Details

Time bar (total: 1.4s)

analyze21.0ms (1.5%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%50%50%0
0%50%50%1
0%50%50%2
0%50%50%3
37.5%12.5%50%4
43.7%6.2%50%5
46.9%3.1%50%6
48.4%1.6%50%7
49.2%0.8%50%8
49.6%0.4%50%9
49.8%0.2%50%10
49.9%0.1%50%11
49.9%0%50%12
50%0%50%13
50%0%50%14
Compiler

Compiled 29 to 19 computations (34.5% saved)

sample1.0s (69.9%)

Results
996.0ms8256×body128valid
Compiler

Compiled 58 to 38 computations (34.5% saved)

preprocess27.0ms (1.9%)

Algorithm
2×egg-herbie
Rules
554×associate-/r*_binary64
513×distribute-rgt-in_binary64
416×associate-/r/_binary64
349×fma-def_binary64
319×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01131
14026
220017
3131613
4358513
011
Stop Event
1×saturated
1×node limit
Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify20.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
554×associate-/r*_binary64
513×distribute-rgt-in_binary64
416×associate-/r/_binary64
349×fma-def_binary64
319×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01131
14026
220017
3131613
4358513
Stop Event
1×node limit
Counts
1 → 2

prune7.0ms (0.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
6.5b
Counts
3 → 2
Alt Table
StatusErrorProgram
46.8b
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1))
▶6.5b
(/.f64 1/4 (-.f64 4 (/.f64 i (pow.f64 i 3))))
Compiler

Compiled 107 to 74 computations (30.8% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 1/4 (-.f64 4 (/.f64 i (pow.f64 i 3))))
✓12.0b
(/.f64 i (pow.f64 i 3))

series5.0ms (0.3%)

Counts
2 → 24
Calls

6 calls:

1.0ms
(/.f64 1/4 (-.f64 4 (/.f64 i (pow.f64 i 3))))
i
0
1.0ms
(/.f64 i (pow.f64 i 3))
i
0
1.0ms
(/.f64 1/4 (-.f64 4 (/.f64 i (pow.f64 i 3))))
i
-inf
1.0ms
(/.f64 1/4 (-.f64 4 (/.f64 i (pow.f64 i 3))))
i
inf
1.0ms
(/.f64 i (pow.f64 i 3))
i
-inf

rewrite45.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
437×log-prod_binary64
172×expm1-udef_binary64
172×log1p-udef_binary64
168×pow1/3_binary64
150×pow3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0920
121114
2265414
Stop Event
1×node limit
Counts
2 → 68

simplify32.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
438×associate-*l*_binary64
438×fma-neg_binary64
413×unswap-sqr_binary64
320×cancel-sign-sub-inv_binary64
291×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041273
1104271
2285267
31068267
44284267
Stop Event
1×node limit
Counts
92 → 85

prune49.0ms (3.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New83285
Fresh101
Picked101
Done000
Total85287
Error
0b
Counts
87 → 2
Alt Table
StatusErrorProgram
32.8b
(*.f64 -1/4 (pow.f64 i 2))
▶0.3b
(/.f64 1/4 (-.f64 4 (/.f64 1 (pow.f64 i 2))))
Compiler

Compiled 1075 to 853 computations (20.7% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 1/4 (-.f64 4 (/.f64 1 (pow.f64 i 2))))
✓0.7b
(/.f64 1 (pow.f64 i 2))

series5.0ms (0.3%)

Counts
2 → 12
Calls

6 calls:

1.0ms
(/.f64 1/4 (-.f64 4 (/.f64 1 (pow.f64 i 2))))
i
0
1.0ms
(/.f64 1 (pow.f64 i 2))
i
0
1.0ms
(/.f64 1/4 (-.f64 4 (/.f64 1 (pow.f64 i 2))))
i
-inf
1.0ms
(/.f64 1/4 (-.f64 4 (/.f64 1 (pow.f64 i 2))))
i
inf
1.0ms
(/.f64 1 (pow.f64 i 2))
i
-inf

rewrite47.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
386×log-prod_binary64
246×pow2_binary64
171×expm1-udef_binary64
171×log1p-udef_binary64
168×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01014
122414
2258114
Stop Event
1×node limit
Counts
2 → 61

simplify38.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
448×associate-*l*_binary64
438×fma-neg_binary64
413×unswap-sqr_binary64
320×cancel-sign-sub-inv_binary64
291×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041189
1104187
2285183
31067183
44298183
Stop Event
1×node limit
Counts
73 → 76

prune46.0ms (3.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New76076
Fresh011
Picked011
Done000
Total76278
Error
0b
Counts
78 → 2
Alt Table
StatusErrorProgram
▶32.8b
(*.f64 -1/4 (pow.f64 i 2))
✓0.3b
(/.f64 1/4 (-.f64 4 (/.f64 1 (pow.f64 i 2))))
Compiler

Compiled 900 to 768 computations (14.7% saved)

localize3.0ms (0.2%)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done011
Total022
Error
0b
Counts
2 → 2
Alt Table
StatusErrorProgram
✓32.8b
(*.f64 -1/4 (pow.f64 i 2))
✓0.3b
(/.f64 1/4 (-.f64 4 (/.f64 1 (pow.f64 i 2))))
Compiler

Compiled 16 to 14 computations (12.5% saved)

regimes31.0ms (2.2%)

Accuracy

Total 0.3b remaining (96.5%)

Threshold costs 0.3b (96.5%)

Counts
10 → 1
Compiler

Compiled 328 to 241 computations (26.5% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
2×sub-neg_binary64
1×*-commutative_binary64
1×distribute-neg-frac_binary64
1×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11413
22013
32213
42313
Stop Event
1×saturated

end44.0ms (3%)

Stop Event
1×done
Compiler

Compiled 36 to 32 computations (11.1% saved)

Profiling

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