logs (example 3.8)

Time bar (total: 6.3s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%23.7%76.3%0%0%0%0
100%23.7%0%76.3%0%0%0%1
Compiler

Compiled 19 to 14 computations (26.3% saved)

Mixed Sampling
Click to see full mixed sampling table
opprecxtime
const12840.0ms
ival->12810.0ms
ival-add12820.0ms
ival-log12820.0ms
ival-mult12820.0ms
ival-sub12820.0ms

sample3.7s (59.8%)

Results
1.8s4585×body512valid
1.6s2274×body1024valid
305.0ms1397×body256valid
Mixed Sampling
Click to see full mixed sampling table
opprecxtime
const185844343.0ms
const1700-18001140.0ms
const102445485.0ms
const800-9001286410.0ms
const700-8008541.0ms
const5121371814.0ms
const2563302432.0ms
ival->1024227412.0ms
ival->512685940.0ms
ival->256825650.0ms
ival-add1858443427.0ms
ival-add1700-18001141.0ms
ival-add800-9001286480.0ms
ival-add700-8008545.0ms
ival-add25616512107.0ms
ival-log18584434258.0ms
ival-log1700-18001148.0ms
ival-log800-90012864439.0ms
ival-log700-80085432.0ms
ival-log25616512394.0ms
ival-mult1858443440.0ms
ival-mult1700-18001141.0ms
ival-mult800-90012864111.0ms
ival-mult700-80085412.0ms
ival-mult25616512139.0ms
ival-sub1024454828.0ms
ival-sub5121371881.0ms
ival-sub25616512100.0ms
Bogosity

preprocess528.0ms (8.4%)

Algorithm
egg-herbie
Rules
2368×associate--l+
1210×sub-neg
1070×unsub-neg
966×fma-neg
826×distribute-neg-in
Problems
256×(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n)))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
023256
158208
2160200
3520200
42076196
54550196
65648196
76498196
86950196
97133196
107148196
117151196
127151196
137154196
147208196
157208196
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
(-.f64 (-.f64 (*.f64 (+.f64 (neg.f64 n) 1) (log.f64 (+.f64 (neg.f64 n) 1))) (*.f64 (neg.f64 n) (log.f64 (neg.f64 n)))) 1)
(neg.f64 (-.f64 (-.f64 (*.f64 (+.f64 (neg.f64 n) 1) (log.f64 (+.f64 (neg.f64 n) 1))) (*.f64 (neg.f64 n) (log.f64 (neg.f64 n)))) 1))
Outputs
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 n (log.f64 n)) 1))
(-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))
(+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 n (log.f64 n)) 1))
(-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))
(+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))
(-.f64 (-.f64 (*.f64 (+.f64 (neg.f64 n) 1) (log.f64 (+.f64 (neg.f64 n) 1))) (*.f64 (neg.f64 n) (log.f64 (neg.f64 n)))) 1)
(+.f64 (+.f64 (*.f64 (+.f64 1 (neg.f64 n)) (log.f64 (+.f64 1 (neg.f64 n)))) (*.f64 n (log.f64 (neg.f64 n)))) -1)
(+.f64 (fma.f64 (-.f64 1 n) (log1p.f64 (neg.f64 n)) (*.f64 n (log.f64 (neg.f64 n)))) -1)
(fma.f64 (-.f64 1 n) (log1p.f64 (neg.f64 n)) (fma.f64 n (log.f64 (neg.f64 n)) -1))
(fma.f64 n (log.f64 (neg.f64 n)) (fma.f64 (-.f64 1 n) (log1p.f64 (neg.f64 n)) -1))
(neg.f64 (-.f64 (-.f64 (*.f64 (+.f64 (neg.f64 n) 1) (log.f64 (+.f64 (neg.f64 n) 1))) (*.f64 (neg.f64 n) (log.f64 (neg.f64 n)))) 1))
(neg.f64 (+.f64 (+.f64 (*.f64 (+.f64 1 (neg.f64 n)) (log.f64 (+.f64 1 (neg.f64 n)))) (*.f64 n (log.f64 (neg.f64 n)))) -1))
(neg.f64 (+.f64 (fma.f64 (-.f64 1 n) (log1p.f64 (neg.f64 n)) (*.f64 n (log.f64 (neg.f64 n)))) -1))
(-.f64 1 (fma.f64 n (log.f64 (neg.f64 n)) (*.f64 (-.f64 1 n) (log1p.f64 (neg.f64 n)))))
(-.f64 1 (fma.f64 (-.f64 1 n) (log1p.f64 (neg.f64 n)) (*.f64 n (log.f64 (neg.f64 n)))))
Compiler

Compiled 69 to 44 computations (36.2% saved)

Mixed Sampling
Click to see full mixed sampling table
opprecxtime
const18493200.0ms
const1700-1800120.0ms
const10245811.0ms
const800-9008161.0ms
const700-800400.0ms
const51214981.0ms
const25628162.0ms
ival-add18493202.0ms
ival-add1700-1800120.0ms
ival-add10243322.0ms
ival-add800-9008165.0ms
ival-add700-800400.0ms
ival-add5128568.0ms
ival-add256204813.0ms
ival-log184924013.0ms
ival-log1700-180090.0ms
ival-log10241666.0ms
ival-log800-90061220.0ms
ival-log700-800301.0ms
ival-log51242812.0ms
ival-log256128030.0ms
ival-mult18492402.0ms
ival-mult1700-180090.0ms
ival-mult1024831.0ms
ival-mult800-9006125.0ms
ival-mult700-800300.0ms
ival-mult5122142.0ms
ival-mult25610248.0ms
ival-sub10242491.0ms
ival-sub5126424.0ms
ival-sub2567684.0ms

eval1.0ms (0%)

Compiler

Compiled 39 to 23 computations (41% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
3.1%
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 n (log.f64 n)) 1))
31.1%
(+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))
3.1%
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 n (log.f64 n)) 1))
31.1%
(+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))
Compiler

