) (pow.f64 (cbrt.f64 (pow.f64 x 5)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 5/2) -1) (pow.f64 (pow.f64 x 5/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -5)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 5) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -5) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -5)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -5/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -10))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -5))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -5) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -5 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) -5))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 5 (log.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -5 (log.f64 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x -3) 1/8 (fma.f64 (pow.f64 x -5) 1/16 (/.f64 1/2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (/.f64 1/2 x) (fma.f64 (pow.f64 x -3) 1/8 (*.f64 (pow.f64 x -5) 1/16)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x -3) 1/8 (*.f64 (pow.f64 x -5) 1/16)) 2) (-.f64 (/.f64 1/2 x) (fma.f64 (pow.f64 x -3) 1/8 (*.f64 (pow.f64 x -5) 1/16)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 x -3) 1/8 (fma.f64 (pow.f64 x -5) 1/16 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x -3) 1/8 (fma.f64 (pow.f64 x -5) 1/16 (/.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (fma.f64 (pow.f64 x -5) 1/16 (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x -3) 1/8 (fma.f64 (pow.f64 x -5) 1/16 (/.f64 1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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(*.f64 1/64 (pow.f64 x -6))) (/.f64 1/128 (*.f64 (pow.f64 x 5) (pow.f64 x 3)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 (/.f64 1/256 (pow.f64 x 10)) (*.f64 1/64 (pow.f64 x -6))) x (*.f64 (fma.f64 (pow.f64 x -5) 1/16 (*.f64 -1/8 (pow.f64 x -3))) 1/2)) (*.f64 (fma.f64 (pow.f64 x -5) 1/16 (*.f64 -1/8 (pow.f64 x -3))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x -5) 1/16 (/.f64 1/2 x)) 3) (*.f64 1/512 (pow.f64 (pow.f64 x -3) 3))) (fma.f64 (fma.f64 (pow.f64 x -5) 1/16 (/.f64 1/2 x)) (fma.f64 (pow.f64 x -5) 1/16 (/.f64 1/2 x)) (-.f64 (*.f64 1/64 (pow.f64 x -6)) (*.f64 (fma.f64 (pow.f64 x -5) 1/16 (/.f64 1/2 x)) (*.f64 (pow.f64 x -3) 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 x -3) 1/8 (*.f64 (pow.f64 x -5) 1/16)) 2) (/.f64 1/4 (*.f64 x x))) (-.f64 (fma.f64 (pow.f64 x -3) 1/8 (*.f64 (pow.f64 x -5) 1/16)) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -3) 1/8))) (pow.f64 (exp.f64 (pow.f64 x -5)) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1/8) (pow.f64 x -3)) (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -5) 1/16)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -3) 1/8))) (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -5) 1/16)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x -3) 1/8 (*.f64 (pow.f64 x -5) 1/16)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x -3) 1/8 (*.f64 (pow.f64 x -5) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x -3) 1/8 (*.f64 (pow.f64 x -5) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (pow.f64 x -3) 1/8 (*.f64 (pow.f64 x -5) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x -3) 1/8 (*.f64 (pow.f64 x -5) 1/16))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (pow.f64 x -5) 1/16) (*.f64 (pow.f64 x -3) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (pow.f64 x -3) 1/8) (*.f64 (pow.f64 x -5) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -3) 1/8 (*.f64 (pow.f64 x -5) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -5) 1/16 (*.f64 (pow.f64 x -3) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 x) (/.f64 1/4 (*.f64 x x)) (*.f64 (pow.f64 x -5) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/16 (pow.f64 x -5) (*.f64 (pow.f64 x -3) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x -5) 1/16) 1 (*.f64 (pow.f64 x -3) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/8 (pow.f64 x -3) (*.f64 (pow.f64 x -5) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x -3) 1/8) 1 (*.f64 (pow.f64 x -5) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/2 x) (*.f64 (pow.f64 x -5) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -1) 1/8) (*.f64 (pow.f64 x -5) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -10)) (*.f64 (cbrt.f64 (pow.f64 x -5)) 1/16) (*.f64 (pow.f64 x -3) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x -5) 1/16)) (cbrt.f64 (/.f64 1/256 (pow.f64 x 10))) (*.f64 (pow.f64 x -3) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/256 (pow.f64 x 10))) (cbrt.f64 (*.f64 (pow.f64 x -5) 1/16)) (*.f64 (pow.f64 x -3) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -5/2) (*.f64 (pow.f64 x -5/2) 1/16) (*.f64 (pow.f64 x -3) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -3/2) (*.f64 (pow.f64 x -3/2) 1/8) (*.f64 (pow.f64 x -5) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/4 (pow.f64 x 5/2)) (/.f64 1/4 (pow.f64 x 5/2)) (*.f64 (pow.f64 x -3) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 x -3/2)) (*.f64 (sqrt.f64 1/8) (pow.f64 x -3/2)) (*.f64 (pow.f64 x -5) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x x))) 3) (/.f64 1/2 x) (*.f64 (pow.f64 x -5) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (/.f64 1/2 x)) 3) (pow.f64 (sqrt.f64 (/.f64 1/2 x)) 3) (*.f64 (pow.f64 x -5) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 1/2 x) 3/2) (pow.f64 (/.f64 1/2 x) 3/2) (*.f64 (pow.f64 x -5) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/4 (*.f64 x x)) 1/2) (pow.f64 x -1) (*.f64 (pow.f64 x -5) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/16 (cbrt.f64 (pow.f64 x -10))) (cbrt.f64 (pow.f64 x -5)) (*.f64 (pow.f64 x -3) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/16 (pow.f64 x -5/2)) (pow.f64 x -5/2) (*.f64 (pow.f64 x -3) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/4 (*.f64 x x)) 1) (/.f64 1/2 x) (*.f64 (pow.f64 x -5) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/4 (*.f64 x x)) (pow.f64 x -1)) 1/2 (*.f64 (pow.f64 x -5) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/4 (*.f64 x x)) (cbrt.f64 (/.f64 1/4 (*.f64 x x)))) (cbrt.f64 (/.f64 1/2 x)) (*.f64 (pow.f64 x -5) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/4 (*.f64 x x)) (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (*.f64 (pow.f64 x -5) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/8 (pow.f64 x -2)) (pow.f64 x -1) (*.f64 (pow.f64 x -5) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/8 (pow.f64 x -3/2)) (pow.f64 x -3/2) (*.f64 (pow.f64 x -5) 1/16))))))

