Details

Time bar (total: 7.1s)

analyze3.0ms (0%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%50%25%3
37.5%12.5%50%4
43.7%6.2%50%5
46.9%3.1%50%6
48.4%1.6%50%7
49.2%0.8%50%8
49.6%0.4%50%9
49.8%0.2%50%10
49.9%0.1%50%11
49.9%0%50%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample2.5s (34.9%)

Results
1.0s2095×body1024valid
808.0ms4892×body256valid
400.0ms1005×body512valid
250.0ms264×body2048valid

preprocess18.0ms (0.2%)

Algorithm
2×egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
15×cancel-sign-sub-inv_binary64
12×sub-neg_binary64
10×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
1128
2178
3248
4338
5508
6878
71238
81708
92068
102328
112348
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Outputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify17.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
15×cancel-sign-sub-inv_binary64
12×sub-neg_binary64
10×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0711
1128
2178
3248
4338
5508
6878
71238
81708
92068
102328
112348
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Outputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))

eval1.0ms (0%)

Compiler

Compiled 13 to 8 computations (38.5% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
28.2b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶28.2b
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
▶28.2b
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓1.7b
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
✓4.1b
(log.f64 (+.f64 N 1))
Compiler

Compiled 19 to 12 computations (36.8% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
N
@0
(log.f64 (+.f64 N 1))
1.0ms
N
@-inf
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
1.0ms
N
@-inf
(log.f64 (+.f64 N 1))
1.0ms
N
@inf
(log.f64 (+.f64 N 1))
0.0ms
N
@inf
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

rewrite53.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
800×pow1_binary64
746×add-log-exp_binary64
745×log1p-expm1-u_binary64
745×expm1-log1p-u_binary64
732×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0715
115011
2206211
Stop Event
1×node limit
Counts
2 → 55
Calls
Call 1
Inputs
(log.f64 (+.f64 N 1))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2)) (log.f64 (cbrt.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 (sqrt.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 N 3))) (log.f64 (fma.f64 N N (-.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (+.f64 N -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 N)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 N)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 N) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 N)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 N)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))))))

simplify53.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
726×fma-def_binary64
530×sub-neg_binary64
415×times-frac_binary64
266×associate-+l+_binary64
261×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061384
1177352
2474344
31497335
45076335
Stop Event
1×node limit
Counts
79 → 89
Calls
Call 1
Inputs
N
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3))))
(+.f64 N (+.f64 (*.f64 -1/4 (pow.f64 N 4)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(*.f64 -1 (log.f64 (/.f64 1 N)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
Outputs
N
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (*.f64 -1/2 (*.f64 N N)))
(fma.f64 -1/2 (*.f64 N N) N)
(fma.f64 N (*.f64 N -1/2) N)
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3))))
(+.f64 N (fma.f64 -1/2 (*.f64 N N) (*.f64 1/3 (pow.f64 N 3))))
(+.f64 (fma.f64 -1/2 (*.f64 N N) N) (*.f64 1/3 (pow.f64 N 3)))
(fma.f64 N (*.f64 N -1/2) (fma.f64 1/3 (pow.f64 N 3) N))
(fma.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2) N)
(+.f64 N (+.f64 (*.f64 -1/4 (pow.f64 N 4)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1/4 (pow.f64 N 4) (fma.f64 -1/2 (*.f64 N N) (*.f64 1/3 (pow.f64 N 3)))))
(fma.f64 -1/4 (pow.f64 N 4) (fma.f64 N (*.f64 N -1/2) (fma.f64 1/3 (pow.f64 N 3) N)))
(fma.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2) (fma.f64 -1/4 (pow.f64 N 4) N))
(*.f64 -1 (log.f64 (/.f64 1 N)))
(neg.f64 (neg.f64 (log.f64 N)))
(log.f64 N)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N))
(fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1 N))
(+.f64 (/.f64 1 N) (log.f64 N))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (log.f64 N)) (/.f64 1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (-.f64 (/.f64 (/.f64 1/2 N) N) (log.f64 N)))
(+.f64 (/.f64 1 N) (+.f64 (log.f64 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1 N)) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (*.f64 N N)))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (-.f64 (log.f64 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (-.f64 (/.f64 (/.f64 1/2 N) N) (log.f64 N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (+.f64 (log.f64 N) (/.f64 -1/2 (*.f64 N N)))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))
(neg.f64 (neg.f64 (log.f64 N)))
(log.f64 N)
(+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
(fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1 N))
(+.f64 (/.f64 1 N) (log.f64 N))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (log.f64 N)) (/.f64 1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (-.f64 (/.f64 (/.f64 1/2 N) N) (log.f64 N)))
(+.f64 (/.f64 1 N) (+.f64 (log.f64 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1 N)) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (*.f64 N N)))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (-.f64 (log.f64 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (-.f64 (/.f64 (/.f64 1/2 N) N) (log.f64 N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (+.f64 (log.f64 N) (/.f64 -1/2 (*.f64 N N)))))
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 -1/2 (*.f64 N N))))
(+.f64 N (fma.f64 -1/2 (*.f64 N N) (neg.f64 (log.f64 N))))
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 -1/2 (*.f64 N N) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 (fma.f64 -1/2 (*.f64 N N) (*.f64 1/3 (pow.f64 N 3))) (-.f64 N (log.f64 N)))
(-.f64 (fma.f64 N (*.f64 N -1/2) (fma.f64 1/3 (pow.f64 N 3) N)) (log.f64 N))
(-.f64 (fma.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2) N) (log.f64 N))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 N) N)))
(-.f64 (/.f64 1 N) (-.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/3 (pow.f64 N 3))))
(-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 -1/3 (pow.f64 N 3))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4)))) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (+.f64 (/.f64 (/.f64 1/2 N) N) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1 N)))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 N) N)))
(-.f64 (/.f64 1 N) (-.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/3 (pow.f64 N 3))))
(-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 -1/3 (pow.f64 N 3))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4)))) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (+.f64 (/.f64 (/.f64 1/2 N) N) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1 N)))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓1.7b
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 11 to 4 computations (63.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
N
@0
(-.f64 (log1p.f64 N) (log.f64 N))
0.0ms
N
@-inf
(-.f64 (log1p.f64 N) (log.f64 N))
0.0ms
N
@inf
(-.f64 (log1p.f64 N) (log.f64 N))

rewrite47.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
581×pow1_binary64
541×add-log-exp_binary64
541×expm1-log1p-u_binary64
540×log1p-expm1-u_binary64
529×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
11068
214538
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(-.f64 (log1p.f64 N) (log.f64 N))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))))))

simplify39.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
746×fma-def_binary64
701×associate-*l*_binary64
458×fma-neg_binary64
427×cancel-sign-sub-inv_binary64
415×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036192
195188
2237185
3646181
42109181
Stop Event
1×node limit
Counts
47 → 50
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 -1/2 (*.f64 N N))))
(+.f64 N (-.f64 (*.f64 -1/2 (*.f64 N N)) (log.f64 N)))
(-.f64 (fma.f64 -1/2 (*.f64 N N) N) (log.f64 N))
(-.f64 (*.f64 N (fma.f64 N -1/2 1)) (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 1/3 (pow.f64 N 3) (*.f64 -1/2 (*.f64 N N)))))
(+.f64 N (-.f64 (fma.f64 -1/2 (*.f64 N N) (*.f64 1/3 (pow.f64 N 3))) (log.f64 N)))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))))
(fma.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2) (-.f64 N (log.f64 N)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 1/3 (pow.f64 N 3)))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 N) N)))
(+.f64 (/.f64 1 N) (*.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 1/3 N) 1/2)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 1/3 (pow.f64 N 3))) (/.f64 -1/4 (pow.f64 N 4)))
(+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 N) N)) (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (*.f64 N N)) (*.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 -1/4 N) 1/3))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 1/3 (pow.f64 N 3)))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 N) N)))
(+.f64 (/.f64 1 N) (*.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 1/3 N) 1/2)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 1/3 (pow.f64 N 3))) (/.f64 -1/4 (pow.f64 N 4)))
(+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 N) N)) (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (*.f64 N N)) (*.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 -1/4 N) 1/3))))

eval33.0ms (0.5%)

Compiler

Compiled 1747 to 821 computations (53% saved)

prune24.0ms (0.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1318139
Fresh000
Picked101
Done101
Total1338141
Error
0.0b
Counts
141 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
▶29.7b
(-.f64 N (log.f64 N))
▶33.2b
(+.f64 (/.f64 1 N) (*.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 1/3 N) 1/2)))
▶28.1b
(log.f64 (/.f64 (+.f64 N 1) N))
▶33.7b
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
33.7b
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
▶32.2b
(/.f64 1 N)
30.7b
(neg.f64 (log.f64 N))
33.7b
(+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (*.f64 N N)) (*.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 -1/4 N) 1/3))))
Compiler

Compiled 192 to 148 computations (22.9% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 N 1) N)
✓1.7b
(log.f64 (/.f64 (+.f64 N 1) N))
Compiler

Compiled 17 to 11 computations (35.3% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
N
@inf
(/.f64 (+.f64 N 1) N)
0.0ms
N
@0
(log.f64 (/.f64 (+.f64 N 1) N))
0.0ms
N
@-inf
(/.f64 (+.f64 N 1) N)
0.0ms
N
@-inf
(log.f64 (/.f64 (+.f64 N 1) N))
0.0ms
N
@inf
(log.f64 (/.f64 (+.f64 N 1) N))

rewrite52.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
680×pow1_binary64
635×log1p-expm1-u_binary64
635×expm1-log1p-u_binary64
634×add-log-exp_binary64
622×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0616
112715
2170715
Stop Event
1×node limit
Counts
2 → 60
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 N 1) N))
(/.f64 (+.f64 N 1) N)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (log.f64 N) (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 N) (log.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (neg.f64 N) -1)) (log.f64 (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (+.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (*.f64 (log.f64 N) (log.f64 N))) (+.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (log.f64 N) (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 N 1) N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 N 1) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 N 1) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2) (cbrt.f64 (/.f64 (+.f64 N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (*.f64 (cbrt.f64 (+.f64 N 1)) (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) (sqrt.f64 (/.f64 (+.f64 N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 N 1)) (*.f64 (sqrt.f64 (+.f64 N 1)) (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 N) -1) (/.f64 1 (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 N) (+.f64 N 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 N 1)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) 1) (/.f64 (sqrt.f64 (+.f64 N 1)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 N 1) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 N 1) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 N 1) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 N (+.f64 N 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 N 1) (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))))

simplify38.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
746×fma-def_binary64
701×associate-*l*_binary64
458×fma-neg_binary64
427×cancel-sign-sub-inv_binary64
415×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037261
197257
2239254
3645250
42107250
Stop Event
1×node limit
Counts
84 → 77
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 -1/2 (*.f64 N N))))
(+.f64 N (-.f64 (*.f64 N (*.f64 N -1/2)) (log.f64 N)))
(-.f64 (fma.f64 -1/2 (*.f64 N N) N) (log.f64 N))
(-.f64 (*.f64 N (fma.f64 N -1/2 1)) (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 1/3 (pow.f64 N 3) (*.f64 -1/2 (*.f64 N N)))))
(+.f64 N (-.f64 (fma.f64 -1/2 (*.f64 N N) (*.f64 1/3 (pow.f64 N 3))) (log.f64 N)))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))))
(-.f64 (fma.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2) N) (log.f64 N))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 1/3 (pow.f64 N 3)))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4)))) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 -1/2 (*.f64 N N)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4)))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (*.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 1/3 (/.f64 1/4 N))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 1/3 (pow.f64 N 3)))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4)))) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 -1/2 (*.f64 N N)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4)))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (*.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 1/3 (/.f64 1/4 N))))
(/.f64 1 N)
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))

localize3.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 1 N) (*.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 1/3 N) 1/2)))
✓0.1b
(*.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 1/3 N) 1/2))
✓0.2b
(/.f64 1 (*.f64 N N))
✓0.4b
(/.f64 1/3 N)
Compiler

