Details

Time bar (total: 1.4s)

analyze55.0ms (3.8%)

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

sample13.0ms (0.9%)

Algorithm
intervals
Results
5.0ms256×body80valid
0.0msbody80invalid

simplify10.0ms (0.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (8.0ms)

IterNodesCost
02287
12287

prune5.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize8.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* x y))
0.1b
(* x (- 1.0 (* x y)))

rewrite9.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
sub-neg associate-*r* associate-*l*
flip3-- associate-*r/ flip--
distribute-rgt-in distribute-lft-in diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls

2 calls:

5.0ms
(* x (- 1.0 (* x y)))
3.0ms
(- 1.0 (* x y))

series10.0ms (0.7%)

Counts
2 → 6
Calls

2 calls:

6.0ms
(* x (- 1.0 (* x y)))
4.0ms
(- 1.0 (* x y))

simplify44.0ms (3.1%)

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04942331
14942331

prune76.0ms (5.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New31839
Fresh000
Picked101
Done000
Total32840

Merged error: 0.0b

Counts
40 → 8

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (* x (neg y))))
0.2b
(* x (* x (neg y)))

rewrite10.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
distribute-rgt-neg-out add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
+-commutative flip3-+ associate-*r* unsub-neg sum-log *-commutative flip-+ distribute-lft-out
Counts
2 → 32
Calls

2 calls:

5.0ms
(* x (* x (neg y)))
4.0ms
(+ (* x 1.0) (* x (* x (neg y))))

series13.0ms (0.9%)

Counts
2 → 6
Calls

2 calls:

9.0ms
(+ (* x 1.0) (* x (* x (neg y))))
4.0ms
(* x (* x (neg y)))

simplify57.0ms (4%)

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04867297
14867297

prune62.0ms (4.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New37138
Fresh347
Picked011
Done000
Total40646

Merged error: 0.0b

Counts
46 → 6

localize9.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

rewrite19.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
flip3-- pow1/3 flip--
add-exp-log swap-sqr associate-*r* associate-*l*
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls

4 calls:

9.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
2.0ms
(cbrt (- 1.0 (* x y)))
2.0ms
(cbrt (- 1.0 (* x y)))
2.0ms
(cbrt (- 1.0 (* x y)))

series164.0ms (11.5%)

Counts
4 → 12
Calls

4 calls:

50.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
39.0ms
(cbrt (- 1.0 (* x y)))
38.0ms
(cbrt (- 1.0 (* x y)))
37.0ms
(cbrt (- 1.0 (* x y)))

simplify42.0ms (3%)

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
049901370
149901370

prune239.0ms (16.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New98199
Fresh044
Picked011
Done011
Total987105

Merged error: 0.0b

Counts
105 → 7

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x x) (neg y)))
10.6b
(* (* x x) (neg y))

rewrite14.0ms (1%)

Algorithm
rewrite-expression-head
Rules
10×associate-*r*
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
add-log-exp
distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp cbrt-unprod
distribute-rgt-neg-out
+-commutative neg-mul-1 flip3-+ associate-*l* unsub-neg sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 39
Calls

2 calls:

7.0ms
(* (* x x) (neg y))
6.0ms
(+ (* x 1.0) (* (* x x) (neg y)))

series10.0ms (0.7%)

Counts
2 → 6
Calls

2 calls:

6.0ms
(+ (* x 1.0) (* (* x x) (neg y)))
4.0ms
(* (* x x) (neg y))

simplify44.0ms (3.1%)

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04965348
14965348

prune56.0ms (3.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New44145
Fresh134
Picked011
Done022
Total45752

Merged error: 0.0b

Counts
52 → 7

regimes145.0ms (10.2%)

Accuracy

Total 0.1b remaining (78.9%)

Threshold costs 0.1b (78.9%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0469
1469

end0.0ms (0%)

sample303.0ms (21.2%)

Algorithm
intervals
Results
178.0ms8000×body80valid
2.0ms88×body80invalid

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