Details

Time bar (total: 1.6s)

analyze7.0ms (0.4%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample602.0ms (38.5%)

Results
572.0ms8256×body128valid
Compiler

Compiled 20 to 17 computations (15% saved)

simplify6.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
1104
Stop Event
1×saturated
Counts
1 → 2

prune2.0ms (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 x 1/3)
Compiler

Compiled 17 to 13 computations (23.5% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x 1/3)

series1.0ms (0.1%)

Counts
1 → 12
Calls

1 calls:

1.0ms
(+.f64 x 1/3)

rewrite37.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
446×log1p-expm1-u_binary64
446×expm1-log1p-u_binary64
384×pow1_binary64
216×unpow-prod-down_binary64
178×log-prod_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
1914
211404
Stop Event
1×node limit
Counts
1 → 46
Calls

1 calls:

36.0ms
(+.f64 x 1/3)

simplify7.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0439
1539
Stop Event
1×saturated
Counts
58 → 49

prune33.0ms (2.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New46349
Fresh000
Picked011
Done000
Total46450
Error
0b
Counts
50 → 4
Alt Table
StatusErrorProgram
▶17.1b
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
✓0.0b
(+.f64 x 1/3)
22.3b
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 1/27 (pow.f64 x 3))))
28.7b
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1/3) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x 1/3))))
Compiler

Compiled 523 to 406 computations (22.4% saved)

localize5.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 x x -1/9)
✓0.0b
(+.f64 x -1/3)
✓0.0b
(/.f64 1 (+.f64 x -1/3))
✓15.9b
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))

series10.0ms (0.6%)

Counts
4 → 48
Calls

4 calls:

5.0ms
(/.f64 1 (+.f64 x -1/3))
2.0ms
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
2.0ms
(fma.f64 x x -1/9)
1.0ms
(+.f64 x -1/3)

rewrite52.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
848×log1p-expm1-u_binary64
848×expm1-log1p-u_binary64
124×egg-rr
92×add-sqr-sqrt_binary64
90×prod-diff_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0927
119420
2233720
Stop Event
1×node limit
Counts
4 → 124
Calls

4 calls:

45.0ms
(fma.f64 x x -1/9)
45.0ms
(+.f64 x -1/3)
45.0ms
(/.f64 1 (+.f64 x -1/3))
45.0ms
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))

simplify29.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
601×associate-/r*_binary64
403×fma-def_binary64
272×distribute-rgt-neg-in_binary64
254×associate-/l/_binary64
240×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
044339
1113315
2287311
3853306
42750306
Stop Event
1×node limit
Counts
172 → 149

prune88.0ms (5.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1490149
Fresh022
Picked011
Done011
Total1494153
Error
0b
Counts
153 → 4
Alt Table
StatusErrorProgram
✓17.1b
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
✓0.0b
(+.f64 x 1/3)
▶22.3b
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 1/27 (pow.f64 x 3))))
28.7b
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1/3) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x 1/3))))
Compiler

Compiled 2062 to 1502 computations (27.2% saved)

localize9.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 x x 1/9)
✓0.1b
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 1/27 (pow.f64 x 3))))
✓0.3b
(*.f64 x 1/3)
✓21.8b
(/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 1/27 (pow.f64 x 3)))

series11.0ms (0.7%)

Counts
4 → 48
Calls

4 calls:

5.0ms
(/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 1/27 (pow.f64 x 3)))
3.0ms
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 1/27 (pow.f64 x 3))))
2.0ms
(fma.f64 x x 1/9)
1.0ms
(*.f64 x 1/3)

rewrite67.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
254×expm1-udef_binary64
254×log1p-udef_binary64
183×fma-neg_binary64
147×add-sqr-sqrt_binary64
144×add-cbrt-cube_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01452
131449
2415549
Stop Event
1×node limit
Counts
4 → 134
Calls

4 calls:

65.0ms
(fma.f64 x x 1/9)
65.0ms
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 1/27 (pow.f64 x 3))))
65.0ms
(*.f64 x 1/3)
65.0ms
(/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 1/27 (pow.f64 x 3)))

simplify29.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
922×fma-neg_binary64
730×cancel-sign-sub-inv_binary64
415×times-frac_binary64
255×fma-def_binary64
185×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038346
1105324
2265320
3776312
42588312
Stop Event
1×node limit
Counts
182 → 159

prune122.0ms (7.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1581159
Fresh101
Picked011
Done022
Total1594163
Error
0b
Counts
163 → 4
Alt Table
StatusErrorProgram
✓17.1b
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
▶32.3b
(/.f64 1 (-.f64 (+.f64 3 (*.f64 27 (pow.f64 x 2))) (*.f64 9 x)))
✓0.0b
(+.f64 x 1/3)
✓22.3b
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 1/27 (pow.f64 x 3))))
Compiler

Compiled 3529 to 2738 computations (22.4% saved)

localize7.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 3 (*.f64 27 (pow.f64 x 2)))
✓0.0b
(-.f64 (+.f64 3 (*.f64 27 (pow.f64 x 2))) (*.f64 9 x))
✓0.2b
(*.f64 27 (pow.f64 x 2))
✓0.4b
(/.f64 1 (-.f64 (+.f64 3 (*.f64 27 (pow.f64 x 2))) (*.f64 9 x)))

series10.0ms (0.6%)

Counts
4 → 21
Calls

4 calls:

3.0ms
(/.f64 1 (-.f64 (+.f64 3 (*.f64 27 (pow.f64 x 2))) (*.f64 9 x)))
2.0ms
(+.f64 3 (*.f64 27 (pow.f64 x 2)))
2.0ms
(*.f64 27 (pow.f64 x 2))
2.0ms
(-.f64 (+.f64 3 (*.f64 27 (pow.f64 x 2))) (*.f64 9 x))

rewrite70.0ms (4.5%)

Algorithm
1×batch-egg-rewrite
Rules
409×fma-def_binary64
219×expm1-udef_binary64
219×log1p-udef_binary64
212×egg-rr
191×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01352
128446
2348342
Stop Event
1×node limit
Counts
4 → 212
Calls

4 calls:

66.0ms
(+.f64 3 (*.f64 27 (pow.f64 x 2)))
66.0ms
(-.f64 (+.f64 3 (*.f64 27 (pow.f64 x 2))) (*.f64 9 x))
66.0ms
(*.f64 27 (pow.f64 x 2))
66.0ms
(/.f64 1 (-.f64 (+.f64 3 (*.f64 27 (pow.f64 x 2))) (*.f64 9 x)))

simplify36.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
492×unswap-sqr_binary64
348×fma-def_binary64
334×associate-*l*_binary64
290×associate-/r*_binary64
271×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
043265
1120261
2319255
3955249
44044249
Stop Event
1×node limit
Counts
233 → 233

prune168.0ms (10.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2330233
Fresh000
Picked011
Done033
Total2334237
Error
0b
Counts
237 → 4
Alt Table
StatusErrorProgram
✓17.1b
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
✓32.3b
(/.f64 1 (-.f64 (+.f64 3 (*.f64 27 (pow.f64 x 2))) (*.f64 9 x)))
✓0.0b
(+.f64 x 1/3)
✓22.3b
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 1/27 (pow.f64 x 3))))
Compiler

Compiled 4544 to 3232 computations (28.9% saved)

regimes96.0ms (6.1%)

Accuracy

Total 0.0b remaining (73.9%)

Threshold costs 0.0b (73.9%)

Counts
52 → 1
Compiler

Compiled 1256 to 981 computations (21.9% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
154
Stop Event
1×saturated

end54.0ms (3.4%)

Compiler

Compiled 54 to 42 computations (22.2% saved)

Profiling

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