Compiled 50 to 32 computations (36% saved)

series5.0ms (0.1%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
1.0ms
N
@0
(/.f64 1/3 N)
1.0ms
N
@0
(/.f64 1 (*.f64 N N))
1.0ms
N
@0
(*.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 1/3 N) 1/2))
0.0ms
N
@0
(+.f64 (/.f64 1 N) (*.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 1/3 N) 1/2)))
0.0ms
N
@-inf
(/.f64 1/3 N)

rewrite82.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
564×log-prod_binary64
422×fma-def_binary64
322×pow2_binary64
278×fma-neg_binary64
221×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01243
127438
2377338
Stop Event
1×node limit
Counts
4 → 193
Calls
Call 1
Inputs
(/.f64 1/3 N)
(/.f64 1 (*.f64 N N))
(*.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 1/3 N) 1/2))
(+.f64 (/.f64 1 N) (*.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 1/3 N) 1/2)))
Outputs
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simplify60.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
770×fma-neg_binary64
688×distribute-neg-frac_binary64
536×unswap-sqr_binary64
478×associate-/r/_binary64
332×associate-/r*_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
023438
156438
2105438
3223438
4610438
52588426
66165426
Stop Event
1×node limit
Counts
229 → 206
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
Outputs
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1/3 (pow.f64 N 3)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1/3 (pow.f64 N 3)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1/3 (pow.f64 N 3)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1/3 (pow.f64 N 3)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1/3 (pow.f64 N 3)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1/3 (pow.f64 N 3)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1/3 (pow.f64 N 3)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1/3 (pow.f64 N 3)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1/3 (pow.f64 N 3)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) N))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1/3 (pow.f64 N 3)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N)))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(fma.f64 (/.f64 1 (*.f64 N N)) (-.f64 -1/2 (/.f64 -1/3 N)) (/.f64 1 N))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N)))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(fma.f64 (/.f64 1 (*.f64 N N)) (-.f64 -1/2 (/.f64 -1/3 N)) (/.f64 1 N))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N)))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(fma.f64 (/.f64 1 (*.f64 N N)) (-.f64 -1/2 (/.f64 -1/3 N)) (/.f64 1 N))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N)))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(fma.f64 (/.f64 1 (*.f64 N N)) (-.f64 -1/2 (/.f64 -1/3 N)) (/.f64 1 N))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N)))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(fma.f64 (/.f64 1 (*.f64 N N)) (-.f64 -1/2 (/.f64 -1/3 N)) (/.f64 1 N))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N)))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(fma.f64 (/.f64 1 (*.f64 N N)) (-.f64 -1/2 (/.f64 -1/3 N)) (/.f64 1 N))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 N (log.f64 N))
Compiler

Compiled 8 to 3 computations (62.5% saved)

series9.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
6.0ms
N
@0
(-.f64 N (log.f64 N))
2.0ms
N
@-inf
(-.f64 N (log.f64 N))
1.0ms
N
@inf
(-.f64 N (log.f64 N))

rewrite43.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
508×pow1_binary64
491×add-sqr-sqrt_binary64
475×add-log-exp_binary64
475×log1p-expm1-u_binary64
475×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
1886
212626
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(-.f64 N (log.f64 N))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 N (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 N (*.f64 (neg.f64 (log.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 N (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 N (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 N (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 N)) N)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 N (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 N (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 N (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 N (log.f64 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 N (log.f64 N))) 2) (cbrt.f64 (-.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 N (log.f64 N))) (sqrt.f64 (-.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N)))) (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 N (log.f64 N)) (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (+.f64 N (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 N 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (*.f64 N N) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 N (neg.f64 (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 N N) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 N (neg.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 N (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 N (log.f64 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 N (log.f64 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 N (log.f64 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 N (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 N) (sqrt.f64 N) (neg.f64 (log.f64 N)))))))

simplify150.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
1741×fma-neg_binary64
851×distribute-rgt-in_binary64
627×fma-def_binary64
525×distribute-lft-in_binary64
297×unsub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01779
13761
27261
314161
433161
594161
6300761
7426961
8484361
9530561
10586361
11596061
12763861
13766661
14768261
15771861
16799861
Stop Event
1×node limit
Counts
47 → 42
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (*.f64 -1 (log.f64 N)))
N
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (log.f64 (/.f64 1 N)))
N
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
N
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
N
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))

localize73.0ms (1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 1 (pow.f64 N 2))
✓0.3b
(/.f64 1 (pow.f64 N 4))
✓0.8b
(/.f64 1 (pow.f64 N 3))
✓21.8b
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
Compiler

Compiled 110 to 91 computations (17.3% saved)

series8.0ms (0.1%)

Counts
4 → 9
Calls

12 calls:

TimeVariablePointExpression
1.0ms
N
@0
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
1.0ms
N
@0
(/.f64 1 (pow.f64 N 3))
1.0ms
N
@0
(/.f64 1 (pow.f64 N 4))
1.0ms
N
@-inf
(/.f64 1 (pow.f64 N 3))
1.0ms
N
@inf
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))

rewrite156.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
657×fma-neg_binary64
357×expm1-udef_binary64
357×log1p-udef_binary64
238×add-sqr-sqrt_binary64
228×add-log-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02241
151639
2672739
Stop Event
1×node limit
Counts
4 → 163
Calls
Call 1
Inputs
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 (pow.f64 N 3))
(/.f64 1 (pow.f64 N 4))
(/.f64 1 (pow.f64 N 2))
Outputs
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simplify73.0ms (1%)

Algorithm
1×egg-herbie
Rules
838×distribute-neg-frac_binary64
453×times-frac_binary64
420×distribute-rgt-neg-in_binary64
384×distribute-lft-neg-in_binary64
339×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027126
174126
2157126
3361126
41216126
55333126
Stop Event
1×node limit
Counts
172 → 173
Calls
Call 1
Inputs
(/.f64 -1/4 (pow.f64 N 4))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
Outputs
(/.f64 -1/4 (pow.f64 N 4))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4))) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 -1/2 (*.f64 N N))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 -1 N)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 -1 N)))

eval228.0ms (3.2%)

Compiler

Compiled 10683 to 7979 computations (25.3% saved)

prune70.0ms (1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New4926498
Fresh213
Picked101
Done134
Total49610506
Error
0.0b
Counts
506 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
▶33.7b
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))
✓28.1b
(log.f64 (/.f64 (+.f64 N 1) N))
33.7b
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (*.f64 (/.f64 1 N) (/.f64 1 N)))))
✓32.2b
(/.f64 1 N)
✓29.7b
(-.f64 N (log.f64 N))
▶30.7b
(neg.f64 (log.f64 N))
▶33.2b
(+.f64 (/.f64 1 N) (/.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) N))
▶28.3b
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
61.0b
N
▶33.7b
(+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (*.f64 N N)) (*.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 -1/4 N) 1/3))))
Compiler

Compiled 214 to 164 computations (23.4% saved)

localize30.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(cbrt.f64 (/.f64 (+.f64 N 1) N))
✓0.3b
(pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)
✓1.7b
(log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))
✓1.7b
(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))
Compiler

Compiled 59 to 43 computations (27.1% saved)

series12.0ms (0.2%)

Counts
4 → 32
Calls

12 calls:

TimeVariablePointExpression
3.0ms
N
@-inf
(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))
2.0ms
N
@-inf
(log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))
1.0ms
N
@0
(log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))
1.0ms
N
@0
(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))
1.0ms
N
@inf
(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))

rewrite64.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
937×pow1_binary64
874×add-log-exp_binary64
874×log1p-expm1-u_binary64
874×expm1-log1p-u_binary64
98×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01046
120746
2249546
Stop Event
1×node limit
Counts
4 → 97
Calls
Call 1
Inputs
(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))
(log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)
(cbrt.f64 (/.f64 (+.f64 N 1) N))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/6)) (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3)) 2) (cbrt.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3)) (sqrt.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 4))) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2)))) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2)))) 2) (cbrt.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3)) 2) (*.f64 (cbrt.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2)))) (sqrt.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3)) (*.f64 (sqrt.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3)) 2)) (cbrt.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3))) (sqrt.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (cbrt.f64 (/.f64 (+.f64 N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (cbrt.f64 (/.f64 (+.f64 N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (/.f64 (+.f64 N 1) N) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/6) (*.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/6) (cbrt.f64 (/.f64 (+.f64 N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (cbrt.f64 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (/.f64 (+.f64 N 1) N))) (cbrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (cbrt.f64 (+.f64 N 1))) (cbrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 (+.f64 N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 N 1)) (pow.f64 (/.f64 1 N) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 N 1)) (/.f64 1 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/6) (pow.f64 (/.f64 (+.f64 N 1) N) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (+.f64 N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) 1/3) (pow.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 N (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 N) (cbrt.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 (neg.f64 N) -1)) (cbrt.f64 (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (+.f64 N 1))) (neg.f64 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 N 1) N) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3))) (sqrt.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3)) 2)) (cbrt.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3))))))

