Details

Time bar (total: 2.2s)

analyze4.0ms (0.2%)

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)

sample1.8s (81.7%)

Results
897.0ms2789×body1024valid
323.0ms3149×body128valid
316.0ms1338×body512valid
137.0ms292×body2048valid
107.0ms688×body256valid
0.0ms2×body128invalid
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify15.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
066
1156
2186
3226
4306
5406
6596
71006
81466
92226
103496
115076
125796
136156
Stop Event
1×saturated
Counts
1 → 2

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)

rewrite35.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
417×log1p-expm1-u_binary64
417×expm1-log1p-u_binary64
286×unpow-prod-down_binary64
219×log-prod_binary64
117×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
1836
211146
Stop Event
1×node limit
Counts
1 → 70
Calls

1 calls:

34.0ms
(/.f64 (expm1.f64 x) x)

simplify27.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
536×unswap-sqr_binary64
502×associate-*l*_binary64
484×fma-def_binary64
309×associate-*r*_binary64
186×fma-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02691
16889
214586
339379
498176
5309576
Stop Event
1×node limit
Counts
82 → 80

prune61.0ms (2.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New78280
Fresh000
Picked011
Done000
Total78381
Error
0b
Counts
81 → 3
Alt Table
StatusErrorProgram
▶0.0b
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
✓0.0b
(/.f64 (expm1.f64 x) x)
20.5b
(fma.f64 1/2 x 1)
Compiler

Compiled 911 to 433 computations (52.5% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 x (expm1.f64 x))
✓0.0b
(pow.f64 (/.f64 x (expm1.f64 x)) -1)

series25.0ms (1.1%)

Counts
2 → 24
Calls

2 calls:

17.0ms
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
8.0ms
(/.f64 x (expm1.f64 x))

rewrite78.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
565×log1p-expm1-u_binary64
565×expm1-log1p-u_binary64
285×log-prod_binary64
153×pow2_binary64
106×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0615
112512
2157812
Stop Event
1×node limit
Counts
2 → 83
Calls

2 calls:

77.0ms
(/.f64 x (expm1.f64 x))
77.0ms
(pow.f64 (/.f64 x (expm1.f64 x)) -1)

simplify30.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
692×fma-neg_binary64
631×cancel-sign-sub-inv_binary64
347×fma-def_binary64
272×*-commutative_binary64
238×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034186
193180
2218173
3657158
42147158
Stop Event
1×node limit
Counts
107 → 99

prune46.0ms (2.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh011
Picked011
Done011
Total993102
Error
0b
Counts
102 → 3
Alt Table
StatusErrorProgram
✓0.0b
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
✓0.0b
(/.f64 (expm1.f64 x) x)
▶20.5b
(fma.f64 1/2 x 1)
Compiler

Compiled 1020 to 496 computations (51.4% saved)

localize3.0ms (0.1%)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033
Error
0b
Counts
3 → 3
Alt Table
StatusErrorProgram
✓0.0b
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
✓0.0b
(/.f64 (expm1.f64 x) x)
✓20.5b
(fma.f64 1/2 x 1)
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes24.0ms (1.1%)

Accuracy

Total 0.0b remaining (74.2%)

Threshold costs 0.0b (74.2%)

Counts
9 → 1
Compiler

Compiled 201 to 139 computations (30.8% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
Stop Event
1×saturated

end43.0ms (1.9%)

Compiler

Compiled 31 to 22 computations (29% saved)

Profiling

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