Details

Time bar (total: 2.6s)

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 (80.6%)

Results
940.0ms2094×body1024valid
537.0ms4326×body128valid
324.0ms1069×body512valid
180.0ms289×body2048valid
101.0ms478×body256valid
Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify10.0ms (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

prune5.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
27.1b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶27.1b
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 25 to 16 computations (36% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓3.0b
(-.f64 (log1p.f64 N) (log.f64 N))

series3.0ms (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))

simplify126.0ms (4.8%)

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

prune28.0ms (1.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New53356
Fresh000
Picked101
Done000
Total54357
Error
0.0b
Counts
57 → 3
Alt Table
StatusErrorProgram
▶27.0b
(log.f64 (/.f64 (+.f64 1 N) N))
35.0b
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
27.5b
(-.f64 (-.f64 (log1p.f64 N) (log.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 N)))) (log.f64 (cbrt.f64 N)))
Compiler

Compiled 892 to 309 computations (65.4% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 1 N) N)
✓3.1b
(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)

rewrite10.0ms (0.4%)

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))

simplify76.0ms (2.9%)

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

prune51.0ms (1.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1151116
Fresh202
Picked011
Done000
Total1172119
Error
0b
Counts
119 → 2
Alt Table
StatusErrorProgram
✓27.0b
(log.f64 (/.f64 (+.f64 1 N) N))
▶0.6b
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
Compiler

Compiled 1486 to 1024 computations (31.1% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series7.0ms (0.3%)

Counts
2 → 24
Calls

2 calls:

4.0ms
(log1p.f64 (log1p.f64 (/.f64 1 N)))
3.0ms
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))

rewrite1.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
3×expm1-log1p-u_binary64
2×*-un-lft-identity_binary64
2×add-sqr-sqrt_binary64
2×add-cube-cbrt_binary64
2×add-cbrt-cube_binary64
Counts
2 → 22
Calls

2 calls:

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

simplify66.0ms (2.5%)

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
46 → 57
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
088739
1217703
2618681
32234673
44513673
55081673

prune27.0ms (1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New57057
Fresh000
Picked011
Done011
Total57259
Error
0b
Counts
59 → 2
Alt Table
StatusErrorProgram
✓27.0b
(log.f64 (/.f64 (+.f64 1 N) N))
✓0.6b
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
Compiler

Compiled 809 to 605 computations (25.2% saved)

regimes30.0ms (1.2%)

Accuracy

Total -0.0b remaining (-0.9%)

Threshold costs -0.0b (-0.9%)

Counts
15 → 1
Compiler

Compiled 290 to 188 computations (35.2% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
056
176
266

end39.0ms (1.5%)

Compiler

Compiled 24 to 19 computations (20.8% saved)

Profiling

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