Details

Time bar (total: 3.8s)

analyze115.0ms (3%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
18.8%18.7%81.2%0.1%0%0%0%6
46.9%46.8%53.1%0.1%0%0%0%7
56.3%56.2%43.7%0.1%0%0%0%8
71.1%71%28.9%0.1%0%0%0%9
76.6%76.5%23.4%0.1%0%0%0%10
85%84.9%15%0.1%0%0%0%11
87.9%87.8%12.1%0.1%0%0%0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample830.0ms (21.6%)

Results
818.0ms8256×body256valid
Bogosity

preprocess124.0ms (3.2%)

Algorithm
2×egg-herbie
Rules
762×fma-neg_binary64
504×fma-def_binary64
427×times-frac_binary64
366×div-sub_binary64
224×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01124
12924
25524
311624
427124
556820
6141020
7356520
8460220
9490920
10505020
11508820
12509820
13509820
022
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (neg.f64 (+.f64 n f)) (-.f64 n f))
Outputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 n) f) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 f) n) (-.f64 f n))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 n f)) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 n f))
(/.f64 (-.f64 (neg.f64 n) f) (-.f64 n f))
(/.f64 (-.f64 (neg.f64 f) n) (-.f64 n f))
(/.f64 (+.f64 f n) (-.f64 f n))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify108.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
694×fma-def_binary64
621×fma-neg_binary64
451×times-frac_binary64
308×div-sub_binary64
194×associate-/l*_binary64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
0712
11812
23812
38212
418212
533012
681810
7253310
8344610
9415410
10427510
11431810
12432810
13432810
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Outputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 n) f) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 f) n) (-.f64 f n))
(/.f64 (+.f64 f n) (-.f64 n f))

eval1.0ms (0%)

Compiler

Compiled 17 to 8 computations (52.9% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
Compiler

Compiled 9 to 5 computations (44.4% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
Compiler

Compiled 17 to 5 computations (70.6% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
f
@0
(/.f64 (+.f64 f n) (-.f64 n f))
1.0ms
f
@inf
(/.f64 (+.f64 f n) (-.f64 n f))
1.0ms
n
@0
(/.f64 (+.f64 f n) (-.f64 n f))
1.0ms
n
@inf
(/.f64 (+.f64 f n) (-.f64 n f))
1.0ms
n
@-inf
(/.f64 (+.f64 f n) (-.f64 n f))

rewrite49.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
945×pow1_binary64
884×add-log-exp_binary64
884×log1p-expm1-u_binary64
884×expm1-log1p-u_binary64
79×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
114410
2231310
Stop Event
1×node limit
Counts
1 → 34
Calls
Call 1
Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 f n) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (*.f64 (cbrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 f n)) (*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 f n)) (/.f64 1 (neg.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) 1) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 f n)) 1) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 f n) (-.f64 (*.f64 n n) (*.f64 f f))) (+.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (*.f64 f (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.f64 n f) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))))

simplify65.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
665×times-frac_binary64
552×div-sub_binary64
525×fma-def_binary64
460×distribute-frac-neg_binary64
352×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
079504
1264441
2942327
34893327
Stop Event
1×node limit
Counts
58 → 57
Calls
Call 1
Inputs
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f)))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (pow.f64 f 3))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)))) 1)
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
Outputs
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(fma.f64 2 (/.f64 f n) 1)
(+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n))))
(fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)))
(+.f64 (*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n)))) (fma.f64 2 (pow.f64 (/.f64 f n) 3) 1))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f))
(fma.f64 (/.f64 n f) -2 -1)
(-.f64 (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))))
(-.f64 (-.f64 (*.f64 (/.f64 n f) (*.f64 (/.f64 n f) -2)) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f)))
(+.f64 (/.f64 (*.f64 n n) (/.f64 (pow.f64 f 3) (-.f64 (neg.f64 n) n))) (+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))))
(-.f64 (-.f64 (*.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 (/.f64 n f) (/.f64 n f)))) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))) -1)
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)) 1)
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f))
(fma.f64 (/.f64 n f) -2 -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1)
(+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))))
(-.f64 (-.f64 (*.f64 (/.f64 n f) (*.f64 (/.f64 n f) -2)) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (pow.f64 f 3))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)))) 1)
(+.f64 (/.f64 (*.f64 n n) (/.f64 (pow.f64 f 3) (-.f64 (neg.f64 n) n))) (+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))))
(-.f64 (-.f64 (*.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 (/.f64 n f) (/.f64 n f)))) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))) -1)
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f))
(fma.f64 (/.f64 n f) -2 -1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f))) 1)
(+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))))
(-.f64 (-.f64 (*.f64 (/.f64 n f) (*.f64 (/.f64 n f) -2)) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
(+.f64 (/.f64 (*.f64 n n) (/.f64 (pow.f64 f 3) (-.f64 (neg.f64 n) n))) (+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))))
(-.f64 (-.f64 (*.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 (/.f64 n f) (/.f64 n f)))) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))) -1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n))))
(fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n)))))
(-.f64 (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)))
(+.f64 (*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n)))) (fma.f64 2 (pow.f64 (/.f64 f n) 3) 1))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n))))
(fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n)))))
(-.f64 (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)))
(+.f64 (*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n)))) (fma.f64 2 (pow.f64 (/.f64 f n) 3) 1))

eval14.0ms (0.4%)

Compiler

Compiled 845 to 389 computations (54% saved)

prune78.0ms (2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New51657
Fresh000
Picked011
Done000
Total51758
Error
0b
Counts
58 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶33.2b
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
▶29.6b
(+.f64 (*.f64 2 (/.f64 f n)) 1)
▶0.0b
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
✓0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
▶0.0b
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
33.7b
-1
29.9b
1
Compiler

Compiled 56 to 40 computations (28.6% saved)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
✓0.5b
(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
Compiler

