Details

Time bar (total: 10.6s)

analyze981.0ms (9.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
3.1%96.8%0.1%6
15.6%81.2%3.2%7
23.4%72.6%4%8
32.4%55.8%11.8%9
36.3%50.9%12.8%10
40.7%41.5%17.9%11
42.6%38.6%18.8%12
44.5%33.5%22%13
45.5%32%22.5%14
Compiler

Compiled 18 to 12 computations (33.3% saved)

sample6.7s (63.1%)

Results
2.9s1871×body2048valid
2.1s2629×body1024valid
536.0ms1246×body512valid
318.0ms1925×body128valid
208.0ms181×body1024invalid
149.0ms554×body256valid
141.0ms258×body512invalid
78.0ms31×body4096valid
75.0ms539×body128invalid
53.0ms143×body256invalid
23.0ms18×body2048invalid
Compiler

Compiled 53 to 35 computations (34% saved)

simplify20.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
701×fma-def_binary64
558×associate-/r/_binary64
482×associate-/r*_binary64
406×associate-/l/_binary64
237×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01122
12922
26820
317220
452920
5236020
Stop Event
1×node limit
Counts
1 → 2

prune5.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
48.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
▶48.2b
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
48.3b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
Compiler

Compiled 97 to 63 computations (35.1% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i)
✓0.0b
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
✓1.5b
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
✓6.8b
(pow.f64 (+.f64 1 (/.f64 i n)) n)

series202.0ms (1.9%)

Counts
4 → 96
Calls

4 calls:

78.0ms
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
60.0ms
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i)
41.0ms
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
22.0ms
(pow.f64 (+.f64 1 (/.f64 i n)) n)

rewrite64.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
319×prod-diff_binary64
240×fma-def_binary64
224×expm1-udef_binary64
224×log1p-udef_binary64
126×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01261
126361
2341561
Stop Event
1×node limit
Counts
4 → 97
Calls

4 calls:

62.0ms
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i)
62.0ms
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
62.0ms
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
62.0ms
(pow.f64 (+.f64 1 (/.f64 i n)) n)

simplify101.0ms (1%)

Algorithm
1×egg-herbie
Rules
390×times-frac_binary64
302×*-commutative_binary64
290×+-commutative_binary64
262×fma-def_binary64
221×sub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08698241
132668094
Stop Event
1×node limit
Counts
193 → 256

