Details

Time bar (total: 1.4s)

analyze3.0ms (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)

sample9.0ms (0.7%)

Algorithm
intervals
Results
5.0ms256×body80valid
Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify174.0ms (12%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (165.0ms)

IterNodesCost
0472113
1472113

prune7.0ms (0.5%)

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)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite8.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 associate-*r*_binary64 prod-exp_binary64 add-sqr-sqrt_binary64
*-un-lft-identity_binary64 sub-neg_binary64 associate-*r/_binary64 add-cube-cbrt_binary64
add-log-exp_binary64 flip3--_binary64 distribute-lft-in_binary64 associate-*l*_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 flip--_binary64 *-commutative_binary64
Counts
1 → 23
Calls

1 calls:

8.0ms
(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))

series7.0ms (0.5%)

Counts
1 → 3
Calls

1 calls:

7.0ms
(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))

simplify71.0ms (5%)

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
05171389

prune29.0ms (2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New22426
Fresh000
Picked101
Done000
Total23427

Merged error: 0.0b

Counts
27 → 4
Compiler

Compiled 423 to 290 computations (31.4% saved)

localize6.0ms (0.4%)

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)

rewrite20.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64
13×add-exp-log_binary64 associate-*l*_binary64
10×add-cbrt-cube_binary64
*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64
associate-*r*_binary64 prod-exp_binary64
add-log-exp_binary64 unswap-sqr_binary64
cbrt-unprod_binary64 unpow-prod-down_binary64 cube-prod_binary64
pow-prod-down_binary64
sqr-pow_binary64 *-commutative_binary64
pow-to-exp_binary64 flip3-+_binary64 +-commutative_binary64 flip-+_binary64 pow-exp_binary64 unpow3_binary64 sum-log_binary64 cube-mult_binary64
Counts
3 → 61
Calls

3 calls:

6.0ms
(+.f64 (*.f64 (*.f64 x x) 3) (*.f64 (pow.f64 x 3) -2))
6.0ms
(*.f64 (*.f64 x x) 3)
6.0ms
(*.f64 (pow.f64 x 3) -2)

series18.0ms (1.3%)

Counts
3 → 9
Calls

3 calls:

10.0ms
(+.f64 (*.f64 (*.f64 x x) 3) (*.f64 (pow.f64 x 3) -2))
4.0ms
(*.f64 (pow.f64 x 3) -2)
4.0ms
(*.f64 (*.f64 x x) 3)

simplify113.0ms (7.8%)

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (97.0ms)

IterNodesCost
04903736
14903736

prune46.0ms (3.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New70070
Fresh033
Picked011
Done000
Total70474

Merged error: 0.0b

Counts
74 → 4
Compiler

Compiled 1082 to 752 computations (30.5% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (-.f64 3 (*.f64 x 2)))
0.1b
(*.f64 x (*.f64 x (-.f64 3 (*.f64 x 2))))

rewrite17.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
add-sqr-sqrt_binary64
sub-neg_binary64 associate-*r/_binary64 associate-*l*_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 associate-*r*_binary64 prod-exp_binary64
add-log-exp_binary64 flip3--_binary64 flip--_binary64 *-commutative_binary64
unswap-sqr_binary64
Counts
2 → 46
Calls

2 calls:

9.0ms
(*.f64 x (*.f64 x (-.f64 3 (*.f64 x 2))))
6.0ms
(*.f64 x (-.f64 3 (*.f64 x 2)))

series14.0ms (1%)

Counts
2 → 6
Calls

2 calls:

7.0ms
(*.f64 x (*.f64 x (-.f64 3 (*.f64 x 2))))
6.0ms
(*.f64 x (-.f64 3 (*.f64 x 2)))

simplify105.0ms (7.3%)

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (90.0ms)

IterNodesCost
04932693
14932693

prune33.0ms (2.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New51152
Fresh022
Picked011
Done011
Total51556

Merged error: 0.0b

Counts
56 → 5
Compiler

Compiled 765 to 548 computations (28.4% saved)

localize9.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite12.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
15×*-un-lft-identity_binary64 add-cube-cbrt_binary64
11×pow1_binary64
pow1/3_binary64
swap-sqr_binary64 associate-*r*_binary64 add-exp-log_binary64 associate-*l*_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
cbrt-unprod_binary64 pow-plus_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series65.0ms (4.5%)

Counts
4 → 12
Calls

4 calls:

19.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
17.0ms
(cbrt.f64 x)
15.0ms
(cbrt.f64 x)
14.0ms
(cbrt.f64 x)

simplify79.0ms (5.5%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04942588
14942588

prune47.0ms (3.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh022
Picked011
Done022
Total85590

Merged error: 0.0b

Counts
90 → 5
Compiler

Compiled 1599 to 832 computations (48% saved)

regimes22.0ms (1.5%)

Compiler

Compiled 84 to 65 computations (22.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01216
11216

end0.0ms (0%)

sample513.0ms (35.6%)

Algorithm
intervals
Results
180.0ms8000×body80valid
0.0msbody80invalid
Compiler

Compiled 112 to 88 computations (21.4% saved)

Profiling

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