Compiled 34 to 7 computations (79.4% saved)

series8.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
n
@inf
(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms
f
@0
(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms
n
@0
(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms
f
@inf
(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms
f
@-inf
(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

rewrite72.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
793×prod-diff_binary64
596×unpow-prod-down_binary64
425×log-prod_binary64
317×fma-def_binary64
227×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
116622
2252022
Stop Event
1×node limit
Counts
2 → 122
Calls
Call 1
Inputs
(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
Outputs
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(pow.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (sqrt.f64 (-.f64 n f))) 1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 (*.f64 n n) (*.f64 f f))) 1) (+.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) 1) (fma.f64 f (+.f64 f n) (*.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (+.f64 f n)) 1/3) (cbrt.f64 (/.f64 1 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (pow.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 n f)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (+.f64 f n)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 f n)) 2)) -1) (pow.f64 (/.f64 (-.f64 n f) (cbrt.f64 (+.f64 f n))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (pow.f64 (cbrt.f64 (+.f64 f n)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (cbrt.f64 (+.f64 f n))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (+.f64 f n)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (cbrt.f64 (+.f64 f n))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 f n))) -1) (pow.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (sqrt.f64 (+.f64 f n))) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (sqrt.f64 (+.f64 f n))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (sqrt.f64 (+.f64 f n))) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (sqrt.f64 (+.f64 f n))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 (pow.f64 n 3) (pow.f64 f 3))) -1) (/.f64 1 (fma.f64 f f (*.f64 n (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 n f) (-.f64 (*.f64 f f) (*.f64 n n))) -1) (/.f64 1 (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 f n) (-.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (-.f64 n f) (+.f64 f n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (/.f64 (-.f64 n f) (cbrt.f64 (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 f n)) (neg.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 (-.f64 n f) (fma.f64 f f (*.f64 n (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (*.f64 (-.f64 n f) (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (-.f64 n f) (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (+.f64 f n))) (neg.f64 (neg.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) 1) (*.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) 1) (*.f64 (-.f64 f n) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 f n) 1) (-.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 1 (-.f64 n f))) (fma.f64 f f (*.f64 n (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 1 (-.f64 n f))) (-.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.f64 n f) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 n f) (+.f64 f n)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.f64 n f) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1))))))

simplify72.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
762×associate-/l*_binary64
757×associate-/r*_binary64
547×associate-*l*_binary64
233×fma-neg_binary64
213×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02171456
17171244
224851019
Stop Event
1×node limit
Counts
170 → 178
Calls
Call 1
Inputs
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (E.f64) (*.f64 2 (/.f64 (*.f64 (E.f64) f) n))) 1)
(-.f64 (+.f64 (*.f64 4 (/.f64 (*.f64 (E.f64) (pow.f64 f 2)) (pow.f64 n 2))) (+.f64 (E.f64) (*.f64 2 (/.f64 (*.f64 (E.f64) f) n)))) 1)
(-.f64 (+.f64 (*.f64 4 (/.f64 (*.f64 (E.f64) (pow.f64 f 2)) (pow.f64 n 2))) (+.f64 (E.f64) (+.f64 (*.f64 22/3 (/.f64 (*.f64 (E.f64) (pow.f64 f 3)) (pow.f64 n 3))) (*.f64 2 (/.f64 (*.f64 (E.f64) f) n))))) 1)
(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 n) n) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (exp.f64 -1) (+.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 n) n) 2)))) (pow.f64 f 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 n) n) 3)) (+.f64 (*.f64 n (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)))) (exp.f64 -1)) (pow.f64 f 3)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)))) 1)
(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (exp.f64 -1)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (-.f64 n (*.f64 -1 n)))) (*.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (exp.f64 -1))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (-.f64 n (*.f64 -1 n)))) (*.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (exp.f64 -1) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (+.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (*.f64 1/6 (pow.f64 (-.f64 n (*.f64 -1 n)) 3)))) (exp.f64 -1)) (pow.f64 f 3)))))) 1)
(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 n (exp.f64 -1)) f)) (exp.f64 -1)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 n (exp.f64 -1)) f)) (+.f64 (exp.f64 -1) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3))))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 n (exp.f64 -1)) f)) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (pow.f64 n 4) (exp.f64 -1)) (pow.f64 f 4))) (+.f64 (exp.f64 -1) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3)))))) 1)
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (E.f64) (/.f64 (*.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n)) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (pow.f64 n 2)) (/.f64 (*.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (pow.f64 n 2)) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 f (pow.f64 (-.f64 f (*.f64 -1 f)) 2)) (+.f64 (*.f64 1/6 (pow.f64 (-.f64 f (*.f64 -1 f)) 3)) (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2))))) (pow.f64 n 3))))) 1)
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (E.f64) (/.f64 (*.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n)) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (pow.f64 n 2)) (/.f64 (*.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (pow.f64 n 2)) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n) (*.f64 -1 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1/6 (pow.f64 (-.f64 f (*.f64 -1 f)) 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 2) f)) (*.f64 -1 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)))))) (pow.f64 n 3)))))) 1)
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f)))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (pow.f64 f 3))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)))) 1)
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
Outputs
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (+.f64 (E.f64) (*.f64 2 (/.f64 (*.f64 (E.f64) f) n))) 1)
(+.f64 (+.f64 (E.f64) (*.f64 2 (/.f64 (E.f64) (/.f64 n f)))) -1)
(+.f64 (E.f64) (fma.f64 2 (*.f64 (/.f64 (E.f64) n) f) -1))
(+.f64 (E.f64) (fma.f64 2 (*.f64 (/.f64 f n) (E.f64)) -1))
(-.f64 (+.f64 (*.f64 4 (/.f64 (*.f64 (E.f64) (pow.f64 f 2)) (pow.f64 n 2))) (+.f64 (E.f64) (*.f64 2 (/.f64 (*.f64 (E.f64) f) n)))) 1)
(+.f64 (fma.f64 4 (/.f64 (E.f64) (/.f64 (*.f64 n n) (*.f64 f f))) (+.f64 (E.f64) (*.f64 2 (/.f64 (E.f64) (/.f64 n f))))) -1)
(+.f64 (fma.f64 4 (*.f64 (/.f64 (E.f64) n) (/.f64 (*.f64 f f) n)) (fma.f64 2 (*.f64 (/.f64 (E.f64) n) f) (E.f64))) -1)
(+.f64 (*.f64 (/.f64 (E.f64) n) (+.f64 (+.f64 f f) (/.f64 (*.f64 4 (*.f64 f f)) n))) (expm1.f64 1))
(-.f64 (+.f64 (*.f64 4 (/.f64 (*.f64 (E.f64) (pow.f64 f 2)) (pow.f64 n 2))) (+.f64 (E.f64) (+.f64 (*.f64 22/3 (/.f64 (*.f64 (E.f64) (pow.f64 f 3)) (pow.f64 n 3))) (*.f64 2 (/.f64 (*.f64 (E.f64) f) n))))) 1)
(+.f64 (fma.f64 4 (/.f64 (E.f64) (/.f64 (*.f64 n n) (*.f64 f f))) (+.f64 (E.f64) (fma.f64 22/3 (/.f64 (E.f64) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 2 (/.f64 (E.f64) (/.f64 n f)))))) -1)
(fma.f64 4 (*.f64 (/.f64 (E.f64) n) (/.f64 (*.f64 f f) n)) (+.f64 (fma.f64 22/3 (*.f64 (/.f64 (E.f64) (pow.f64 n 3)) (pow.f64 f 3)) (*.f64 2 (*.f64 (/.f64 (E.f64) n) f))) (expm1.f64 1)))
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1
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(-.f64 (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)) 1)
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f))
(fma.f64 -2 (/.f64 n f) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1)
(+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))))
(-.f64 (-.f64 (*.f64 (/.f64 -2 f) (/.f64 n (/.f64 f n))) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (pow.f64 f 3))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)))) 1)
(+.f64 (/.f64 (*.f64 n n) (/.f64 (pow.f64 f 3) (-.f64 (neg.f64 n) n))) (+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))))
(-.f64 (-.f64 (*.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 (/.f64 n f) (/.f64 n f)))) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (+.f64 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) (pow.f64 (/.f64 n f) 3)) -1)
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f))
(fma.f64 -2 (/.f64 n f) -1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f))) 1)
(+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))))
(-.f64 (-.f64 (*.f64 (/.f64 -2 f) (/.f64 n (/.f64 f n))) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
(+.f64 (/.f64 (*.f64 n n) (/.f64 (pow.f64 f 3) (-.f64 (neg.f64 n) n))) (+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))))
(-.f64 (-.f64 (*.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 (/.f64 n f) (/.f64 n f)))) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (+.f64 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) (pow.f64 (/.f64 n f) 3)) -1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n))))
(fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 2 (/.f64 2 (/.f64 n f)))))
(-.f64 (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(+.f64 (/.f64 f (/.f64 (*.f64 n n) (-.f64 f (neg.f64 f)))) (-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (pow.f64 n 3) (*.f64 f f))))) (/.f64 (neg.f64 f) n)))
(+.f64 (/.f64 f n) (+.f64 (+.f64 (/.f64 f n) (/.f64 (*.f64 2 (pow.f64 f 3)) (pow.f64 n 3))) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)))
(+.f64 (+.f64 (/.f64 f n) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 f n) 3)))) (*.f64 (/.f64 f n) (fma.f64 2 (/.f64 f n) 1)))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n))))
(fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 2 (/.f64 2 (/.f64 n f)))))
(-.f64 (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(+.f64 (/.f64 f (/.f64 (*.f64 n n) (-.f64 f (neg.f64 f)))) (-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (pow.f64 n 3) (*.f64 f f))))) (/.f64 (neg.f64 f) n)))
(+.f64 (/.f64 f n) (+.f64 (+.f64 (/.f64 f n) (/.f64 (*.f64 2 (pow.f64 f 3)) (pow.f64 n 3))) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)))
(+.f64 (+.f64 (/.f64 f n) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 f n) 3)))) (*.f64 (/.f64 f n) (fma.f64 2 (/.f64 f n) 1)))