simplify103.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1202×associate-/r/_binary64
724×unswap-sqr_binary64
503×associate-/l/_binary64
500×sqr-pow_binary64
499×associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022166
149166
290166
3154166
4302166
5920166
64048166
75536166
85739166
96025166
106345166
116843166
Stop Event
1×node limit
Counts
236 → 232
Calls
Call 1
Inputs
(/.f64 1/16 (pow.f64 x 5))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 1/2 x)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(/.f64 1/2 x)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(/.f64 1/16 (pow.f64 x 5))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
Outputs
(/.f64 1/16 (pow.f64 x 5))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/8 (pow.f64 x 3)))
(/.f64 1/2 x)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x)))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x)))
(/.f64 1/2 x)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x)))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x)))
(/.f64 1/16 (pow.f64 x 5))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))

localize5.0ms (0.1%)

Compiler

Compiled 9 to 3 computations (66.7% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 26 to 16 computations (38.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite63.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
933×pow1_binary64
880×add-log-exp_binary64
879×log1p-expm1-u_binary64
879×expm1-log1p-u_binary64
864×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
114910
2232010
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(+.f64 x (+.f64 x (/.f64 -1/2 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (+.f64 x (/.f64 -1/2 x)))) (/.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (-.f64 x (+.f64 x (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (+.f64 x (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2) (cbrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)) (/.f64 1 (-.f64 x (+.f64 x (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (+.f64 x (/.f64 -1/2 x))) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3)) (fma.f64 x x (*.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3)) (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (-.f64 (*.f64 x x) (*.f64 x (+.f64 x (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)) (-.f64 x (+.f64 x (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (neg.f64 (-.f64 x (+.f64 x (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x x) 3) (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (-.f64 (pow.f64 (/.f64 -1/2 x) 2) (*.f64 (+.f64 x x) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (*.f64 x x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (pow.f64 (/.f64 -1/2 x) 2)) (-.f64 (+.f64 x x) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (+.f64 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (/.f64 -1/2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (/.f64 -1/2 x))) (sqrt.f64 (+.f64 x (/.f64 -1/2 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x (/.f64 -1/2 x)))))))

