Details

Time bar (total: 3.0s)

analyze4.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
62.5%25%12.5%4
68.7%12.5%18.8%5
71.8%6.2%21.9%6
73.4%3.1%23.5%7
74.2%1.6%24.3%8
74.6%0.8%24.6%9
75%0.4%24.6%10
75.1%0.2%24.7%11
75.1%0.1%24.8%12
75.1%0%24.8%13
75.2%0%24.8%14
Compiler

Compiled 8 to 6 computations (25% saved)

sample2.4s (82.2%)

Results
1.2s2680×body1024valid
594.0ms3162×body128valid
331.0ms1413×body512valid
159.0ms712×body256valid
121.0ms289×body2048valid
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify15.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
95×fma-def_binary64
80×fma-neg_binary64
32×distribute-rgt-in_binary64
27×cancel-sign-sub-inv_binary64
26×distribute-lft-in_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
1156
2186
3226
4306
5386
6576
7866
81136
91546
102246
112616
122976
133006
142636

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.0b
(/.f64 (expm1.f64 x) x)
Compiler

Compiled 21 to 13 computations (38.1% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (expm1.f64 x) x)

series3.0ms (0.1%)

Counts
1 → 12
Calls

1 calls:

3.0ms
(/.f64 (expm1.f64 x) x)

rewrite72.0ms (2.4%)

Algorithm
2×batch-egg-rewrite
Rules
61×egg-rr
Counts
1 → 61
Calls

2 calls:

71.0ms
((/.f64 (expm1.f64 x) x))
0.0ms
()
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
1826
210766
348006
462806
000
100

simplify77.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
538×unswap-sqr_binary64
529×associate-*l*_binary64
501×fma-neg_binary64
484×fma-def_binary64
348×associate-/l*_binary64
Counts
73 → 71
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02691
16789
214086
332779
474876
5224876
6456976
7495076
8500076
9491376

prune33.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New70171
Fresh000
Picked011
Done000
Total70272
Error
0b
Counts
72 → 2
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 (expm1.f64 x) x)
▶22.4b
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
Compiler

Compiled 757 to 365 computations (51.8% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
✓0.2b
(fma.f64 x 1/6 1/2)

series4.0ms (0.1%)

Counts
2 → 24
Calls

2 calls:

2.0ms
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
2.0ms
(fma.f64 x 1/6 1/2)

rewrite39.0ms (1.3%)

Algorithm
2×batch-egg-rewrite
Rules
66×egg-rr
Counts
2 → 66
Calls

2 calls:

37.0ms
((fma.f64 x 1/6 1/2) (fma.f64 x (fma.f64 x 1/6 1/2) 1))
0.0ms
()
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
113614
2137914
3488514
000
100

simplify134.0ms (4.5%)

Algorithm
1×egg-herbie
Rules
804×sqr-pow_binary64
546×associate-*l*_binary64
512×fma-def_binary64
492×fabs-mul_binary64
489×cube-prod_binary64
Counts
90 → 79
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
014200
130180
246156
382144
4159144
5367144
61068144
71790144
81928144
92084144
102264144
112445144
122658144
132847144
143267144
153832144
164518144
174736144
184681144

prune72.0ms (2.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New79079
Fresh000
Picked011
Done011
Total79281
Error
0b
Counts
81 → 2
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 (expm1.f64 x) x)
✓22.4b
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
Compiler

Compiled 1011 to 810 computations (19.9% saved)

regimes27.0ms (0.9%)

Accuracy

Total 0.0b remaining (73.9%)

Threshold costs 0.0b (73.9%)

Counts
12 → 1
Compiler

Compiled 197 to 147 computations (25.4% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
146

end37.0ms (1.2%)

Compiler

Compiled 23 to 15 computations (34.8% saved)

Profiling

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