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 2 (/.f64 f n))
Compiler

Compiled 21 to 11 computations (47.6% saved)

series5.0ms (0.1%)

Counts
1 → 0
Calls

6 calls:

TimeVariablePointExpression
2.0ms
f
@inf
(*.f64 2 (/.f64 f n))
1.0ms
f
@0
(*.f64 2 (/.f64 f n))
1.0ms
n
@inf
(*.f64 2 (/.f64 f n))
1.0ms
n
@0
(*.f64 2 (/.f64 f n))
1.0ms
f
@-inf
(*.f64 2 (/.f64 f n))

rewrite76.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
652×pow1_binary64
604×add-log-exp_binary64
604×log1p-expm1-u_binary64
604×expm1-log1p-u_binary64
592×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11277
216087
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.f64 2 (/.f64 f n))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2 (/.f64 f n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 n (*.f64 2 f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 f) n)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 f)) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 f) 1) n)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 f) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 f) (sqrt.f64 n)) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 f) 2) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 f)) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 f n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (/.f64 f n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (/.f64 f n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 f n) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (/.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (/.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (/.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (/.f64 f n))))))))

simplify6.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
20 → 20
Calls
Call 1
Inputs
Outputs

localize8.0ms (0.2%)

Compiler

Compiled 21 to 11 computations (47.6% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
✓0.0b
(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
Compiler

Compiled 36 to 9 computations (75% saved)

series86.0ms (2.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
63.0ms
f
@inf
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
4.0ms
n
@-inf
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
3.0ms
f
@-inf
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
3.0ms
n
@0
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
2.0ms
n
@inf
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)

rewrite68.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
758×prod-diff_binary64
457×log-prod_binary64
325×pow-prod-down_binary64
315×fma-def_binary64
248×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0922
121222
2281322
Stop Event
1×node limit
Counts
2 → 92
Calls
Call 1
Inputs
(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 f n)) (/.f64 1 (cbrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1/6) (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (-.f64 n f)) (cbrt.f64 (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 (+.f64 f n))) (cbrt.f64 (neg.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (+.f64 f n))) (neg.f64 (cbrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 f n))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (cbrt.f64 (+.f64 f n))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 f n) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 f n) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 f n) 2)) (*.f64 (cbrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1/6) (*.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1/6) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 f n)) (*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 f n)) (/.f64 1 (neg.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 f n) 2)) 1) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 f n)) 1) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 n f) -1/2) (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 f n) 2)) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))))))) 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1))))))

simplify152.0ms (4%)