simplify28.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
120×fma-def_binary64
71×fma-neg_binary64
30×associate-/r*_binary64
30×cancel-sign-sub-inv_binary64
23×associate-/l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
011102
12384
23784
35484
47984
511684
618484
725384
833484
944884
1056984
1157984
Stop Event
1×saturated
Counts
47 → 40
Calls
Call 1
Inputs
(/.f64 -1/2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
Outputs
(/.f64 -1/2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))

localize18.0ms (0.3%)

Compiler

Compiled 35 to 27 computations (22.9% saved)

localize27.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
29.0b
(sqrt.f64 (fma.f64 x x -1))
0.0b
(+.f64 x (-.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) 1))
0.0b
(-.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) 1)
0.0b
(log.f64 (+.f64 x (-.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) 1)))
✓0.0b
(log.f64 (+.f64 x (-.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) 1)))
✓0.0b
(-.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) 1)
✓0.0b
(+.f64 x (-.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) 1))
✓29.0b
(sqrt.f64 (fma.f64 x x -1))
Compiler

Compiled 52 to 37 computations (28.8% saved)

series5.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(sqrt.f64 (fma.f64 x x -1))
0.0ms
x
@0
(+.f64 x (-.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) 1))
0.0ms
x
@-inf
(log.f64 (+.f64 x (-.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) 1)))
0.0ms
x
@inf
(log.f64 (+.f64 x (-.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) 1)))
0.0ms
x
@-inf
(sqrt.f64 (fma.f64 x x -1))

rewrite135.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
630×unpow-prod-down_binary64
583×fma-def_binary64
397×log-prod_binary64
315×fma-neg_binary64
248×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01048
121836
2317236
Stop Event
1×node limit
Counts
4 → 332
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 x x -1))
(+.f64 x (-.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) 1))
(-.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) 1)
(log.f64 (+.f64 x (-.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (fma.f64 x x -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1) 3) (+.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1) 2) (+.f64 (sqrt.f64 (fma.f64 x x -1)) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1) 2) (+.f64 (sqrt.f64 (fma.f64 x x -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1) 2) (+.f64 (sqrt.f64 (fma.f64 x x -1)) 2)) (/.f64 1 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -1)) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x -1) 1/6) (pow.f64 (*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (sqrt.f64 (fma.f64 x x -1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1) 2) (+.f64 (sqrt.f64 (fma.f64 x x -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))) 3)) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1) 2) (+.f64 (sqrt.f64 (fma.f64 x x -1)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))) (/.f64 1 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (pow.f64 (*.f64 (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (pow.f64 (fma.f64 x x -1) 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 (fma.f64 x x -1) 1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 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(sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2) 3) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x (neg.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))))))

