Details

Time bar (total: 1.0s)

analyze3.0ms (0.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
62.5%12.5%25%5
68.7%6.2%25%6
71.8%3.1%25%7
73.4%1.6%25%8
74.2%0.8%25%9
74.6%0.4%25%10
74.8%0.2%25%11
74.9%0.1%25%12
74.9%0%25%13
74.9%0%25%14
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample9.0ms (0.8%)

Algorithm
intervals
Results
4.0ms256×body128valid
Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify98.0ms (9.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
01057
11057

prune2.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 x (-.f64 x 1))

rewrite10.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt_binary64_8966
*-un-lft-identity_binary64_8944
associate-*r*_binary64_8884
cancel-sign-sub-inv_binary64_8910
add-cube-cbrt_binary64_8979
distribute-rgt-in_binary64_8894 distribute-lft-in_binary64_8893
associate-*l*_binary64_8885 pow1_binary64_9005 add-cbrt-cube_binary64_8980 add-exp-log_binary64_8982
associate-*r/_binary64_8886 sub-neg_binary64_8937 difference-of-squares_binary64_8913
flip3--_binary64_8948 flip--_binary64_8919 prod-exp_binary64_8993 distribute-lft-out--_binary64_8896 *-commutative_binary64_8875 difference-of-sqr-1_binary64_8914 unswap-sqr_binary64_8912 pow-prod-down_binary64_9015 add-log-exp_binary64_8983 cbrt-unprod_binary64_8977
Counts
1 → 32
Calls

1 calls:

8.0ms
(*.f64 x (-.f64 x 1))

series26.0ms (2.5%)

Counts
1 → 3
Calls

1 calls:

25.0ms
(*.f64 x (-.f64 x 1))

simplify71.0ms (6.9%)

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
05004288

prune21.0ms (2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New33235
Fresh000
Picked011
Done000
Total33336

Merged error: 0b

Counts
36 → 3
Compiler

Compiled 312 to 180 computations (42.3% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_8983
distribute-rgt-out_binary64_8897 *-un-lft-identity_binary64_8944 sum-log_binary64_9035
flip3-+_binary64_8947 unsub-neg_binary64_8938 +-commutative_binary64_8874 add-cube-cbrt_binary64_8979 pow1_binary64_9005 neg-mul-1_binary64_8940 add-cbrt-cube_binary64_8980 associate-+r-_binary64_8878 neg-log_binary64_9037 distribute-lft-neg-in_binary64_8901 flip-+_binary64_8918 neg-sub0_binary64_8939 add-exp-log_binary64_8982 add-sqr-sqrt_binary64_8966
Counts
1 → 16
Calls

1 calls:

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

series29.0ms (2.8%)

Counts
1 → 3
Calls

1 calls:

28.0ms
(+.f64 (*.f64 x x) (neg.f64 x))

simplify63.0ms (6%)

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
05349169

prune11.0ms (1.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New19019
Fresh011
Picked011
Done011
Total19322

Merged error: 0b

Counts
22 → 3
Compiler

Compiled 168 to 64 computations (61.9% saved)

localize7.0ms (0.7%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (pow.f64 x 3/2))
0.1b
(*.f64 (+.f64 x (pow.f64 x 3/2)) (-.f64 (sqrt.f64 x) 1))

rewrite23.0ms (2.2%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64_8966
15×*-un-lft-identity_binary64_8944
11×associate-*r*_binary64_8884
add-cube-cbrt_binary64_8979 cancel-sign-sub-inv_binary64_8910
flip3-+_binary64_8947 associate-*l*_binary64_8885 pow1_binary64_9005 distribute-rgt-in_binary64_8894 frac-times_binary64_8954 add-cbrt-cube_binary64_8980 difference-of-squares_binary64_8913 flip-+_binary64_8918 sqrt-prod_binary64_8960 add-log-exp_binary64_8983 add-exp-log_binary64_8982 distribute-lft-in_binary64_8893
flip3--_binary64_8948 flip--_binary64_8919
associate-*r/_binary64_8886 distribute-lft-out--_binary64_8896 associate-*l/_binary64_8887 distribute-lft-out_binary64_8895 difference-of-sqr-1_binary64_8914 sub-neg_binary64_8937
+-commutative_binary64_8874 prod-exp_binary64_8993 *-commutative_binary64_8875 sum-log_binary64_9035 unswap-sqr_binary64_8912 pow-prod-down_binary64_9015 cbrt-unprod_binary64_8977
Counts
2 → 55
Calls

2 calls:

14.0ms
(*.f64 (+.f64 x (pow.f64 x 3/2)) (-.f64 (sqrt.f64 x) 1))
5.0ms
(+.f64 x (pow.f64 x 3/2))

series149.0ms (14.4%)

Counts
2 → 6
Calls

2 calls:

99.0ms
(+.f64 x (pow.f64 x 3/2))
50.0ms
(*.f64 (+.f64 x (pow.f64 x 3/2)) (-.f64 (sqrt.f64 x) 1))

simplify92.0ms (8.8%)

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
049361136
149361136

prune53.0ms (5.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New61061
Fresh000
Picked011
Done022
Total61364

Merged error: 0b

Counts
64 → 3
Compiler

Compiled 1044 to 665 computations (36.3% saved)

regimes24.0ms (2.3%)

Compiler

Compiled 78 to 60 computations (23.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0167
1167

end0.0ms (0%)

sample332.0ms (32%)

Algorithm
intervals
Results
137.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 49 to 38 computations (22.4% saved)

Profiling

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