Details

Time bar (total: 2.3s)

analyze254.0ms (10.8%)

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

sample17.0ms (0.7%)

Algorithm
1×intervals
Results
8.0ms256×body80valid
0.0ms8×body80invalid

simplify95.0ms (4.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (94.0ms)

IterNodesCost
0490111
1490111

prune11.0ms (0.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.9b

Counts
2 → 2

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(- -1 (/ u t1))
0.1b
(* (+ t1 u) (- -1 (/ u t1)))
3.1b
(/ v (* (+ t1 u) (- -1 (/ u t1))))

rewrite34.0ms (1.5%)

Algorithm
1×rewrite-expression-head
Rules
19×add-sqr-sqrt
13×*-un-lft-identity
10×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
7×add-cube-cbrt flip3-- flip--
6×flip3-+ associate-*r* flip-+
5×pow1 times-frac add-log-exp
4×associate-*r/ associate-*l* associate-*l/ difference-of-squares
3×sub-neg associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod distribute-lft-out--
1×distribute-rgt-in frac-2neg distribute-lft-in diff-log pow-prod-down clear-num associate-/r* *-commutative div-inv distribute-lft-out unswap-sqr
Counts
3 → 75
Calls

3 calls:

14.0ms
(* (+ t1 u) (- -1 (/ u t1)))
12.0ms
(/ v (* (+ t1 u) (- -1 (/ u t1))))
6.0ms
(- -1 (/ u t1))

series23.0ms (1%)

Counts
3 → 9
Calls

3 calls:

14.0ms
(/ v (* (+ t1 u) (- -1 (/ u t1))))
5.0ms
(* (+ t1 u) (- -1 (/ u t1)))
3.0ms
(- -1 (/ u t1))

simplify36.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05052995

prune132.0ms (5.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New79584
Fresh011
Picked101
Done000
Total80686

Merged error: 0.2b

Counts
86 → 6

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(- -1 (/ u t1))
0.0b
(/ v (+ t1 u))
1.5b
(/ (/ v (+ t1 u)) (- -1 (/ u t1)))

rewrite37.0ms (1.6%)

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:

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

series24.0ms (1%)

Counts
3 → 9
Calls

3 calls:

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

simplify60.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
050133730

prune268.0ms (11.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2050205
Fresh055
Picked011
Done000
Total2056211

Merged error: 0.2b

Counts
211 → 6

localize14.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt v)
0.6b
(cbrt v)
0.6b
(cbrt v)
2.3b
(/ (cbrt v) (- -1 (/ u t1)))

rewrite16.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
63×add-sqr-sqrt
43×times-frac
42×*-un-lft-identity
30×cbrt-prod
28×add-cube-cbrt
14×difference-of-squares
7×distribute-lft-out--
6×add-exp-log associate-/r* associate-/l*
5×add-cbrt-cube
4×pow1 add-log-exp
3×pow1/3
2×associate-/r/
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv
Counts
4 → 95
Calls

4 calls:

9.0ms
(/ (cbrt v) (- -1 (/ u t1)))
1.0ms
(cbrt v)
1.0ms
(cbrt v)
1.0ms
(cbrt v)

series95.0ms (4.1%)

Counts
4 → 12
Calls

4 calls:

28.0ms
(/ (cbrt v) (- -1 (/ u t1)))
24.0ms
(cbrt v)
21.0ms
(cbrt v)
21.0ms
(cbrt v)

simplify66.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
048301087
148301087

prune143.0ms (6.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh044
Picked011
Done011
Total1076113

Merged error: 0.2b

Counts
113 → 6

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(- -1 (/ u t1))
0.0b
(/ 1 (+ t1 u))
0.8b
(* (/ 1 (+ t1 u)) (/ v (- -1 (/ u t1))))
5.4b
(/ v (- -1 (/ u t1)))

rewrite47.0ms (2%)

Algorithm
1×rewrite-expression-head
Rules
99×add-sqr-sqrt
75×times-frac
74×*-un-lft-identity
42×add-cube-cbrt
32×add-exp-log
24×associate-*r*
20×add-cbrt-cube
18×associate-*l*
16×difference-of-squares
11×div-exp
10×associate-/r*
8×prod-exp associate-/r/ distribute-lft-out--
7×pow1 distribute-lft-out
6×cbrt-undiv associate-/l* add-log-exp unswap-sqr
4×cbrt-unprod div-inv
3×rec-exp flip3-- 1-exp flip--
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times sub-neg pow-flip diff-log associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
4 → 164
Calls

4 calls:

21.0ms
(* (/ 1 (+ t1 u)) (/ v (- -1 (/ u t1))))
8.0ms
(/ v (- -1 (/ u t1)))
6.0ms
(- -1 (/ u t1))
5.0ms
(/ 1 (+ t1 u))

series36.0ms (1.5%)

Counts
4 → 12
Calls

4 calls:

21.0ms
(* (/ 1 (+ t1 u)) (/ v (- -1 (/ u t1))))
7.0ms
(/ v (- -1 (/ u t1)))
4.0ms
(/ 1 (+ t1 u))
3.0ms
(- -1 (/ u t1))

simplify47.0ms (2%)

Algorithm
1×egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
051381922

prune225.0ms (9.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1760176
Fresh033
Picked011
Done022
Total1766182

Merged error: 0.2b

Counts
182 → 6

regimes210.0ms (9%)

Accuracy

Total 1.3b remaining (87.6%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02611
12611

end0.0ms (0%)

sample423.0ms (18.1%)

Algorithm
1×intervals
Results
252.0ms8000×body80valid
8.0ms262×body80invalid

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