Algorithm
1×egg-herbie
Rules
550×fma-def_binary64
454×associate-*r*_binary64
370×associate-*l*_binary64
365×*-commutative_binary64
297×associate-+r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04384952
115624377
268814312
Stop Event
1×node limit
Counts
140 → 168
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 2/3 (/.f64 f n)))
(+.f64 1 (+.f64 (*.f64 2/9 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 2/3 (/.f64 f n))))
(+.f64 1 (+.f64 (*.f64 22/81 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2/9 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 2/3 (/.f64 f n)))))
(cbrt.f64 -1)
(+.f64 (cbrt.f64 -1) (*.f64 1/3 (*.f64 (/.f64 (-.f64 (*.f64 -1 n) n) f) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))))
(+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (-.f64 (*.f64 -1 n) n) f) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (*.f64 -1/3 (/.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 (*.f64 -1 n) n) 2))) (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1 n) n)))) (*.f64 (pow.f64 f 2) (pow.f64 (cbrt.f64 -1) 2))))))
(+.f64 (*.f64 -1/3 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n))) (+.f64 (*.f64 1/27 (/.f64 (pow.f64 (-.f64 (*.f64 -1 n) n) 3) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (*.f64 (+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1 n) n))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 (*.f64 -1 n) n) 2)))) (-.f64 (*.f64 -1 n) n)))))) (*.f64 (pow.f64 f 3) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (-.f64 (*.f64 -1 n) n) f) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (*.f64 -1/3 (/.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 (*.f64 -1 n) n) 2))) (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1 n) n)))) (*.f64 (pow.f64 f 2) (pow.f64 (cbrt.f64 -1) 2)))))))
(cbrt.f64 -1)
(+.f64 (*.f64 -1/3 (*.f64 (/.f64 (-.f64 n (*.f64 -1 n)) f) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (cbrt.f64 -1))
(+.f64 (*.f64 -1/3 (*.f64 (/.f64 (-.f64 n (*.f64 -1 n)) f) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (cbrt.f64 -1) (*.f64 -1/3 (/.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (*.f64 n (-.f64 n (*.f64 -1 n)))) (*.f64 (pow.f64 f 2) (pow.f64 (cbrt.f64 -1) 2))))))
(+.f64 (*.f64 -1/3 (*.f64 (/.f64 (-.f64 n (*.f64 -1 n)) f) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n)))) (+.f64 (*.f64 1/27 (/.f64 (pow.f64 (-.f64 n (*.f64 -1 n)) 3) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -2/3 (*.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (*.f64 n (-.f64 n (*.f64 -1 n)))) (-.f64 n (*.f64 -1 n))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3))))) (*.f64 (pow.f64 f 3) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (cbrt.f64 -1) (*.f64 -1/3 (/.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (*.f64 n (-.f64 n (*.f64 -1 n)))) (*.f64 (pow.f64 f 2) (pow.f64 (cbrt.f64 -1) 2)))))))
(cbrt.f64 -1)
(+.f64 (*.f64 -2/3 (*.f64 (/.f64 n f) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (cbrt.f64 -1))
(+.f64 (*.f64 -2/3 (*.f64 (/.f64 n f) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (cbrt.f64 -1) (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 f 2))) (*.f64 4/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 1 (pow.f64 f 2)))))) (pow.f64 (cbrt.f64 -1) 2)))))
(+.f64 (*.f64 -2/3 (*.f64 (/.f64 n f) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 n 3) (-.f64 (*.f64 8/27 (/.f64 1 (*.f64 (pow.f64 f 3) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 f 3))) (*.f64 4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 (+.f64 (*.f64 4/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 1 (pow.f64 f 2)))) (*.f64 2 (/.f64 1 (pow.f64 f 2)))) f)))))) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 f 2))) (*.f64 4/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 1 (pow.f64 f 2)))))) (pow.f64 (cbrt.f64 -1) 2))))))
1
(+.f64 1 (*.f64 1/3 (/.f64 (-.f64 f (*.f64 -1 f)) n)))
(+.f64 1 (+.f64 (*.f64 -1/3 (/.f64 (+.f64 (*.f64 -1 (*.f64 f (-.f64 f (*.f64 -1 f)))) (*.f64 1/3 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (pow.f64 n 2))) (*.f64 1/3 (/.f64 (-.f64 f (*.f64 -1 f)) n))))
(+.f64 1 (+.f64 (*.f64 -1/3 (/.f64 (+.f64 (*.f64 -1 (*.f64 f (-.f64 f (*.f64 -1 f)))) (*.f64 1/3 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (pow.f64 n 2))) (+.f64 (*.f64 -1/3 (/.f64 (+.f64 (*.f64 1/27 (pow.f64 (-.f64 f (*.f64 -1 f)) 3)) (+.f64 (*.f64 -2/3 (*.f64 (-.f64 f (*.f64 -1 f)) (+.f64 (*.f64 -1 (*.f64 f (-.f64 f (*.f64 -1 f)))) (*.f64 1/3 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))))) (*.f64 -1 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2))))) (pow.f64 n 3))) (*.f64 1/3 (/.f64 (-.f64 f (*.f64 -1 f)) n)))))
(pow.f64 (cbrt.f64 -1) 2)
(+.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 -1/3 (*.f64 (/.f64 (-.f64 f (*.f64 -1 f)) n) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))))
(+.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (-.f64 f (*.f64 -1 f)) n) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 -1/3 (/.f64 (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (*.f64 (pow.f64 n 2) (cbrt.f64 -1))))))
(+.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (-.f64 f (*.f64 -1 f)) n) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (*.f64 -1/3 (/.f64 (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (*.f64 (pow.f64 n 2) (cbrt.f64 -1)))) (*.f64 1/3 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 f 2) (-.f64 f (*.f64 -1 f)))) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (*.f64 (-.f64 f (*.f64 -1 f)) (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 f (*.f64 -1 f)) 2))))))) (*.f64 1/27 (/.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 3) (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 (pow.f64 n 3) (cbrt.f64 -1)))))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
-1
(-.f64 (+.f64 (*.f64 2/3 (*.f64 (/.f64 (-.f64 (*.f64 -1 n) n) f) (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 1/3 (*.f64 (/.f64 (-.f64 (*.f64 -1 n) n) f) (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) 1)
(-.f64 (+.f64 (*.f64 2/9 (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 n) n) 2) (pow.f64 f 2)) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (-.f64 (*.f64 -1 n) n) 2))) (*.f64 -2/3 (/.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 (*.f64 -1 n) n) 2))) (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1 n) n)))) (cbrt.f64 -1)))) (cbrt.f64 -1)) (pow.f64 f 2)) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (-.f64 (*.f64 -1 n) n) f) (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (+.f64 (*.f64 2/3 (*.f64 (/.f64 (-.f64 (*.f64 -1 n) n) f) (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -1/3 (/.f64 (+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1 n) n))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 (*.f64 -1 n) n) 2)))) (pow.f64 f 2))))))) 1)
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-1
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-1
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1
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(pow.f64 (cbrt.f64 -1) 6)
(+.f64 (pow.f64 (cbrt.f64 -1) 6) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 13)) 1/3) (-.f64 f (*.f64 -1 f)))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 13)) 1/3) (-.f64 f (*.f64 -1 f))))) n)))
(+.f64 (*.f64 1/3 (/.f64 (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (pow.f64 n 2))) (+.f64 (*.f64 2/9 (*.f64 (/.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 2) (pow.f64 n 2)) (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3))) (+.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (*.f64 -2/3 (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))))))) (pow.f64 n 2)) (+.f64 (pow.f64 (cbrt.f64 -1) 6) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 13)) 1/3) (-.f64 f (*.f64 -1 f)))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 13)) 1/3) (-.f64 f (*.f64 -1 f))))) n))))))