simplify58.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
521×associate-*r*_binary64
483×associate-*l/_binary64
481×associate-*l*_binary64
413×associate-*r/_binary64
286×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0111884
1313841
2920823
33028823
Stop Event
1×node limit
Counts
380 → 310
Calls
Call 1
Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) x)
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x)))
(*.f64 2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(/.f64 1/2 x)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))))
(+.f64 (*.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
Outputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (/.f64 (*.f64 1/2 (*.f64 x x)) (sqrt.f64 -1)))
(fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (sqrt.f64 -1))
(fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (sqrt.f64 -1) (/.f64 (*.f64 1/2 (*.f64 x x)) (sqrt.f64 -1))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))))
(fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (sqrt.f64 -1)))
(fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (sqrt.f64 -1)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (/.f64 (*.f64 1/16 (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5)))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (sqrt.f64 -1)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 -1))))
(fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 -1))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (/.f64 1/2 x))
(+.f64 x (/.f64 -1/2 x))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 -1/2 x) (-.f64 x (/.f64 1/8 (pow.f64 x 3))))
(-.f64 (/.f64 -1/2 x) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(-.f64 x (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5)))))
(-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 x (-.f64 (-.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (-.f64 (/.f64 -1/2 x) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x)) (/.f64 1/16 (pow.f64 x 5)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 1/2 x))
(-.f64 (/.f64 1/2 x) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 x)))
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 x))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x)))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/16 (pow.f64 x 5)) x)))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) x)
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) x))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) x))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x)))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) x)))
(+.f64 (sqrt.f64 -1) (+.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) x) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) x)))
(+.f64 (sqrt.f64 -1) (fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) x)))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (*.f64 x 2) (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(+.f64 (/.f64 -1/2 x) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5)))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 -1/16 (pow.f64 x 5))))
(/.f64 1/2 x)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 5/128 (pow.f64 x 7))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 5/128 (pow.f64 x 7)))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (/.f64 (*.f64 1/2 (*.f64 x x)) (sqrt.f64 -1)))
(fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (sqrt.f64 -1))
(fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (sqrt.f64 -1) (/.f64 (*.f64 1/2 (*.f64 x x)) (sqrt.f64 -1))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))))
(fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (sqrt.f64 -1)))
(fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (sqrt.f64 -1)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (/.f64 (*.f64 1/16 (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5)))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (sqrt.f64 -1)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 -1))))
(fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 -1))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (/.f64 1/2 x))
(+.f64 x (/.f64 -1/2 x))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 -1/2 x) (-.f64 x (/.f64 1/8 (pow.f64 x 3))))
(-.f64 (/.f64 -1/2 x) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(-.f64 x (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5)))))
(-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 x (-.f64 (-.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (-.f64 (/.f64 -1/2 x) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x)) (/.f64 1/16 (pow.f64 x 5)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 1/2 x))
(-.f64 (/.f64 1/2 x) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 x)))
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 x))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x)))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/16 (pow.f64 x 5)) x)))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))) (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1))))
(+.f64 (/.f64 x (sqrt.f64 -1)) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))))
(+.f64 (*.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))))
(fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))) (fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (+.f64 (/.f64 x (sqrt.f64 -1)) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 (log.f64 2) (log.f64 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (log.f64 x) (/.f64 -1/4 (*.f64 x x))) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(-.f64 (-.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (+.f64 (+.f64 (log.f64 2) (/.f64 -1/4 (*.f64 x x))) (/.f64 -3/32 (pow.f64 x 4))) (-.f64 (log.f64 x) (/.f64 5/96 (pow.f64 x 6))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))) (/.f64 -5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 -1/2)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (log.f64 -1/2) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 -1/2) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))) (log.f64 -1/2)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 5/96 (pow.f64 x 6))) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 -1/2))))
(+.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 -1/2))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 -1/2)))))

eval971.0ms (14.7%)

Compiler

Compiled 13309 to 10363 computations (22.1% saved)

prune77.0ms (1.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New5802582
Fresh000
Picked011
Done325
Total5835588
Error
0b
Counts
588 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
✓31.3b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶0.6b
(log.f64 (-.f64 (*.f64 2 x) (/.f64 1/2 x)))
✓31.3b
(log.f64 (+.f64 x (-.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) 1)))
✓1.1b
(log.f64 (+.f64 x x))
▶0.2b
(log.f64 (-.f64 (*.f64 2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x)))))
Compiler

Compiled 58 to 44 computations (24.1% saved)

localize41.0ms (0.6%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.6b
(/.f64 1/8 (pow.f64 x 3))
0.2b
(/.f64 1/16 (pow.f64 x 5))
0.0b
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x)))
0.0b
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x))
✓0.0b
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x))
✓0.0b
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x)))
✓0.2b
(/.f64 1/16 (pow.f64 x 5))
✓0.6b
(/.f64 1/8 (pow.f64 x 3))
Compiler

Compiled 93 to 73 computations (21.5% saved)

series5.0ms (0.1%)

