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)

sample8.0ms (0.8%)

Algorithm
intervals
Results
4.0ms256×body128valid
Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify92.0ms (9%)

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 (1%)

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt_binary64_9989
*-un-lft-identity_binary64_9967
associate-*r*_binary64_9907
cancel-sign-sub-inv_binary64_9933
add-cube-cbrt_binary64_10002
distribute-lft-in_binary64_9916 distribute-rgt-in_binary64_9917
add-cbrt-cube_binary64_10003 associate-*l*_binary64_9908 add-exp-log_binary64_10005 pow1_binary64_10028
sub-neg_binary64_9960 difference-of-squares_binary64_9936 associate-*r/_binary64_9909
flip--_binary64_9942 prod-exp_binary64_10016 cbrt-unprod_binary64_10000 flip3--_binary64_9971 pow-prod-down_binary64_10038 add-log-exp_binary64_10006 difference-of-sqr-1_binary64_9937 unswap-sqr_binary64_9935 distribute-lft-out--_binary64_9919 *-commutative_binary64_9898
Counts
1 → 32
Calls

1 calls:

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

series32.0ms (3.1%)

Counts
1 → 3
Calls

1 calls:

32.0ms
(*.f64 x (-.f64 x 1))

simplify66.0ms (6.5%)

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
05004288

prune20.0ms (1.9%)

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 (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite6.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_10006
distribute-rgt-out_binary64_9920 *-un-lft-identity_binary64_9967 sum-log_binary64_10058
add-sqr-sqrt_binary64_9989 add-cbrt-cube_binary64_10003 flip3-+_binary64_9970 unsub-neg_binary64_9961 flip-+_binary64_9941 associate-+r-_binary64_9901 add-cube-cbrt_binary64_10002 add-exp-log_binary64_10005 neg-sub0_binary64_9962 +-commutative_binary64_9897 neg-log_binary64_10060 distribute-lft-neg-in_binary64_9924 pow1_binary64_10028 neg-mul-1_binary64_9963
Counts
1 → 16
Calls

1 calls:

5.0ms
(+.f64 (*.f64 x x) (neg.f64 x))

series27.0ms (2.6%)

Counts
1 → 3
Calls

1 calls:

27.0ms
(+.f64 (*.f64 x x) (neg.f64 x))

simplify61.0ms (5.9%)

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
05349169

prune14.0ms (1.4%)

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)

localize8.0ms (0.8%)

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_9989
15×*-un-lft-identity_binary64_9967
11×associate-*r*_binary64_9907
add-cube-cbrt_binary64_10002 cancel-sign-sub-inv_binary64_9933
frac-times_binary64_9977 add-cbrt-cube_binary64_10003 flip3-+_binary64_9970 associate-*l*_binary64_9908 distribute-lft-in_binary64_9916 difference-of-squares_binary64_9936 flip-+_binary64_9941 add-log-exp_binary64_10006 distribute-rgt-in_binary64_9917 add-exp-log_binary64_10005 pow1_binary64_10028 sqrt-prod_binary64_9983
flip--_binary64_9942 flip3--_binary64_9971
associate-*l/_binary64_9910 distribute-lft-out_binary64_9918 sub-neg_binary64_9960 difference-of-sqr-1_binary64_9937 distribute-lft-out--_binary64_9919 associate-*r/_binary64_9909
prod-exp_binary64_10016 cbrt-unprod_binary64_10000 pow-prod-down_binary64_10038 +-commutative_binary64_9897 sum-log_binary64_10058 unswap-sqr_binary64_9935 *-commutative_binary64_9898
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))

series152.0ms (14.8%)

Counts
2 → 6
Calls

2 calls:

105.0ms
(+.f64 x (pow.f64 x 3/2))
46.0ms
(*.f64 (+.f64 x (pow.f64 x 3/2)) (-.f64 (sqrt.f64 x) 1))

simplify87.0ms (8.4%)

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
049361136
149361136

prune53.0ms (5.2%)

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)

regimes23.0ms (2.2%)

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%)

sample331.0ms (32.3%)

Algorithm
intervals
Results
136.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 49 to 38 computations (22.4% saved)

Profiling

Loading profile data...