Details

Time bar (total: 1.1s)

analyze2.0ms (0.2%)

Algorithm
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 6 to 6 computations (0% saved)

sample9.0ms (0.8%)

Algorithm
intervals
Results
4.0ms256×body128valid
Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify171.0ms (15.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
084
184

prune4.0ms (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 14 computations (0% saved)

localize2.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(+.f64 x 1/3)

rewrite4.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64_9023 add-log-exp_binary64_9062
distribute-lft-out_binary64_8974 add-cbrt-cube_binary64_9059 add-cube-cbrt_binary64_9058 add-exp-log_binary64_9061 add-sqr-sqrt_binary64_9045 flip-+_binary64_8997 flip3-+_binary64_9026 +-commutative_binary64_8953 sum-log_binary64_9114 pow1_binary64_9084
Counts
1 → 12
Calls

1 calls:

3.0ms
(+.f64 x 1/3)

series23.0ms (2%)

Counts
1 → 3
Calls

1 calls:

23.0ms
(+.f64 x 1/3)

simplify89.0ms (7.9%)

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (83.0ms)

IterNodesCost
04937101
14937101

prune14.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New14115
Fresh000
Picked011
Done000
Total14216

Merged error: 0b

Counts
16 → 2
Compiler

Compiled 143 to 116 computations (18.9% saved)

localize9.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 x 1/3)
0.0b
(+.f64 1/9 (*.f64 x (-.f64 x 1/3)))
0.1b
(*.f64 x (-.f64 x 1/3))
22.3b
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))

rewrite41.0ms (3.6%)

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity_binary64_9023
26×add-sqr-sqrt_binary64_9045
20×add-cube-cbrt_binary64_9058
15×cancel-sign-sub-inv_binary64_8989
12×times-frac_binary64_9029
distribute-lft-in_binary64_8972 add-cbrt-cube_binary64_9059 distribute-rgt-in_binary64_8973 add-exp-log_binary64_9061 add-log-exp_binary64_9062 associate-+r+_binary64_8955
pow1_binary64_9084
associate-*r*_binary64_8963 sub-neg_binary64_9016
associate-/l*_binary64_8968 distribute-lft-out_binary64_8974
associate-*l*_binary64_8964 associate-/r*_binary64_8967 flip-+_binary64_8997 flip3-+_binary64_9026
associate-/r/_binary64_8969 difference-of-squares_binary64_8992 flip--_binary64_8998 distribute-lft-out--_binary64_8975 associate-*r/_binary64_8965 associate-/l/_binary64_8970 flip3--_binary64_9027
frac-2neg_binary64_9034 prod-exp_binary64_9072 div-inv_binary64_9020 *-commutative_binary64_8954 unswap-sqr_binary64_8991 +-commutative_binary64_8953 clear-num_binary64_9022 diff-log_binary64_9115 sum-log_binary64_9114 pow-prod-down_binary64_9094 cbrt-unprod_binary64_9056 cbrt-undiv_binary64_9057 div-exp_binary64_9074
Counts
4 → 100
Calls

4 calls:

15.0ms
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))
8.0ms
(*.f64 x (-.f64 x 1/3))
5.0ms
(+.f64 1/9 (*.f64 x (-.f64 x 1/3)))
4.0ms
(-.f64 x 1/3)

series266.0ms (23.6%)

Counts
4 → 12
Calls

4 calls:

163.0ms
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))
55.0ms
(*.f64 x (-.f64 x 1/3))
28.0ms
(-.f64 x 1/3)
20.0ms
(+.f64 1/9 (*.f64 x (-.f64 x 1/3)))

simplify74.0ms (6.5%)

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
054561706

prune118.0ms (10.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1120112
Fresh000
Picked011
Done011
Total1122114

Merged error: 0b

Counts
114 → 2
Compiler

Compiled 2119 to 1640 computations (22.6% saved)

regimes8.0ms (0.7%)

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
054
154

end0.0ms (0%)

sample290.0ms (25.8%)

Algorithm
intervals
Results
137.0ms8000×body128valid
Compiler

Compiled 25 to 24 computations (4% saved)

Profiling

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