simplify66.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
793×fma-def_binary64
413×associate-*l*_binary64
374×associate-*r*_binary64
363×distribute-rgt-in_binary64
328×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01751083
1533953
21659870
36222850
Stop Event
1×node limit
Counts
129 → 155
Calls
Call 1
Inputs
(/.f64 1/3 N)
(-.f64 (*.f64 1/3 (/.f64 1 N)) (*.f64 1/6 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N))) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 N 2))) (*.f64 1/12 (/.f64 1 (pow.f64 N 4)))))
(log.f64 (pow.f64 (cbrt.f64 -1) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (*.f64 -1/3 (*.f64 (/.f64 1 N) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3))) (pow.f64 N 2))) (*.f64 -1/3 (*.f64 (/.f64 1 N) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3)))))
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 2/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (*.f64 2 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))) (pow.f64 N 3))) (+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3))) (pow.f64 N 2))) (*.f64 -1/3 (*.f64 (/.f64 1 N) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3))))))
(/.f64 2/3 N)
(-.f64 (*.f64 2/3 (/.f64 1 N)) (*.f64 1/3 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 2/9 (/.f64 1 (pow.f64 N 3))) (*.f64 2/3 (/.f64 1 N))) (*.f64 1/3 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 2/9 (/.f64 1 (pow.f64 N 3))) (*.f64 2/3 (/.f64 1 N))) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 N 4))) (*.f64 1/3 (/.f64 1 (pow.f64 N 2)))))
(log.f64 (pow.f64 (cbrt.f64 -1) 4))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 4)) (*.f64 -2/3 (*.f64 (/.f64 1 N) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 4)) (+.f64 (*.f64 -2/3 (*.f64 (/.f64 1 N) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -4/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 2 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)) (*.f64 1/9 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (pow.f64 (cbrt.f64 -1) 4)))) (pow.f64 N 2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 4)) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 6 (/.f64 (+.f64 (*.f64 -2/3 (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))) (*.f64 -2/27 (*.f64 (pow.f64 1 1/3) (/.f64 1 (cbrt.f64 -1))))) (pow.f64 (cbrt.f64 -1) 4))) (+.f64 (*.f64 16/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (*.f64 -4 (*.f64 (+.f64 (*.f64 -2/9 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)) (*.f64 1/9 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 17)) 1/3))))) (pow.f64 N 3))) (+.f64 (*.f64 -2/3 (*.f64 (/.f64 1 N) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -4/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 2 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)) (*.f64 1/9 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (pow.f64 (cbrt.f64 -1) 4)))) (pow.f64 N 2))))))
1
(+.f64 1 (*.f64 2/3 (/.f64 1 N)))
(-.f64 (+.f64 1 (*.f64 2/3 (/.f64 1 N))) (*.f64 1/9 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 4/81 (/.f64 1 (pow.f64 N 3))) (*.f64 2/3 (/.f64 1 N)))) (*.f64 1/9 (/.f64 1 (pow.f64 N 2))))
(pow.f64 (cbrt.f64 -1) 4)
(+.f64 (*.f64 -2/3 (*.f64 (/.f64 1 N) (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3))) (pow.f64 (cbrt.f64 -1) 4))
(+.f64 (*.f64 -2/3 (*.f64 (/.f64 1 N) (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3))) (+.f64 (*.f64 -2/9 (*.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (pow.f64 (cbrt.f64 -1) 4) (*.f64 1/9 (*.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))))))
(+.f64 (*.f64 -2/3 (*.f64 (/.f64 1 N) (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3))) (+.f64 (*.f64 -2/9 (*.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (pow.f64 (cbrt.f64 -1) 4) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2/3 (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))) (*.f64 -2/27 (*.f64 (pow.f64 1 1/3) (/.f64 1 (cbrt.f64 -1))))) (pow.f64 N 3))) (*.f64 1/9 (*.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))))))
1
(+.f64 1 (*.f64 1/3 (/.f64 1 N)))
(-.f64 (+.f64 1 (*.f64 1/3 (/.f64 1 N))) (*.f64 1/9 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 5/81 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N)))) (*.f64 1/9 (/.f64 1 (pow.f64 N 2))))
(pow.f64 (cbrt.f64 -1) 2)
(+.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 -1/3 (*.f64 (/.f64 1 N) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))))
(+.f64 (*.f64 -1/9 (*.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (+.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 -1/3 (*.f64 (/.f64 1 N) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3)))))
(+.f64 (*.f64 1/3 (/.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 (pow.f64 N 3) (cbrt.f64 -1)))) (+.f64 (*.f64 -1/9 (*.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (+.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 -1/3 (*.f64 (/.f64 1 N) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))))))
Outputs
(/.f64 1/3 N)
(-.f64 (*.f64 1/3 (/.f64 1 N)) (*.f64 1/6 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 N) (/.f64 1/6 (*.f64 N N)))
(+.f64 (/.f64 1/3 N) (/.f64 -1/6 (*.f64 N N)))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/9 (pow.f64 N 3)) (-.f64 (/.f64 1/3 N) (/.f64 1/6 (*.f64 N N))))
(+.f64 (/.f64 1/3 N) (-.f64 (/.f64 1/9 (pow.f64 N 3)) (/.f64 1/6 (*.f64 N N))))
(+.f64 (/.f64 1/3 N) (+.f64 (/.f64 1/9 (pow.f64 N 3)) (/.f64 -1/6 (*.f64 N N))))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N))) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 N 2))) (*.f64 1/12 (/.f64 1 (pow.f64 N 4)))))
(+.f64 (/.f64 1/9 (pow.f64 N 3)) (-.f64 (/.f64 1/3 N) (+.f64 (/.f64 1/6 (*.f64 N N)) (/.f64 1/12 (pow.f64 N 4)))))
(+.f64 (+.f64 (/.f64 1/3 N) (/.f64 1/9 (pow.f64 N 3))) (-.f64 (/.f64 -1/6 (*.f64 N N)) (/.f64 1/12 (pow.f64 N 4))))
(+.f64 (/.f64 1/3 N) (-.f64 (+.f64 (/.f64 1/9 (pow.f64 N 3)) (/.f64 -1/6 (*.f64 N N))) (/.f64 1/12 (pow.f64 N 4))))
(log.f64 (pow.f64 (cbrt.f64 -1) 2))
(*.f64 2 (log.f64 (cbrt.f64 -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (*.f64 -1/3 (*.f64 (/.f64 1 N) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (*.f64 -1/3 (*.f64 (/.f64 1 N) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))))
(fma.f64 2 (log.f64 (cbrt.f64 -1)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (/.f64 -1/3 N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3))) (pow.f64 N 2))) (*.f64 -1/3 (*.f64 (/.f64 1 N) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 1/2 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) -1/3) (*.f64 N N)) (*.f64 -1/3 (*.f64 (/.f64 1 N) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))))))
(fma.f64 2 (log.f64 (cbrt.f64 -1)) (fma.f64 1/2 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) (/.f64 (*.f64 N N) -1/3)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (/.f64 -1/3 N))))
(fma.f64 -1/3 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) N) (fma.f64 2 (log.f64 (cbrt.f64 -1)) (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) -1/6) (*.f64 N N))))
(fma.f64 2 (log.f64 (cbrt.f64 -1)) (*.f64 (/.f64 -1/3 N) (+.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (/.f64 (*.f64 1/2 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)))) N))))
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 2/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (*.f64 2 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))) (pow.f64 N 3))) (+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3))) (pow.f64 N 2))) (*.f64 -1/3 (*.f64 (/.f64 1 N) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3))))))
(fma.f64 -1/6 (/.f64 (+.f64 (/.f64 2/27 (pow.f64 (cbrt.f64 -1) 5)) (fma.f64 2/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) (*.f64 2 (+.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 2)) (*.f64 -2/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))) (pow.f64 N 3)) (+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 1/2 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) -1/3) (*.f64 N N)) (*.f64 -1/3 (*.f64 (/.f64 1 N) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))))))
(fma.f64 -1/6 (/.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) -5/27)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 8/27)) (pow.f64 N 3)) (fma.f64 2 (log.f64 (cbrt.f64 -1)) (fma.f64 1/2 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) (/.f64 (*.f64 N N) -1/3)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (/.f64 -1/3 N)))))
(fma.f64 -1/6 (/.f64 (fma.f64 2 (/.f64 -5/27 (pow.f64 (cbrt.f64 -1) 2)) (/.f64 8/27 (pow.f64 (cbrt.f64 -1) 5))) (pow.f64 N 3)) (fma.f64 -1/3 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) N) (fma.f64 2 (log.f64 (cbrt.f64 -1)) (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) -1/6) (*.f64 N N)))))
(fma.f64 2 (log.f64 (cbrt.f64 -1)) (fma.f64 -1/6 (/.f64 (fma.f64 2 (/.f64 -5/27 (pow.f64 (cbrt.f64 -1) 2)) (/.f64 8/27 (pow.f64 (cbrt.f64 -1) 5))) (pow.f64 N 3)) (*.f64 (/.f64 -1/3 N) (+.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (/.f64 (*.f64 1/2 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)))) N)))))
(/.f64 2/3 N)
(-.f64 (*.f64 2/3 (/.f64 1 N)) (*.f64 1/3 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 2/3 N) (/.f64 1/3 (*.f64 N N)))
(+.f64 (/.f64 2/3 N) (/.f64 -1/3 (*.f64 N N)))
(-.f64 (+.f64 (*.f64 2/9 (/.f64 1 (pow.f64 N 3))) (*.f64 2/3 (/.f64 1 N))) (*.f64 1/3 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 2/3 N) (/.f64 2/9 (pow.f64 N 3))) (/.f64 1/3 (*.f64 N N)))
(+.f64 (/.f64 2/3 N) (+.f64 (/.f64 2/9 (pow.f64 N 3)) (/.f64 -1/3 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 2/3 N) (/.f64 2/9 (pow.f64 N 3))) (/.f64 -1/3 (*.f64 N N)))
(-.f64 (+.f64 (*.f64 2/9 (/.f64 1 (pow.f64 N 3))) (*.f64 2/3 (/.f64 1 N))) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 N 4))) (*.f64 1/3 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 2/3 N) (/.f64 2/9 (pow.f64 N 3))) (+.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 1/6 (pow.f64 N 4))))
(+.f64 (/.f64 2/3 N) (-.f64 (/.f64 2/9 (pow.f64 N 3)) (+.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 1/6 (pow.f64 N 4)))))
(+.f64 (/.f64 -1/3 (*.f64 N N)) (+.f64 (+.f64 (/.f64 2/3 N) (/.f64 2/9 (pow.f64 N 3))) (/.f64 -1/6 (pow.f64 N 4))))
(+.f64 (/.f64 2/3 N) (+.f64 (/.f64 2/9 (pow.f64 N 3)) (+.f64 (/.f64 -1/3 (*.f64 N N)) (/.f64 -1/6 (pow.f64 N 4)))))
(log.f64 (pow.f64 (cbrt.f64 -1) 4))
(*.f64 4 (log.f64 (cbrt.f64 -1)))
(log.f64 (neg.f64 (cbrt.f64 -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 4)) (*.f64 -2/3 (*.f64 (/.f64 1 N) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 4)) (*.f64 (*.f64 (/.f64 1 N) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) -2/3))
(fma.f64 (/.f64 -2/3 N) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (*.f64 4 (log.f64 (cbrt.f64 -1))))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (/.f64 -2/3 N) (*.f64 4 (log.f64 (cbrt.f64 -1))))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (/.f64 -2/3 N) (log.f64 (neg.f64 (cbrt.f64 -1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 4)) (+.f64 (*.f64 -2/3 (*.f64 (/.f64 1 N) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -4/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 2 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)) (*.f64 1/9 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (pow.f64 (cbrt.f64 -1) 4)))) (pow.f64 N 2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 4)) (fma.f64 -2/3 (*.f64 (/.f64 1 N) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (*.f64 1/2 (/.f64 (fma.f64 -4/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) (*.f64 2 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) -1/9) (pow.f64 (cbrt.f64 -1) 4)))) (*.f64 N N)))))
(fma.f64 4 (log.f64 (cbrt.f64 -1)) (fma.f64 1/2 (/.f64 (fma.f64 2 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (pow.f64 (cbrt.f64 -1) 4) -1/9)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) -4/9)) (*.f64 N N)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (/.f64 -2/3 N))))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (/.f64 -2/3 N) (fma.f64 4 (log.f64 (cbrt.f64 -1)) (/.f64 (+.f64 (*.f64 -2/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)))) (*.f64 1/9 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 -1)))) (*.f64 N N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 4)) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 6 (/.f64 (+.f64 (*.f64 -2/3 (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))) (*.f64 -2/27 (*.f64 (pow.f64 1 1/3) (/.f64 1 (cbrt.f64 -1))))) (pow.f64 (cbrt.f64 -1) 4))) (+.f64 (*.f64 16/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (*.f64 -4 (*.f64 (+.f64 (*.f64 -2/9 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)) (*.f64 1/9 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 17)) 1/3))))) (pow.f64 N 3))) (+.f64 (*.f64 -2/3 (*.f64 (/.f64 1 N) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -4/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 2 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)) (*.f64 1/9 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (pow.f64 (cbrt.f64 -1) 4)))) (pow.f64 N 2))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 4)) (fma.f64 -1/6 (/.f64 (fma.f64 6 (/.f64 (fma.f64 -2/3 (*.f64 (cbrt.f64 -1) (+.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 2)) (*.f64 -2/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 -2/27 (/.f64 1 (cbrt.f64 -1)))) (pow.f64 (cbrt.f64 -1) 4)) (+.f64 (/.f64 16/27 (pow.f64 (cbrt.f64 -1) 5)) (*.f64 -4 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) -1/9) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 17))))))) (pow.f64 N 3)) (fma.f64 -2/3 (*.f64 (/.f64 1 N) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (*.f64 1/2 (/.f64 (fma.f64 -4/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) (*.f64 2 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) -1/9) (pow.f64 (cbrt.f64 -1) 4)))) (*.f64 N N))))))
(fma.f64 4 (log.f64 (cbrt.f64 -1)) (fma.f64 -1/6 (/.f64 (fma.f64 6 (/.f64 (fma.f64 (*.f64 (cbrt.f64 -1) -2/3) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) -5/27) (/.f64 -2/27 (cbrt.f64 -1))) (pow.f64 (cbrt.f64 -1) 4)) (fma.f64 -4 (*.f64 (*.f64 -1/9 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 17)))) (/.f64 16/27 (pow.f64 (cbrt.f64 -1) 5)))) (pow.f64 N 3)) (fma.f64 1/2 (/.f64 (fma.f64 2 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (pow.f64 (cbrt.f64 -1) 4) -1/9)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) -4/9)) (*.f64 N N)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (/.f64 -2/3 N)))))
(fma.f64 4 (log.f64 (cbrt.f64 -1)) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (/.f64 -2/3 N) (fma.f64 -1/6 (/.f64 (+.f64 (/.f64 16/27 (pow.f64 (cbrt.f64 -1) 5)) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 17))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) 4/9) (*.f64 (/.f64 (fma.f64 (cbrt.f64 -1) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 10/81) (/.f64 -2/27 (cbrt.f64 -1))) (cbrt.f64 -1)) -6))) (pow.f64 N 3)) (/.f64 (+.f64 (*.f64 -2/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)))) (*.f64 1/9 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 -1)))) (*.f64 N N)))))
(fma.f64 4 (log.f64 (cbrt.f64 -1)) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (/.f64 -2/3 N) (fma.f64 -1/6 (/.f64 (+.f64 (/.f64 16/27 (pow.f64 (cbrt.f64 -1) 5)) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 17))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) 4/9) (*.f64 (/.f64 (+.f64 (*.f64 (/.f64 1 (cbrt.f64 -1)) 10/81) (/.f64 -2/27 (cbrt.f64 -1))) (cbrt.f64 -1)) -6))) (pow.f64 N 3)) (/.f64 (+.f64 (*.f64 -2/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)))) (*.f64 1/9 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 -1)))) (*.f64 N N)))))
1
(+.f64 1 (*.f64 2/3 (/.f64 1 N)))
(+.f64 1 (/.f64 2/3 N))
(-.f64 (+.f64 1 (*.f64 2/3 (/.f64 1 N))) (*.f64 1/9 (/.f64 1 (pow.f64 N 2))))
(+.f64 1 (-.f64 (/.f64 2/3 N) (/.f64 1/9 (*.f64 N N))))
(+.f64 (+.f64 1 (/.f64 2/3 N)) (/.f64 -1/9 (*.f64 N N)))
(+.f64 1 (+.f64 (/.f64 2/3 N) (/.f64 -1/9 (*.f64 N N))))
(-.f64 (+.f64 1 (+.f64 (*.f64 4/81 (/.f64 1 (pow.f64 N 3))) (*.f64 2/3 (/.f64 1 N)))) (*.f64 1/9 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 1 (+.f64 (/.f64 2/3 N) (/.f64 4/81 (pow.f64 N 3)))) (/.f64 1/9 (*.f64 N N)))
(+.f64 1 (+.f64 (/.f64 4/81 (pow.f64 N 3)) (+.f64 (/.f64 2/3 N) (/.f64 -1/9 (*.f64 N N)))))
(+.f64 1 (+.f64 (/.f64 2/3 N) (+.f64 (/.f64 4/81 (pow.f64 N 3)) (/.f64 -1/9 (*.f64 N N)))))
(+.f64 (/.f64 2/3 N) (+.f64 (/.f64 4/81 (pow.f64 N 3)) (+.f64 1 (/.f64 -1/9 (*.f64 N N)))))
(pow.f64 (cbrt.f64 -1) 4)
(*.f64 -1 (cbrt.f64 -1))
(neg.f64 (cbrt.f64 -1))
(+.f64 (*.f64 -2/3 (*.f64 (/.f64 1 N) (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3))) (pow.f64 (cbrt.f64 -1) 4))
(fma.f64 -2/3 (*.f64 (/.f64 1 N) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 7))) (pow.f64 (cbrt.f64 -1) 4))
(fma.f64 -2/3 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 7)) N) (pow.f64 (cbrt.f64 -1) 4))
(fma.f64 -1 (cbrt.f64 -1) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 7)) (/.f64 -2/3 N)))
(fma.f64 -2/3 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 7)) N) (neg.f64 (cbrt.f64 -1)))
(+.f64 (*.f64 -2/3 (*.f64 (/.f64 1 N) (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3))) (+.f64 (*.f64 -2/9 (*.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (pow.f64 (cbrt.f64 -1) 4) (*.f64 1/9 (*.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))))))
(fma.f64 -2/3 (*.f64 (/.f64 1 N) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 7))) (fma.f64 -2/9 (*.f64 (/.f64 1 (*.f64 N N)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (pow.f64 (cbrt.f64 -1) 4) (*.f64 (/.f64 1/9 (*.f64 N N)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))))))
(fma.f64 -2/3 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 7)) N) (fma.f64 -2/9 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (*.f64 N N)) (fma.f64 (/.f64 1/9 (*.f64 N N)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (cbrt.f64 -1) 4))))
(fma.f64 -2/3 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 7)) N) (fma.f64 -1 (cbrt.f64 -1) (*.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (*.f64 N N)) -1/9)))
(fma.f64 -2/3 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 7)) N) (fma.f64 -1 (cbrt.f64 -1) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (/.f64 -1/9 (*.f64 N N)))))
(+.f64 (*.f64 -2/3 (*.f64 (/.f64 1 N) (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3))) (+.f64 (*.f64 -2/9 (*.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (pow.f64 (cbrt.f64 -1) 4) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2/3 (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))) (*.f64 -2/27 (*.f64 (pow.f64 1 1/3) (/.f64 1 (cbrt.f64 -1))))) (pow.f64 N 3))) (*.f64 1/9 (*.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))))))
(fma.f64 -2/3 (*.f64 (/.f64 1 N) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 7))) (fma.f64 -2/9 (*.f64 (/.f64 1 (*.f64 N N)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (pow.f64 (cbrt.f64 -1) 4) (fma.f64 -1 (/.f64 (fma.f64 -2/3 (*.f64 (cbrt.f64 -1) (+.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 2)) (*.f64 -2/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 -2/27 (/.f64 1 (cbrt.f64 -1)))) (pow.f64 N 3)) (*.f64 (/.f64 1/9 (*.f64 N N)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)))))))
(fma.f64 -2/3 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 7)) N) (+.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (/.f64 1/9 (*.f64 N N))) (/.f64 (fma.f64 (*.f64 (cbrt.f64 -1) -2/3) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) -5/27) (/.f64 -2/27 (cbrt.f64 -1))) (pow.f64 N 3))) (fma.f64 -2/9 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (*.f64 N N)) (pow.f64 (cbrt.f64 -1) 4))))
(-.f64 (fma.f64 -2/3 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 7)) N) (fma.f64 -1 (cbrt.f64 -1) (*.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (*.f64 N N)) -1/9))) (/.f64 (fma.f64 (cbrt.f64 -1) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 10/81) (/.f64 -2/27 (cbrt.f64 -1))) (pow.f64 N 3)))
(fma.f64 -2/3 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 7)) N) (fma.f64 -1 (cbrt.f64 -1) (fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (/.f64 -1/9 (*.f64 N N)) (/.f64 (-.f64 (/.f64 2/27 (cbrt.f64 -1)) (*.f64 (/.f64 1 (cbrt.f64 -1)) 10/81)) (pow.f64 N 3)))))
1
(+.f64 1 (*.f64 1/3 (/.f64 1 N)))
(+.f64 1 (/.f64 1/3 N))
(-.f64 (+.f64 1 (*.f64 1/3 (/.f64 1 N))) (*.f64 1/9 (/.f64 1 (pow.f64 N 2))))
(+.f64 1 (-.f64 (/.f64 1/3 N) (/.f64 1/9 (*.f64 N N))))
(+.f64 1 (+.f64 (/.f64 1/3 N) (/.f64 -1/9 (*.f64 N N))))
(-.f64 (+.f64 1 (+.f64 (*.f64 5/81 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N)))) (*.f64 1/9 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1/3 N) (/.f64 5/81 (pow.f64 N 3)))) (/.f64 1/9 (*.f64 N N)))
(+.f64 1 (+.f64 (/.f64 1/3 N) (-.f64 (/.f64 5/81 (pow.f64 N 3)) (/.f64 1/9 (*.f64 N N)))))
(+.f64 1 (+.f64 (/.f64 5/81 (pow.f64 N 3)) (+.f64 (/.f64 1/3 N) (/.f64 -1/9 (*.f64 N N)))))
(pow.f64 (cbrt.f64 -1) 2)
(+.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 -1/3 (*.f64 (/.f64 1 N) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))))
(+.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 -1/3 (*.f64 (/.f64 1 N) (cbrt.f64 (cbrt.f64 -1)))))
(fma.f64 -1/3 (/.f64 (cbrt.f64 (cbrt.f64 -1)) N) (pow.f64 (cbrt.f64 -1) 2))
(+.f64 (*.f64 -1/9 (*.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (+.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 -1/3 (*.f64 (/.f64 1 N) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3)))))
(fma.f64 -1/9 (*.f64 (/.f64 1 (*.f64 N N)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) (+.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 -1/3 (*.f64 (/.f64 1 N) (cbrt.f64 (cbrt.f64 -1))))))
(fma.f64 -1/9 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 N N)) (fma.f64 -1/3 (/.f64 (cbrt.f64 (cbrt.f64 -1)) N) (pow.f64 (cbrt.f64 -1) 2)))
(fma.f64 -1/3 (/.f64 (cbrt.f64 (cbrt.f64 -1)) N) (fma.f64 -1/9 (/.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 -1))) (*.f64 N N)) (pow.f64 (cbrt.f64 -1) 2)))
(+.f64 (*.f64 1/3 (/.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 (pow.f64 N 3) (cbrt.f64 -1)))) (+.f64 (*.f64 -1/9 (*.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (+.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 -1/3 (*.f64 (/.f64 1 N) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))))))
(fma.f64 1/3 (/.f64 (+.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 2)) (*.f64 -2/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 (pow.f64 N 3) (cbrt.f64 -1))) (fma.f64 -1/9 (*.f64 (/.f64 1 (*.f64 N N)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) (+.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 -1/3 (*.f64 (/.f64 1 N) (cbrt.f64 (cbrt.f64 -1)))))))
(fma.f64 1/3 (/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) -5/27) (*.f64 (pow.f64 N 3) (cbrt.f64 -1))) (fma.f64 -1/9 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 N N)) (fma.f64 -1/3 (/.f64 (cbrt.f64 (cbrt.f64 -1)) N) (pow.f64 (cbrt.f64 -1) 2))))
(fma.f64 1/3 (/.f64 (/.f64 -5/27 (pow.f64 (cbrt.f64 -1) 2)) (*.f64 (pow.f64 N 3) (cbrt.f64 -1))) (fma.f64 -1/3 (/.f64 (cbrt.f64 (cbrt.f64 -1)) N) (fma.f64 -1/9 (/.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 -1))) (*.f64 N N)) (pow.f64 (cbrt.f64 -1) 2))))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))
✓0.1b
(/.f64 (/.f64 -1/2 N) N)
Compiler

