Details

Time bar (total: 2.9s)

analyze5.0ms (0.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
62.5%37.5%0%4
81.2%18.7%0%5
90.6%9.4%0%6
95.3%4.7%0%7
97.6%2.3%0%8
98.8%1.2%0%9
99.4%0.6%0%10
99.7%0.3%0%11
99.8%0.1%0%12
99.9%0.1%0%13
99.9%0%0%14

sample18.0ms (0.6%)

Algorithm
1×intervals
Results
5.0ms60×body640valid
3.0ms131×body80valid
3.0ms37×body320valid
1.0ms28×body160valid

simplify39.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04979
14979

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 13.8b

Counts
2 → 1

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

2.3b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite18.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
22×*-un-lft-identity
17×add-sqr-sqrt
16×times-frac
8×distribute-lft-out--
5×add-cube-cbrt
4×difference-of-squares
3×distribute-lft-out add-log-exp
2×div-inv
1×pow1 add-exp-log sub-neg flip3-- diff-log frac-sub add-cbrt-cube flip--
Counts
1 → 24
Calls

1 calls:

17.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series4.0ms (0.1%)

Counts
1 → 3
Calls

1 calls:

4.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify39.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
04937382
14937382

prune51.0ms (1.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New25227
Fresh000
Picked101
Done000
Total26228

Merged error: 0.2b

Counts
28 → 2

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b
(/ (* 1.0 (neg 1.0)) (* x (+ 1.0 x)))

rewrite9.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod
2×associate-*r/ associate-/r/
1×pow1 add-sqr-sqrt add-cube-cbrt frac-2neg *-un-lft-identity flip3-+ times-frac distribute-frac-neg clear-num associate-/r* distribute-rgt-neg-out flip-+ div-inv associate-/l* add-log-exp
Counts
1 → 24
Calls

1 calls:

8.0ms
(/ (* 1.0 (neg 1.0)) (* x (+ 1.0 x)))

series3.0ms (0.1%)

Counts
1 → 3
Calls

1 calls:

3.0ms
(/ (* 1.0 (neg 1.0)) (* x (+ 1.0 x)))

simplify25.0ms (0.9%)

Algorithm
1×egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
05451311

prune40.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New26127
Fresh101
Picked011
Done000
Total27229

Merged error: 0.0b

Counts
29 → 2

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b
(/ (* (/ 1.0 x) (neg 1.0)) (+ 1.0 x))

rewrite10.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×*-un-lft-identity
4×cbrt-undiv times-frac div-exp associate-/r*
3×add-sqr-sqrt add-cube-cbrt
2×prod-exp associate-/r/ cbrt-unprod distribute-lft-out
1×pow1 frac-2neg flip3-+ distribute-frac-neg associate-*l/ clear-num distribute-rgt-neg-out flip-+ div-inv associate-/l/ associate-/l* add-log-exp
Counts
1 → 29
Calls

1 calls:

9.0ms
(/ (* (/ 1.0 x) (neg 1.0)) (+ 1.0 x))

series3.0ms (0.1%)

Counts
1 → 3
Calls

1 calls:

3.0ms
(/ (* (/ 1.0 x) (neg 1.0)) (+ 1.0 x))

simplify55.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04969366
14969366

prune44.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New31132
Fresh000
Picked011
Done011
Total31334

Merged error: 0.0b

Counts
34 → 3

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ 1.0 x))
0.0b
(* (/ (/ 1.0 x) (sqrt (+ 1.0 x))) (/ (neg 1.0) (sqrt (+ 1.0 x))))
0.1b
(/ (/ 1.0 x) (sqrt (+ 1.0 x)))
0.1b
(/ (neg 1.0) (sqrt (+ 1.0 x)))

rewrite154.0ms (5.4%)

Algorithm
1×rewrite-expression-head
Rules
485×times-frac
351×*-un-lft-identity
312×add-sqr-sqrt
253×add-cube-cbrt
207×sqrt-prod
97×associate-*l*
76×associate-*r*
49×distribute-lft-out
45×distribute-lft-neg-in distribute-rgt-neg-in
32×add-exp-log add-cbrt-cube
23×associate-/l*
19×div-inv
15×neg-mul-1 unswap-sqr
14×associate-/r*
13×cbrt-undiv div-exp
10×sqrt-div
8×associate-/r/
7×pow1
6×prod-exp cbrt-unprod
5×flip3-+ flip-+
4×add-log-exp
2×frac-2neg distribute-frac-neg clear-num
1×neg-sub0 frac-times rem-sqrt-square sqrt-pow1 pow1/2 div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative distribute-rgt-neg-out associate-/l/
Counts
4 → 460
Calls

4 calls:

107.0ms
(* (/ (/ 1.0 x) (sqrt (+ 1.0 x))) (/ (neg 1.0) (sqrt (+ 1.0 x))))
9.0ms
(/ (neg 1.0) (sqrt (+ 1.0 x)))
9.0ms
(/ (/ 1.0 x) (sqrt (+ 1.0 x)))
3.0ms
(sqrt (+ 1.0 x))

series29.0ms (1%)

Counts
4 → 12
Calls

4 calls:

10.0ms
(/ (/ 1.0 x) (sqrt (+ 1.0 x)))
9.0ms
(sqrt (+ 1.0 x))
7.0ms
(/ (neg 1.0) (sqrt (+ 1.0 x)))
3.0ms
(* (/ (/ 1.0 x) (sqrt (+ 1.0 x))) (/ (neg 1.0) (sqrt (+ 1.0 x))))

simplify62.0ms (2.2%)

Algorithm
1×egg-herbie
Counts
472 → 472
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
051267733

prune1.7s (59.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New4711472
Fresh000
Picked011
Done022
Total4714475

Merged error: 0.0b

Counts
475 → 4

regimes31.0ms (1.1%)

Accuracy

Total 0.1b remaining (77%)

Threshold costs 0.1b (77%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04010
14010

end0.0ms (0%)

sample505.0ms (17.6%)

Algorithm
1×intervals
Results
187.0ms1985×body640valid
108.0ms4195×body80valid
81.0ms1196×body320valid
30.0ms624×body160valid
0.0ms1×body80invalid

Profiling

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