Details

Time bar (total: 3.8s)

analyze925.0ms (24.6%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%75%25%3
0%50%50%4
0%50%50%5
0%50%50%6
0%50%50%7
0%50%50%8
0%50%50%9
0%50%50%10
0%50%50%11
0%50%50%12
0%50%50%13
0%50%50%14
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample2.3s (61%)

Results
921.0ms1995×body1024valid
662.0ms4368×body128valid
364.0ms1045×body512valid
200.0ms306×body2048valid
112.0ms542×body256valid
Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify14.0ms (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

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
28.7b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶28.7b
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 25 to 16 computations (36% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓3.7b
(-.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))

simplify103.0ms (2.8%)

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

prune29.0ms (0.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New52456
Fresh000
Picked101
Done000
Total53457
Error
0.0b
Counts
57 → 4
Alt Table
StatusErrorProgram
28.8b
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))
▶28.6b
(log.f64 (/.f64 (+.f64 1 N) N))
33.1b
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
31.7b
(/.f64 1 N)
Compiler

Compiled 920 to 323 computations (64.9% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 1 N) N)
✓3.8b
(log.f64 (/.f64 (+.f64 1 N) N))

series5.0ms (0.1%)

Counts
2 → 24
Calls

2 calls:

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

rewrite11.0ms (0.3%)

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))

simplify82.0ms (2.2%)

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

prune52.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1151116
Fresh213
Picked011
Done000
Total1173120
Error
0.0b
Counts
120 → 3
Alt Table
StatusErrorProgram
▶0.6b
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
✓28.6b
(log.f64 (/.f64 (+.f64 1 N) N))
31.7b
(/.f64 1 N)
Compiler

Compiled 1494 to 1030 computations (31.1% 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))))

series12.0ms (0.3%)

Counts
3 → 36
Calls

3 calls:

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

rewrite6.0ms (0.2%)

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:

4.0ms
(log1p.f64 (log1p.f64 (/.f64 1 N)))
1.0ms
(log1p.f64 (/.f64 1 N))
0.0ms
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))

simplify74.0ms (2%)

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

prune36.0ms (1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New61162
Fresh011
Picked011
Done011
Total61465
Error
0b
Counts
65 → 4
Alt Table
StatusErrorProgram
✓0.6b
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
✓28.6b
(log.f64 (/.f64 (+.f64 1 N) N))
▶31.7b
(/.f64 1 N)
32.8b
(expm1.f64 (-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2))))
Compiler

Compiled 888 to 671 computations (24.4% saved)

localize2.0ms (0%)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044
Error
0b
Counts
4 → 4
Alt Table
StatusErrorProgram
✓0.6b
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
✓28.6b
(log.f64 (/.f64 (+.f64 1 N) N))
✓31.7b
(/.f64 1 N)
32.8b
(expm1.f64 (-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2))))
Compiler

Compiled 29 to 23 computations (20.7% saved)

regimes33.0ms (0.9%)

Accuracy

Total 0.0b remaining (6.7%)

Threshold costs 0.0b (6.7%)

Counts
19 → 1
Compiler

Compiled 470 to 280 computations (40.4% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
056
176
266

end52.0ms (1.4%)

Compiler

Compiled 39 to 31 computations (20.5% saved)

Profiling

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