Compiled 24 to 16 computations (33.3% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite77.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
951×prod-diff_binary64
445×log-prod_binary64
304×fma-def_binary64
239×pow2_binary64
237×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
118917
2289217
Stop Event
1×node limit
Counts
2 → 211
Calls
Call 1
Inputs
(/.f64 (/.f64 -1/2 N) N)
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/2 (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 -1/2 (pow.f64 N -2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 -1/2 (pow.f64 N -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 -1/2 (pow.f64 N -2))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 -1/2 (pow.f64 N -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 N -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (pow.f64 N -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (pow.f64 (/.f64 1 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 N) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (pow.f64 N -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/2 (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 (*.f64 N N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 (*.f64 N N) 2))) (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 -1/2 N) 2)) (*.f64 (cbrt.f64 (/.f64 -1/2 N)) (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1/2) N) (/.f64 (sqrt.f64 -1/2) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1/2 N)) (*.f64 (sqrt.f64 (/.f64 -1/2 N)) (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 N) (/.f64 -1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 N) (/.f64 -1/2 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 -1/2 N) 2)) 1) (/.f64 (cbrt.f64 (/.f64 -1/2 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1/2 N)) 1) (/.f64 (sqrt.f64 (/.f64 -1/2 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (/.f64 1 N) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 N) -2) (/.f64 (/.f64 -1/2 N) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 -1/2 N) 2)) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1/2 N)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (/.f64 -1/2 N)) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (sqrt.f64 N)) (pow.f64 N -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N -1/2) (/.f64 (/.f64 -1/2 N) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 -1/2 N) 2)) (sqrt.f64 N)) (/.f64 (cbrt.f64 (/.f64 -1/2 N)) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (pow.f64 N -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/4 (pow.f64 (*.f64 N N) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1/2) N) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 N (*.f64 N -2)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 N (*.f64 N -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 N N) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 N (*.f64 N -2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1/2 N) (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 (*.f64 N N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 -1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 N -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 N (*.f64 N -2)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (pow.f64 N -2))) 1))))))
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N))) (-.f64 (/.f64 (sqrt.f64 -1/2) N) (sqrt.f64 (/.f64 -1 N))) (+.f64 (/.f64 1 N) (/.f64 -1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 N -2))) (cbrt.f64 (/.f64 -1 N)) (*.f64 -1/2 (pow.f64 N -2)))))))

simplify76.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
732×times-frac_binary64
554×fma-neg_binary64
536×associate-/r*_binary64
494×associate-/l/_binary64
434×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012216
126216
246216
3100216
4263216
5947216
65090216
Stop Event
1×node limit
Counts
235 → 216
Calls
Call 1
Inputs
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
Outputs
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1 N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1 N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1 N))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1 N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1 N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1 N))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1 N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1 N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1 N))

localize32.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 1 N) (/.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) N))
✓0.1b
(/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)
✓0.1b
(/.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) N)
0.4b
(/.f64 1/3 N)
Compiler

Compiled 45 to 32 computations (28.9% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
N
@-inf
(/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)
0.0ms
N
@0
(/.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) N)
0.0ms
N
@inf
(/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)
0.0ms
N
@0
(/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)
0.0ms
N
@inf
(/.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) N)

rewrite87.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
601×log-prod_binary64
407×fma-def_binary64
326×pow2_binary64
315×log-div_binary64
262×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01142
125842
2388940
Stop Event
1×node limit
Counts
3 → 180
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) N)
(/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)
(+.f64 (/.f64 1 N) (/.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) N))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 N) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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-2))) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (cbrt.f64 N)) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (sqrt.f64 N)) (/.f64 (/.f64 1 N) (sqrt.f64 N)) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (sqrt.f64 N)) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) (cbrt.f64 (pow.f64 N -2))) (cbrt.f64 (/.f64 1 N)) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) (pow.f64 N -1/2)) (pow.f64 N -1/2) (/.f64 1 N))))))

simplify73.0ms (1%)