Counts
4 → 24
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 1/16 (pow.f64 x 5))
1.0ms
x
@0
(/.f64 1/8 (pow.f64 x 3))
0.0ms
x
@inf
(/.f64 1/8 (pow.f64 x 3))
0.0ms
x
@-inf
(/.f64 1/16 (pow.f64 x 5))
0.0ms
x
@inf
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x))

rewrite105.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
675×fma-def_binary64
374×fma-neg_binary64
314×log-div_binary64
275×expm1-udef_binary64
275×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01449
134143
2481643
Stop Event
1×node limit
Counts
4 → 233
Calls
Call 1
Inputs
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/16 (pow.f64 x 5))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (pow.f64 (/.f64 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/8 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (/.f64 1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/8 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/8 (/.f64 1 (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x x))) 3) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 1/2 x)) 3) (pow.f64 (sqrt.f64 (/.f64 1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/2 x) 3/2) (pow.f64 (/.f64 1/2 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/4 (*.f64 x x)) 1/2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/4 (*.f64 x x)) 1) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/4 (*.f64 x x)) (cbrt.f64 (/.f64 1/4 (*.f64 x x)))) (cbrt.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/4 (*.f64 x x)) (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/512 (pow.f64 (pow.f64 x -3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 8) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/64 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/8) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/8 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/512 (pow.f64 (pow.f64 x -3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/8 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/8 (pow.f64 x -3))) 1))))))
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1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/16 (pow.f64 x -5) (/.f64 1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/16 (pow.f64 x -5) (/.f64 1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/16 (pow.f64 x -5) (/.f64 1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/16 (pow.f64 x -5) (/.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/16 (pow.f64 x -5) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/16 (pow.f64 x -5) (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/16 (pow.f64 x -5)))) (exp.f64 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1/16) (pow.f64 x -5)) (+.f64 1 (expm1.f64 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/16 (pow.f64 x -5)))) (+.f64 1 (expm1.f64 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 x))) (pow.f64 (exp.f64 1/16) (pow.f64 x -5))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 1/2 x)) (+.f64 1 (expm1.f64 (*.f64 1/16 (pow.f64 x -5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 x))) (+.f64 1 (expm1.f64 (*.f64 1/16 (pow.f64 x -5))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/16 (pow.f64 x -5) (/.f64 1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/16 (pow.f64 x -5) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/16 (pow.f64 x -5) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/16 (pow.f64 x -5) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/16 (pow.f64 x -5) (/.f64 1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/16 (pow.f64 x -5) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/16 (pow.f64 x -5)) 1 (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 1 x) (*.f64 1/16 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (cbrt.f64 (pow.f64 x -3)) (*.f64 1/16 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 x) 1 (*.f64 1/16 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/16 (pow.f64 x -5)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1/2 x) (*.f64 1/16 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (*.f64 1/16 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (cbrt.f64 (/.f64 1/2 x)) (*.f64 1/16 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x -5))) (cbrt.f64 (/.f64 1/256 (pow.f64 x 10))) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/256 (pow.f64 x 10))) (cbrt.f64 (*.f64 1/16 (pow.f64 x -5))) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) (*.f64 1/16 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/4 (pow.f64 x 5/2)) (/.f64 1/4 (pow.f64 x 5/2)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/16 (/.f64 1 (neg.f64 (pow.f64 x 5))) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (/.f64 1 (neg.f64 x)) (*.f64 1/16 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -5) 1/16 (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 1/2 (*.f64 1/16 (pow.f64 x -5)))))))

simplify107.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1167×associate-/r/_binary64
724×unswap-sqr_binary64
503×associate-/l/_binary64
500×sqr-pow_binary64
499×associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023321
155321
295321
3150321
4298321
5912321
64033321
75521321
85724321
96011321
106331321
116829321
Stop Event
1×node limit
Counts
257 → 244
Calls
Call 1
Inputs
(/.f64 1/16 (pow.f64 x 5))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(/.f64 1/2 x)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(/.f64 1/2 x)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(/.f64 1/16 (pow.f64 x 5))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 x)
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 x)
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))
Outputs
(/.f64 1/16 (pow.f64 x 5))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
(/.f64 1/2 x)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
(/.f64 1/2 x)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
(/.f64 1/16 (pow.f64 x 5))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x))
(/.f64 1/2 x)
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x))
(/.f64 1/2 x)
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x))

localize13.0ms (0.2%)

Compiler

Compiled 25 to 18 computations (28% saved)

eval148.0ms (2.2%)