prune337.0ms (3.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New24214256
Fresh011
Picked101
Done000
Total24315258
Error
3.4b
Counts
258 → 15
Alt Table
StatusErrorProgram
52.5b
(*.f64 n (-.f64 (*.f64 100 (/.f64 (exp.f64 i) i)) (fma.f64 50 (*.f64 (/.f64 i n) (exp.f64 i)) (/.f64 100 i))))
50.7b
(-.f64 (*.f64 100 (/.f64 (*.f64 n (exp.f64 i)) i)) (+.f64 (*.f64 100 (/.f64 n i)) (*.f64 50 (*.f64 (exp.f64 i) i))))
56.7b
(*.f64 n (-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))) (pow.f64 i 2))) (*.f64 100 (/.f64 (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n)) i))) (*.f64 100 (/.f64 1 i))))
56.1b
(*.f64 (/.f64 (*.f64 n n) i) (*.f64 100 (-.f64 (log.f64 i) (log.f64 n))))
56.7b
(*.f64 n (fma.f64 100 (+.f64 (/.f64 (pow.f64 (exp.f64 n) (+.f64 (neg.f64 (log.f64 n)) (log.f64 i))) i) (*.f64 (/.f64 (*.f64 n n) i) (/.f64 (pow.f64 (exp.f64 n) (+.f64 (neg.f64 (log.f64 n)) (log.f64 i))) i))) (/.f64 -100 i)))
55.6b
(*.f64 n (/.f64 (-.f64 (fma.f64 50 (*.f64 (*.f64 n n) (pow.f64 (log.f64 i) 2)) (fma.f64 50/3 (*.f64 (pow.f64 n 3) (pow.f64 (log.f64 i) 3)) (fma.f64 50 (*.f64 (*.f64 n n) (pow.f64 (log.f64 n) 2)) (fma.f64 100 (/.f64 (*.f64 n n) i) (fma.f64 100 (*.f64 n (log.f64 i)) (fma.f64 50 (*.f64 (*.f64 (pow.f64 n 3) (log.f64 i)) (pow.f64 (log.f64 n) 2)) (*.f64 (*.f64 (/.f64 (pow.f64 n 3) i) (log.f64 i)) 100))))))) (fma.f64 50/3 (*.f64 (pow.f64 n 3) (pow.f64 (log.f64 n) 3)) (fma.f64 50 (*.f64 (pow.f64 n 3) (*.f64 (log.f64 n) (pow.f64 (log.f64 i) 2))) (fma.f64 100 (*.f64 (/.f64 (pow.f64 n 3) i) (log.f64 n)) (fma.f64 100 (*.f64 (*.f64 n n) (*.f64 (log.f64 i) (log.f64 n))) (fma.f64 50 (/.f64 (pow.f64 n 3) (*.f64 i i)) (*.f64 (*.f64 n 100) (log.f64 n)))))))) i))
48.2b
(/.f64 (*.f64 n (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)) i)
29.9b
(+.f64 (fma.f64 50/3 (*.f64 (*.f64 i i) n) (fma.f64 100 n (fma.f64 100/3 (/.f64 (*.f64 i i) n) (*.f64 (*.f64 50 n) i)))) (*.f64 -50 (+.f64 i (*.f64 i i))))
▶29.0b
(*.f64 100 n)
48.4b
(/.f64 (fma.f64 (exp.f64 i) 100 -100) (/.f64 i n))
56.0b
(-.f64 (+.f64 (*.f64 50 (/.f64 (*.f64 (pow.f64 (log.f64 i) 2) (pow.f64 n 3)) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (log.f64 i)) i)) (+.f64 (*.f64 100 (/.f64 (pow.f64 n 3) (pow.f64 i 2))) (*.f64 50 (/.f64 (*.f64 (pow.f64 n 3) (pow.f64 (log.f64 n) 2)) i))))) (+.f64 (*.f64 100 (/.f64 (*.f64 (log.f64 i) (*.f64 (pow.f64 n 3) (log.f64 n))) i)) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (log.f64 n)) i))))
29.9b
(*.f64 n (+.f64 100 (+.f64 (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n))))) (*.f64 -50 (+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))))))
48.3b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
55.9b
(*.f64 -1 (/.f64 (-.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))))) i))
57.7b
(/.f64 (-.f64 (*.f64 100 (*.f64 n (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i))))))) (*.f64 100 n)) i)
Compiler

Compiled 13783 to 8548 computations (38% saved)

localize2.0ms (0%)