Algorithm
1×egg-herbie
Rules
617×fma-def_binary64
536×unswap-sqr_binary64
482×distribute-neg-frac_binary64
401×div-sub_binary64
356×*-commutative_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
028486
169486
2127486
3274486
4802486
53478474
67161474
Stop Event
1×node limit
Counts
216 → 196
Calls
Call 1
Inputs
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1/3 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))
(/.f64 -1/2 N)
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))
(/.f64 -1/2 N)
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
Outputs
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 1/2 N))
(+.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 -1/2 N))
(-.f64 (/.f64 -1/2 N) (/.f64 -1/3 (*.f64 N N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 1/2 N))
(+.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 -1/2 N))
(-.f64 (/.f64 -1/2 N) (/.f64 -1/3 (*.f64 N N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 1/2 N))
(+.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 -1/2 N))
(-.f64 (/.f64 -1/2 N) (/.f64 -1/3 (*.f64 N N)))
(/.f64 -1/2 N)
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 1/2 N))
(+.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 -1/2 N))
(-.f64 (/.f64 -1/2 N) (/.f64 -1/3 (*.f64 N N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 1/2 N))
(+.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 -1/2 N))
(-.f64 (/.f64 -1/2 N) (/.f64 -1/3 (*.f64 N N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 1/2 N))
(+.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 -1/2 N))
(-.f64 (/.f64 -1/2 N) (/.f64 -1/3 (*.f64 N N)))
(/.f64 -1/2 N)
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 1/2 N))
(+.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 -1/2 N))
(-.f64 (/.f64 -1/2 N) (/.f64 -1/3 (*.f64 N N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 1/2 N))
(+.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 -1/2 N))
(-.f64 (/.f64 -1/2 N) (/.f64 -1/3 (*.f64 N N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 1/2 N))
(+.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 -1/2 N))
(-.f64 (/.f64 -1/2 N) (/.f64 -1/3 (*.f64 N N)))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 -1/2 (*.f64 N N)))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 -1/2 (*.f64 N N)))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 -1/2 (*.f64 N N)))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 -1/2 (*.f64 N N)))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 -1/2 (*.f64 N N)))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 -1/2 (*.f64 N N)))
(fma.f64 (/.f64 1 (*.f64 N N)) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))

localize5.0ms (0.1%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize36.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 -1/4 N) 1/3)
✓0.1b
(*.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 -1/4 N) 1/3))
✓0.2b
(/.f64 -1/2 (*.f64 N N))
0.8b
(/.f64 1 (pow.f64 N 3))
Compiler

Compiled 83 to 59 computations (28.9% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
N
@-inf
(*.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 -1/4 N) 1/3))
1.0ms
N
@0
(*.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 -1/4 N) 1/3))
1.0ms
N
@inf
(*.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 -1/4 N) 1/3))
0.0ms
N
@0
(/.f64 -1/2 (*.f64 N N))
0.0ms
N
@inf
(/.f64 -1/2 (*.f64 N N))

rewrite80.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
618×log-prod_binary64
360×pow2_binary64
303×prod-diff_binary64
250×pow1/3_binary64
249×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01427
132427
2404827
Stop Event
1×node limit
Counts
3 → 145
Calls
Call 1
Inputs
(/.f64 -1/2 (*.f64 N N))
(*.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 -1/4 N) 1/3))
(+.f64 (/.f64 -1/4 N) 1/3)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -1/4 N) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1/16 (*.f64 N N)) (+.f64 (/.f64 -1/4 N) -1/3)) (/.f64 1/9 (+.f64 (/.f64 -1/4 N) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -1/4 N) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -1/4 N) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) 2) (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/64 (pow.f64 N -3) 1/27) (/.f64 1 (+.f64 (/.f64 1/16 (*.f64 N N)) (-.f64 1/9 (/.f64 -1/12 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/16 (*.f64 N N)) -1/9) (/.f64 1 (+.f64 (/.f64 -1/4 N) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1/16 (*.f64 N N)) (-.f64 1/9 (/.f64 -1/12 N))) (fma.f64 -1/64 (pow.f64 N -3) 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 -1/4 N) -1/3) (+.f64 (/.f64 1/16 (*.f64 N N)) -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/64 (pow.f64 N -3) 1/27) (+.f64 (/.f64 1/16 (*.f64 N N)) (-.f64 1/9 (/.f64 -1/12 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/64 (pow.f64 N -3) 1/27) (+.f64 1/9 (-.f64 (/.f64 1/16 (*.f64 N N)) (/.f64 -1/12 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1/16 (*.f64 N N)) -1/9) (+.f64 (/.f64 -1/4 N) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -1/64 (pow.f64 N -3) 1/27)) (neg.f64 (+.f64 (/.f64 1/16 (*.f64 N N)) (-.f64 1/9 (/.f64 -1/12 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 1/16 (*.f64 N N)) -1/9)) (neg.f64 (+.f64 (/.f64 -1/4 N) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (/.f64 1/16 (*.f64 N N))) (-.f64 1/3 (/.f64 -1/4 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -1/4 N) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -1/4 N) 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 1/16 (*.f64 N N)) (-.f64 1/9 (/.f64 -1/12 N))) (fma.f64 -1/64 (pow.f64 N -3) 1/27)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 -1/4 N) -1/3) (+.f64 (/.f64 1/16 (*.f64 N N)) -1/9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 -1/4 N) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -1/4 N) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -1/4 N) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 -1/4 N) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -1/4 N) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -1/4 N) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -1/4 N) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1/4 N) 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1/4 N) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/4 (/.f64 1 N) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/4 N) 1 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/4 (/.f64 1 (neg.f64 N)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -1/4 N)) (cbrt.f64 (/.f64 1/16 (*.f64 N N))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/16 (*.f64 N N))) (cbrt.f64 (/.f64 -1/4 N)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1/4 N)) (sqrt.f64 (/.f64 -1/4 N)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 N) -1/4 1/3)))))

simplify58.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
932×fma-def_binary64
558×distribute-neg-frac_binary64
378×associate-/l/_binary64
354×associate-*l*_binary64
349×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025318
157318
2112318
3248318
4991318
54289318
66070318
Stop Event
1×node limit
Counts
181 → 155
Calls
Call 1
Inputs
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/4 (pow.f64 N 4))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(/.f64 -1/4 N)
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
1/3
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
1/3
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
Outputs
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 -1/4 (pow.f64 N 4))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4)))
(*.f64 (/.f64 -1 (pow.f64 N 3)) (+.f64 (/.f64 1/4 N) -1/3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4)))
(*.f64 (/.f64 -1 (pow.f64 N 3)) (+.f64 (/.f64 1/4 N) -1/3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4)))
(*.f64 (/.f64 -1 (pow.f64 N 3)) (+.f64 (/.f64 1/4 N) -1/3))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4)))
(*.f64 (/.f64 -1 (pow.f64 N 3)) (+.f64 (/.f64 1/4 N) -1/3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4)))
(*.f64 (/.f64 -1 (pow.f64 N 3)) (+.f64 (/.f64 1/4 N) -1/3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4)))
(*.f64 (/.f64 -1 (pow.f64 N 3)) (+.f64 (/.f64 1/4 N) -1/3))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4)))
(*.f64 (/.f64 -1 (pow.f64 N 3)) (+.f64 (/.f64 1/4 N) -1/3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4)))
(*.f64 (/.f64 -1 (pow.f64 N 3)) (+.f64 (/.f64 1/4 N) -1/3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4)))
(*.f64 (/.f64 -1 (pow.f64 N 3)) (+.f64 (/.f64 1/4 N) -1/3))
(/.f64 -1/4 N)
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (/.f64 1/4 N))
(+.f64 1/3 (/.f64 -1/4 N))
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (/.f64 1/4 N))
(+.f64 1/3 (/.f64 -1/4 N))
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (/.f64 1/4 N))
(+.f64 1/3 (/.f64 -1/4 N))
1/3
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (/.f64 1/4 N))
(+.f64 1/3 (/.f64 -1/4 N))
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (/.f64 1/4 N))
(+.f64 1/3 (/.f64 -1/4 N))
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (/.f64 1/4 N))
(+.f64 1/3 (/.f64 -1/4 N))
1/3
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (/.f64 1/4 N))
(+.f64 1/3 (/.f64 -1/4 N))
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (/.f64 1/4 N))
(+.f64 1/3 (/.f64 -1/4 N))
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (/.f64 1/4 N))
(+.f64 1/3 (/.f64 -1/4 N))

eval662.0ms (9.3%)

Compiler

Compiled 17893 to 13544 computations (24.3% saved)

prune243.0ms (3.4%)

Pruning

12 alts after pruning (6 fresh and 6 done)

PrunedKeptTotal
New8234827
Fresh022
Picked101
Done167
Total82512837
Error
0.0b
Counts
837 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
▶28.3b
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (-.f64 (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 (cbrt.f64 N))))
✓33.2b
(+.f64 (/.f64 1 N) (/.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) N))
▶33.7b
(+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) (*.f64 N N)) N)))
✓28.1b
(log.f64 (/.f64 (+.f64 N 1) N))
▶33.7b
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (*.f64 (/.f64 1 N) (/.f64 1 N)))))
✓32.2b
(/.f64 1 N)
✓29.7b
(-.f64 N (log.f64 N))
✓30.7b
(neg.f64 (log.f64 N))
▶33.7b
(/.f64 (+.f64 (/.f64 -1/2 N) 1) N)
▶33.7b
(/.f64 1 (/.f64 N (+.f64 (/.f64 -1/2 N) 1)))
✓28.3b
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
61.0b
N
Compiler

Compiled 234 to 177 computations (24.4% saved)

localize41.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.6b
(cbrt.f64 N)
1.7b
(log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))
✓1.7b
(-.f64 (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 (cbrt.f64 N)))
✓4.1b
(log.f64 (cbrt.f64 (+.f64 N 1)))
Compiler

Compiled 77 to 52 computations (32.5% saved)

series24.0ms (0.3%)

Counts
3 → 4
Calls

9 calls:

TimeVariablePointExpression
13.0ms
N
@inf
(-.f64 (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 (cbrt.f64 N)))
7.0ms
N
@-inf
(-.f64 (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 (cbrt.f64 N)))
1.0ms
N
@0
(-.f64 (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 (cbrt.f64 N)))
1.0ms
N
@inf
(log.f64 (cbrt.f64 (+.f64 N 1)))
1.0ms
N
@-inf
(log.f64 (cbrt.f64 (+.f64 N 1)))