(+.f64 (*.f64 1/3 (/.f64 (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (pow.f64 n 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (*.f64 (-.f64 f (*.f64 -1 f)) (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 f (*.f64 -1 f)) 2))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 f 2) (-.f64 f (*.f64 -1 f)))) (*.f64 1/27 (/.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 3) (pow.f64 (cbrt.f64 -1) 2)))))) (+.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (*.f64 -2/9 (*.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 f (*.f64 -1 f)) 2))))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (*.f64 -2/3 (*.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 f 2) (-.f64 f (*.f64 -1 f)))) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (*.f64 (-.f64 f (*.f64 -1 f)) (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 f (*.f64 -1 f)) 2))))))) (*.f64 1/27 (/.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 3) (pow.f64 (cbrt.f64 -1) 2))))) (cbrt.f64 -1))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3) (*.f64 (-.f64 f (*.f64 -1 f)) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (*.f64 -2/3 (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))))))))) (*.f64 -2/9 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (*.f64 (-.f64 f (*.f64 -1 f)) (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))))))))) (pow.f64 n 3))) (+.f64 (*.f64 2/9 (*.f64 (/.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 2) (pow.f64 n 2)) (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3))) (+.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (*.f64 -2/3 (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))))))) (pow.f64 n 2)) (+.f64 (pow.f64 (cbrt.f64 -1) 6) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 13)) 1/3) (-.f64 f (*.f64 -1 f)))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 13)) 1/3) (-.f64 f (*.f64 -1 f))))) n)))))))
Outputs
1
(+.f64 1 (*.f64 2/3 (/.f64 f n)))
(fma.f64 2/3 (/.f64 f n) 1)
(+.f64 1 (+.f64 (*.f64 2/9 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 2/3 (/.f64 f n))))
(+.f64 1 (fma.f64 2/9 (/.f64 (*.f64 f f) (*.f64 n n)) (*.f64 2/3 (/.f64 f n))))
(+.f64 1 (fma.f64 2/9 (*.f64 (/.f64 f n) (/.f64 f n)) (*.f64 2/3 (/.f64 f n))))
(+.f64 1 (+.f64 (*.f64 22/81 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2/9 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 2/3 (/.f64 f n)))))
(+.f64 1 (fma.f64 22/81 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2/9 (/.f64 (*.f64 f f) (*.f64 n n)) (*.f64 2/3 (/.f64 f n)))))
(+.f64 1 (fma.f64 22/81 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2/9 (*.f64 (/.f64 f n) (/.f64 f n)) (*.f64 2/3 (/.f64 f n)))))
(+.f64 1 (fma.f64 22/81 (pow.f64 (/.f64 f n) 3) (fma.f64 2/9 (*.f64 (/.f64 f n) (/.f64 f n)) (*.f64 2/3 (/.f64 f n)))))
(cbrt.f64 -1)
(+.f64 (cbrt.f64 -1) (*.f64 1/3 (*.f64 (/.f64 (-.f64 (*.f64 -1 n) n) f) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))))
(+.f64 (cbrt.f64 -1) (*.f64 1/3 (*.f64 (/.f64 (-.f64 (neg.f64 n) n) f) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))
(fma.f64 1/3 (*.f64 (/.f64 (*.f64 n -2) f) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1))
(+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (-.f64 (*.f64 -1 n) n) f) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (*.f64 -1/3 (/.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 (*.f64 -1 n) n) 2))) (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1 n) n)))) (*.f64 (pow.f64 f 2) (pow.f64 (cbrt.f64 -1) 2))))))
(+.f64 (cbrt.f64 -1) (fma.f64 1/3 (*.f64 (/.f64 (-.f64 (neg.f64 n) n) f) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -1/3 (/.f64 (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (-.f64 (neg.f64 n) n) 2)) (*.f64 (neg.f64 n) (-.f64 (neg.f64 n) n))) (*.f64 (*.f64 f f) (pow.f64 (cbrt.f64 -1) 2))))))
(+.f64 (cbrt.f64 -1) (fma.f64 -1/3 (/.f64 (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (*.f64 n -2) 2)) (*.f64 n (neg.f64 (*.f64 n -2)))) (*.f64 f (*.f64 f (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 1/3 (/.f64 (*.f64 n -2) f)))))
(+.f64 (cbrt.f64 -1) (fma.f64 -1/3 (/.f64 (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (+.f64 n n) 2)) (*.f64 n (+.f64 n n))) (*.f64 f (*.f64 f (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 1/3 (/.f64 (*.f64 n -2) f)))))
(+.f64 (*.f64 -1/3 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n))) (+.f64 (*.f64 1/27 (/.f64 (pow.f64 (-.f64 (*.f64 -1 n) n) 3) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (*.f64 (+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1 n) n))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 (*.f64 -1 n) n) 2)))) (-.f64 (*.f64 -1 n) n)))))) (*.f64 (pow.f64 f 3) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (-.f64 (*.f64 -1 n) n) f) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (*.f64 -1/3 (/.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 (*.f64 -1 n) n) 2))) (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1 n) n)))) (*.f64 (pow.f64 f 2) (pow.f64 (cbrt.f64 -1) 2)))))))
(fma.f64 -1/3 (/.f64 (fma.f64 -1 (*.f64 (*.f64 n n) (-.f64 (neg.f64 n) n)) (fma.f64 1/27 (/.f64 (pow.f64 (-.f64 (neg.f64 n) n) 3) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 (*.f64 -2/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (*.f64 (-.f64 (neg.f64 n) n) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (-.f64 (neg.f64 n) n) 2)) (*.f64 (neg.f64 n) (-.f64 (neg.f64 n) n))))))) (*.f64 (pow.f64 f 3) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (cbrt.f64 -1) (fma.f64 1/3 (*.f64 (/.f64 (-.f64 (neg.f64 n) n) f) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -1/3 (/.f64 (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (-.f64 (neg.f64 n) n) 2)) (*.f64 (neg.f64 n) (-.f64 (neg.f64 n) n))) (*.f64 (*.f64 f f) (pow.f64 (cbrt.f64 -1) 2)))))))
(fma.f64 -1/3 (/.f64 (-.f64 (fma.f64 -2/3 (*.f64 (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (*.f64 n -2) 2)) (*.f64 n (neg.f64 (*.f64 n -2)))) (*.f64 (*.f64 n -2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (/.f64 1/27 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (*.f64 n -2) 3)))) (*.f64 n (*.f64 n (*.f64 n -2)))) (*.f64 (pow.f64 f 3) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (cbrt.f64 -1) (fma.f64 -1/3 (/.f64 (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (*.f64 n -2) 2)) (*.f64 n (neg.f64 (*.f64 n -2)))) (*.f64 f (*.f64 f (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 1/3 (/.f64 (*.f64 n -2) f))))))
(fma.f64 -1/3 (/.f64 (+.f64 (+.f64 (pow.f64 n 3) (pow.f64 n 3)) (fma.f64 -2/3 (*.f64 (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (+.f64 n n) 2)) (*.f64 n (+.f64 n n))) (*.f64 (*.f64 n -2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (/.f64 1/27 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (pow.f64 n 3) -8))))) (*.f64 (pow.f64 f 3) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (cbrt.f64 -1) (fma.f64 -1/3 (/.f64 (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (+.f64 n n) 2)) (*.f64 n (+.f64 n n))) (*.f64 f (*.f64 f (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 1/3 (/.f64 (*.f64 n -2) f))))))
(cbrt.f64 -1)
(+.f64 (*.f64 -1/3 (*.f64 (/.f64 (-.f64 n (*.f64 -1 n)) f) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (cbrt.f64 -1))
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 (-.f64 n (neg.f64 n)) f)) (cbrt.f64 -1))
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 (+.f64 n n) f)) (cbrt.f64 -1))
(+.f64 (*.f64 -1/3 (*.f64 (/.f64 (-.f64 n (*.f64 -1 n)) f) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (cbrt.f64 -1) (*.f64 -1/3 (/.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (*.f64 n (-.f64 n (*.f64 -1 n)))) (*.f64 (pow.f64 f 2) (pow.f64 (cbrt.f64 -1) 2))))))
(+.f64 (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 (-.f64 n (neg.f64 n)) f)) (cbrt.f64 -1)) (/.f64 (*.f64 -1/3 (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (-.f64 n (neg.f64 n)) 2)) (*.f64 n (-.f64 n (neg.f64 n))))) (*.f64 (*.f64 f f) (pow.f64 (cbrt.f64 -1) 2))))
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 (+.f64 n n) f)) (fma.f64 -1/3 (/.f64 (fma.f64 n (+.f64 n n) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (*.f64 (pow.f64 (+.f64 n n) 2) 1/3))) (*.f64 f (*.f64 f (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1)))
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 (+.f64 n n) f)) (fma.f64 -1/3 (/.f64 (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (+.f64 n n) 2)) (*.f64 n (+.f64 n n))) (*.f64 f (*.f64 f (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1)))
(+.f64 (*.f64 -1/3 (*.f64 (/.f64 (-.f64 n (*.f64 -1 n)) f) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n)))) (+.f64 (*.f64 1/27 (/.f64 (pow.f64 (-.f64 n (*.f64 -1 n)) 3) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -2/3 (*.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (*.f64 n (-.f64 n (*.f64 -1 n)))) (-.f64 n (*.f64 -1 n))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3))))) (*.f64 (pow.f64 f 3) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (cbrt.f64 -1) (*.f64 -1/3 (/.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (*.f64 n (-.f64 n (*.f64 -1 n)))) (*.f64 (pow.f64 f 2) (pow.f64 (cbrt.f64 -1) 2)))))))
