Details

Time bar (total: 3.5s)

analyze259.0ms (7.4%)

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
0%99.9%0.1%5
12.5%87.4%0.1%6
28.1%71.8%0.1%7
42.1%57.7%0.1%8
43.7%56.2%0.1%9
64.4%35.5%0.1%10
71.6%28.3%0.1%11
72.2%27.7%0.1%12
81.6%18.2%0.2%13
84.9%14.9%0.2%14

sample18.0ms (0.5%)

Algorithm
1×intervals
Results
8.0ms256×body80valid
0.0ms6×body80invalid

simplify114.0ms (3.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (112.0ms)

IterNodesCost
0490111
1490111

prune12.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(- -1 (/ u t1))
0.0b
(/ v (+ t1 u))
1.3b
(/ (/ v (+ t1 u)) (- -1 (/ u t1)))

rewrite36.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
224×times-frac
187×add-sqr-sqrt
177×*-un-lft-identity
87×add-cube-cbrt
40×difference-of-squares
25×distribute-lft-out
21×associate-/l*
20×distribute-lft-out--
18×associate-/r/
10×add-exp-log associate-/r* add-cbrt-cube
9×div-inv
8×flip3-+ flip-+
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×flip3-- frac-2neg clear-num flip--
1×sub-neg diff-log associate-/l/
Counts
3 → 196
Calls

3 calls:

14.0ms
(/ (/ v (+ t1 u)) (- -1 (/ u t1)))
6.0ms
(- -1 (/ u t1))
5.0ms
(/ v (+ t1 u))

series25.0ms (0.7%)

Counts
3 → 9
Calls

3 calls:

15.0ms
(/ (/ v (+ t1 u)) (- -1 (/ u t1)))
6.0ms
(/ v (+ t1 u))
3.0ms
(- -1 (/ u t1))

simplify58.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
050133730

prune290.0ms (8.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1996205
Fresh011
Picked101
Done000
Total2007207

Merged error: 0.0b

Counts
207 → 7

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(- (/ u t1) -1)
0.0b
(/ v (+ t1 u))
0.3b
(/ -1 (- (/ u t1) -1))
0.9b
(* (/ v (+ t1 u)) (/ -1 (- (/ u t1) -1)))

rewrite49.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
94×add-sqr-sqrt
72×*-un-lft-identity times-frac
42×add-cube-cbrt
24×associate-*r*
20×add-exp-log add-cbrt-cube
18×associate-*l*
16×difference-of-squares
10×associate-/r*
8×associate-/r/ distribute-lft-out--
7×distribute-lft-out
6×pow1 cbrt-undiv div-exp associate-/l* add-log-exp
4×prod-exp cbrt-unprod div-inv unswap-sqr
3×flip3-- flip--
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times sub-neg diff-log associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 154
Calls

4 calls:

24.0ms
(* (/ v (+ t1 u)) (/ -1 (- (/ u t1) -1)))
8.0ms
(/ -1 (- (/ u t1) -1))
7.0ms
(- (/ u t1) -1)
5.0ms
(/ v (+ t1 u))

series29.0ms (0.8%)

Counts
4 → 12
Calls

4 calls:

15.0ms
(* (/ v (+ t1 u)) (/ -1 (- (/ u t1) -1)))
6.0ms
(/ v (+ t1 u))
5.0ms
(/ -1 (- (/ u t1) -1))
3.0ms
(- (/ u t1) -1)

simplify44.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
050351889

prune224.0ms (6.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1651166
Fresh246
Picked011
Done000
Total1676173

Merged error: 0.0b

Counts
173 → 6

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(- (/ u t1) -1)
0.7b
(/ (/ (neg v) (- (/ u t1) -1)) (+ t1 u))
2.0b
(/ (neg v) (- (/ u t1) -1))

rewrite76.0ms (2.2%)

Algorithm
1×rewrite-expression-head
Rules
686×times-frac
557×add-sqr-sqrt
505×*-un-lft-identity
247×add-cube-cbrt
124×difference-of-squares
111×distribute-lft-neg-in distribute-rgt-neg-in
76×associate-/l*
67×distribute-lft-out
62×distribute-lft-out--
37×neg-mul-1
14×associate-/r/
10×add-exp-log associate-/r* add-cbrt-cube
7×flip3-- flip-- div-inv
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 div-sub distribute-frac-neg
2×neg-sub0 frac-2neg clear-num
1×sub-neg flip3-+ diff-log flip-+ associate-/l/
Counts
3 → 459
Calls

3 calls:

24.0ms
(/ (/ (neg v) (- (/ u t1) -1)) (+ t1 u))
10.0ms
(/ (neg v) (- (/ u t1) -1))
7.0ms
(- (/ u t1) -1)

series25.0ms (0.7%)

Counts
3 → 9
Calls

3 calls:

15.0ms
(/ (/ (neg v) (- (/ u t1) -1)) (+ t1 u))
7.0ms
(/ (neg v) (- (/ u t1) -1))
3.0ms
(- (/ u t1) -1)

simplify115.0ms (3.3%)

Algorithm
1×egg-herbie
Counts
468 → 468
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049419808
149419808

prune690.0ms (19.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New4680468
Fresh044
Picked011
Done011
Total4686474

Merged error: 0.0b

Counts
474 → 6

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(- -1 (/ u t1))
0.0b
(/ 1 (+ t1 u))
0.1b
(/ (/ 1 (+ t1 u)) (- -1 (/ u t1)))
2.5b
(* v (/ (/ 1 (+ t1 u)) (- -1 (/ u t1))))

rewrite85.0ms (2.4%)

Algorithm
1×rewrite-expression-head
Rules
427×times-frac
358×add-sqr-sqrt
319×*-un-lft-identity
156×add-cube-cbrt
114×associate-*r*
76×difference-of-squares
43×distribute-lft-out
38×distribute-lft-out--
32×add-exp-log associate-/r/
21×associate-/l*
20×add-cbrt-cube
16×div-inv
14×flip3-+ div-exp flip-+
10×associate-/r*
7×pow1 cbrt-undiv
6×add-log-exp
5×prod-exp
4×unswap-sqr
3×rec-exp flip3-- 1-exp associate-*l* flip-- cbrt-unprod
2×frac-2neg clear-num
1×sub-neg pow-flip diff-log associate-*r/ pow-prod-down *-commutative associate-/l/ inv-pow
Counts
4 → 341
Calls

4 calls:

37.0ms
(* v (/ (/ 1 (+ t1 u)) (- -1 (/ u t1))))
15.0ms
(/ (/ 1 (+ t1 u)) (- -1 (/ u t1)))
6.0ms
(- -1 (/ u t1))
5.0ms
(/ 1 (+ t1 u))

series35.0ms (1%)

Counts
4 → 12
Calls

4 calls:

15.0ms
(* v (/ (/ 1 (+ t1 u)) (- -1 (/ u t1))))
12.0ms
(/ (/ 1 (+ t1 u)) (- -1 (/ u t1)))
4.0ms
(/ 1 (+ t1 u))
3.0ms
(- -1 (/ u t1))

simplify67.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
353 → 353
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
054075541

prune586.0ms (16.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New3530353
Fresh033
Picked011
Done022
Total3536359

Merged error: 0.0b

Counts
359 → 6

regimes203.0ms (5.8%)

Accuracy

Total 1.3b remaining (86.3%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02013
12013

end0.0ms (0%)

sample442.0ms (12.6%)

Algorithm
1×intervals
Results
262.0ms8000×body80valid
8.0ms266×body80invalid

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