rewrite132.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
946×pow1_binary64
882×log1p-expm1-u_binary64
882×expm1-log1p-u_binary64
881×add-log-exp_binary64
92×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0924
118520
2240720
Stop Event
1×node limit
Counts
3 → 78
Calls
Call 1
Inputs
(log.f64 (cbrt.f64 (+.f64 N 1)))
(-.f64 (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 (cbrt.f64 N)))
(cbrt.f64 N)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log1p.f64 N) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)))) (log.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (+.f64 N 1) 1/6)) (log.f64 (pow.f64 (+.f64 N 1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (log1p.f64 N) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (log1p.f64 N) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log1p.f64 N) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 N) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log1p.f64 N) 1/3)) (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 N) 1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 N) 1/3) 2)) (cbrt.f64 (*.f64 (log1p.f64 N) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log1p.f64 N) 1/3)) (sqrt.f64 (*.f64 (log1p.f64 N) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log1p.f64 N) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log1p.f64 N) 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log1p.f64 N) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log1p.f64 N) 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log1p.f64 N) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log1p.f64 N) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log1p.f64 N) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (log1p.f64 N) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log1p.f64 N) 1/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log1p.f64 N) 1/3) (neg.f64 (log.f64 (cbrt.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log1p.f64 N) 1/3) (*.f64 (neg.f64 (log.f64 (cbrt.f64 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (fma.f64 (neg.f64 (log.f64 (cbrt.f64 N))) 1 (log.f64 (cbrt.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (cbrt.f64 N)))) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 N))) 2) (log.f64 (cbrt.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (cbrt.f64 N)))) (sqrt.f64 (log.f64 (cbrt.f64 N))) (log.f64 (cbrt.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 (cbrt.f64 N))) (*.f64 (log1p.f64 N) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))) (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 N) 1/3) 3) (pow.f64 (log.f64 (cbrt.f64 N)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (log1p.f64 N) 1/3) 2) (*.f64 (log.f64 (cbrt.f64 N)) (+.f64 (*.f64 (log1p.f64 N) 1/3) (log.f64 (cbrt.f64 N)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 N) 1/3) 2) (pow.f64 (log.f64 (cbrt.f64 N)) 2)) (/.f64 1 (+.f64 (*.f64 (log1p.f64 N) 1/3) (log.f64 (cbrt.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 (log1p.f64 N) 1/3)) (sqrt.f64 (log.f64 (cbrt.f64 N)))) (-.f64 (sqrt.f64 (*.f64 (log1p.f64 N) 1/3)) (sqrt.f64 (log.f64 (cbrt.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 N) 1/3) 2) (*.f64 (log.f64 (cbrt.f64 N)) (+.f64 (*.f64 (log1p.f64 N) 1/3) (log.f64 (cbrt.f64 N))))) (-.f64 (pow.f64 (*.f64 (log1p.f64 N) 1/3) 3) (pow.f64 (log.f64 (cbrt.f64 N)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (log1p.f64 N) 1/3) (log.f64 (cbrt.f64 N))) (-.f64 (pow.f64 (*.f64 (log1p.f64 N) 1/3) 2) (pow.f64 (log.f64 (cbrt.f64 N)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 N) 1/3) 3) (pow.f64 (log.f64 (cbrt.f64 N)) 3)) (+.f64 (pow.f64 (*.f64 (log1p.f64 N) 1/3) 2) (*.f64 (log.f64 (cbrt.f64 N)) (+.f64 (*.f64 (log1p.f64 N) 1/3) (log.f64 (cbrt.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 N) 1/3) 2) (pow.f64 (log.f64 (cbrt.f64 N)) 2)) (+.f64 (*.f64 (log1p.f64 N) 1/3) (log.f64 (cbrt.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 N) 1/3) 3) (pow.f64 (log.f64 (cbrt.f64 N)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 N) 1/3) 2) (*.f64 (log.f64 (cbrt.f64 N)) (+.f64 (*.f64 (log1p.f64 N) 1/3) (log.f64 (cbrt.f64 N)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 N) 1/3) 2) (pow.f64 (log.f64 (cbrt.f64 N)) 2))) (neg.f64 (+.f64 (*.f64 (log1p.f64 N) 1/3) (log.f64 (cbrt.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 N) 1/3) 3) (pow.f64 (neg.f64 (log.f64 (cbrt.f64 N))) 3)) (+.f64 (pow.f64 (*.f64 (log1p.f64 N) 1/3) 2) (-.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 N))) (neg.f64 (log.f64 (cbrt.f64 N)))) (*.f64 (*.f64 (log1p.f64 N) 1/3) (neg.f64 (log.f64 (cbrt.f64 N)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 N) 1/3) 2) (*.f64 (neg.f64 (log.f64 (cbrt.f64 N))) (neg.f64 (log.f64 (cbrt.f64 N))))) (-.f64 (*.f64 (log1p.f64 N) 1/3) (neg.f64 (log.f64 (cbrt.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (log1p.f64 N) 1/3) (neg.f64 (log.f64 (cbrt.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 N) 1/3) 2)) (cbrt.f64 (*.f64 (log1p.f64 N) 1/3)) (neg.f64 (log.f64 (cbrt.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (log1p.f64 N) 1/3)) (sqrt.f64 (*.f64 (log1p.f64 N) 1/3)) (neg.f64 (log.f64 (cbrt.f64 N))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) (cbrt.f64 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N 1/6) (pow.f64 N 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 N) 2) 1/3) (cbrt.f64 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 N) 1/3) (pow.f64 (sqrt.f64 N) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 N 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 N)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 N 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 N)))) (sqrt.f64 (log.f64 (cbrt.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 N))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 N)))))))

simplify112.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
945×fma-def_binary64
803×unswap-sqr_binary64
581×distribute-lft-out_binary64
553×*-commutative_binary64
371×sqr-pow_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02258
15658
212855
340647
4132542
5315942
6511942
7525642
8549642
9578042
10632942
11714942
12777342
Stop Event
1×node limit
Counts
82 → 85
Calls
Call 1
Inputs
(*.f64 1/3 N)
(+.f64 (*.f64 1/3 N) (*.f64 -1/6 (pow.f64 N 2)))
(+.f64 (*.f64 1/3 N) (+.f64 (*.f64 1/9 (pow.f64 N 3)) (*.f64 -1/6 (pow.f64 N 2))))
(+.f64 (*.f64 1/3 N) (+.f64 (*.f64 1/9 (pow.f64 N 3)) (+.f64 (*.f64 -1/6 (pow.f64 N 2)) (*.f64 -1/12 (pow.f64 N 4)))))
Outputs
(*.f64 1/3 N)
(+.f64 (*.f64 1/3 N) (*.f64 -1/6 (pow.f64 N 2)))
(fma.f64 1/3 N (*.f64 -1/6 (*.f64 N N)))
(fma.f64 1/3 N (*.f64 N (*.f64 N -1/6)))
(*.f64 N (+.f64 1/3 (*.f64 N -1/6)))
(*.f64 N (fma.f64 N -1/6 1/3))
(+.f64 (*.f64 1/3 N) (+.f64 (*.f64 1/9 (pow.f64 N 3)) (*.f64 -1/6 (pow.f64 N 2))))
(fma.f64 1/3 N (fma.f64 1/9 (pow.f64 N 3) (*.f64 -1/6 (*.f64 N N))))
(fma.f64 1/3 N (fma.f64 -1/6 (*.f64 N N) (*.f64 1/9 (pow.f64 N 3))))
(fma.f64 1/3 N (*.f64 (*.f64 N N) (+.f64 -1/6 (*.f64 N 1/9))))
(*.f64 N (+.f64 1/3 (*.f64 N (fma.f64 N 1/9 -1/6))))
(*.f64 N (fma.f64 N (fma.f64 N 1/9 -1/6) 1/3))
(+.f64 (*.f64 1/3 N) (+.f64 (*.f64 1/9 (pow.f64 N 3)) (+.f64 (*.f64 -1/6 (pow.f64 N 2)) (*.f64 -1/12 (pow.f64 N 4)))))
(fma.f64 1/3 N (fma.f64 1/9 (pow.f64 N 3) (fma.f64 -1/6 (*.f64 N N) (*.f64 -1/12 (pow.f64 N 4)))))
(fma.f64 1/3 N (fma.f64 -1/12 (pow.f64 N 4) (*.f64 (*.f64 N N) (+.f64 -1/6 (*.f64 N 1/9)))))
(fma.f64 -1/12 (pow.f64 N 4) (*.f64 N (+.f64 1/3 (*.f64 N (fma.f64 N 1/9 -1/6)))))
(*.f64 N (+.f64 1/3 (*.f64 N (fma.f64 N (fma.f64 N -1/12 1/9) -1/6))))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 -1/2 N) 1)
✓0.1b
(/.f64 (+.f64 (/.f64 -1/2 N) 1) N)
Compiler

Compiled 19 to 14 computations (26.3% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite58.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
798×pow1_binary64
749×add-log-exp_binary64
749×log1p-expm1-u_binary64
749×expm1-log1p-u_binary64
736×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115517
2204017
Stop Event
1×node limit
Counts
2 → 62
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 -1/2 N) 1) N)
(+.f64 (/.f64 -1/2 N) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -1/2 N) 1) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 N) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 N) 1)) (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 N) 1)) (*.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 N) 1)) (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) (sqrt.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (neg.f64 (/.f64 -1/2 N))) (/.f64 1 (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 N) 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 N) 1)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 N) 1)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 N) 1)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 N) 1)) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 N) 1)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 N) 1)) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 N) 1)) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 N) 1)) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 N (+.f64 (/.f64 -1/2 N) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 -1/2 N) 1) 3) (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (/.f64 -1/2 N)) (log.f64 N)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (/.f64 -1/2 N) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1/4 (*.f64 N N)) (+.f64 (/.f64 -1/2 N) -1)) (/.f64 1 (+.f64 (/.f64 -1/2 N) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -1/2 N) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -1/2 N) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 N) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 N) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 N) 1)) 2) (cbrt.f64 (+.f64 (/.f64 -1/2 N) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 N) 1)) (sqrt.f64 (+.f64 (/.f64 -1/2 N) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) (/.f64 1 (+.f64 (/.f64 1/4 (*.f64 N N)) (-.f64 1 (/.f64 -1/2 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/4 (*.f64 N N)) -1) (/.f64 1 (+.f64 (/.f64 -1/2 N) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1/4 (*.f64 N N)) (-.f64 1 (/.f64 -1/2 N))) (+.f64 1 (/.f64 -1/8 (pow.f64 N 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 -1/2 N) -1) (+.f64 (/.f64 1/4 (*.f64 N N)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) (+.f64 (/.f64 1/4 (*.f64 N N)) (-.f64 1 (/.f64 -1/2 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) (+.f64 1 (-.f64 (/.f64 1/4 (*.f64 N N)) (/.f64 -1/2 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1/4 (*.f64 N N)) -1) (+.f64 (/.f64 -1/2 N) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3)))) (neg.f64 (+.f64 (/.f64 1/4 (*.f64 N N)) (-.f64 1 (/.f64 -1/2 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 1/4 (*.f64 N N)) -1)) (neg.f64 (+.f64 (/.f64 -1/2 N) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (/.f64 1/4 (*.f64 N N))) (-.f64 1 (/.f64 -1/2 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -1/2 N) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -1/2 N) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 N) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 N) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 -1/2 N) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -1/2 N) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 -1/2 N) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -1/2 N) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -1/2 N) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 -1/2 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (/.f64 1 N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1/2 N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) (cbrt.f64 (/.f64 -1/2 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1/2 N)) (sqrt.f64 (/.f64 -1/2 N)) 1)))))

simplify59.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
633×div-sub_binary64
561×associate-/l*_binary64
444×associate-/r/_binary64
437×fma-neg_binary64
434×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015201
135201
261201
3138201
4384201
51509201
64526201
76960201
Stop Event
1×node limit
Counts
86 → 71
Calls
Call 1
Inputs
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/2 N)
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
Outputs
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 -1/2 N)
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 -1/2 N) 1)
✓0.1b
(/.f64 N (+.f64 (/.f64 -1/2 N) 1))
✓0.1b
(/.f64 1 (/.f64 N (+.f64 (/.f64 -1/2 N) 1)))
Compiler

Compiled 28 to 21 computations (25% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite60.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
925×pow1_binary64
865×add-log-exp_binary64
865×log1p-expm1-u_binary64
865×expm1-log1p-u_binary64
848×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0823
118320
2245820
Stop Event
1×node limit
Counts
2 → 73
Calls
Call 1
Inputs
(/.f64 1 (/.f64 N (+.f64 (/.f64 -1/2 N) 1)))
(/.f64 N (+.f64 (/.f64 -1/2 N) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 N) (*.f64 (/.f64 -1/2 N) (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1/2 N) (/.f64 1 N)) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 N) 1) (*.f64 (/.f64 1 N) (/.f64 -1/2 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 N) (/.f64 -1/2 N)) (*.f64 (/.f64 1 N) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 -1/2 N)) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 N) (+.f64 1 (/.f64 -1/2 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 N) (+.f64 1 (/.f64 -1/2 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 N) (pow.f64 (/.f64 1 (+.f64 1 (/.f64 -1/2 N))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N)))) -1) (pow.f64 (sqrt.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) 1) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (sqrt.f64 N)) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 N)) (+.f64 -1 (neg.f64 (/.f64 -1/2 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 N) 1) (+.f64 1 (/.f64 -1/2 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 N) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2)) (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 N) (sqrt.f64 (+.f64 1 (/.f64 -1/2 N)))) (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 -1/2 N)) 3) (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (/.f64 -1/2 N)) (log.f64 N)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 N (+.f64 1 (/.f64 -1/2 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 N (+.f64 1 (/.f64 -1/2 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 N (/.f64 1 (+.f64 1 (/.f64 -1/2 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) (/.f64 1 (+.f64 1 (/.f64 -1/2 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N)))) (pow.f64 (cbrt.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N)))) 2) (cbrt.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) (/.f64 1 (+.f64 1 (/.f64 -1/2 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N)))) (sqrt.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 N) (/.f64 1 (+.f64 -1 (neg.f64 (/.f64 -1/2 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (/.f64 -1/2 N))) N)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) 1) (/.f64 (cbrt.f64 N) (+.f64 1 (/.f64 -1/2 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 N) 1) (/.f64 (sqrt.f64 N) (+.f64 1 (/.f64 -1/2 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2)) (/.f64 N (cbrt.f64 (+.f64 1 (/.f64 -1/2 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2)) (cbrt.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 N) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2)) (/.f64 (sqrt.f64 N) (cbrt.f64 (+.f64 1 (/.f64 -1/2 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N)))) (/.f64 N (sqrt.f64 (+.f64 1 (/.f64 -1/2 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (sqrt.f64 (+.f64 1 (/.f64 -1/2 N)))) (/.f64 (cbrt.f64 N) (sqrt.f64 (+.f64 1 (/.f64 -1/2 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 N (+.f64 1 (/.f64 -1/8 (pow.f64 N 3)))) (+.f64 (/.f64 1/4 (*.f64 N N)) (-.f64 1 (/.f64 -1/2 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 N (+.f64 (/.f64 1/4 (*.f64 N N)) -1)) (+.f64 (/.f64 -1/2 N) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 N (+.f64 -1 (neg.f64 (/.f64 -1/2 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 (/.f64 -1/2 N)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 N) (log1p.f64 (/.f64 -1/2 N))))))))