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1
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1
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(pow.f64 (cbrt.f64 -1) 6)
1
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(+.f64 (*.f64 1/3 (/.f64 (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (pow.f64 n 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (*.f64 (-.f64 f (*.f64 -1 f)) (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 f (*.f64 -1 f)) 2))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 f 2) (-.f64 f (*.f64 -1 f)))) (*.f64 1/27 (/.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 3) (pow.f64 (cbrt.f64 -1) 2)))))) (+.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (*.f64 -2/9 (*.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 f (*.f64 -1 f)) 2))))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (*.f64 -2/3 (*.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 f 2) (-.f64 f (*.f64 -1 f)))) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (*.f64 (-.f64 f (*.f64 -1 f)) (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 f (*.f64 -1 f)) 2))))))) (*.f64 1/27 (/.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 3) (pow.f64 (cbrt.f64 -1) 2))))) (cbrt.f64 -1))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3) (*.f64 (-.f64 f (*.f64 -1 f)) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (*.f64 -2/3 (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))))))))) (*.f64 -2/9 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (*.f64 (-.f64 f (*.f64 -1 f)) (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))))))))) (pow.f64 n 3))) (+.f64 (*.f64 2/9 (*.f64 (/.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 2) (pow.f64 n 2)) (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3))) (+.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (*.f64 -2/3 (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))))))) (pow.f64 n 2)) (+.f64 (pow.f64 (cbrt.f64 -1) 6) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 13)) 1/3) (-.f64 f (*.f64 -1 f)))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 13)) 1/3) (-.f64 f (*.f64 -1 f))))) n)))))))
(fma.f64 1/3 (/.f64 (fma.f64 f (-.f64 f (neg.f64 f)) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (pow.f64 (-.f64 f (neg.f64 f)) 2))) (*.f64 n n)) (fma.f64 -1 (/.f64 (fma.f64 1/3 (fma.f64 -2/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (-.f64 f (neg.f64 f))) (fma.f64 f (-.f64 f (neg.f64 f)) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (pow.f64 (-.f64 f (neg.f64 f)) 2)))) (fma.f64 -1 (*.f64 (*.f64 f f) (-.f64 f (neg.f64 f))) (*.f64 1/27 (/.f64 (pow.f64 (-.f64 f (neg.f64 f)) 3) (pow.f64 (cbrt.f64 -1) 2))))) (fma.f64 (pow.f64 (cbrt.f64 -1) 2) (fma.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (-.f64 f (neg.f64 f)) (fma.f64 f (-.f64 f (neg.f64 f)) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (pow.f64 (-.f64 f (neg.f64 f)) 2))))) (*.f64 (*.f64 -2/3 (fma.f64 -1 (*.f64 (*.f64 f f) (-.f64 f (neg.f64 f))) (fma.f64 -2/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (-.f64 f (neg.f64 f))) (fma.f64 f (-.f64 f (neg.f64 f)) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (pow.f64 (-.f64 f (neg.f64 f)) 2)))) (*.f64 1/27 (/.f64 (pow.f64 (-.f64 f (neg.f64 f)) 3) (pow.f64 (cbrt.f64 -1) 2)))))) (cbrt.f64 -1))) (fma.f64 1/3 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 -1)) (-.f64 f (neg.f64 f))) (fma.f64 1/9 (*.f64 (pow.f64 (-.f64 f (neg.f64 f)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (*.f64 -2/3 (cbrt.f64 -1)) (fma.f64 f (-.f64 f (neg.f64 f)) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (pow.f64 (-.f64 f (neg.f64 f)) 2)))))) (*.f64 -2/9 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (-.f64 f (neg.f64 f))) (fma.f64 f (-.f64 f (neg.f64 f)) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (pow.f64 (-.f64 f (neg.f64 f)) 2)))))))) (pow.f64 n 3)) (fma.f64 2/9 (*.f64 (/.f64 (pow.f64 (-.f64 f (neg.f64 f)) 2) (*.f64 n n)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 8))) (+.f64 (+.f64 (pow.f64 (cbrt.f64 -1) 6) (neg.f64 (/.f64 (*.f64 (*.f64 (-.f64 f (neg.f64 f)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 13))) 1) n))) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (/.f64 (*.f64 n n) (fma.f64 1/9 (*.f64 (pow.f64 (-.f64 f (neg.f64 f)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (*.f64 -2/3 (cbrt.f64 -1)) (fma.f64 f (-.f64 f (neg.f64 f)) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (pow.f64 (-.f64 f (neg.f64 f)) 2)))))))))))
(fma.f64 1/3 (/.f64 (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (+.f64 f f) 2)) (*.f64 f (+.f64 f f))) (*.f64 n n)) (-.f64 (+.f64 (-.f64 1 (/.f64 (*.f64 (+.f64 f f) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 13))) n)) (fma.f64 2/9 (*.f64 (/.f64 (pow.f64 (+.f64 f f) 2) (*.f64 n n)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 8))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 -1) 2) n) (/.f64 (fma.f64 (*.f64 (cbrt.f64 -1) -2/3) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (+.f64 f f) 2)) (*.f64 f (+.f64 f f))) (*.f64 (*.f64 (pow.f64 (+.f64 f f) 2) 1/9) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)))) n)))) (/.f64 (fma.f64 1/3 (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (+.f64 (*.f64 f (pow.f64 (+.f64 f f) 2)) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (pow.f64 (+.f64 f f) 3)))) (-.f64 (/.f64 1/27 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (+.f64 f f) 3))) (*.f64 2 (pow.f64 f 3)))) (fma.f64 (pow.f64 (cbrt.f64 -1) 2) (fma.f64 -2/3 (*.f64 (cbrt.f64 -1) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (+.f64 (*.f64 f (pow.f64 (+.f64 f f) 2)) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (pow.f64 (+.f64 f f) 3)))) (-.f64 (/.f64 1/27 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (+.f64 f f) 3))) (*.f64 2 (pow.f64 f 3))))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (+.f64 (*.f64 f (pow.f64 (+.f64 f f) 2)) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (pow.f64 (+.f64 f f) 3))) -2/9))) (fma.f64 1/3 (*.f64 (+.f64 f f) (*.f64 (fma.f64 (*.f64 (cbrt.f64 -1) -2/3) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (+.f64 f f) 2)) (*.f64 f (+.f64 f f))) (*.f64 (*.f64 (pow.f64 (+.f64 f f) 2) 1/9) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 (cbrt.f64 -1)))) (*.f64 (+.f64 (*.f64 f (pow.f64 (+.f64 f f) 2)) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (pow.f64 (+.f64 f f) 3))) (*.f64 (cbrt.f64 (*.f64 -1 (cbrt.f64 -1))) -2/9))))) (pow.f64 n 3))))
(-.f64 (fma.f64 1/3 (/.f64 (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (*.f64 (*.f64 f f) 4)) (*.f64 f (+.f64 f f))) (*.f64 n n)) (+.f64 (-.f64 1 (/.f64 (*.f64 (+.f64 f f) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 13))) n)) (fma.f64 2/9 (*.f64 (*.f64 (*.f64 (/.f64 f n) (/.f64 f n)) 4) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 -1) 2) n) (/.f64 (fma.f64 (*.f64 (cbrt.f64 -1) -2/3) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (*.f64 (*.f64 f f) 4)) (*.f64 f (+.f64 f f))) (*.f64 (*.f64 (*.f64 f f) 4) (*.f64 1/9 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))))) n))))) (/.f64 (fma.f64 1/3 (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (+.f64 (*.f64 f (*.f64 (*.f64 f f) 4)) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (pow.f64 (+.f64 f f) 3)))) (+.f64 (/.f64 1/27 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (+.f64 f f) 3))) (*.f64 -2 (pow.f64 f 3)))) (fma.f64 (pow.f64 (cbrt.f64 -1) 2) (fma.f64 -2/3 (*.f64 (cbrt.f64 -1) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (+.f64 (*.f64 f (*.f64 (*.f64 f f) 4)) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (pow.f64 (+.f64 f f) 3)))) (+.f64 (/.f64 1/27 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (+.f64 f f) 3))) (*.f64 -2 (pow.f64 f 3))))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (+.f64 (*.f64 f (*.f64 (*.f64 f f) 4)) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (pow.f64 (+.f64 f f) 3))) -2/9))) (fma.f64 1/3 (*.f64 (+.f64 f f) (*.f64 (fma.f64 (*.f64 (cbrt.f64 -1) -2/3) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (*.f64 (*.f64 f f) 4)) (*.f64 f (+.f64 f f))) (*.f64 (*.f64 (*.f64 f f) 4) (*.f64 1/9 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))))) (cbrt.f64 (cbrt.f64 -1)))) (*.f64 (+.f64 (*.f64 f (*.f64 (*.f64 f f) 4)) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (pow.f64 (+.f64 f f) 3))) (*.f64 (cbrt.f64 (neg.f64 (cbrt.f64 -1))) -2/9))))) (pow.f64 n 3)))