Compiler

Compiled 6702 to 5326 computations (20.5% saved)

prune28.0ms (0.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New2431244
Fresh000
Picked011
Done134
Total2445249
Error
0b
Counts
249 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
✓31.3b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓0.6b
(log.f64 (-.f64 (*.f64 2 x) (/.f64 1/2 x)))
✓31.3b
(log.f64 (+.f64 x (-.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) 1)))
▶0.2b
(log.f64 (-.f64 (*.f64 2 x) (+.f64 (*.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/2 x)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x)))))
✓1.1b
(log.f64 (+.f64 x x))
Compiler

Compiled 62 to 46 computations (25.8% saved)

localize44.0ms (0.7%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1/16 (pow.f64 x 5))
0.1b
(*.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/2 x))
0.0b
(+.f64 (*.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/2 x)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x)))
0.0b
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x))
✓0.0b
(+.f64 (*.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/2 x)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x)))
✓0.1b
(*.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/2 x))
0.2b
(/.f64 1/16 (pow.f64 x 5))
✓0.5b
(/.f64 1/4 (*.f64 x x))
Compiler

Compiled 113 to 77 computations (31.9% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 1/4 (*.f64 x x))
1.0ms
x
@inf
(/.f64 1/4 (*.f64 x x))
0.0ms
x
@inf
(*.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/2 x))
0.0ms
x
@0
(+.f64 (*.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/2 x)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x)))
0.0ms
x
@inf
(+.f64 (*.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/2 x)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x)))