simplify64.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
887×fma-def_binary64
648×times-frac_binary64
509×associate-*l/_binary64
482×fma-neg_binary64
428×associate-*r/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042270
1105270
2232268
3630261
41676255
54128255
67725255
Stop Event
1×node limit
Counts
97 → 92
Calls
Call 1
Inputs
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(*.f64 -2 (pow.f64 N 2))
(+.f64 (*.f64 -4 (pow.f64 N 3)) (*.f64 -2 (pow.f64 N 2)))
(+.f64 (*.f64 -4 (pow.f64 N 3)) (+.f64 (*.f64 -2 (pow.f64 N 2)) (*.f64 -8 (pow.f64 N 4))))
(+.f64 (*.f64 -4 (pow.f64 N 3)) (+.f64 (*.f64 -2 (pow.f64 N 2)) (+.f64 (*.f64 -16 (pow.f64 N 5)) (*.f64 -8 (pow.f64 N 4)))))
N
(+.f64 N 1/2)
(+.f64 N (+.f64 1/2 (*.f64 1/4 (/.f64 1 N))))
(+.f64 N (+.f64 1/2 (+.f64 (*.f64 1/4 (/.f64 1 N)) (*.f64 1/8 (/.f64 1 (pow.f64 N 2))))))
N
(+.f64 N 1/2)
(+.f64 N (+.f64 1/2 (*.f64 1/4 (/.f64 1 N))))
(+.f64 N (+.f64 1/2 (+.f64 (*.f64 1/4 (/.f64 1 N)) (*.f64 1/8 (/.f64 1 (pow.f64 N 2))))))
Outputs
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(*.f64 -2 (pow.f64 N 2))
(*.f64 (*.f64 N N) -2)
(*.f64 N (*.f64 N -2))
(+.f64 (*.f64 -4 (pow.f64 N 3)) (*.f64 -2 (pow.f64 N 2)))
(fma.f64 -4 (pow.f64 N 3) (*.f64 (*.f64 N N) -2))
(fma.f64 (*.f64 N N) -2 (*.f64 -4 (pow.f64 N 3)))
(*.f64 (*.f64 N N) (+.f64 -2 (*.f64 N -4)))
(*.f64 (*.f64 N N) (fma.f64 N -4 -2))
(+.f64 (*.f64 -4 (pow.f64 N 3)) (+.f64 (*.f64 -2 (pow.f64 N 2)) (*.f64 -8 (pow.f64 N 4))))
(fma.f64 -4 (pow.f64 N 3) (fma.f64 -2 (*.f64 N N) (*.f64 -8 (pow.f64 N 4))))
(fma.f64 -4 (pow.f64 N 3) (fma.f64 (*.f64 N N) -2 (*.f64 -8 (pow.f64 N 4))))
(fma.f64 -8 (pow.f64 N 4) (*.f64 (*.f64 N N) (+.f64 -2 (*.f64 N -4))))
(fma.f64 N (*.f64 N (fma.f64 N -4 -2)) (*.f64 -8 (pow.f64 N 4)))
(*.f64 N (*.f64 N (fma.f64 N (fma.f64 N -8 -4) -2)))
(+.f64 (*.f64 -4 (pow.f64 N 3)) (+.f64 (*.f64 -2 (pow.f64 N 2)) (+.f64 (*.f64 -16 (pow.f64 N 5)) (*.f64 -8 (pow.f64 N 4)))))
(fma.f64 -4 (pow.f64 N 3) (fma.f64 -2 (*.f64 N N) (fma.f64 -16 (pow.f64 N 5) (*.f64 -8 (pow.f64 N 4)))))
(fma.f64 -4 (pow.f64 N 3) (fma.f64 (*.f64 N N) -2 (fma.f64 -8 (pow.f64 N 4) (*.f64 -16 (pow.f64 N 5)))))
(fma.f64 N (*.f64 N -2) (fma.f64 -4 (pow.f64 N 3) (fma.f64 -8 (pow.f64 N 4) (*.f64 -16 (pow.f64 N 5)))))
(fma.f64 N (*.f64 N (fma.f64 N -4 -2)) (fma.f64 -8 (pow.f64 N 4) (*.f64 -16 (pow.f64 N 5))))
(fma.f64 N (*.f64 N (fma.f64 N (fma.f64 N -8 -4) -2)) (*.f64 -16 (pow.f64 N 5)))
N
(+.f64 N 1/2)
(+.f64 N (+.f64 1/2 (*.f64 1/4 (/.f64 1 N))))
(+.f64 N (+.f64 1/2 (/.f64 1/4 N)))
(+.f64 (+.f64 N 1/2) (/.f64 1/4 N))
(+.f64 N (+.f64 1/2 (+.f64 (*.f64 1/4 (/.f64 1 N)) (*.f64 1/8 (/.f64 1 (pow.f64 N 2))))))
(+.f64 N (+.f64 1/2 (+.f64 (/.f64 1/4 N) (/.f64 1/8 (*.f64 N N)))))
(+.f64 N (+.f64 (/.f64 1/4 N) (+.f64 1/2 (/.f64 1/8 (*.f64 N N)))))
(+.f64 N (+.f64 1/2 (+.f64 (/.f64 1/4 N) (/.f64 (/.f64 1/8 N) N))))
(+.f64 N (+.f64 (+.f64 1/2 (/.f64 1/4 N)) (/.f64 1/8 (*.f64 N N))))
N
(+.f64 N 1/2)
(+.f64 N (+.f64 1/2 (*.f64 1/4 (/.f64 1 N))))
(+.f64 N (+.f64 1/2 (/.f64 1/4 N)))
(+.f64 (+.f64 N 1/2) (/.f64 1/4 N))
(+.f64 N (+.f64 1/2 (+.f64 (*.f64 1/4 (/.f64 1 N)) (*.f64 1/8 (/.f64 1 (pow.f64 N 2))))))
(+.f64 N (+.f64 1/2 (+.f64 (/.f64 1/4 N) (/.f64 1/8 (*.f64 N N)))))
(+.f64 N (+.f64 (/.f64 1/4 N) (+.f64 1/2 (/.f64 1/8 (*.f64 N N)))))
(+.f64 N (+.f64 1/2 (+.f64 (/.f64 1/4 N) (/.f64 (/.f64 1/8 N) N))))
(+.f64 N (+.f64 (+.f64 1/2 (/.f64 1/4 N)) (/.f64 1/8 (*.f64 N N))))

localize27.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 -1/4 N) 1/3)
✓0.1b
(/.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) (*.f64 N N)) N)
0.2b
(/.f64 -1/2 (*.f64 N N))
✓0.2b
(/.f64 (+.f64 (/.f64 -1/4 N) 1/3) (*.f64 N N))
Compiler

Compiled 83 to 48 computations (42.2% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
N
@0
(/.f64 (+.f64 (/.f64 -1/4 N) 1/3) (*.f64 N N))
0.0ms
N
@inf
(/.f64 (+.f64 (/.f64 -1/4 N) 1/3) (*.f64 N N))
0.0ms
N
@-inf
(/.f64 (+.f64 (/.f64 -1/4 N) 1/3) (*.f64 N N))
0.0ms
N
@inf
(/.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) (*.f64 N N)) N)
0.0ms
N
@0
(/.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) (*.f64 N N)) N)

rewrite64.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
512×log-prod_binary64
307×pow-prod-down_binary64
271×pow2_binary64
234×log-div_binary64
189×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0929
121326
2307026
Stop Event
1×node limit
Counts
2 → 96
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 -1/4 N) 1/3) (*.f64 N N))
(/.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) (*.f64 N N)) N)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 N -2)) (+.f64 (/.f64 -1/4 N) 1/3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 N -2)) (+.f64 (/.f64 -1/4 N) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 N -2)) (+.f64 (/.f64 -1/4 N) 1/3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 N -2)) (+.f64 (/.f64 -1/4 N) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (pow.f64 N -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -1/4 N) 1/3) (pow.f64 N -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (pow.f64 N -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> 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N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N -2) (+.f64 (/.f64 -1/4 N) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) 2) N) (/.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cbrt.f64 N) N)) (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) (pow.f64 (cbrt.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) 2) (*.f64 (cbrt.f64 N) N)) (cbrt.f64 (*.f64 (+.f64 (/.f64 -1/4 N) 1/3) 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#<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 N (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) (neg.f64 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) N) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 N -2)) (+.f64 (/.f64 -1/4 N) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (pow.f64 N -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) N) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 -1/4 N) 1/3) 3) (pow.f64 N 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (pow.f64 N -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) N) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (pow.f64 N -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 N (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (pow.f64 N -2))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 -1/4 N) 1/3)) (pow.f64 N -3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 -1/4 N) 1/3)) (pow.f64 N -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 -1/4 N) 1/3)) (pow.f64 N -3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 -1/4 N) 1/3)) (pow.f64 N -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (pow.f64 N -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -1/4 N) 1/3) (pow.f64 N -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (pow.f64 N -2)) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (pow.f64 N -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) N) 4)) (*.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (pow.f64 N -2))) (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) N) (pow.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) N) 2) (/.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) N) (/.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) N) (*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) N) (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) (pow.f64 N 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (neg.f64 (pow.f64 N -2))) (/.f64 1 (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 N) (*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) 2) N) (/.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (pow.f64 N -2) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 N) -2) (/.f64 (*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (pow.f64 N -2)) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N -1/2) (/.f64 (*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (pow.f64 N -2)) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) (sqrt.f64 N)) (pow.f64 N -5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) 1) (pow.f64 N -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) N) 4)) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (pow.f64 N -2))) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) N) 1) (/.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) N) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) N) 4)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) N) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) N) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) N) 4)) (sqrt.f64 N)) (/.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (pow.f64 N -2))) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (pow.f64 N -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) N) 6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) N) 9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) N) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) (pow.f64 N 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) N) -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) N) 6) (pow.f64 N 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 N 3) (+.f64 (/.f64 -1/4 N) 1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) N) -3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (pow.f64 N -2)) (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) N) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 -1/4 N) 1/3)) (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (pow.f64 N -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) N) 9))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) N) 6) (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (pow.f64 N -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (pow.f64 N -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (pow.f64 N -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (pow.f64 N -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) N) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) (pow.f64 N 3/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (pow.f64 N -3)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (pow.f64 N -3))) 1) 1))))))

simplify61.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
616×distribute-neg-frac_binary64
609×associate-/l/_binary64
473×div-sub_binary64
395×fma-neg_binary64
363×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025330
159330
2126330
3308330
41207330
55052330
67021330
Stop Event
1×node limit
Counts
120 → 105
Calls
Call 1
Inputs
(/.f64 -1/4 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 3))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 3))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 3))))
(/.f64 1/3 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 3))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 3))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 3))))
(/.f64 1/3 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 3))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 3))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 3))))
(/.f64 -1/4 (pow.f64 N 4))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
Outputs
(/.f64 -1/4 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 3))))
(-.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 3)))
(+.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 -1/4 (pow.f64 N 3)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 3))))
(-.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 3)))
(+.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 -1/4 (pow.f64 N 3)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 3))))
(-.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 3)))
(+.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 -1/4 (pow.f64 N 3)))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 3))))
(-.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 3)))
(+.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 -1/4 (pow.f64 N 3)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 3))))
(-.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 3)))
(+.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 -1/4 (pow.f64 N 3)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 3))))
(-.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 3)))
(+.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 -1/4 (pow.f64 N 3)))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 3))))
(-.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 3)))
(+.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 -1/4 (pow.f64 N 3)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 3))))
(-.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 3)))
(+.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 -1/4 (pow.f64 N 3)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 3))))
(-.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 3)))
(+.f64 (/.f64 1/3 (*.f64 N N)) (/.f64 -1/4 (pow.f64 N 3)))
(/.f64 -1/4 (pow.f64 N 4))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4)))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4)))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4)))

localize75.0ms (1.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 1 (pow.f64 N 4))
✓0.3b
(*.f64 (/.f64 1 N) (/.f64 1 N))
0.8b
(/.f64 1 (pow.f64 N 3))
✓21.8b
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (*.f64 (/.f64 1 N) (/.f64 1 N)))))
Compiler