Compiled 56 to 38 computations (32.1% saved)

localize355.0ms (5.7%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
99.6%
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
99.6%
(*.f64 n (log.f64 n))
3.1%
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 n (log.f64 n)) 1))
5.7%
(-.f64 (log1p.f64 n) (log.f64 n))
3.9%
(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)
Compiler

Compiled 76 to 35 computations (53.9% saved)

Mixed Sampling
Click to see full mixed sampling table
opprecxtime
const3089780.0ms
const2900-3000330.0ms
const20483700.0ms
const1800-19002400.0ms
const1700-18001110.0ms
const1600-1700660.0ms
const1500-1600690.0ms
const1400-1500630.0ms
const102418302.0ms
const800-9006120.0ms
const700-800870.0ms
const600-700420.0ms
const51224702.0ms
const25633283.0ms
ival-add3089780.0ms
ival-add2900-3000330.0ms
ival-add20482221.0ms
ival-add1800-19002401.0ms
ival-add1700-18001111.0ms
ival-add1600-1700660.0ms
ival-add1500-1600690.0ms
ival-add1400-1500630.0ms
ival-add102410986.0ms
ival-add800-9006123.0ms
ival-add700-800870.0ms
ival-add600-700420.0ms
ival-add51214828.0ms
ival-add256230413.0ms
ival-fma2048741.0ms
ival-fma10243665.0ms
ival-fma5124946.0ms
ival-fma2565127.0ms
ival-log3098555.0ms
ival-log2900-3000192.0ms
ival-log2048745.0ms
ival-log1800-19001669.0ms
ival-log1700-1800715.0ms
ival-log1600-1700442.0ms
ival-log1500-1600452.0ms
ival-log1400-1500402.0ms
ival-log102436614.0ms
ival-log800-90040913.0ms
ival-log700-800582.0ms
ival-log600-700271.0ms
ival-log51249414.0ms
ival-log256102422.0ms
ival-log1p3098293.0ms
ival-log1p2900-300081.0ms
ival-log1p1800-1900865.0ms
ival-log1p1700-1800342.0ms
ival-log1p1600-1700221.0ms
ival-log1p1500-1600221.0ms
ival-log1p1400-1500191.0ms
ival-log1p800-9002057.0ms
ival-log1p700-800291.0ms
ival-log1p600-700130.0ms
ival-log1p2562567.0ms
ival-mult3089520.0ms
ival-mult2900-3000220.0ms
ival-mult2048370.0ms
ival-mult1800-19001601.0ms
ival-mult1700-1800741.0ms
ival-mult1600-1700440.0ms
ival-mult1500-1600460.0ms
ival-mult1400-1500420.0ms
ival-mult10241832.0ms
ival-mult800-9004083.0ms
ival-mult700-800580.0ms
ival-mult600-700280.0ms
ival-mult5122473.0ms
ival-mult2567689.0ms
ival-sub2048740.0ms
ival-sub10243662.0ms
ival-sub5124943.0ms
ival-sub2565123.0ms

series56.0ms (0.9%)

Counts
5 → 56
Calls

15 calls:

TimeVariablePointExpression
33.0ms
n
@0
(*.f64 n (log.f64 n))
10.0ms
n
@-inf
(*.f64 n (log.f64 n))
8.0ms
n
@inf
(*.f64 n (log.f64 n))
1.0ms
n
@inf
(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)
1.0ms
n
@inf
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 n (log.f64 n)) 1))

