Details

Time bar (total: 3.8s)

analyze6.0ms (0.2%)

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
62.5%6.2%31.3%6
65.6%3.1%31.3%7
65.6%1.6%32.8%8
66.4%0.8%32.8%9
66.4%0.4%33.2%10
66.6%0.2%33.2%11
66.6%0.1%33.3%12
66.6%0%33.4%13
66.6%0%33.4%14
Compiler

Compiled 10 to 8 computations (20% saved)

sample19.0ms (0.5%)

Algorithm
intervals
Results
11.0ms256×body128valid
Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify447.0ms (11.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (276.0ms)

IterNodesCost
0467913
1467913

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1
Compiler

Compiled 18 to 14 computations (22.2% saved)

localize11.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.2b
(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))

rewrite20.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
pow1_binary64_22986 add-cbrt-cube_binary64_22961 add-exp-log_binary64_22963
add-sqr-sqrt_binary64_22947 prod-exp_binary64_22974 associate-*r*_binary64_22865 pow-prod-down_binary64_22996 cbrt-unprod_binary64_22958
sub-neg_binary64_22918 add-cube-cbrt_binary64_22960 associate-*r/_binary64_22867 cancel-sign-sub-inv_binary64_22891 distribute-lft-in_binary64_22874 distribute-rgt-in_binary64_22875 *-un-lft-identity_binary64_22925
flip--_binary64_22900 *-commutative_binary64_22856 add-log-exp_binary64_22964 unswap-sqr_binary64_22893 flip3--_binary64_22929 associate-*l*_binary64_22866
Counts
1 → 25
Calls

1 calls:

16.0ms
(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))

series97.0ms (2.5%)

Counts
1 → 3
Calls

1 calls:

97.0ms
(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))

simplify97.0ms (2.5%)

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
05105417

prune60.0ms (1.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New22628
Fresh000
Picked101
Done000
Total23629

Merged error: 0b

Counts
29 → 6
Compiler

Compiled 479 to 332 computations (30.7% saved)

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 (pow.f64 x 3) -2)
0.0b
(+.f64 (*.f64 (*.f64 x x) 3) (*.f64 (pow.f64 x 3) -2))
0.2b
(*.f64 (*.f64 x x) 3)

rewrite41.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64_22947
13×add-exp-log_binary64_22963 associate-*l*_binary64_22866
10×add-cbrt-cube_binary64_22961
pow1_binary64_22986 add-cube-cbrt_binary64_22960 *-un-lft-identity_binary64_22925
prod-exp_binary64_22974 associate-*r*_binary64_22865
add-log-exp_binary64_22964 unswap-sqr_binary64_22893
unpow-prod-down_binary64_23004 cube-prod_binary64_22953 cbrt-unprod_binary64_22958
pow-prod-down_binary64_22996
sqr-pow_binary64_22897 *-commutative_binary64_22856
pow-to-exp_binary64_22994 cube-mult_binary64_22955 unpow3_binary64_22991 +-commutative_binary64_22855 flip3-+_binary64_22928 pow-exp_binary64_22993 flip-+_binary64_22899 sum-log_binary64_23016
Counts
3 → 61
Calls

3 calls:

12.0ms
(*.f64 (pow.f64 x 3) -2)
11.0ms
(+.f64 (*.f64 (*.f64 x x) 3) (*.f64 (pow.f64 x 3) -2))
10.0ms
(*.f64 (*.f64 x x) 3)

series173.0ms (4.5%)

Counts
3 → 9
Calls

3 calls:

101.0ms
(+.f64 (*.f64 (*.f64 x x) 3) (*.f64 (pow.f64 x 3) -2))
39.0ms
(*.f64 (pow.f64 x 3) -2)
32.0ms
(*.f64 (*.f64 x x) 3)

simplify133.0ms (3.5%)

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (106.0ms)

IterNodesCost
04922736
14922736

prune119.0ms (3.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New68270
Fresh235
Picked011
Done000
Total70676