eval536.0ms (14%)

Compiler

Compiled 13942 to 8530 computations (38.8% saved)

prune115.0ms (3%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New4782480
Fresh202
Picked011
Done044
Total4807487
Error
0b
Counts
487 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓33.2b
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓29.6b
(+.f64 (*.f64 2 (/.f64 f n)) 1)
✓0.0b
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
✓0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
33.7b
-1
29.9b
1
✓0.0b
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
Compiler

Compiled 56 to 40 computations (28.6% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune5.0ms (0.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done055
Total077
Error
0b
Counts
7 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓33.2b
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓29.6b
(+.f64 (*.f64 2 (/.f64 f n)) 1)
✓0.0b
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
✓0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
33.7b
-1
29.9b
1
✓0.0b
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
Compiler

Compiled 56 to 40 computations (28.6% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune5.0ms (0.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done055
Total077
Error
0b
Counts
7 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓33.2b
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓29.6b
(+.f64 (*.f64 2 (/.f64 f n)) 1)
✓0.0b
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
✓0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
33.7b
-1
29.9b
1
✓0.0b
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes32.0ms (0.8%)

Counts
10 → 1
Calls
Call 1
Inputs
-1
1
-1
1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
Outputs
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
Calls

4 calls:

10.0ms
n
10.0ms
f
4.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
4.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
ErrorSegmentsBranch
0.0b1f
0.0b1n
0.0b1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
0.0b1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 80 to 43 computations (46.3% saved)

regimes62.0ms (1.6%)

Counts
8 → 1
Calls
Call 1
Inputs
-1
1
-1
1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
Calls

4 calls:

37.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
9.0ms
n
9.0ms
f
4.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
ErrorSegmentsBranch
0.0b1f
0.0b1n
0.0b1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
0.0b1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 61 to 38 computations (37.7% saved)

regimes92.0ms (2.4%)

Counts
6 → 5
Calls
Call 1
Inputs
-1
1
-1
1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(+.f64 (*.f64 2 (/.f64 f n)) 1)
Outputs
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
Calls