rewrite95.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
776×fma-def_binary64
430×fma-neg_binary64
401×log-div_binary64
275×expm1-udef_binary64
275×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01442
134134
2516934
Stop Event
1×node limit
Counts
3 → 209
Calls
Call 1
Inputs
(/.f64 1/4 (*.f64 x x))
(*.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/2 x))
(+.f64 (*.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/2 x)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/4 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 1 x) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 1/8 x)) x) (sqrt.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/2 x)) (/.f64 (sqrt.f64 (/.f64 1/8 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 x) 1/2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 x) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)) (cbrt.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/64 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/16 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1/64 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 1/2 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 1/2 x) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (*.f64 (*.f64 x x) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (*.f64 (*.f64 x 2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (/.f64 (*.f64 x x) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/4 (pow.f64 x -2)) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (*.f64 x (*.f64 (*.f64 x x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (*.f64 (*.f64 (*.f64 x x) 4) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 x) (*.f64 (*.f64 x x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (*.f64 x 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 (*.f64 x x) 4) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 x 2) (*.f64 (*.f64 x x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 x 3) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x x) (/.f64 1/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (/.f64 1/8 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/8 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/8 (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/8 (*.f64 (neg.f64 x) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/4 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/4 (*.f64 (*.f64 x 2) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (*.f64 (*.f64 (*.f64 x x) 4) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/4 x) (*.f64 (*.f64 x 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/4 x) -1/2) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (/.f64 1/4 x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (/.f64 1/4 x)) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/8 x) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/8 x) 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/8 x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/8 (*.f64 x x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/8 (*.f64 x x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/8 (*.f64 x x)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/4 (/.f64 1/2 x)) (*.f64 x (neg.f64 x)))))) (#(struct:change 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egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 1/2 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 1/2 x) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 1/2 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 1/2 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 1/2 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1/2 x) (fma.f64 1/16 (pow.f64 x -5) (pow.f64 (/.f64 1/2 x) 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1/64 (pow.f64 (*.f64 x x) 3)) (-.f64 (pow.f64 (/.f64 1/2 x) 3) (fma.f64 1/16 (pow.f64 x -5) (/.f64 1/2 x)))) (/.f64 (pow.f64 (fma.f64 1/16 (pow.f64 x -5) (/.f64 1/2 x)) 2) (-.f64 (pow.f64 (/.f64 1/2 x) 3) (fma.f64 1/16 (pow.f64 x -5) (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 x) (fma.f64 1/16 (pow.f64 x -5) (pow.f64 (/.f64 1/2 x) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1/2 x) (fma.f64 1/16 (pow.f64 x -5) (pow.f64 (/.f64 1/2 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) (fma.f64 1/16 (pow.f64 x -5) (pow.f64 (/.f64 1/2 x) 3)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) (fma.f64 1/16 (pow.f64 x -5) (pow.f64 (/.f64 1/2 x) 3)))) 2))))) (#(struct:change #<rule egg-rr> 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(/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 1/16 (pow.f64 x -5) (/.f64 1/2 x)) (-.f64 (fma.f64 1/16 (pow.f64 x -5) (/.f64 1/2 x)) (pow.f64 (/.f64 1/2 x) 3)) (/.f64 1/64 (pow.f64 (*.f64 x x) 3))) (+.f64 (pow.f64 (pow.f64 (/.f64 1/2 x) 3) 3) (pow.f64 (fma.f64 1/16 (pow.f64 x -5) (/.f64 1/2 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 (/.f64 1/2 x) 3) (fma.f64 1/16 (pow.f64 x -5) (/.f64 1/2 x))) (-.f64 (/.f64 1/64 (pow.f64 (*.f64 x x) 3)) (pow.f64 (fma.f64 1/16 (pow.f64 x -5) (/.f64 1/2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 1/2 x) 3) 3) (pow.f64 (fma.f64 1/16 (pow.f64 x -5) (/.f64 1/2 x)) 3)) (fma.f64 (fma.f64 1/16 (pow.f64 x -5) (/.f64 1/2 x)) (-.f64 (fma.f64 1/16 (pow.f64 x -5) (/.f64 1/2 x)) (pow.f64 (/.f64 1/2 x) 3)) (/.f64 1/64 (pow.f64 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 1/2 x) 3) 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(pow.f64 x -5) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/4 (pow.f64 x 5/2)) (/.f64 1/4 (pow.f64 x 5/2)) (+.f64 (/.f64 1/2 x) (pow.f64 (/.f64 1/2 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/16 (pow.f64 x -5) (/.f64 1/2 x))) (sqrt.f64 (fma.f64 1/16 (pow.f64 x -5) (/.f64 1/2 x))) (pow.f64 (/.f64 1/2 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) (fma.f64 1/16 (pow.f64 x -5) (pow.f64 (/.f64 1/2 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/2 x)) (*.f64 (sqrt.f64 (/.f64 1/2 x)) (*.f64 1/4 (pow.f64 x -2))) (fma.f64 1/16 (pow.f64 x -5) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (/.f64 1 (neg.f64 x)) (fma.f64 1/16 (pow.f64 x -5) (pow.f64 (/.f64 1/2 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/16 (/.f64 1 (neg.f64 (pow.f64 x 5))) (+.f64 (/.f64 1/2 x) (pow.f64 (/.f64 1/2 x) 3)))))) 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2)) (fma.f64 1/16 (pow.f64 x -5) (pow.f64 (/.f64 1/2 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (/.f64 1/2 x)) 3) (pow.f64 (sqrt.f64 (/.f64 1/2 x)) 3) (fma.f64 1/16 (pow.f64 x -5) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/4 (cbrt.f64 (pow.f64 x 4))) (/.f64 (/.f64 1/2 x) (pow.f64 (cbrt.f64 x) 2)) (fma.f64 1/16 (pow.f64 x -5) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 1/4 (pow.f64 x -2)) 1) (/.f64 1/2 x) (fma.f64 1/16 (pow.f64 x -5) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 1/4 (pow.f64 x -2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/2 (cbrt.f64 x)) (fma.f64 1/16 (pow.f64 x -5) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 1/4 (pow.f64 x -2)) (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 x)) (fma.f64 1/16 (pow.f64 x -5) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 1/2 x) 3/2) (pow.f64 (/.f64 1/2 x) 3/2) (fma.f64 1/16 (pow.f64 x -5) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/4 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)) (cbrt.f64 (/.f64 1/2 x)) (fma.f64 1/16 (pow.f64 x -5) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/4 (pow.f64 x -2)) (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (fma.f64 1/16 (pow.f64 x -5) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/2 x) (cbrt.f64 (/.f64 1/16 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (fma.f64 1/16 (pow.f64 x -5) (/.f64 1/2 x)))))))

simplify97.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
757×associate-*l/_binary64
754×unswap-sqr_binary64
525×associate-*r/_binary64
402×associate-/r/_binary64
390×sqr-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027357
160357
2109357
3198357
4501357
52073357
66251357
76598357
87057357
97516357
Stop Event
1×node limit
Counts
245 → 220
Calls
Call 1
Inputs
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/16 (pow.f64 x 5))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(/.f64 1/2 x)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(/.f64 1/2 x)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
Outputs
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/16 (pow.f64 x 5))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x)))
(/.f64 1/2 x)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x)))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x)))
(/.f64 1/2 x)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x)))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x)))

eval135.0ms (2.1%)