Merged error: 0b

Counts
76 → 6
Compiler

Compiled 1112 to 776 computations (30.2% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (-.f64 3 (*.f64 x 2)))
0.2b
(*.f64 x (*.f64 x (-.f64 3 (*.f64 x 2))))

rewrite33.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
10×distribute-lft-in_binary64_22874 distribute-rgt-in_binary64_22875
pow1_binary64_22986 add-cbrt-cube_binary64_22961 add-exp-log_binary64_22963
add-sqr-sqrt_binary64_22947
sub-neg_binary64_22918 associate-*r/_binary64_22867 cancel-sign-sub-inv_binary64_22891 associate-*l*_binary64_22866
add-cube-cbrt_binary64_22960 *-un-lft-identity_binary64_22925
prod-exp_binary64_22974 associate-*r*_binary64_22865 pow-prod-down_binary64_22996 cbrt-unprod_binary64_22958
flip--_binary64_22900 *-commutative_binary64_22856 add-log-exp_binary64_22964 flip3--_binary64_22929
unswap-sqr_binary64_22893
Counts
2 → 52
Calls

2 calls:

14.0ms
(*.f64 x (*.f64 x (-.f64 3 (*.f64 x 2))))
11.0ms
(*.f64 x (-.f64 3 (*.f64 x 2)))

series161.0ms (4.2%)

Counts
2 → 6
Calls

2 calls:

87.0ms
(*.f64 x (*.f64 x (-.f64 3 (*.f64 x 2))))
73.0ms
(*.f64 x (-.f64 3 (*.f64 x 2)))

simplify90.0ms (2.3%)

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
05104771

prune89.0ms (2.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New57158
Fresh134
Picked101
Done011
Total59564

Merged error: 0b

Counts
64 → 5
Compiler

Compiled 847 to 610 computations (28% saved)

localize19.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3))) (*.f64 (pow.f64 x 3) -2))
0.3b
(*.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))
0.4b
(*.f64 x (sqrt.f64 3))
0.4b
(*.f64 x (sqrt.f64 3))

rewrite61.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
47×pow1_binary64_22986
20×add-cbrt-cube_binary64_22961 add-exp-log_binary64_22963
19×pow-prod-down_binary64_22996
18×add-sqr-sqrt_binary64_22947
13×associate-*r*_binary64_22865
10×prod-exp_binary64_22974 add-cube-cbrt_binary64_22960 *-un-lft-identity_binary64_22925 cbrt-unprod_binary64_22958
sqrt-prod_binary64_22941
associate-*l*_binary64_22866
add-log-exp_binary64_22964
pow-prod-up_binary64_22995 unswap-sqr_binary64_22893 pow-sqr_binary64_22898
*-commutative_binary64_22856
pow-plus_binary64_22988
pow2_binary64_23006 swap-sqr_binary64_22892 +-commutative_binary64_22855 flip3-+_binary64_22928 flip-+_binary64_22899 sum-log_binary64_23016
Counts
4 → 89
Calls

4 calls:

16.0ms
(+.f64 (*.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3))) (*.f64 (pow.f64 x 3) -2))
15.0ms
(*.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))
9.0ms
(*.f64 x (sqrt.f64 3))
9.0ms
(*.f64 x (sqrt.f64 3))

series343.0ms (9%)

Counts
4 → 12
Calls

4 calls:

177.0ms
(+.f64 (*.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3))) (*.f64 (pow.f64 x 3) -2))
80.0ms
(*.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))
44.0ms
(*.f64 x (sqrt.f64 3))
42.0ms
(*.f64 x (sqrt.f64 3))

simplify136.0ms (3.5%)

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (105.0ms)

IterNodesCost
05057886

prune186.0ms (4.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1010101
Fresh033
Picked011
Done011
Total1015106

Merged error: 0b

Counts
106 → 5
Compiler

Compiled 1648 to 1295 computations (21.4% saved)

regimes157.0ms (4.1%)

Compiler

Compiled 783 to 621 computations (20.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01216
11216

end0.0ms (0%)

sample1.3s (33.8%)

Algorithm
intervals
Results
368.0ms8000×body128valid
Compiler

Compiled 360 to 289 computations (19.7% saved)

Profiling

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