Details

Time bar (total: 2.8s)

analyze1.0ms (0%)

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 (75.5%)

Results
963.0ms2110×body1024valid
562.0ms4348×body128valid
323.0ms1031×body512valid
160.0ms251×body2048valid
109.0ms516×body256valid
Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify14.0ms (0.5%)

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
29.3b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶29.3b
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 25 to 16 computations (36% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(log1p.f64 N)
✓2.9b
(-.f64 (log1p.f64 N) (log.f64 N))

series6.0ms (0.2%)

Counts
2 → 24
Calls

2 calls:

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

rewrite6.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
15×*-un-lft-identity_binary64
14×add-sqr-sqrt_binary64
12×prod-diff_binary64
12×add-cube-cbrt_binary64
7×pow1_binary64
Counts
2 → 50
Calls

2 calls:

4.0ms
(-.f64 (log1p.f64 N) (log.f64 N))
0.0ms
(log1p.f64 N)

simplify117.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
849×fma-neg_binary64
443×fma-def_binary64
358×sub-neg_binary64
331×associate-*l*_binary64
273×associate-*r*_binary64
Counts
74 → 89
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01281171
1285854
2840790
32888783
44203783
54702779
64961779
74814779

prune55.0ms (1.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New85489
Fresh000
Picked101
Done000
Total86490
Error
0.0b
Counts
90 → 4
Alt Table
StatusErrorProgram
29.8b
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
29.9b
(-.f64 (-.f64 (log1p.f64 N) (*.f64 2 (log.f64 (cbrt.f64 N)))) (log.f64 (cbrt.f64 N)))
31.8b
(-.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))))
▶29.2b
(log.f64 (/.f64 (+.f64 1 N) N))
Compiler

Compiled 1337 to 562 computations (58% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 1 N) N)
✓3.0b
(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 (0.4%)

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:

5.0ms
(log.f64 (/.f64 (+.f64 1 N) N))
4.0ms
(/.f64 (+.f64 1 N) N)

simplify83.0ms (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

prune62.0ms (2.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1115116
Fresh303
Picked101
Done000
Total1155120
Error
0b
Counts
120 → 5
Alt Table
StatusErrorProgram
29.2b
(log.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 1 N) N))))
1.3b
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
3.3b
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
▶0.6b
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
29.2b
(log.f64 (+.f64 1 (/.f64 1 N)))
Compiler

Compiled 1561 to 1087 computations (30.4% saved)

localize12.0ms (0.4%)

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))))

series11.0ms (0.4%)

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))

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

simplify70.0ms (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
69 → 62
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0971024
1219973
2620951
32236940
44515940
55083940

prune39.0ms (1.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New60262
Fresh224
Picked101
Done000
Total63467
Error
0b
Counts
67 → 4
Alt Table
StatusErrorProgram
31.8b
(expm1.f64 (-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2))))
3.3b
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
29.2b
(log.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 1 N) N))))
▶0.0b
(log1p.f64 (/.f64 1 N))
Compiler

Compiled 908 to 688 computations (24.2% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

prune5.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New505
Fresh033
Picked011
Done000
Total549
Error
0b
Counts
9 → 4
Alt Table
StatusErrorProgram
31.8b
(expm1.f64 (-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2))))
3.3b
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
29.2b
(log.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 1 N) N))))
✓0.0b
(log1p.f64 (/.f64 1 N))
Compiler

Compiled 72 to 59 computations (18.1% saved)

regimes124.0ms (4.3%)

Accuracy

Total 0.0b remaining (23%)

Threshold costs 0.0b (23%)

Counts
46 → 1
Compiler

Compiled 1082 to 728 computations (32.7% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
056
176
266

end56.0ms (1.9%)

Compiler

Compiled 42 to 34 computations (19% saved)

Profiling

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