Details

Time bar (total: 860.0ms)

analyze4.0ms (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)

sample25.0ms (2.9%)

Algorithm
1×intervals
Results
5.0ms256×body128valid
Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify6.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
1124
2134
3104

prune2.0ms (0.3%)

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 (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x 1/3)

series1.0ms (0.2%)

Counts
1 → 3
Calls

1 calls:

1.0ms
(-.f64 x 1/3)

rewrite6.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
11×*-un-lft-identity_binary64
11×add-sqr-sqrt_binary64
9×prod-diff_binary64
9×add-cube-cbrt_binary64
3×cancel-sign-sub-inv_binary64
Counts
1 → 30
Calls

1 calls:

5.0ms
(-.f64 x 1/3)

simplify68.0ms (7.9%)

Algorithm
1×egg-herbie
Rules
979×fma-def_binary64
624×unswap-sqr_binary64
419×distribute-rgt-in_binary64
387×*-commutative_binary64
384×distribute-lft-in_binary64
Counts
33 → 47
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
065280
1106169
2149169
3334168
4890168
52382168
62527168
73602168
85344168

prune25.0ms (2.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New46147
Fresh000
Picked011
Done000
Total46248
Error
0b
Counts
48 → 2
Alt Table
StatusErrorProgram
✓0.0b
(-.f64 x 1/3)
▶20.4b
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
Compiler

Compiled 527 to 408 computations (22.6% saved)

localize10.0ms (1.1%)

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)
✓19.7b
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x 1/3) 1/9))

series9.0ms (1.1%)

Counts
4 → 39
Calls

4 calls:

3.0ms
(/.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)

rewrite31.0ms (3.6%)

Algorithm
1×rewrite-expression-head
Rules
78×add-sqr-sqrt_binary64
55×*-un-lft-identity_binary64
43×add-cube-cbrt_binary64
36×prod-diff_binary64
24×times-frac_binary64
Counts
4 → 148
Calls

4 calls:

11.0ms
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
9.0ms
(-.f64 (pow.f64 x 3) 1/27)
2.0ms
(+.f64 x 1/3)
0.0ms
(fma.f64 x (+.f64 x 1/3) 1/9)

simplify136.0ms (15.8%)

Algorithm
1×egg-herbie
Rules
552×unswap-sqr_binary64
494×fma-neg_binary64
332×fma-def_binary64
327×distribute-rgt-in_binary64
325×distribute-lft-in_binary64
Counts
187 → 197
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01982600
13742451
210612447
336252405
449722405
549992405

prune140.0ms (16.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1970197
Fresh000
Picked011
Done011
Total1972199
Error
0b
Counts
199 → 2
Alt Table
StatusErrorProgram
✓0.0b
(-.f64 x 1/3)
✓20.4b
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
Compiler

Compiled 4306 to 3406 computations (20.9% saved)

regimes25.0ms (2.9%)

Accuracy

Total 0.0b remaining (80%)

Threshold costs 0.0b (80%)

Counts
9 → 1
Compiler

Compiled 166 to 133 computations (19.9% saved)

simplify2.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
174
284
374

end0.0ms (0%)

Compiler

Compiled 4 to 3 computations (25% saved)

sample367.0ms (42.7%)

Algorithm
1×intervals
Results
171.0ms8000×body128valid
Compiler

Compiled 29 to 23 computations (20.7% saved)

Profiling

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