Details

Time bar (total: 1.9s)

analyze2.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%25%75%0
25%0%75%1
Compiler

Compiled 13 to 7 computations (46.2% saved)

sample14.0ms (0.7%)

Algorithm
1×intervals
Results
5.0ms256×body128valid
4.0ms256×pre128true
Compiler

Compiled 22 to 12 computations (45.5% saved)

simplify228.0ms (12.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (142.0ms)

IterNodesCost
0476210
1476210

prune7.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (pow.f64 x 3))

rewrite7.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
3×add-log-exp_binary64_2163
2×cube-mult_binary64_2154
1×unpow3_binary64_2190 sum-log_binary64_2215 distribute-lft-out_binary64_2075 pow1_binary64_2185 distribute-rgt1-in_binary64_2080 add-cube-cbrt_binary64_2159 +-commutative_binary64_2054 add-sqr-sqrt_binary64_2146 distribute-rgt-out_binary64_2077 flip3-+_binary64_2127 flip-+_binary64_2098 add-exp-log_binary64_2162 *-un-lft-identity_binary64_2124 add-cbrt-cube_binary64_2160
Counts
1 → 14
Calls

1 calls:

6.0ms
(+.f64 (*.f64 x x) (pow.f64 x 3))

series43.0ms (2.3%)

Counts
1 → 3
Calls

1 calls:

43.0ms
(+.f64 (*.f64 x x) (pow.f64 x 3))

simplify93.0ms (5%)

Algorithm
1×egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
04919205
14919205

prune16.0ms (0.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New15217
Fresh000
Picked101
Done000
Total16218

Merged error: 0b

Counts
18 → 2
Compiler

Compiled 207 to 114 computations (44.9% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 x (+.f64 x (*.f64 x x)))

rewrite9.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
5×add-sqr-sqrt_binary64_2146 associate-*r*_binary64_2064
4×*-un-lft-identity_binary64_2124
3×pow1_binary64_2185 add-cube-cbrt_binary64_2159 associate-*l*_binary64_2065 add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
2×associate-*r/_binary64_2066
1×pow-prod-down_binary64_2195 unswap-sqr_binary64_2092 *-commutative_binary64_2055 distribute-rgt1-in_binary64_2080 add-log-exp_binary64_2163 prod-exp_binary64_2173 distribute-rgt-out_binary64_2077 distribute-rgt-in_binary64_2074 flip3-+_binary64_2127 flip-+_binary64_2098 distribute-lft-in_binary64_2073 cbrt-unprod_binary64_2157
Counts
1 → 24
Calls

1 calls:

8.0ms
(*.f64 x (+.f64 x (*.f64 x x)))

series43.0ms (2.3%)

Counts
1 → 3
Calls

1 calls:

43.0ms
(*.f64 x (+.f64 x (*.f64 x x)))

simplify88.0ms (4.8%)

Algorithm
1×egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
04925307
14925307

prune15.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New27027
Fresh011
Picked011
Done000
Total27229

Merged error: 0b

Counts
29 → 2
Compiler

Compiled 326 to 89 computations (72.7% saved)

localize10.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (pow.f64 x 6) (pow.f64 x 9))
0.0b
(+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 6) (pow.f64 x 5)))
0.0b
(-.f64 (pow.f64 x 6) (pow.f64 x 5))
50.9b
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 9)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 6) (pow.f64 x 5))))

rewrite64.0ms (3.4%)

Algorithm
1×rewrite-expression-head
Rules
65×*-un-lft-identity_binary64_2124
31×add-sqr-sqrt_binary64_2146
20×times-frac_binary64_2130
19×distribute-lft-out_binary64_2075 add-cube-cbrt_binary64_2159
14×cancel-sign-sub-inv_binary64_2090
13×add-log-exp_binary64_2163
12×unpow-prod-down_binary64_2203
9×difference-of-squares_binary64_2093
8×associate-+r+_binary64_2056 sqr-pow_binary64_2096
7×distribute-lft-out--_binary64_2076
6×add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
5×associate-/r*_binary64_2068
4×associate-/l*_binary64_2069 pow1_binary64_2185 flip3-+_binary64_2127 flip-+_binary64_2098
3×sum-log_binary64_2215
2×associate-/r/_binary64_2070 diff-log_binary64_2216 +-commutative_binary64_2054 sub-neg_binary64_2117 associate-/l/_binary64_2071
1×flip--_binary64_2099 clear-num_binary64_2123 flip3--_binary64_2128 cbrt-undiv_binary64_2158 associate-+r-_binary64_2058 div-inv_binary64_2121 div-exp_binary64_2175 frac-2neg_binary64_2135
Counts
4 → 108
Calls

4 calls:

24.0ms
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 9)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 6) (pow.f64 x 5))))
14.0ms
(+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 6) (pow.f64 x 5)))
8.0ms
(-.f64 (pow.f64 x 6) (pow.f64 x 5))
7.0ms
(+.f64 (pow.f64 x 6) (pow.f64 x 9))

series341.0ms (18.4%)

Counts
4 → 12
Calls

4 calls:

165.0ms
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 9)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 6) (pow.f64 x 5))))
92.0ms
(+.f64 (pow.f64 x 6) (pow.f64 x 9))
67.0ms
(-.f64 (pow.f64 x 6) (pow.f64 x 5))
17.0ms
(+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 6) (pow.f64 x 5)))

simplify96.0ms (5.2%)

Algorithm
1×egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
048652959
148652959

prune180.0ms (9.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1200120
Fresh000
Picked011
Done011
Total1202122

Merged error: 0b

Counts
122 → 2
Compiler

Compiled 3239 to 2441 computations (24.6% saved)

regimes32.0ms (1.7%)

Compiler

Compiled 230 to 150 computations (34.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
1710

end0.0ms (0%)

sample551.0ms (29.8%)

Algorithm
1×intervals
Results
165.0ms8000×body128valid
113.0ms8000×pre128true
Compiler

Compiled 132 to 87 computations (34.1% saved)

Profiling

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