Details

Time bar (total: 1.4s)

analyze59.0ms (4.3%)

Algorithm
1×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
1×intervals
Results
6.0ms256×body80valid
0.0ms2×body80invalid

simplify11.0ms (0.8%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (9.0ms)

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

localize5.0ms (0.3%)

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
1×rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×sub-neg associate-*r* associate-*l*
2×flip3-- associate-*r/ flip--
1×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))

series11.0ms (0.8%)

Counts
2 → 6
Calls

2 calls:

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

simplify48.0ms (3.5%)

Algorithm
1×egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04942331
14942331

prune73.0ms (5.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New33639
Fresh000
Picked101
Done000
Total34640

Merged error: 0.0b

Counts
40 → 6

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (neg (* x y))))
0.1b
(* x (neg (* x y)))

rewrite9.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
6×add-sqr-sqrt associate-*r*
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-neg-out
1×+-commutative distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 35
Calls

2 calls:

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

series11.0ms (0.8%)

Counts
2 → 6
Calls

2 calls:

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

simplify48.0ms (3.5%)

Algorithm
1×egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04929321
14929321

prune63.0ms (4.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New39241
Fresh235
Picked011
Done000
Total41647

Merged error: 0.0b

Counts
47 → 6

localize9.0ms (0.7%)

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))))

rewrite20.0ms (1.5%)

Algorithm
1×rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×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)))

series169.0ms (12.3%)

Counts
4 → 12
Calls

4 calls:

49.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
42.0ms
(cbrt (- 1.0 (* x y)))
39.0ms
(cbrt (- 1.0 (* x y)))
39.0ms
(cbrt (- 1.0 (* x y)))

simplify42.0ms (3%)

Algorithm
1×egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
049901370
149901370

prune247.0ms (17.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh044
Picked011
Done011
Total996105

Merged error: 0.0b

Counts
105 → 6

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x (neg x)) y))
9.7b
(* (* x (neg x)) y)

rewrite10.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
2×distribute-lft-neg-out distribute-rgt-neg-out
1×+-commutative flip3-+ associate-*l* unsub-neg sum-log *-commutative flip-+
Counts
2 → 31
Calls

2 calls:

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

series10.0ms (0.8%)

Counts
2 → 6
Calls

2 calls:

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

simplify47.0ms (3.4%)

Algorithm
1×egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05172297

prune46.0ms (3.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New36137
Fresh123
Picked011
Done022
Total37643

Merged error: 0.0b

Counts
43 → 6

regimes90.0ms (6.6%)

Accuracy

Total 0.1b remaining (73.3%)

Threshold costs 0.1b (73.3%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0469
1469

end0.0ms (0%)

sample306.0ms (22.3%)

Algorithm
1×intervals
Results
180.0ms8000×body80valid
2.0ms91×body80invalid

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