Compiler

Compiled 6696 to 5165 computations (22.9% saved)

prune29.0ms (0.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New2411242
Fresh000
Picked101
Done044
Total2425247
Error
0b
Counts
247 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
✓31.3b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
0.2b
(log.f64 (-.f64 (*.f64 2 x) (+.f64 (/.f64 (/.f64 1/8 (*.f64 x x)) x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x)))))
✓0.6b
(log.f64 (-.f64 (*.f64 2 x) (/.f64 1/2 x)))
✓31.3b
(log.f64 (+.f64 x (-.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) 1)))
✓1.1b
(log.f64 (+.f64 x x))
Compiler

Compiled 60 to 44 computations (26.7% saved)

regimes22.0ms (0.3%)

Counts
10 → 1
Calls
Call 1
Inputs
(log.f64 (+.f64 x x))
(log.f64 (-.f64 (*.f64 2 x) (/.f64 1/2 x)))
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(log.f64 (-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (-.f64 (*.f64 2 x) (+.f64 (/.f64 (/.f64 1/8 (*.f64 x x)) x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x)))))
(log.f64 (-.f64 (*.f64 2 x) (+.f64 (*.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/2 x)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x)))))
(log.f64 (+.f64 x (-.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) 1)))
(log.f64 (-.f64 (*.f64 2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x)))))
(log.f64 (-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))))
Outputs
(log.f64 (-.f64 (*.f64 2 x) (+.f64 (/.f64 (/.f64 1/8 (*.f64 x x)) x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x)))))
Calls

3 calls:

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

Compiled 165 to 121 computations (26.7% saved)

regimes15.0ms (0.2%)

Accuracy

Total -31.8b remaining (-5368.1%)

Threshold costs -31.8b (-5368.1%)

Counts
5 → 1
Calls
Call 1
Inputs
(log.f64 (+.f64 x x))
(log.f64 (-.f64 (*.f64 2 x) (/.f64 1/2 x)))
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(log.f64 (-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Outputs
(log.f64 (-.f64 (*.f64 2 x) (/.f64 1/2 x)))
Calls

3 calls:

5.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
4.0ms
x
4.0ms
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Results
ErrorSegmentsBranch
0.6b1x
0.6b1(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
0.6b1(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Compiler

Compiled 61 to 42 computations (31.1% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
10×+-commutative_binary64
8×sub-neg_binary64
7×*-commutative_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02251
12951
24451
35951
47751
58351
68551
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(log.f64 (-.f64 (*.f64 2 x) (+.f64 (/.f64 (/.f64 1/8 (*.f64 x x)) x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x)))))
(log.f64 (-.f64 (*.f64 2 x) (/.f64 1/2 x)))
(log.f64 (+.f64 x x))
Outputs
(log.f64 (-.f64 (*.f64 2 x) (+.f64 (/.f64 (/.f64 1/8 (*.f64 x x)) x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x)))))
(log.f64 (+.f64 (*.f64 2 x) (+.f64 (/.f64 (/.f64 -1/8 (*.f64 x x)) x) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))))
(log.f64 (-.f64 (*.f64 2 x) (/.f64 1/2 x)))
(log.f64 (+.f64 (*.f64 2 x) (/.f64 -1/2 x)))
(log.f64 (+.f64 x x))
Compiler

Compiled 37 to 27 computations (27% saved)

soundness138.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
1202×associate-/r/_binary64
724×unswap-sqr_binary64
503×associate-/l/_binary64
500×sqr-pow_binary64
499×associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022166
149166
290166
3154166
4302166
5920166
64048166
75536166
85739166
96025166
106345166
116843166
Stop Event
1×node limit
Compiler

Compiled 202 to 172 computations (14.9% saved)

end30.0ms (0.5%)

Compiler

Compiled 35 to 25 computations (28.6% saved)

Profiling

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