prune22.0ms (0.2%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01414
Picked011
Done000
Total01515
Error
3.4b
Counts
15 → 15
Alt Table
StatusErrorProgram
52.5b
(*.f64 n (-.f64 (*.f64 100 (/.f64 (exp.f64 i) i)) (fma.f64 50 (*.f64 (/.f64 i n) (exp.f64 i)) (/.f64 100 i))))
50.7b
(-.f64 (*.f64 100 (/.f64 (*.f64 n (exp.f64 i)) i)) (+.f64 (*.f64 100 (/.f64 n i)) (*.f64 50 (*.f64 (exp.f64 i) i))))
56.7b
(*.f64 n (-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))) (pow.f64 i 2))) (*.f64 100 (/.f64 (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n)) i))) (*.f64 100 (/.f64 1 i))))
56.1b
(*.f64 (/.f64 (*.f64 n n) i) (*.f64 100 (-.f64 (log.f64 i) (log.f64 n))))
56.7b
(*.f64 n (fma.f64 100 (+.f64 (/.f64 (pow.f64 (exp.f64 n) (+.f64 (neg.f64 (log.f64 n)) (log.f64 i))) i) (*.f64 (/.f64 (*.f64 n n) i) (/.f64 (pow.f64 (exp.f64 n) (+.f64 (neg.f64 (log.f64 n)) (log.f64 i))) i))) (/.f64 -100 i)))
55.6b
(*.f64 n (/.f64 (-.f64 (fma.f64 50 (*.f64 (*.f64 n n) (pow.f64 (log.f64 i) 2)) (fma.f64 50/3 (*.f64 (pow.f64 n 3) (pow.f64 (log.f64 i) 3)) (fma.f64 50 (*.f64 (*.f64 n n) (pow.f64 (log.f64 n) 2)) (fma.f64 100 (/.f64 (*.f64 n n) i) (fma.f64 100 (*.f64 n (log.f64 i)) (fma.f64 50 (*.f64 (*.f64 (pow.f64 n 3) (log.f64 i)) (pow.f64 (log.f64 n) 2)) (*.f64 (*.f64 (/.f64 (pow.f64 n 3) i) (log.f64 i)) 100))))))) (fma.f64 50/3 (*.f64 (pow.f64 n 3) (pow.f64 (log.f64 n) 3)) (fma.f64 50 (*.f64 (pow.f64 n 3) (*.f64 (log.f64 n) (pow.f64 (log.f64 i) 2))) (fma.f64 100 (*.f64 (/.f64 (pow.f64 n 3) i) (log.f64 n)) (fma.f64 100 (*.f64 (*.f64 n n) (*.f64 (log.f64 i) (log.f64 n))) (fma.f64 50 (/.f64 (pow.f64 n 3) (*.f64 i i)) (*.f64 (*.f64 n 100) (log.f64 n)))))))) i))
48.2b
(/.f64 (*.f64 n (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)) i)
29.9b
(+.f64 (fma.f64 50/3 (*.f64 (*.f64 i i) n) (fma.f64 100 n (fma.f64 100/3 (/.f64 (*.f64 i i) n) (*.f64 (*.f64 50 n) i)))) (*.f64 -50 (+.f64 i (*.f64 i i))))
✓29.0b
(*.f64 100 n)
48.4b
(/.f64 (fma.f64 (exp.f64 i) 100 -100) (/.f64 i n))
56.0b
(-.f64 (+.f64 (*.f64 50 (/.f64 (*.f64 (pow.f64 (log.f64 i) 2) (pow.f64 n 3)) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (log.f64 i)) i)) (+.f64 (*.f64 100 (/.f64 (pow.f64 n 3) (pow.f64 i 2))) (*.f64 50 (/.f64 (*.f64 (pow.f64 n 3) (pow.f64 (log.f64 n) 2)) i))))) (+.f64 (*.f64 100 (/.f64 (*.f64 (log.f64 i) (*.f64 (pow.f64 n 3) (log.f64 n))) i)) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (log.f64 n)) i))))
▶29.9b
(*.f64 n (+.f64 100 (+.f64 (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n))))) (*.f64 -50 (+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))))))
48.3b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
55.9b
(*.f64 -1 (/.f64 (-.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))))) i))
57.7b
(/.f64 (-.f64 (*.f64 100 (*.f64 n (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i))))))) (*.f64 100 n)) i)
Compiler

Compiled 1037 to 670 computations (35.4% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓2.0b
(+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))
✓2.2b
(*.f64 n (+.f64 100 (+.f64 (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n))))) (*.f64 -50 (+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))))))
✓4.2b
(+.f64 (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n))))) (*.f64 -50 (+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))))
✓4.9b
(/.f64 (*.f64 i i) n)

series86.0ms (0.8%)

Counts
4 → 96
Calls

4 calls:

33.0ms
(*.f64 n (+.f64 100 (+.f64 (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n))))) (*.f64 -50 (+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))))))
31.0ms
(+.f64 (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n))))) (*.f64 -50 (+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))))
11.0ms
(+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))
10.0ms
(/.f64 (*.f64 i i) n)

rewrite55.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
231×add-sqr-sqrt_binary64
226×log1p-expm1-u_binary64
226×expm1-log1p-u_binary64
225×add-cbrt-cube_binary64
221×add-log-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020104
1471100
Stop Event
1×node limit
Counts
4 → 95
Calls

4 calls:

