Details

Time bar (total: 2.7s)

analyze1.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
50%25%25%3
50%0%50%4
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample2.1s (79.3%)

Results
902.0ms1993×body1024valid
573.0ms4404×body128valid
339.0ms1039×body512valid
150.0ms233×body2048valid
122.0ms587×body256valid
Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify11.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
14×cancel-sign-sub-inv_binary64
12×sub-neg_binary64
10×distribute-rgt-in_binary64
Counts
1 → 2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0711
1128
2178
3248
4318
5488
6738
7938
81108
91208
101248
111268
121128

prune4.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
30.4b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶30.4b
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 25 to 16 computations (36% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓4.1b
(-.f64 (log1p.f64 N) (log.f64 N))

series4.0ms (0.1%)

Counts
1 → 12
Calls

1 calls:

3.0ms
(-.f64 (log1p.f64 N) (log.f64 N))

rewrite6.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
14×*-un-lft-identity_binary64
13×add-sqr-sqrt_binary64
12×prod-diff_binary64
11×add-cube-cbrt_binary64
6×pow1_binary64
Counts
1 → 39
Calls

1 calls:

4.0ms
(-.f64 (log1p.f64 N) (log.f64 N))

simplify109.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
435×fma-neg_binary64
299×fma-def_binary64
276×associate-*l*_binary64
252×associate-/r*_binary64
244×cancel-sign-sub-inv_binary64
Counts
51 → 56
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0102928
1214635
2600575
32045572
44184572
54526572
64942572
74836572

prune38.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New52456
Fresh000
Picked011
Done000
Total52557
Error
0.0b
Counts
57 → 5
Alt Table
StatusErrorProgram
30.4b
(-.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))) (log.f64 (sqrt.f64 N)))
▶30.3b
(log.f64 (/.f64 (+.f64 1 N) N))
31.5b
(+.f64 (fma.f64 1 (log1p.f64 N) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (log.f64 N)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (log.f64 N))) (*.f64 (cbrt.f64 (log.f64 N)) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (log.f64 N))))))
31.1b
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
✓30.4b
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 998 to 353 computations (64.6% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 1 N) N)
✓4.3b
(log.f64 (/.f64 (+.f64 1 N) N))

series5.0ms (0.2%)

Counts
2 → 24
Calls

2 calls:

3.0ms
(log.f64 (/.f64 (+.f64 1 N) N))
2.0ms
(/.f64 (+.f64 1 N) N)

rewrite12.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
33×*-un-lft-identity_binary64
24×times-frac_binary64
19×add-sqr-sqrt_binary64
19×add-cube-cbrt_binary64
16×log-prod_binary64
Counts
2 → 64
Calls

2 calls:

4.0ms
(/.f64 (+.f64 1 N) N)
3.0ms
(log.f64 (/.f64 (+.f64 1 N) N))

simplify83.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
809×fma-def_binary64
443×distribute-rgt-in_binary64
395×associate-/l/_binary64
394×fma-neg_binary64
377×distribute-lft-in_binary64
Counts
88 → 116
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01191207
12631146
26641124
318681117
444641079
549321079

prune57.0ms (2.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1133116
Fresh303
Picked101
Done011
Total1174121
Error
0b
Counts
121 → 4
Alt Table
StatusErrorProgram
18.0b
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
▶0.5b
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
30.3b
(log.f64 (+.f64 1 (/.f64 1 N)))
✓30.4b
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 1515 to 1049 computations (30.8% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(log1p.f64 (/.f64 1 N))
✓0.0b
(log1p.f64 (log1p.f64 (/.f64 1 N)))
✓0.6b
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))

series13.0ms (0.5%)

Counts
3 → 36
Calls

3 calls:

5.0ms
(log1p.f64 (log1p.f64 (/.f64 1 N)))
5.0ms
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
3.0ms
(log1p.f64 (/.f64 1 N))

rewrite2.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
5×expm1-log1p-u_binary64
3×*-un-lft-identity_binary64
3×add-sqr-sqrt_binary64
3×add-cube-cbrt_binary64
3×add-cbrt-cube_binary64
Counts
3 → 33
Calls

3 calls:

0.0ms
(log1p.f64 (log1p.f64 (/.f64 1 N)))
0.0ms
(log1p.f64 (/.f64 1 N))
0.0ms
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))

simplify74.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
535×cancel-sign-sub-inv_binary64
456×fma-neg_binary64
329×div-sub_binary64
311×associate-/l/_binary64
261×associate-/r/_binary64
Counts
69 → 62
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0971024
1219973
2620951
32236940
44515940
55083940

prune30.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New61162
Fresh112
Picked101
Done011
Total63366
Error
0b
Counts
66 → 3
Alt Table
StatusErrorProgram
▶0.0b
(log1p.f64 (/.f64 1 N))
18.0b
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
✓30.4b
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 876 to 662 computations (24.4% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(log1p.f64 (/.f64 1 N))

prune4.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New505
Fresh011
Picked011
Done011
Total538
Error
0b
Counts
8 → 3
Alt Table
StatusErrorProgram
✓0.0b
(log1p.f64 (/.f64 1 N))
18.0b
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
✓30.4b
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 59 to 48 computations (18.6% saved)

regimes35.0ms (1.3%)

Accuracy

Total 0.0b remaining (68%)

Threshold costs 0.0b (68%)

Counts
20 → 1
Compiler

Compiled 488 to 338 computations (30.7% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
176
266

end45.0ms (1.7%)

Compiler

Compiled 29 to 23 computations (20.7% saved)

Profiling

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