rewrite171.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
1898×fma-def
879×log1p-expm1-u
879×expm1-log1p-u
432×log1p-udef
430×expm1-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019140
1272140
23718140
Stop Event
node limit
Counts
5 → 249
Calls
Call 1
Inputs
(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)
(-.f64 (log1p.f64 n) (log.f64 n))
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 n (log.f64 n)) 1))
(*.f64 n (log.f64 n))
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
Outputs
(+.f64 -1 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))))
(+.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) -1)
(+.f64 (*.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) 1) -1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))) 1)
(*.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1) 1)
(*.f64 1 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))
(*.f64 (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) (pow.f64 (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) 2) (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)))
(*.f64 (sqrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) (sqrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)))
(/.f64 (+.f64 (pow.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) 3) -1) (fma.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (-.f64 1 (*.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) -1))))
(/.f64 (-.f64 (*.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))) 1) (-.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) -1))
(pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1) 1)
(pow.f64 (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) 3)
(pow.f64 (pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1) 2))
(log.f64 (exp.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))))
(cbrt.f64 (pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1) 3))
(expm1.f64 (log1p.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)))
(exp.f64 (log.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) 1))
(log1p.f64 (expm1.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)))
(+.f64 (log1p.f64 n) (neg.f64 (log.f64 n)))
(+.f64 (log1p.f64 n) (*.f64 (neg.f64 (log.f64 n)) 1))
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) 1 (log.f64 n)))
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 n))) (pow.f64 (cbrt.f64 (log.f64 n)) 2) (log.f64 n)))
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)))
(+.f64 (neg.f64 (log.f64 n)) (log1p.f64 n))
(*.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 1)
(*.f64 1 (-.f64 (log1p.f64 n) (log.f64 n)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) 2) (cbrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) (sqrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (log.f64 n) 3)) (/.f64 1 (fma.f64 (log.f64 n) (+.f64 (log1p.f64 n) (log.f64 n)) (pow.f64 (log1p.f64 n) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 n) 2) (pow.f64 (log.f64 n) 2)) (/.f64 1 (+.f64 (log1p.f64 n) (log.f64 n))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log.f64 n))) (-.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log.f64 n))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 n) (+.f64 (log1p.f64 n) (log.f64 n)) (pow.f64 (log1p.f64 n) 2)) (-.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (log.f64 n) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 n) (log.f64 n)) (-.f64 (pow.f64 (log1p.f64 n) 2) (pow.f64 (log.f64 n) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (log.f64 n) 3)) (fma.f64 (log.f64 n) (+.f64 (log1p.f64 n) (log.f64 n)) (pow.f64 (log1p.f64 n) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 n) 2) (pow.f64 (log.f64 n) 2)) (+.f64 (log1p.f64 n) (log.f64 n)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (log.f64 n) 3))) (neg.f64 (fma.f64 (log.f64 n) (+.f64 (log1p.f64 n) (log.f64 n)) (pow.f64 (log1p.f64 n) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 n) 2) (pow.f64 (log.f64 n) 2))) (neg.f64 (+.f64 (log1p.f64 n) (log.f64 n))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (neg.f64 (log.f64 n)) 3)) (+.f64 (pow.f64 (log1p.f64 n) 2) (-.f64 (*.f64 (neg.f64 (log.f64 n)) (neg.f64 (log.f64 n))) (*.f64 (log1p.f64 n) (neg.f64 (log.f64 n))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 n) 2) (*.f64 (neg.f64 (log.f64 n)) (neg.f64 (log.f64 n)))) (-.f64 (log1p.f64 n) (neg.f64 (log.f64 n))))
(pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 2))
(log.f64 (/.f64 (+.f64 n 1) n))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 n 1) n) 1)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 n) (log.f64 n))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 n) (log.f64 n))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 n) (log.f64 n))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 n 1) n) 1))
(fma.f64 (log1p.f64 n) 1 (neg.f64 (log.f64 n)))
(fma.f64 (log1p.f64 n) 1 (*.f64 (neg.f64 (log.f64 n)) 1))
(fma.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 1 (fma.f64 (neg.f64 (log.f64 n)) 1 (log.f64 n)))
(fma.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 n))) (pow.f64 (cbrt.f64 (log.f64 n)) 2) (log.f64 n)))
(fma.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 1 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)))
(fma.f64 -1 (log.f64 n) (log1p.f64 n))
(fma.f64 1 (log1p.f64 n) (neg.f64 (log.f64 n)))
(fma.f64 1 (log1p.f64 n) (*.f64 (neg.f64 (log.f64 n)) 1))
(fma.f64 1 (-.f64 (log1p.f64 n) (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) 1 (log.f64 n)))
(fma.f64 1 (-.f64 (log1p.f64 n) (log.f64 n)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 n))) (pow.f64 (cbrt.f64 (log.f64 n)) 2) (log.f64 n)))
(fma.f64 1 (-.f64 (log1p.f64 n) (log.f64 n)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)))
(fma.f64 1 (neg.f64 (log.f64 n)) (log1p.f64 n))
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(fma.f64 (cbrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))) 2) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1))) (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2) (fma.f64 n (log.f64 n) 1)))
(fma.f64 (cbrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))) 2) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1)) (fma.f64 n (log.f64 n) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))) 2) (cbrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))) (fma.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))) 2) (cbrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1))) (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2) (fma.f64 n (log.f64 n) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))) 2) (cbrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1)) (fma.f64 n (log.f64 n) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (*.f64 (cbrt.f64 (log1p.f64 n)) (+.f64 n 1)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (*.f64 (cbrt.f64 (log1p.f64 n)) (+.f64 n 1)) (*.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1))
(fma.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (*.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1))
(fma.f64 (sqrt.f64 (fma.f64 n (log.f64 n) 1)) (neg.f64 (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (*.f64 (log1p.f64 n) (+.f64 n 1)))
(fma.f64 (hypot.f64 1 (sqrt.f64 n)) (*.f64 (hypot.f64 1 (sqrt.f64 n)) (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (hypot.f64 1 (sqrt.f64 n)) (*.f64 (hypot.f64 1 (sqrt.f64 n)) (log1p.f64 n)) (*.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))) (fma.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1))) (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2) (fma.f64 n (log.f64 n) 1)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1)) (fma.f64 n (log.f64 n) 1)))
