Details

Time bar (total: 1.6s)

analyze57.0ms (3.6%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
37.5%50%12.6%6
50%37.5%12.6%7
56.2%25%18.8%8
62.4%18.7%18.8%9
65.6%12.5%22%10
68.7%9.4%22%11
70.2%6.2%23.5%12
71.8%4.7%23.5%13
72.6%3.1%24.3%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample12.0ms (0.7%)

Algorithm
intervals
Results
6.0ms256×body80valid
0.0msbody80invalid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify28.0ms (1.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (14.0ms)

IterNodesCost
018510
118510

prune3.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 1 (*.f64 x y))
0.1b
(*.f64 x (-.f64 1 (*.f64 x y)))

rewrite11.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64
*-un-lft-identity_binary64 add-log-exp_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
sub-neg_binary64 associate-*r*_binary64 associate-*l*_binary64
flip3--_binary64 associate-*r/_binary64 flip--_binary64
pow-prod-down_binary64 diff-log_binary64 cbrt-unprod_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64
Counts
2 → 33
Calls

2 calls:

7.0ms
(*.f64 x (-.f64 1 (*.f64 x y)))
3.0ms
(-.f64 1 (*.f64 x y))

series11.0ms (0.7%)

Counts
2 → 6
Calls

2 calls:

7.0ms
(*.f64 x (-.f64 1 (*.f64 x y)))
4.0ms
(-.f64 1 (*.f64 x y))

simplify64.0ms (4%)

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05121465

prune38.0ms (2.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New32739
Fresh000
Picked101
Done000
Total33740

Merged error: 0.0b

Counts
40 → 7
Compiler

Compiled 585 to 320 computations (45.3% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 x (neg.f64 (*.f64 x y))))
0.2b
(*.f64 x (neg.f64 (*.f64 x y)))

rewrite10.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
associate-*r*_binary64 add-sqr-sqrt_binary64
*-un-lft-identity_binary64 add-log-exp_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-*l*_binary64
distribute-rgt-neg-out_binary64
pow-prod-down_binary64 flip3-+_binary64 cbrt-unprod_binary64 neg-mul-1_binary64 distribute-lft-neg-in_binary64 unswap-sqr_binary64 distribute-rgt-neg-in_binary64 prod-exp_binary64 +-commutative_binary64 flip-+_binary64 unsub-neg_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 34
Calls

2 calls:

5.0ms
(*.f64 x (neg.f64 (*.f64 x y)))
3.0ms
(+.f64 x (*.f64 x (neg.f64 (*.f64 x y))))

series11.0ms (0.7%)

Counts
2 → 6
Calls

2 calls:

6.0ms
(+.f64 x (*.f64 x (neg.f64 (*.f64 x y))))
5.0ms
(*.f64 x (neg.f64 (*.f64 x y)))

simplify101.0ms (6.3%)

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (87.0ms)

IterNodesCost
05074463

prune32.0ms (2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New38240
Fresh246
Picked011
Done000
Total40747

Merged error: 0.0b

Counts
47 → 7
Compiler

Compiled 566 to 185 computations (67.3% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 (*.f64 x (neg.f64 x)) y))
9.9b
(*.f64 (*.f64 x (neg.f64 x)) y)

rewrite11.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64
pow-prod-down_binary64 *-un-lft-identity_binary64 cbrt-unprod_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 prod-exp_binary64 add-sqr-sqrt_binary64
distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64
flip3-+_binary64 associate-*l*_binary64 +-commutative_binary64 flip-+_binary64 unsub-neg_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 31
Calls

2 calls:

6.0ms
(*.f64 (*.f64 x (neg.f64 x)) y)
4.0ms
(+.f64 x (*.f64 (*.f64 x (neg.f64 x)) y))

series11.0ms (0.7%)

Counts
2 → 6
Calls

2 calls:

6.0ms
(+.f64 x (*.f64 (*.f64 x (neg.f64 x)) y))
5.0ms
(*.f64 (*.f64 x (neg.f64 x)) y)

simplify74.0ms (4.7%)

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
04945433
14945433

prune24.0ms (1.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New36137
Fresh145
Picked011
Done011
Total37744

Merged error: 0.0b

Counts
44 → 7
Compiler

Compiled 502 to 161 computations (67.9% saved)

localize13.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.3b
(pow.f64 (*.f64 x y) 3)
0.3b
(*.f64 (*.f64 x y) (*.f64 x y))
1.7b
(*.f64 x (-.f64 1 (pow.f64 (*.f64 x y) 3)))
10.8b
(/.f64 (*.f64 x (-.f64 1 (pow.f64 (*.f64 x y) 3))) (+.f64 (*.f64 1 1) (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 1 (*.f64 x y)))))

rewrite45.0ms (2.8%)

Algorithm
rewrite-expression-head
Rules
48×pow1_binary64
26×add-exp-log_binary64 add-cbrt-cube_binary64
19×pow-prod-down_binary64
15×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
11×cbrt-unprod_binary64 prod-exp_binary64
associate-*r*_binary64 add-cube-cbrt_binary64
associate-/r*_binary64 add-log-exp_binary64 pow-prod-up_binary64 associate-*r/_binary64 associate-*l*_binary64 difference-of-squares_binary64 times-frac_binary64 pow-sqr_binary64
pow-unpow_binary64 sqr-pow_binary64
associate-/l/_binary64 sub-neg_binary64 flip3--_binary64 distribute-lft-out_binary64 cbrt-undiv_binary64 pow-pow_binary64 associate-/r/_binary64 pow-plus_binary64 rem-cube-cbrt_binary64 div-exp_binary64 flip--_binary64 pow-exp_binary64 *-commutative_binary64
pow-to-exp_binary64 flip3-+_binary64 swap-sqr_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 clear-num_binary64 unpow-prod-down_binary64 frac-2neg_binary64 cube-prod_binary64 associate-/l*_binary64 distribute-lft-out--_binary64 div-inv_binary64 flip-+_binary64 pow2_binary64 unpow3_binary64 cube-mult_binary64
Counts
4 → 110
Calls

4 calls:

19.0ms
(/.f64 (*.f64 x (-.f64 1 (pow.f64 (*.f64 x y) 3))) (+.f64 (*.f64 1 1) (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 1 (*.f64 x y)))))
11.0ms
(*.f64 x (-.f64 1 (pow.f64 (*.f64 x y) 3)))
7.0ms
(*.f64 (*.f64 x y) (*.f64 x y))
4.0ms
(pow.f64 (*.f64 x y) 3)

series60.0ms (3.8%)

Counts
4 → 12
Calls

4 calls:

30.0ms
(/.f64 (*.f64 x (-.f64 1 (pow.f64 (*.f64 x y) 3))) (+.f64 (*.f64 1 1) (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 1 (*.f64 x y)))))
15.0ms
(*.f64 x (-.f64 1 (pow.f64 (*.f64 x y) 3)))
8.0ms
(pow.f64 (*.f64 x y) 3)
7.0ms
(*.f64 (*.f64 x y) (*.f64 x y))

simplify92.0ms (5.8%)

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
051191787

prune107.0ms (6.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1220122
Fresh044
Picked011
Done022
Total1227129

Merged error: 0.0b

Counts
129 → 7
Compiler

Compiled 3633 to 1946 computations (46.4% saved)

regimes97.0ms (6.1%)

Compiler

Compiled 312 to 224 computations (28.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04410
14410

end0.0ms (0%)

sample662.0ms (41.6%)

Algorithm
intervals
Results
177.0ms8000×body80valid
2.0ms84×body80invalid
Compiler

Compiled 113 to 82 computations (27.4% saved)

Profiling

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