Details

Time bar (total: 1.6s)

analyze8.0ms (0.5%)

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

Compiled 7 to 6 computations (14.3% saved)

sample23.0ms (1.5%)

Algorithm
1×intervals
Results
5.0ms256×body128valid
Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify6.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×1-exp_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
1104
284

prune3.0ms (0.2%)

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)

localize5.0ms (0.3%)

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)

rewrite3.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
4×*-un-lft-identity_binary64
3×add-log-exp_binary64
3×fma-def_binary64
2×add-sqr-sqrt_binary64
2×add-cube-cbrt_binary64
Counts
1 → 17
Calls

1 calls:

2.0ms
(+.f64 x 1/3)

simplify81.0ms (5.2%)

Algorithm
1×egg-herbie
Rules
482×fma-def_binary64
459×neg-mul-1_binary64
410×neg-sub0_binary64
374×unswap-sqr_binary64
336×distribute-lft-out_binary64
Counts
29 → 28
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030148
169139
2120137
3242136
4533136
51263136
61920136
73477136
84449136
94948136

prune13.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New27128
Fresh000
Picked011
Done000
Total27229
Error
0b
Counts
29 → 2
Alt Table
StatusErrorProgram
✓0.0b
(+.f64 x 1/3)
▶21.1b
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (-.f64 x 1/3) 1/9))
Compiler

Compiled 230 to 172 computations (25.2% saved)

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (pow.f64 x 3) 1/27)
✓0.0b
(-.f64 x 1/3)
✓0.0b
(fma.f64 x (-.f64 x 1/3) 1/9)
✓20.4b
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (-.f64 x 1/3) 1/9))

series14.0ms (0.9%)

Counts
4 → 39
Calls

4 calls:

8.0ms
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (-.f64 x 1/3) 1/9))
2.0ms
(+.f64 (pow.f64 x 3) 1/27)
2.0ms
(fma.f64 x (-.f64 x 1/3) 1/9)
1.0ms
(-.f64 x 1/3)

rewrite21.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
36×*-un-lft-identity_binary64
26×add-sqr-sqrt_binary64
24×add-cube-cbrt_binary64
12×fma-def_binary64
12×times-frac_binary64
Counts
4 → 101
Calls

4 calls:

6.0ms
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (-.f64 x 1/3) 1/9))
5.0ms
(+.f64 (pow.f64 x 3) 1/27)
3.0ms
(-.f64 x 1/3)
0.0ms
(fma.f64 x (-.f64 x 1/3) 1/9)

simplify76.0ms (4.9%)

Algorithm
1×egg-herbie
Rules
438×associate-/l*_binary64
270×associate-*l*_binary64
263×fma-neg_binary64
243×cancel-sign-sub-inv_binary64
233×associate-*r*_binary64
Counts
140 → 166
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01471789
12771535
26451529
323351527
449221527

prune106.0ms (6.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1660166
Fresh000
Picked011
Done011
Total1662168
Error
0b
Counts
168 → 2
Alt Table
StatusErrorProgram
✓0.0b
(+.f64 x 1/3)
✓21.1b
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (-.f64 x 1/3) 1/9))
Compiler

Compiled 3244 to 2525 computations (22.2% saved)

regimes23.0ms (1.5%)

Accuracy

Total 0.0b remaining (70.4%)

Threshold costs 0.0b (70.4%)

Counts
8 → 1
Compiler

Compiled 154 to 123 computations (20.1% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
044
154
254

end0.0ms (0%)

Compiler

Compiled 4 to 3 computations (25% saved)

sample1.2s (75%)

Algorithm
1×intervals
Results
174.0ms8000×body128valid
Compiler

Compiled 29 to 23 computations (20.7% saved)

Profiling

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