53.0ms
(+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))
53.0ms
(*.f64 n (+.f64 100 (+.f64 (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n))))) (*.f64 -50 (+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))))))
53.0ms
(+.f64 (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n))))) (*.f64 -50 (+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))))
53.0ms
(/.f64 (*.f64 i i) n)

simplify49.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
532×cancel-sign-sub-inv_binary64
475×fma-neg_binary64
362×fma-def_binary64
185×sub-neg_binary64
180×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0652028
12161925
26811716
322911644
Stop Event
1×node limit
Counts
191 → 136

prune146.0ms (1.4%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New1333136
Fresh01313
Picked101
Done011
Total13417151
Error
3.4b
Counts
151 → 17
Alt Table
StatusErrorProgram
52.5b
(*.f64 n (-.f64 (*.f64 100 (/.f64 (exp.f64 i) i)) (fma.f64 50 (*.f64 (/.f64 i n) (exp.f64 i)) (/.f64 100 i))))
50.7b
(-.f64 (*.f64 100 (/.f64 (*.f64 n (exp.f64 i)) i)) (+.f64 (*.f64 100 (/.f64 n i)) (*.f64 50 (*.f64 (exp.f64 i) i))))
48.4b
(/.f64 (fma.f64 (exp.f64 i) 100 -100) (/.f64 i n))
41.0b
(expm1.f64 (log1p.f64 (*.f64 n (+.f64 (fma.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2))))) 100))))
56.7b
(*.f64 n (-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))) (pow.f64 i 2))) (*.f64 100 (/.f64 (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n)) i))) (*.f64 100 (/.f64 1 i))))
56.1b
(*.f64 (/.f64 (*.f64 n n) i) (*.f64 100 (-.f64 (log.f64 i) (log.f64 n))))
56.7b
(*.f64 n (fma.f64 100 (+.f64 (/.f64 (pow.f64 (exp.f64 n) (+.f64 (neg.f64 (log.f64 n)) (log.f64 i))) i) (*.f64 (/.f64 (*.f64 n n) i) (/.f64 (pow.f64 (exp.f64 n) (+.f64 (neg.f64 (log.f64 n)) (log.f64 i))) i))) (/.f64 -100 i)))
55.6b
(*.f64 n (/.f64 (-.f64 (fma.f64 50 (*.f64 (*.f64 n n) (pow.f64 (log.f64 i) 2)) (fma.f64 50/3 (*.f64 (pow.f64 n 3) (pow.f64 (log.f64 i) 3)) (fma.f64 50 (*.f64 (*.f64 n n) (pow.f64 (log.f64 n) 2)) (fma.f64 100 (/.f64 (*.f64 n n) i) (fma.f64 100 (*.f64 n (log.f64 i)) (fma.f64 50 (*.f64 (*.f64 (pow.f64 n 3) (log.f64 i)) (pow.f64 (log.f64 n) 2)) (*.f64 (*.f64 (/.f64 (pow.f64 n 3) i) (log.f64 i)) 100))))))) (fma.f64 50/3 (*.f64 (pow.f64 n 3) (pow.f64 (log.f64 n) 3)) (fma.f64 50 (*.f64 (pow.f64 n 3) (*.f64 (log.f64 n) (pow.f64 (log.f64 i) 2))) (fma.f64 100 (*.f64 (/.f64 (pow.f64 n 3) i) (log.f64 n)) (fma.f64 100 (*.f64 (*.f64 n n) (*.f64 (log.f64 i) (log.f64 n))) (fma.f64 50 (/.f64 (pow.f64 n 3) (*.f64 i i)) (*.f64 (*.f64 n 100) (log.f64 n)))))))) i))
48.2b
(/.f64 (*.f64 n (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)) i)
29.9b
(+.f64 (fma.f64 50/3 (*.f64 (*.f64 i i) n) (fma.f64 100 n (fma.f64 100/3 (/.f64 (*.f64 i i) n) (*.f64 (*.f64 50 n) i)))) (*.f64 -50 (+.f64 i (*.f64 i i))))
✓29.0b
(*.f64 100 n)
47.0b
(exp.f64 (log.f64 (*.f64 n (+.f64 (fma.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2))))) 100))))
56.0b
(-.f64 (+.f64 (*.f64 50 (/.f64 (*.f64 (pow.f64 (log.f64 i) 2) (pow.f64 n 3)) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (log.f64 i)) i)) (+.f64 (*.f64 100 (/.f64 (pow.f64 n 3) (pow.f64 i 2))) (*.f64 50 (/.f64 (*.f64 (pow.f64 n 3) (pow.f64 (log.f64 n) 2)) i))))) (+.f64 (*.f64 100 (/.f64 (*.f64 (log.f64 i) (*.f64 (pow.f64 n 3) (log.f64 n))) i)) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (log.f64 n)) i))))
▶29.9b
(fma.f64 n (fma.f64 i 50 (fma.f64 i (*.f64 i 50/3) 100)) (*.f64 (fma.f64 i i i) -50))
48.3b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
55.9b
(*.f64 -1 (/.f64 (-.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))))) i))
57.7b
(/.f64 (-.f64 (*.f64 100 (*.f64 n (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i))))))) (*.f64 100 n)) i)
Compiler