(fma.f64 (sqrt.f64 (log1p.f64 n)) (*.f64 (sqrt.f64 (log1p.f64 n)) (+.f64 n 1)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (sqrt.f64 (log1p.f64 n)) (*.f64 (sqrt.f64 (log1p.f64 n)) (+.f64 n 1)) (*.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1))
(fma.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 3) (pow.f64 (fma.f64 n (log.f64 n) 1) 3)) (/.f64 1 (fma.f64 (fma.f64 n (log.f64 n) 1) (fma.f64 (log1p.f64 n) (+.f64 n 1) (fma.f64 n (log.f64 n) 1)) (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 2))) (fma.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 3) (pow.f64 (fma.f64 n (log.f64 n) 1) 3)) (/.f64 1 (fma.f64 (fma.f64 n (log.f64 n) 1) (fma.f64 (log1p.f64 n) (+.f64 n 1) (fma.f64 n (log.f64 n) 1)) (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1))) (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2) (fma.f64 n (log.f64 n) 1)))
(fma.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 3) (pow.f64 (fma.f64 n (log.f64 n) 1) 3)) (/.f64 1 (fma.f64 (fma.f64 n (log.f64 n) 1) (fma.f64 (log1p.f64 n) (+.f64 n 1) (fma.f64 n (log.f64 n) 1)) (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 2))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1)) (fma.f64 n (log.f64 n) 1)))
(fma.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 2) (pow.f64 (fma.f64 n (log.f64 n) 1) 2)) (/.f64 1 (fma.f64 (log1p.f64 n) (+.f64 n 1) (fma.f64 n (log.f64 n) 1))) (fma.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 2) (pow.f64 (fma.f64 n (log.f64 n) 1) 2)) (/.f64 1 (fma.f64 (log1p.f64 n) (+.f64 n 1) (fma.f64 n (log.f64 n) 1))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1))) (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2) (fma.f64 n (log.f64 n) 1)))
(fma.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 2) (pow.f64 (fma.f64 n (log.f64 n) 1) 2)) (/.f64 1 (fma.f64 (log1p.f64 n) (+.f64 n 1) (fma.f64 n (log.f64 n) 1))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1)) (fma.f64 n (log.f64 n) 1)))
(fma.f64 (neg.f64 (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1)) (*.f64 (log1p.f64 n) (+.f64 n 1)))
(fma.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (*.f64 n (log.f64 n)))) (cbrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (*.f64 n (log.f64 n))))) (cbrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (*.f64 n (log.f64 n)))) -1)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 n (log.f64 n) 1))) (cbrt.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)))) (cbrt.f64 (neg.f64 (fma.f64 n (log.f64 n) 1))) (*.f64 (log1p.f64 n) (+.f64 n 1)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (*.f64 n (log.f64 n)))) (sqrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (*.f64 n (log.f64 n)))) -1)
(fma.f64 (sqrt.f64 (neg.f64 (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (neg.f64 (fma.f64 n (log.f64 n) 1))) (*.f64 (log1p.f64 n) (+.f64 n 1)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (sqrt.f64 (*.f64 n (log.f64 n)))) (-.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (sqrt.f64 (*.f64 n (log.f64 n)))) -1)
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (-.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (fma.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (-.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1))) (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2) (fma.f64 n (log.f64 n) 1)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (-.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1)) (fma.f64 n (log.f64 n) 1)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2)) (cbrt.f64 (fma.f64 n (log.f64 n) 1)) (*.f64 (log1p.f64 n) (+.f64 n 1)))
(fma.f64 (*.f64 (log1p.f64 n) (pow.f64 (cbrt.f64 (+.f64 n 1)) 2)) (cbrt.f64 (+.f64 n 1)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (*.f64 (log1p.f64 n) (pow.f64 (cbrt.f64 (+.f64 n 1)) 2)) (cbrt.f64 (+.f64 n 1)) (*.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1))
(fma.f64 (*.f64 (log1p.f64 n) (hypot.f64 1 (sqrt.f64 n))) (hypot.f64 1 (sqrt.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (*.f64 (log1p.f64 n) (hypot.f64 1 (sqrt.f64 n))) (hypot.f64 1 (sqrt.f64 n)) (*.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1))
(fma.f64 (*.f64 (+.f64 n 1) (pow.f64 (cbrt.f64 (log1p.f64 n)) 2)) (cbrt.f64 (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (*.f64 (+.f64 n 1) (pow.f64 (cbrt.f64 (log1p.f64 n)) 2)) (cbrt.f64 (log1p.f64 n)) (*.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1))
(fma.f64 (*.f64 (+.f64 n 1) (sqrt.f64 (log1p.f64 n))) (sqrt.f64 (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (*.f64 (+.f64 n 1) (sqrt.f64 (log1p.f64 n))) (sqrt.f64 (log1p.f64 n)) (*.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1))
(-.f64 (fma.f64 n (log.f64 n) 1) 1)
(pow.f64 (*.f64 n (log.f64 n)) 1)
(pow.f64 (cbrt.f64 (*.f64 n (log.f64 n))) 3)
(pow.f64 (pow.f64 (*.f64 n (log.f64 n)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 n (log.f64 n))) 2)
(sqrt.f64 (pow.f64 (*.f64 n (log.f64 n)) 2))
(log.f64 (pow.f64 n n))
(log.f64 (+.f64 1 (-.f64 (pow.f64 n n) 1)))
(cbrt.f64 (pow.f64 (*.f64 n (log.f64 n)) 3))
(expm1.f64 (log1p.f64 (*.f64 n (log.f64 n))))
(expm1.f64 (*.f64 (log1p.f64 (*.f64 n (log.f64 n))) 1))
(exp.f64 (log.f64 (*.f64 n (log.f64 n))))
(exp.f64 (*.f64 (log.f64 (*.f64 n (log.f64 n))) 1))
(log1p.f64 (-.f64 (pow.f64 n n) 1))
(+.f64 (log1p.f64 n) (*.f64 n (log1p.f64 n)))
(+.f64 (log1p.f64 n) (*.f64 (log1p.f64 n) n))
(+.f64 (*.f64 n (log1p.f64 n)) (log1p.f64 n))
(+.f64 (*.f64 (log1p.f64 n) n) (log1p.f64 n))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)))) 1)
(/.f64 (*.f64 (log1p.f64 n) (+.f64 1 (pow.f64 n 3))) (-.f64 (fma.f64 n n 1) n))
(/.f64 (*.f64 (log1p.f64 n) (fma.f64 n n -1)) (+.f64 n -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 n 3)) (log1p.f64 n)) (-.f64 (fma.f64 n n 1) n))
(/.f64 (*.f64 (fma.f64 n n -1) (log1p.f64 n)) (+.f64 n -1))
(pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 1)
(pow.f64 (cbrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) 3)
(pow.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) 2)
(sqrt.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 2))
(log.f64 (pow.f64 (+.f64 n 1) (+.f64 n 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)))))
(cbrt.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 3))
(expm1.f64 (log1p.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))))
(exp.f64 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n))) 1))
(log1p.f64 (expm1.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))))
(fma.f64 n (log1p.f64 n) (log1p.f64 n))
(fma.f64 (log1p.f64 n) n (log1p.f64 n))
(fma.f64 (log1p.f64 n) 1 (*.f64 n (log1p.f64 n)))
(fma.f64 (log1p.f64 n) 1 (*.f64 (log1p.f64 n) n))
(fma.f64 1 (log1p.f64 n) (*.f64 n (log1p.f64 n)))
(fma.f64 1 (log1p.f64 n) (*.f64 (log1p.f64 n) n))
(fma.f64 (cbrt.f64 (log1p.f64 n)) (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (*.f64 n (log1p.f64 n)))
(fma.f64 (cbrt.f64 (log1p.f64 n)) (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (*.f64 (log1p.f64 n) n))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (cbrt.f64 (log1p.f64 n)) (*.f64 n (log1p.f64 n)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (cbrt.f64 (log1p.f64 n)) (*.f64 (log1p.f64 n) n))
(fma.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log1p.f64 n)) (*.f64 n (log1p.f64 n)))
(fma.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log1p.f64 n)) (*.f64 (log1p.f64 n) n))