Compiled 114 to 92 computations (19.3% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
N
@0
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (*.f64 (/.f64 1 N) (/.f64 1 N)))))
0.0ms
N
@-inf
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (*.f64 (/.f64 1 N) (/.f64 1 N)))))
0.0ms
N
@inf
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (*.f64 (/.f64 1 N) (/.f64 1 N)))))
0.0ms
N
@0
(*.f64 (/.f64 1 N) (/.f64 1 N))
0.0ms
N
@inf
(*.f64 (/.f64 1 N) (/.f64 1 N))

rewrite85.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
700×fma-neg_binary64
343×expm1-udef_binary64
343×log1p-udef_binary64
221×add-sqr-sqrt_binary64
212×add-log-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02039
147231
2645931
Stop Event
1×node limit
Counts
2 → 104
Calls
Call 1
Inputs
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (*.f64 (/.f64 1 N) (/.f64 1 N)))))
(*.f64 (/.f64 1 N) (/.f64 1 N))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 N) (*.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (pow.f64 N -3)) (-.f64 (/.f64 1 N) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (/.f64 1 N) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 (neg.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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1/2 (pow.f64 N -2)))) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 -1/4 (pow.f64 N -4))) (neg.f64 (*.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 -1/4 (pow.f64 N -4))) (*.f64 -1 (*.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 -1/4 (pow.f64 N -4))) (*.f64 -1/2 (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 -1/4 (pow.f64 N -4))) (*.f64 (neg.f64 (pow.f64 N -2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 -1/4 (pow.f64 N -4))) (*.f64 (neg.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 -1/4 (pow.f64 N -4))) (*.f64 (neg.f64 (*.f64 (/.f64 1 N) (sqrt.f64 1/2))) (*.f64 (/.f64 1 N) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 -1/4 (pow.f64 N -4))) (*.f64 (neg.f64 (/.f64 1/2 N)) (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) 2) (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))) (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) (pow.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (*.f64 (fma.f64 1/4 (pow.f64 N -4) (*.f64 1/2 (pow.f64 N -2))) (+.f64 (fma.f64 1/3 (pow.f64 N 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simplify68.0ms (1%)

Algorithm
1×egg-herbie
Rules
837×distribute-neg-frac_binary64
453×times-frac_binary64
419×distribute-rgt-neg-in_binary64
342×associate-*l*_binary64
335×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028303
179303
2178303
3422303
41387303
55908303
Stop Event
1×node limit
Counts
128 → 117
Calls
Call 1
Inputs
(/.f64 -1/4 (pow.f64 N 4))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
Outputs
(/.f64 -1/4 (pow.f64 N 4))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4))) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4))) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 1/4 (pow.f64 N 4))))
(-.f64 (-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1 N)) (*.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 (/.f64 1/4 N) 1/3)))
(-.f64 (-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1 N)) (*.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 1/4 N) -1/3)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1 N))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1 N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 1/4 (pow.f64 N 4))))
(-.f64 (-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1 N)) (*.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 (/.f64 1/4 N) 1/3)))
(-.f64 (-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1 N)) (*.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 1/4 N) -1/3)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1 N))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1 N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 1/4 (pow.f64 N 4))))
(-.f64 (-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1 N)) (*.f64 (/.f64 1 (pow.f64 N 3)) (-.f64 (/.f64 1/4 N) 1/3)))
(-.f64 (-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1 N)) (*.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 1/4 N) -1/3)))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))

eval317.0ms (4.4%)

Compiler

Compiled 16201 to 12129 computations (25.1% saved)

prune105.0ms (1.5%)

Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New6753678
Fresh011
Picked101
Done2810
Total67812690
Error
0b
Counts
690 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
✓29.7b
(-.f64 N (log.f64 N))
33.7b
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (*.f64 (/.f64 1 N) (/.f64 1 N)))))
✓28.3b
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (-.f64 (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 (cbrt.f64 N))))
29.0b
(/.f64 1 (+.f64 N 1/2))
✓33.2b
(+.f64 (/.f64 1 N) (/.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) N))
✓33.7b
(+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) (*.f64 N N)) N)))
✓28.1b
(log.f64 (/.f64 (+.f64 N 1) N))
✓28.3b
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
42.9b
(+.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2)))) 3) (-.f64 (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 (cbrt.f64 N))))
✓30.7b
(neg.f64 (log.f64 N))
✓32.2b
(/.f64 1 N)
61.0b
N
Compiler

Compiled 153 to 116 computations (24.2% saved)

regimes39.0ms (0.6%)

Counts
23 → 2
Calls
Call 1
Inputs
N
(/.f64 1 N)
(/.f64 1 (+.f64 N 1/2))
(/.f64 (+.f64 (/.f64 -1/2 N) 1) N)
(/.f64 1 (/.f64 N (+.f64 (/.f64 -1/2 N) 1)))
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) N))
(+.f64 (/.f64 1 N) (*.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 1/3 N) 1/2)))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) (*.f64 N N)) N)))
(neg.f64 (log.f64 N))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (*.f64 N N)) (*.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 -1/4 N) 1/3))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (*.f64 (/.f64 1 N) (/.f64 1 N)))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (*.f64 (/.f64 1 N) (/.f64 1 N)))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (-.f64 (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 (cbrt.f64 N))))
(+.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2)))) 3) (-.f64 (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 (cbrt.f64 N))))
Outputs
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (*.f64 (/.f64 1 N) (/.f64 1 N)))))
(log.f64 (/.f64 (+.f64 N 1) N))
Calls

2 calls:

21.0ms
N
9.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
ErrorSegmentsBranch
0.0b2N
0.0b2(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 293 to 211 computations (28% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
8.379168366801082e-5
0.003033087091697695
Compiler

Compiled 12 to 9 computations (25% saved)

regimes30.0ms (0.4%)

Counts
17 → 2
Calls
Call 1
Inputs
N
(/.f64 1 N)
(/.f64 1 (+.f64 N 1/2))
(/.f64 (+.f64 (/.f64 -1/2 N) 1) N)
(/.f64 1 (/.f64 N (+.f64 (/.f64 -1/2 N) 1)))
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) N))
(+.f64 (/.f64 1 N) (*.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 1/3 N) 1/2)))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) (*.f64 N N)) N)))
(neg.f64 (log.f64 N))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (*.f64 N N)) (*.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 -1/4 N) 1/3))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Outputs
(+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) (*.f64 N N)) N)))
(log.f64 (/.f64 (+.f64 N 1) N))
Calls

2 calls:

17.0ms
N
9.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
ErrorSegmentsBranch
0.0b2N
0.0b2(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 152 to 98 computations (35.5% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
8.379168366801082e-5
0.003033087091697695
Compiler

Compiled 12 to 9 computations (25% saved)

regimes17.0ms (0.2%)

Counts
13 → 2
Calls
Call 1
Inputs
N
(/.f64 1 N)
(/.f64 1 (+.f64 N 1/2))
(/.f64 (+.f64 (/.f64 -1/2 N) 1) N)
(/.f64 1 (/.f64 N (+.f64 (/.f64 -1/2 N) 1)))
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) N))
(+.f64 (/.f64 1 N) (*.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 1/3 N) 1/2)))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) (*.f64 N N)) N)))
(neg.f64 (log.f64 N))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
Outputs
(-.f64 N (log.f64 N))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) (*.f64 N N)) N)))
Calls

1 calls:

14.0ms
N
Results
ErrorSegmentsBranch
0.6b2N
Compiler

Compiled 105 to 67 computations (36.2% saved)

bsearch24.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
24.0ms
0.10266196555053207
1.2942125103405895
Compiler

Compiled 12 to 9 computations (25% saved)

regimes17.0ms (0.2%)

Counts
12 → 2
Calls
Call 1
Inputs
N
(/.f64 1 N)
(/.f64 1 (+.f64 N 1/2))
(/.f64 (+.f64 (/.f64 -1/2 N) 1) N)
(/.f64 1 (/.f64 N (+.f64 (/.f64 -1/2 N) 1)))
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) N))
(+.f64 (/.f64 1 N) (*.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 1/3 N) 1/2)))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) (*.f64 N N)) N)))
(neg.f64 (log.f64 N))
(neg.f64 (log.f64 N))
Outputs
(neg.f64 (log.f64 N))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) (*.f64 N N)) N)))
Calls

1 calls:

14.0ms
N
Results
ErrorSegmentsBranch
1.2b2N
Compiler

Compiled 101 to 66 computations (34.7% saved)

bsearch23.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
23.0ms
0.10266196555053207
1.2942125103405895
Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
N
(/.f64 1 N)
(/.f64 1 (+.f64 N 1/2))
(/.f64 (+.f64 (/.f64 -1/2 N) 1) N)
(/.f64 1 (/.f64 N (+.f64 (/.f64 -1/2 N) 1)))
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) N))
(+.f64 (/.f64 1 N) (*.f64 (/.f64 1 (*.f64 N N)) (-.f64 (/.f64 1/3 N) 1/2)))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) (*.f64 N N)) N)))
Outputs
(/.f64 1 (+.f64 N 1/2))
Calls

1 calls:

6.0ms
N
Results
ErrorSegmentsBranch
29.0b1N
Compiler

Compiled 95 to 64 computations (32.6% saved)

regimes4.0ms (0.1%)

Accuracy

Total -28.9b remaining (-89.7%)

Threshold costs -28.9b (-89.7%)

Counts
2 → 1
Calls
Call 1
Inputs
N
(/.f64 1 N)
Outputs
(/.f64 1 N)
Calls

1 calls:

3.0ms
N
Results
ErrorSegmentsBranch
32.2b1N
Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify13.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
048218
167218
278218
399218
4113218
5122218
6126218
7127218
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/73786976294838206464) (-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (*.f64 (/.f64 1 N) (/.f64 1 N))))) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/73786976294838206464) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) (*.f64 N N)) N))) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 N 1893779004614651648/18446744073709551616) (-.f64 N (log.f64 N)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) (*.f64 N N)) N))))
(if (<=.f64 N 1893779004614651648/18446744073709551616) (neg.f64 (log.f64 N)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) (*.f64 N N)) N))))
(/.f64 1 (+.f64 N 1/2))
(/.f64 1 N)
N
Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/73786976294838206464) (-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (*.f64 (/.f64 1 N) (/.f64 1 N))))) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/73786976294838206464) (+.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (*.f64 (/.f64 1 (pow.f64 N 4)) -1/4) (*.f64 (*.f64 (/.f64 1 N) (/.f64 1 N)) -1/2))) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/73786976294838206464) (+.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (+.f64 (*.f64 (/.f64 1 (pow.f64 N 4)) -1/4) (*.f64 1/2 (*.f64 (/.f64 1 N) (/.f64 -1 N))))) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/73786976294838206464) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) (*.f64 N N)) N))) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/73786976294838206464) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) (*.f64 N N)) N))) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 N 1893779004614651648/18446744073709551616) (-.f64 N (log.f64 N)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) (*.f64 N N)) N))))
(if (<=.f64 N 7397574236775983/72057594037927936) (-.f64 N (log.f64 N)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) (*.f64 N N)) N))))
(if (<=.f64 N 1893779004614651648/18446744073709551616) (neg.f64 (log.f64 N)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) (*.f64 N N)) N))))
(if (<=.f64 N 7397574236775983/72057594037927936) (neg.f64 (log.f64 N)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) (*.f64 N N)) N))))
(/.f64 1 (+.f64 N 1/2))
(/.f64 1 N)
N
Compiler

Compiled 153 to 108 computations (29.4% saved)

soundness0.0ms (0%)

end75.0ms (1.1%)

Compiler

Compiled 147 to 97 computations (34% saved)

Profiling

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