Compiled 5660 to 2907 computations (48.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 i (*.f64 i 50/3) 100)
✓0.1b
(*.f64 (fma.f64 i i i) -50)
✓0.5b
(*.f64 i 50/3)
✓3.9b
(fma.f64 n (fma.f64 i 50 (fma.f64 i (*.f64 i 50/3) 100)) (*.f64 (fma.f64 i i i) -50))

series22.0ms (0.2%)

Counts
4 → 60
Calls

4 calls:

15.0ms
(fma.f64 n (fma.f64 i 50 (fma.f64 i (*.f64 i 50/3) 100)) (*.f64 (fma.f64 i i i) -50))
3.0ms
(*.f64 (fma.f64 i i i) -50)
2.0ms
(fma.f64 i (*.f64 i 50/3) 100)
2.0ms
(*.f64 i 50/3)

rewrite60.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
530×log-prod_binary64
283×prod-diff_binary64
225×expm1-udef_binary64
225×log1p-udef_binary64
189×log-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01343
126543
2294043
Stop Event
1×node limit
Counts
4 → 91
Calls

4 calls:

58.0ms
(fma.f64 i (*.f64 i 50/3) 100)
58.0ms
(*.f64 (fma.f64 i i i) -50)
58.0ms
(*.f64 i 50/3)
58.0ms
(fma.f64 n (fma.f64 i 50 (fma.f64 i (*.f64 i 50/3) 100)) (*.f64 (fma.f64 i i i) -50))

simplify39.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
850×fma-def_binary64
323×fma-neg_binary64
253×sub-neg_binary64
236×cancel-sign-sub-inv_binary64
203×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
039921
1121814
2342688
3951631
43649631
Stop Event
1×node limit
Counts
151 → 118

prune96.0ms (0.9%)

Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New1180118
Fresh01515
Picked011
Done011
Total11817135
Error
3.4b
Counts
135 → 17
Alt Table
StatusErrorProgram
52.5b
(*.f64 n (-.f64 (*.f64 100 (/.f64 (exp.f64 i) i)) (fma.f64 50 (*.f64 (/.f64 i n) (exp.f64 i)) (/.f64 100 i))))
50.7b
(-.f64 (*.f64 100 (/.f64 (*.f64 n (exp.f64 i)) i)) (+.f64 (*.f64 100 (/.f64 n i)) (*.f64 50 (*.f64 (exp.f64 i) i))))
48.4b
(/.f64 (fma.f64 (exp.f64 i) 100 -100) (/.f64 i n))
41.0b
(expm1.f64 (log1p.f64 (*.f64 n (+.f64 (fma.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2))))) 100))))
56.7b
(*.f64 n (-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))) (pow.f64 i 2))) (*.f64 100 (/.f64 (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n)) i))) (*.f64 100 (/.f64 1 i))))
56.1b
(*.f64 (/.f64 (*.f64 n n) i) (*.f64 100 (-.f64 (log.f64 i) (log.f64 n))))
56.7b
(*.f64 n (fma.f64 100 (+.f64 (/.f64 (pow.f64 (exp.f64 n) (+.f64 (neg.f64 (log.f64 n)) (log.f64 i))) i) (*.f64 (/.f64 (*.f64 n n) i) (/.f64 (pow.f64 (exp.f64 n) (+.f64 (neg.f64 (log.f64 n)) (log.f64 i))) i))) (/.f64 -100 i)))
55.6b
(*.f64 n (/.f64 (-.f64 (fma.f64 50 (*.f64 (*.f64 n n) (pow.f64 (log.f64 i) 2)) (fma.f64 50/3 (*.f64 (pow.f64 n 3) (pow.f64 (log.f64 i) 3)) (fma.f64 50 (*.f64 (*.f64 n n) (pow.f64 (log.f64 n) 2)) (fma.f64 100 (/.f64 (*.f64 n n) i) (fma.f64 100 (*.f64 n (log.f64 i)) (fma.f64 50 (*.f64 (*.f64 (pow.f64 n 3) (log.f64 i)) (pow.f64 (log.f64 n) 2)) (*.f64 (*.f64 (/.f64 (pow.f64 n 3) i) (log.f64 i)) 100))))))) (fma.f64 50/3 (*.f64 (pow.f64 n 3) (pow.f64 (log.f64 n) 3)) (fma.f64 50 (*.f64 (pow.f64 n 3) (*.f64 (log.f64 n) (pow.f64 (log.f64 i) 2))) (fma.f64 100 (*.f64 (/.f64 (pow.f64 n 3) i) (log.f64 n)) (fma.f64 100 (*.f64 (*.f64 n n) (*.f64 (log.f64 i) (log.f64 n))) (fma.f64 50 (/.f64 (pow.f64 n 3) (*.f64 i i)) (*.f64 (*.f64 n 100) (log.f64 n)))))))) i))
48.2b
(/.f64 (*.f64 n (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)) i)
29.9b
(+.f64 (fma.f64 50/3 (*.f64 (*.f64 i i) n) (fma.f64 100 n (fma.f64 100/3 (/.f64 (*.f64 i i) n) (*.f64 (*.f64 50 n) i)))) (*.f64 -50 (+.f64 i (*.f64 i i))))
✓29.0b
(*.f64 100 n)
47.0b
(exp.f64 (log.f64 (*.f64 n (+.f64 (fma.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2))))) 100))))
56.0b
(-.f64 (+.f64 (*.f64 50 (/.f64 (*.f64 (pow.f64 (log.f64 i) 2) (pow.f64 n 3)) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (log.f64 i)) i)) (+.f64 (*.f64 100 (/.f64 (pow.f64 n 3) (pow.f64 i 2))) (*.f64 50 (/.f64 (*.f64 (pow.f64 n 3) (pow.f64 (log.f64 n) 2)) i))))) (+.f64 (*.f64 100 (/.f64 (*.f64 (log.f64 i) (*.f64 (pow.f64 n 3) (log.f64 n))) i)) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (log.f64 n)) i))))
✓29.9b
(fma.f64 n (fma.f64 i 50 (fma.f64 i (*.f64 i 50/3) 100)) (*.f64 (fma.f64 i i i) -50))
48.3b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
55.9b
(*.f64 -1 (/.f64 (-.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))))) i))
57.7b
(/.f64 (-.f64 (*.f64 100 (*.f64 n (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i))))))) (*.f64 100 n)) i)
Compiler

Compiled 3095 to 1915 computations (38.1% saved)

regimes947.0ms (8.9%)

Accuracy

Total 7.7b remaining (71.9%)

Threshold costs 0b (0%)

Counts
115 → 3
Compiler

Compiled 12500 to 8256 computations (34% saved)

bsearch157.0ms (1.5%)

Steps
ItersRangePoint
9
3.57285727619396e-29
2.0382406176684498e-23
1.8157777999019126e-23
3
-9.724472589557338e-14
-6.887671432046441e-14
-8.837972227835183e-14
Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify37.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
22×*-commutative_binary64
2×+-commutative_binary64
2×sub-neg_binary64
1×*-rgt-identity_binary64
1×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078262
1104262
2108262
3110262
4111262
Stop Event
1×saturated

end441.0ms (4.2%)

Compiler

Compiled 929 to 590 computations (36.5% saved)

Profiling

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