simplify228.0ms (3.6%)

Algorithm
egg-herbie
Rules
1604×fma-neg
880×times-frac
628×fma-def
502×log-prod
388×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
055916275
1142614868
2480214868
Stop Event
node limit
Counts
305 → 425
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -1 (*.f64 n (log.f64 n))) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 n (log.f64 n))) (pow.f64 n 2)) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 n (log.f64 n))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (pow.f64 n 2))) 1)
(/.f64 -1/2 n)
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))))
(-.f64 (+.f64 (*.f64 1/5 (/.f64 1 (pow.f64 n 4))) (*.f64 1/3 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))))
(/.f64 -1/2 n)
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))))
(-.f64 (+.f64 (*.f64 1/5 (/.f64 1 (pow.f64 n 4))) (*.f64 1/3 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))))
(*.f64 -1 (log.f64 n))
(+.f64 n (*.f64 -1 (log.f64 n)))
(+.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (*.f64 -1/2 (pow.f64 n 2))))
(+.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (+.f64 (*.f64 -1/2 (pow.f64 n 2)) (*.f64 1/3 (pow.f64 n 3)))))
(/.f64 1 n)
(-.f64 (/.f64 1 n) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (/.f64 1 n)) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (/.f64 1 n)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 4))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))))
(/.f64 1 n)
(-.f64 (/.f64 1 n) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (/.f64 1 n)) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (/.f64 1 n)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 4))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))))
-1
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(fma.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 2) (pow.f64 (fma.f64 n (log.f64 n) 1) 2)) (/.f64 1 (fma.f64 (log1p.f64 n) (+.f64 n 1) (fma.f64 n (log.f64 n) 1))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1))) (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2) (fma.f64 n (log.f64 n) 1)))
(fma.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 2) (pow.f64 (fma.f64 n (log.f64 n) 1) 2)) (/.f64 1 (fma.f64 (log1p.f64 n) (+.f64 n 1) (fma.f64 n (log.f64 n) 1))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1)) (fma.f64 n (log.f64 n) 1)))
(fma.f64 (neg.f64 (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1)) (*.f64 (log1p.f64 n) (+.f64 n 1)))
(fma.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (*.f64 n (log.f64 n)))) (cbrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (*.f64 n (log.f64 n))))) (cbrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (*.f64 n (log.f64 n)))) -1)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 n (log.f64 n) 1))) (cbrt.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)))) (cbrt.f64 (neg.f64 (fma.f64 n (log.f64 n) 1))) (*.f64 (log1p.f64 n) (+.f64 n 1)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (*.f64 n (log.f64 n)))) (sqrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (*.f64 n (log.f64 n)))) -1)
(fma.f64 (sqrt.f64 (neg.f64 (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (neg.f64 (fma.f64 n (log.f64 n) 1))) (*.f64 (log1p.f64 n) (+.f64 n 1)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (sqrt.f64 (*.f64 n (log.f64 n)))) (-.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (sqrt.f64 (*.f64 n (log.f64 n)))) -1)
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (-.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (fma.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (-.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1))) (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2) (fma.f64 n (log.f64 n) 1)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (-.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1)) (fma.f64 n (log.f64 n) 1)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2)) (cbrt.f64 (fma.f64 n (log.f64 n) 1)) (*.f64 (log1p.f64 n) (+.f64 n 1)))
(fma.f64 (*.f64 (log1p.f64 n) (pow.f64 (cbrt.f64 (+.f64 n 1)) 2)) (cbrt.f64 (+.f64 n 1)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (*.f64 (log1p.f64 n) (pow.f64 (cbrt.f64 (+.f64 n 1)) 2)) (cbrt.f64 (+.f64 n 1)) (*.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1))
(fma.f64 (*.f64 (log1p.f64 n) (hypot.f64 1 (sqrt.f64 n))) (hypot.f64 1 (sqrt.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (*.f64 (log1p.f64 n) (hypot.f64 1 (sqrt.f64 n))) (hypot.f64 1 (sqrt.f64 n)) (*.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1))
(fma.f64 (*.f64 (+.f64 n 1) (pow.f64 (cbrt.f64 (log1p.f64 n)) 2)) (cbrt.f64 (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (*.f64 (+.f64 n 1) (pow.f64 (cbrt.f64 (log1p.f64 n)) 2)) (cbrt.f64 (log1p.f64 n)) (*.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1))
(fma.f64 (*.f64 (+.f64 n 1) (sqrt.f64 (log1p.f64 n))) (sqrt.f64 (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(fma.f64 (*.f64 (+.f64 n 1) (sqrt.f64 (log1p.f64 n))) (sqrt.f64 (log1p.f64 n)) (*.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1))
(-.f64 (fma.f64 n (log.f64 n) 1) 1)
(pow.f64 (*.f64 n (log.f64 n)) 1)
(pow.f64 (cbrt.f64 (*.f64 n (log.f64 n))) 3)
(pow.f64 (pow.f64 (*.f64 n (log.f64 n)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 n (log.f64 n))) 2)
(sqrt.f64 (pow.f64 (*.f64 n (log.f64 n)) 2))
(log.f64 (pow.f64 n n))
(log.f64 (+.f64 1 (-.f64 (pow.f64 n n) 1)))
(cbrt.f64 (pow.f64 (*.f64 n (log.f64 n)) 3))
(expm1.f64 (log1p.f64 (*.f64 n (log.f64 n))))
(expm1.f64 (*.f64 (log1p.f64 (*.f64 n (log.f64 n))) 1))
(exp.f64 (log.f64 (*.f64 n (log.f64 n))))
(exp.f64 (*.f64 (log.f64 (*.f64 n (log.f64 n))) 1))
(log1p.f64 (-.f64 (pow.f64 n n) 1))
(+.f64 (log1p.f64 n) (*.f64 n (log1p.f64 n)))
(+.f64 (log1p.f64 n) (*.f64 (log1p.f64 n) n))
(+.f64 (*.f64 n (log1p.f64 n)) (log1p.f64 n))
(+.f64 (*.f64 (log1p.f64 n) n) (log1p.f64 n))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)))) 1)
(/.f64 (*.f64 (log1p.f64 n) (+.f64 1 (pow.f64 n 3))) (-.f64 (fma.f64 n n 1) n))
(/.f64 (*.f64 (log1p.f64 n) (fma.f64 n n -1)) (+.f64 n -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 n 3)) (log1p.f64 n)) (-.f64 (fma.f64 n n 1) n))
(/.f64 (*.f64 (fma.f64 n n -1) (log1p.f64 n)) (+.f64 n -1))
(pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 1)
(pow.f64 (cbrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) 3)
(pow.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) 2)
(sqrt.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 2))
(log.f64 (pow.f64 (+.f64 n 1) (+.f64 n 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)))))
(cbrt.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 3))
(expm1.f64 (log1p.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))))
(exp.f64 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n))) 1))
(log1p.f64 (expm1.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))))
(fma.f64 n (log1p.f64 n) (log1p.f64 n))
(fma.f64 (log1p.f64 n) n (log1p.f64 n))
(fma.f64 (log1p.f64 n) 1 (*.f64 n (log1p.f64 n)))
(fma.f64 (log1p.f64 n) 1 (*.f64 (log1p.f64 n) n))
(fma.f64 1 (log1p.f64 n) (*.f64 n (log1p.f64 n)))
(fma.f64 1 (log1p.f64 n) (*.f64 (log1p.f64 n) n))