2 calls:

61.0ms
f
29.0ms
n
Results
ErrorSegmentsBranch
12.6b5f
13.2b3n
Compiler

Compiled 26 to 20 computations (23.1% saved)

bsearch223.0ms (5.8%)

Algorithm
4×binary-search
Steps
TimeLeftRight
145.0ms
2.703182165732232e+44
7.549721300582883e+47
25.0ms
-2.62901775538803e-23
-5.44684415710951e-27
26.0ms
-3.348645957551755e+45
-9.527804544586955e+39
26.0ms
-2.3826463233323765e+94
-6.21720293161873e+89
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes70.0ms (1.8%)

Counts
5 → 5
Calls
Call 1
Inputs
-1
1
-1
1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
Outputs
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
Calls

2 calls:

40.0ms
f
28.0ms
n
Results
ErrorSegmentsBranch
12.8b5f
13.4b3n
Compiler

Compiled 19 to 15 computations (21.1% saved)

bsearch92.0ms (2.4%)

Algorithm
4×binary-search
Steps
TimeLeftRight
16.0ms
2.703182165732232e+44
7.549721300582883e+47
23.0ms
-2.62901775538803e-23
-5.44684415710951e-27
27.0ms
-5.6102037593422895e+23
-28279.452468066836
25.0ms
-2.3826463233323765e+94
-6.21720293161873e+89
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes37.0ms (1%)

Accuracy

Total -50.0b remaining (-383.6%)

Threshold costs -50.0b (-383.6%)

Counts
4 → 5
Calls
Call 1
Inputs
-1
1
-1
1
Outputs
-1
1
-1
1
-1
Calls

2 calls:

21.0ms
f
15.0ms
n
Results
ErrorSegmentsBranch
13.0b5f
13.7b3n
Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch121.0ms (3.1%)

Algorithm
4×binary-search
Steps
TimeLeftRight
31.0ms
2.703182165732232e+44
7.549721300582883e+47
51.0ms
-2.62901775538803e-23
-5.44684415710951e-27
19.0ms
-3.348645957551755e+45
-9.527804544586955e+39
19.0ms
-5.140898434508113e+62
-2.1476959393068104e+60
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify17.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
043184
153184
257184
359184
460184
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 f -23826463233323764904869558913539705208021525862101174688820475259761641531398462041631477465088) (-.f64 (*.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f -3348645957551755225132876880281467946398646272) (+.f64 (*.f64 2 (/.f64 f n)) 1) (if (<=.f64 f -8946083844806117/340282366920938463463374607431768211456) (-.f64 (*.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f 270318216573223207099448403836880997421416448) (+.f64 (*.f64 2 (/.f64 f n)) 1) (-.f64 (*.f64 -2 (/.f64 n f)) 1)))))
(if (<=.f64 f -23826463233323764904869558913539705208021525862101174688820475259761641531398462041631477465088) (-.f64 (*.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f -561020375934228951465984) 1 (if (<=.f64 f -8946083844806117/340282366920938463463374607431768211456) (-.f64 (*.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f 270318216573223207099448403836880997421416448) 1 (-.f64 (*.f64 -2 (/.f64 n f)) 1)))))
(if (<=.f64 f -514089843450811297584258815209396271806005095110390280414560256) -1 (if (<=.f64 f -3348645957551755225132876880281467946398646272) 1 (if (<=.f64 f -8946083844806117/340282366920938463463374607431768211456) -1 (if (<=.f64 f 270318216573223207099448403836880997421416448) 1 -1))))
-1
Outputs
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 f -23826463233323764904869558913539705208021525862101174688820475259761641531398462041631477465088) (-.f64 (*.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f -3348645957551755225132876880281467946398646272) (+.f64 (*.f64 2 (/.f64 f n)) 1) (if (<=.f64 f -8946083844806117/340282366920938463463374607431768211456) (-.f64 (*.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f 270318216573223207099448403836880997421416448) (+.f64 (*.f64 2 (/.f64 f n)) 1) (-.f64 (*.f64 -2 (/.f64 n f)) 1)))))
(if (<=.f64 f -23826463233323764904869558913539705208021525862101174688820475259761641531398462041631477465088) (+.f64 (*.f64 -2 (/.f64 n f)) -1) (if (<=.f64 f -3348645957551755225132876880281467946398646272) (+.f64 1 (*.f64 2 (/.f64 f n))) (if (<=.f64 f -8946083844806117/340282366920938463463374607431768211456) (+.f64 (*.f64 -2 (/.f64 n f)) -1) (if (<=.f64 f 270318216573223207099448403836880997421416448) (+.f64 1 (*.f64 2 (/.f64 f n))) (+.f64 (*.f64 -2 (/.f64 n f)) -1)))))
(if (<=.f64 f -23826463233323764904869558913539705208021525862101174688820475259761641531398462041631477465088) (-.f64 (*.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f -561020375934228951465984) 1 (if (<=.f64 f -8946083844806117/340282366920938463463374607431768211456) (-.f64 (*.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f 270318216573223207099448403836880997421416448) 1 (-.f64 (*.f64 -2 (/.f64 n f)) 1)))))
(if (<=.f64 f -23826463233323764904869558913539705208021525862101174688820475259761641531398462041631477465088) (+.f64 (*.f64 -2 (/.f64 n f)) -1) (if (<=.f64 f -561020375934228951465984) 1 (if (<=.f64 f -8946083844806117/340282366920938463463374607431768211456) (+.f64 (*.f64 -2 (/.f64 n f)) -1) (if (<=.f64 f 270318216573223207099448403836880997421416448) 1 (+.f64 (*.f64 -2 (/.f64 n f)) -1)))))
(if (<=.f64 f -514089843450811297584258815209396271806005095110390280414560256) -1 (if (<=.f64 f -3348645957551755225132876880281467946398646272) 1 (if (<=.f64 f -8946083844806117/340282366920938463463374607431768211456) -1 (if (<=.f64 f 270318216573223207099448403836880997421416448) 1 -1))))
-1
Compiler

Compiled 140 to 99 computations (29.3% saved)

soundness364.0ms (9.5%)

Algorithm
1×egg-herbie
Rules
694×fma-def_binary64
621×fma-neg_binary64
451×times-frac_binary64
308×div-sub_binary64
194×associate-/l*_binary64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
0712
11812
23812
38212
418212
533012
681810
7253310
8344610
9415410
10427510
11431810
12432810
13432810
Stop Event
1×saturated
Compiler

Compiled 150 to 98 computations (34.7% saved)

end89.0ms (2.3%)

Compiler

Compiled 130 to 85 computations (34.6% saved)

Profiling

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