Details

Time bar (total: 4.0s)

analyze536.0ms (13.3%)

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
6.2%93.7%0.1%5
6.2%90.5%3.2%6
21.9%67.1%11%7
23.4%64.8%11.8%8
32%52.7%15.3%9
33.2%51.3%15.5%10
37.7%45.2%17.2%11
38.3%44.4%17.2%12
40.6%41.3%18%13
41%41%18%14

sample44.0ms (1.1%)

Algorithm
1×intervals
Results
9.0ms181×body80valid
6.0ms27×body1280valid
5.0ms28×body1280nan
4.0ms22×body640valid
3.0ms21×body640nan
3.0ms5×body160valid
3.0ms21×body320valid
2.0ms17×body320nan
1.0ms14×body160nan
0.0ms10×body80nan

simplify135.0ms (3.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (133.0ms)

IterNodesCost
0503912

prune6.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 18.6b

Counts
2 → 1

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/ (- x y) (- 1.0 y))
1.9b
(- 1.0 (/ (- x y) (- 1.0 y)))
3.3b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite38.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
27×times-frac
16×add-cube-cbrt difference-of-squares
14×distribute-lft-out--
6×add-exp-log log-prod
5×associate-/r* add-cbrt-cube associate-/l* add-log-exp
4×pow1 flip3-- flip--
2×log-div div-sub associate-/r/ associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp rem-log-exp clear-num log-pow div-inv associate--r-
Counts
3 → 84
Calls

3 calls:

13.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
13.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
8.0ms
(/ (- x y) (- 1.0 y))

series31.0ms (0.8%)

Counts
3 → 9
Calls

3 calls:

15.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
9.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
6.0ms
(/ (- x y) (- 1.0 y))

simplify52.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
058171253

prune193.0ms (4.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New88593
Fresh000
Picked101
Done000
Total89594

Merged error: 0.1b

Counts
94 → 5

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 y))
0.1b
(* (- x y) (/ 1 (- 1.0 y)))
3.3b
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
5.3b
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

rewrite29.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
48×add-sqr-sqrt
42×*-un-lft-identity
32×times-frac
25×add-cube-cbrt
21×associate-*r*
18×add-exp-log
11×add-cbrt-cube
8×pow1 distribute-lft-out-- difference-of-squares
6×flip3-- flip-- add-log-exp
5×associate-*l* associate-/r*
4×div-exp prod-exp associate-/r/
3×log-prod associate-/l* unswap-sqr
2×cbrt-undiv frac-times log-div rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ rem-log-exp pow-prod-down clear-num log-pow un-div-inv *-commutative inv-pow
Counts
4 → 116
Calls

4 calls:

13.0ms
(* (- x y) (/ 1 (- 1.0 y)))
6.0ms
(/ 1 (- 1.0 y))
4.0ms
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
3.0ms
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

series31.0ms (0.8%)

Counts
4 → 12
Calls

4 calls:

13.0ms
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
10.0ms
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
6.0ms
(* (- x y) (/ 1 (- 1.0 y)))
2.0ms
(/ 1 (- 1.0 y))

simplify45.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
050501322

prune225.0ms (5.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1280128
Fresh044
Picked011
Done000
Total1285133

Merged error: 0.1b

Counts
133 → 5

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.9b
(- 1.0 (/ (- x y) (- 1.0 y)))
3.3b
(log (- 1.0 (/ (- x y) (- 1.0 y))))
3.3b
(log (- 1.0 (/ (- x y) (- 1.0 y))))
3.3b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite55.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
27×add-sqr-sqrt
18×log-prod
15×*-un-lft-identity
8×difference-of-squares
7×pow1 add-exp-log add-cube-cbrt
6×log-div add-log-exp
4×flip3-- times-frac add-cbrt-cube flip-- distribute-lft-out--
3×rem-log-exp log-pow
1×sub-neg diff-log div-sub associate--r-
Counts
4 → 66
Calls

4 calls:

14.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
14.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
13.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
13.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))

series49.0ms (1.2%)

Counts
4 → 12
Calls

4 calls:

15.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
12.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
12.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
9.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))

simplify46.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
050681222

prune270.0ms (6.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New76278
Fresh123
Picked101
Done011
Total78583

Merged error: 0.1b

Counts
83 → 5

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

3.3b
(log (- 1.0 (/ (- x y) (- 1.0 y))))
3.3b
(log (- 1.0 (/ (- x y) (- 1.0 y))))
3.3b
(log (/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y)))))
6.9b
(/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y))))

rewrite68.0ms (1.7%)

Algorithm
1×rewrite-expression-head
Rules
47×*-un-lft-identity
35×add-sqr-sqrt
34×log-prod times-frac
25×add-cube-cbrt
13×difference-of-squares
11×add-exp-log
9×distribute-lft-out
7×pow1
6×add-cbrt-cube
5×log-div
4×rem-log-exp associate-/r* associate-/r/ associate-/l* add-log-exp
3×flip3-- log-pow flip--
2×flip3-+ div-exp flip-+ div-inv associate-/l/ distribute-lft-out--
1×cbrt-undiv frac-2neg div-sub clear-num
Counts
4 → 108
Calls

4 calls:

19.0ms
(log (/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y)))))
18.0ms
(/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y))))
13.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
13.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series100.0ms (2.5%)

Counts
4 → 12
Calls

4 calls:

43.0ms
(log (/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y)))))
31.0ms
(/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y))))
13.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
12.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify69.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049622803
149622803

prune494.0ms (12.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1182120
Fresh123
Picked011
Done011
Total1196125

Merged error: 0.1b

Counts
125 → 6

regimes253.0ms (6.3%)

Accuracy

Total 0.0b remaining (32.2%)

Threshold costs 0.0b (32.2%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
019340
119340

end0.0ms (0%)

sample1.2s (29.7%)

Algorithm
1×intervals
Results
273.0ms5729×body80valid
195.0ms816×body1280valid
134.0ms780×body640valid
131.0ms717×body1280nan
116.0ms791×body640nan
53.0ms428×body320valid
49.0ms437×body320nan
21.0ms247×body160valid
15.0ms218×body160nan
12.0ms356×body80nan

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