(fma.f64 (cbrt.f64 (log1p.f64 n)) (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (*.f64 n (log1p.f64 n)))
(fma.f64 (cbrt.f64 (log1p.f64 n)) (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (*.f64 (log1p.f64 n) n))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (cbrt.f64 (log1p.f64 n)) (*.f64 n (log1p.f64 n)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (cbrt.f64 (log1p.f64 n)) (*.f64 (log1p.f64 n) n))
(fma.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log1p.f64 n)) (*.f64 n (log1p.f64 n)))
(fma.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log1p.f64 n)) (*.f64 (log1p.f64 n) n))
Outputs
-1
(-.f64 (*.f64 -1 (*.f64 n (log.f64 n))) 1)
(fma.f64 -1 (*.f64 n (log.f64 n)) -1)
(neg.f64 (fma.f64 n (log.f64 n) 1))
(fma.f64 (log.f64 n) (neg.f64 n) -1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 n (log.f64 n))) (pow.f64 n 2)) 1)
(+.f64 (fma.f64 -1 (*.f64 n (log.f64 n)) (pow.f64 n 2)) -1)
(fma.f64 (neg.f64 n) (log.f64 n) (fma.f64 n n -1))
(-.f64 (+.f64 (*.f64 -1 (*.f64 n (log.f64 n))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (pow.f64 n 2))) 1)
(+.f64 (fma.f64 -1 (*.f64 n (log.f64 n)) (fma.f64 -1/2 (pow.f64 n 3) (pow.f64 n 2))) -1)
(+.f64 -1 (-.f64 (fma.f64 -1/2 (pow.f64 n 3) (pow.f64 n 2)) (*.f64 n (log.f64 n))))
(+.f64 (fma.f64 -1/2 (pow.f64 n 3) (pow.f64 n 2)) (fma.f64 (log.f64 n) (neg.f64 n) -1))
(/.f64 -1/2 n)
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))
(-.f64 (/.f64 1/3 (pow.f64 n 2)) (/.f64 1/2 n))
(+.f64 (/.f64 1/3 (pow.f64 n 2)) (/.f64 -1/2 n))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))))
(-.f64 (-.f64 (/.f64 1/3 (pow.f64 n 2)) (/.f64 1/4 (pow.f64 n 3))) (/.f64 1/2 n))
(+.f64 (-.f64 (/.f64 1/3 (pow.f64 n 2)) (/.f64 1/4 (pow.f64 n 3))) (/.f64 -1/2 n))
(-.f64 (+.f64 (*.f64 1/5 (/.f64 1 (pow.f64 n 4))) (*.f64 1/3 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))))
(+.f64 (/.f64 1/5 (pow.f64 n 4)) (-.f64 (-.f64 (/.f64 1/3 (pow.f64 n 2)) (/.f64 1/4 (pow.f64 n 3))) (/.f64 1/2 n)))
(+.f64 (/.f64 1/3 (pow.f64 n 2)) (-.f64 (/.f64 1/5 (pow.f64 n 4)) (+.f64 (/.f64 1/2 n) (/.f64 1/4 (pow.f64 n 3)))))
(+.f64 (+.f64 (-.f64 (/.f64 1/3 (pow.f64 n 2)) (/.f64 1/4 (pow.f64 n 3))) (/.f64 -1/2 n)) (/.f64 1/5 (pow.f64 n 4)))
(/.f64 -1/2 n)
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))
(-.f64 (/.f64 1/3 (pow.f64 n 2)) (/.f64 1/2 n))
(+.f64 (/.f64 1/3 (pow.f64 n 2)) (/.f64 -1/2 n))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))))
(-.f64 (-.f64 (/.f64 1/3 (pow.f64 n 2)) (/.f64 1/4 (pow.f64 n 3))) (/.f64 1/2 n))
(+.f64 (-.f64 (/.f64 1/3 (pow.f64 n 2)) (/.f64 1/4 (pow.f64 n 3))) (/.f64 -1/2 n))
(-.f64 (+.f64 (*.f64 1/5 (/.f64 1 (pow.f64 n 4))) (*.f64 1/3 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))))
(+.f64 (/.f64 1/5 (pow.f64 n 4)) (-.f64 (-.f64 (/.f64 1/3 (pow.f64 n 2)) (/.f64 1/4 (pow.f64 n 3))) (/.f64 1/2 n)))
(+.f64 (/.f64 1/3 (pow.f64 n 2)) (-.f64 (/.f64 1/5 (pow.f64 n 4)) (+.f64 (/.f64 1/2 n) (/.f64 1/4 (pow.f64 n 3)))))
(+.f64 (+.f64 (-.f64 (/.f64 1/3 (pow.f64 n 2)) (/.f64 1/4 (pow.f64 n 3))) (/.f64 -1/2 n)) (/.f64 1/5 (pow.f64 n 4)))
(*.f64 -1 (log.f64 n))
(neg.f64 (log.f64 n))
(+.f64 n (*.f64 -1 (log.f64 n)))
(+.f64 n (neg.f64 (log.f64 n)))
(-.f64 n (log.f64 n))
(+.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (*.f64 -1/2 (pow.f64 n 2))))
(+.f64 n (fma.f64 -1 (log.f64 n) (*.f64 (pow.f64 n 2) -1/2)))
(+.f64 n (-.f64 (*.f64 (pow.f64 n 2) -1/2) (log.f64 n)))
(+.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (+.f64 (*.f64 -1/2 (pow.f64 n 2)) (*.f64 1/3 (pow.f64 n 3)))))
(+.f64 n (fma.f64 -1 (log.f64 n) (fma.f64 -1/2 (pow.f64 n 2) (*.f64 (pow.f64 n 3) 1/3))))
(+.f64 n (-.f64 (fma.f64 (pow.f64 n 2) -1/2 (*.f64 (pow.f64 n 3) 1/3)) (log.f64 n)))
(+.f64 (fma.f64 (pow.f64 n 3) 1/3 (*.f64 (pow.f64 n 2) -1/2)) (-.f64 n (log.f64 n)))
(/.f64 1 n)
(-.f64 (/.f64 1 n) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))
(-.f64 (/.f64 1 n) (/.f64 1/2 (pow.f64 n 2)))
(+.f64 (/.f64 1 n) (/.f64 -1/2 (pow.f64 n 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (/.f64 1 n)) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))
(+.f64 (/.f64 1/3 (pow.f64 n 3)) (-.f64 (/.f64 1 n) (/.f64 1/2 (pow.f64 n 2))))
(+.f64 (+.f64 (/.f64 1 n) (/.f64 1/3 (pow.f64 n 3))) (/.f64 -1/2 (pow.f64 n 2)))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 1/3 (pow.f64 n 3)) (/.f64 -1/2 (pow.f64 n 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (/.f64 1 n)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 4))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))))
(+.f64 (/.f64 1/3 (pow.f64 n 3)) (-.f64 (/.f64 1 n) (+.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 1/4 (pow.f64 n 4)))))
(/.f64 1 n)
(-.f64 (/.f64 1 n) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))
(-.f64 (/.f64 1 n) (/.f64 1/2 (pow.f64 n 2)))
(+.f64 (/.f64 1 n) (/.f64 -1/2 (pow.f64 n 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (/.f64 1 n)) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))
(+.f64 (/.f64 1/3 (pow.f64 n 3)) (-.f64 (/.f64 1 n) (/.f64 1/2 (pow.f64 n 2))))
(+.f64 (+.f64 (/.f64 1 n) (/.f64 1/3 (pow.f64 n 3))) (/.f64 -1/2 (pow.f64 n 2)))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 1/3 (pow.f64 n 3)) (/.f64 -1/2 (pow.f64 n 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (/.f64 1 n)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 4))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))))
(+.f64 (/.f64 1/3 (pow.f64 n 3)) (-.f64 (/.f64 1 n) (+.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 1/4 (pow.f64 n 4)))))
-1
(-.f64 (*.f64 n (-.f64 1 (log.f64 n))) 1)
(fma.f64 n (-.f64 1 (log.f64 n)) -1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 n 2)) (*.f64 n (-.f64 1 (log.f64 n)))) 1)
(+.f64 (*.f64 (pow.f64 n 2) 1/2) (fma.f64 n (-.f64 1 (log.f64 n)) -1))
(fma.f64 (pow.f64 n 2) 1/2 (fma.f64 n (-.f64 1 (log.f64 n)) -1))
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 n 3)) (+.f64 (*.f64 1/2 (pow.f64 n 2)) (*.f64 n (-.f64 1 (log.f64 n))))) 1)
(+.f64 (fma.f64 -1/6 (pow.f64 n 3) (fma.f64 1/2 (pow.f64 n 2) (*.f64 n (-.f64 1 (log.f64 n))))) -1)
(fma.f64 (pow.f64 n 3) -1/6 (fma.f64 (pow.f64 n 2) 1/2 (fma.f64 n (-.f64 1 (log.f64 n)) -1)))
(*.f64 -1 (log.f64 (/.f64 1 n)))
(neg.f64 (neg.f64 (log.f64 n)))
(log.f64 n)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (*.f64 1/2 (/.f64 1 n)))
(fma.f64 -1 (neg.f64 (log.f64 n)) (/.f64 1/2 n))
(+.f64 (log.f64 n) (/.f64 1/2 n))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (*.f64 1/2 (/.f64 1 n))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 n)) (/.f64 1/2 n)) (/.f64 1/6 (pow.f64 n 2)))
(+.f64 (log.f64 n) (+.f64 (/.f64 1/2 n) (/.f64 -1/6 (pow.f64 n 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n)))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 n)) (+.f64 (/.f64 1/2 n) (/.f64 1/12 (pow.f64 n 3)))) (/.f64 1/6 (pow.f64 n 2)))
(+.f64 (log.f64 n) (+.f64 (/.f64 1/12 (pow.f64 n 3)) (+.f64 (/.f64 1/2 n) (/.f64 -1/6 (pow.f64 n 2)))))
(+.f64 (log.f64 n) (+.f64 (/.f64 1/2 n) (-.f64 (/.f64 1/12 (pow.f64 n 3)) (/.f64 1/6 (pow.f64 n 2)))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 n))))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 1/2 (/.f64 1 n))))
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(log1p.f64 (expm1.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))))
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
(fma.f64 (log1p.f64 n) (+.f64 n 1) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
(fma.f64 (log1p.f64 n) (+.f64 n 1) (*.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1))
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
(fma.f64 -1 (fma.f64 n (log.f64 n) 1) (*.f64 (log1p.f64 n) (+.f64 n 1)))
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
(fma.f64 1 (*.f64 (log1p.f64 n) (+.f64 n 1)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
(fma.f64 1 (*.f64 (log1p.f64 n) (+.f64 n 1)) (*.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1))
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
(fma.f64 1 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1)) (fma.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1 (fma.f64 n (log.f64 n) 1)))
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(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
(fma.f64 1 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (*.f64 n (log.f64 n))) -1)
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
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(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
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(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
(fma.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 1 (neg.f64 (fma.f64 n (log.f64 n) 1)))
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
(fma.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 1 (*.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1))
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
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(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
(fma.f64 (cbrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) 2) (*.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1))
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
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(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) 2) (cbrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) (*.f64 (neg.f64 (fma.f64 n (log.f64 n) 1)) 1))
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2) (neg.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1))) (*.f64 (log1p.f64 n) (+.f64 n 1)))
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 n 1)) 2) (*.f64 (cbrt.f64 (+.f64 n 1)) (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) 1)))
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
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(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
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(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
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(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
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(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
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(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
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(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
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(-.f64 (*.f64 (log1p.f64 n) (*.f64 (hypot.f64 1 (sqrt.f64 n)) (hypot.f64 1 (sqrt.f64 n)))) (fma.f64 n (log.f64 n) 1))
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(-.f64 (*.f64 (log1p.f64 n) (*.f64 (hypot.f64 1 (sqrt.f64 n)) (hypot.f64 1 (sqrt.f64 n)))) (fma.f64 n (log.f64 n) 1))
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(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))
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(/.f64 (*.f64 (log1p.f64 n) (fma.f64 n n -1)) (+.f64 n -1))
(/.f64 (fma.f64 n n -1) (/.f64 (+.f64 -1 n) (log1p.f64 n)))
(/.f64 (log1p.f64 n) (/.f64 (+.f64 -1 n) (fma.f64 n n -1)))
(*.f64 (/.f64 (log1p.f64 n) (+.f64 -1 n)) (fma.f64 n n -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 n 3)) (log1p.f64 n)) (-.f64 (fma.f64 n n 1) n))
(/.f64 (+.f64 1 (pow.f64 n 3)) (/.f64 (-.f64 (fma.f64 n n 1) n) (log1p.f64 n)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 n 3)) (-.f64 (fma.f64 n n 1) n)) (log1p.f64 n))
(/.f64 (*.f64 (fma.f64 n n -1) (log1p.f64 n)) (+.f64 n -1))
(/.f64 (fma.f64 n n -1) (/.f64 (+.f64 -1 n) (log1p.f64 n)))
(/.f64 (log1p.f64 n) (/.f64 (+.f64 -1 n) (fma.f64 n n -1)))
(*.f64 (/.f64 (log1p.f64 n) (+.f64 -1 n)) (fma.f64 n n -1))
(pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 1)
(*.f64 (log1p.f64 n) (+.f64 n 1))
(pow.f64 (cbrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) 3)
(*.f64 (log1p.f64 n) (+.f64 n 1))
(pow.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 3) 1/3)
(*.f64 (log1p.f64 n) (+.f64 n 1))
(pow.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) 2)
(*.f64 (log1p.f64 n) (+.f64 n 1))
(sqrt.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 2))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(log.f64 (pow.f64 (+.f64 n 1) (+.f64 n 1)))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)))))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(cbrt.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 3))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(expm1.f64 (log1p.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(exp.f64 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n))))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(exp.f64 (*.f64 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n))) 1))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(log1p.f64 (expm1.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(fma.f64 n (log1p.f64 n) (log1p.f64 n))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(fma.f64 (log1p.f64 n) n (log1p.f64 n))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(fma.f64 (log1p.f64 n) 1 (*.f64 n (log1p.f64 n)))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(fma.f64 (log1p.f64 n) 1 (*.f64 (log1p.f64 n) n))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(fma.f64 1 (log1p.f64 n) (*.f64 n (log1p.f64 n)))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(fma.f64 1 (log1p.f64 n) (*.f64 (log1p.f64 n) n))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(fma.f64 (cbrt.f64 (log1p.f64 n)) (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (*.f64 n (log1p.f64 n)))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(fma.f64 (cbrt.f64 (log1p.f64 n)) (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (*.f64 (log1p.f64 n) n))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (cbrt.f64 (log1p.f64 n)) (*.f64 n (log1p.f64 n)))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (cbrt.f64 (log1p.f64 n)) (*.f64 (log1p.f64 n) n))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(fma.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log1p.f64 n)) (*.f64 n (log1p.f64 n)))
(*.f64 (log1p.f64 n) (+.f64 n 1))
(fma.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log1p.f64 n)) (*.f64 (log1p.f64 n) n))
(*.f64 (log1p.f64 n) (+.f64 n 1))

eval144.0ms (2.3%)

Compiler

Compiled 9369 to 4940 computations (47.3% saved)

prune54.0ms (0.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New4241425
Fresh000
Picked202
Done000
Total4261427
Accuracy
100.0%
Counts
427 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log.f64 n)
100.0%
(log.f64 n)
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize33.0ms (0.5%)

Compiler

Compiled 5 to 3 computations (40% saved)

Mixed Sampling
Click to see full mixed sampling table
opprecxtime
const2562560.0ms
ival-log2562566.0ms

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Accuracy
100.0%
Counts
1 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log.f64 n)
Compiler

Compiled 47 to 28 computations (40.4% saved)

regimes10.0ms (0.2%)

Accuracy

Total -63.0b remaining (-∞%)

Threshold costs -63b (-∞%)

Counts
4 → 1
Calls
Call 1
Inputs
(log.f64 n)
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 n (log.f64 n)) 1))
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
(+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))
Outputs
(log.f64 n)
Calls

3 calls:

4.0ms
n
3.0ms
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
2.0ms
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n)))
Results
AccuracySegmentsBranch
100.0%1n
100.0%1(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
100.0%1(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n)))
Compiler

Compiled 76 to 49 computations (35.5% saved)

simplify1.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
Stop Event
done
saturated
Calls
Call 1
Inputs
(log.f64 n)
Outputs
(log.f64 n)
Compiler

Compiled 3 to 2 computations (33.3% saved)

soundness891.0ms (14.2%)

Rules
2368×associate--l+
1604×fma-neg
1210×sub-neg
1070×unsub-neg
966×fma-neg
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
023256
158208
2160200
3520200
42076196
54550196
65648196
76498196
86950196
97133196
107148196
117151196
127151196
137154196
147208196
157208196
055916275
1142614868
2480214868
Stop Event
node limit
node limit
Compiler

Compiled 49 to 32 computations (34.7% saved)

end0.0ms (0%)

preprocess38.0ms (0.6%)

Compiler

Compiled 88 to 68 computations (22.7% saved)

Profiling

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