Details

Time bar (total: 1.4s)

analyze4.0ms

Algorithm
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

sample23.0ms

Algorithm
intervals
Results
10.0ms61×body640valid
4.0ms139×body80valid
3.0ms36×body320valid
1.0ms20×body160valid

simplify26.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
04979
14979

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 12.3b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
2.0b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
28×times-frac
27×add-sqr-sqrt
15×add-cube-cbrt
8×distribute-lft-out--
7×distribute-lft-out
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp difference-of-squares
3×div-inv associate-/l*
2×pow1 associate-/r/
1×cbrt-undiv sub-neg flip3-- frac-2neg flip3-+ diff-log div-exp clear-num frac-sub flip-- flip-+
Counts
2 → 57
Calls
2 calls:
5.0ms
(/ 1.0 (+ x 1.0))
17.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series6.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(/ 1.0 (+ x 1.0))
4.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify47.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04966709
14966709

prune98.0ms

Filtered
49 candidates to 63 candidates (-28.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New60363
Fresh000
Picked011
Done000
Total60464

Merged error: 0.2b

Counts
64 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ 1.0 x))
0.2b
(/ (* 1.0 (neg 1.0)) (* x (+ 1.0 x)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
6×add-sqr-sqrt *-un-lft-identity
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv add-cube-cbrt associate-*r/ div-exp associate-*r*
3×associate-*l*
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac distribute-frac-neg pow-prod-down clear-num associate-/r* *-commutative distribute-rgt-neg-out div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 47
Calls
2 calls:
5.0ms
(* x (+ 1.0 x))
8.0ms
(/ (* 1.0 (neg 1.0)) (* x (+ 1.0 x)))

series7.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* x (+ 1.0 x))
3.0ms
(/ (* 1.0 (neg 1.0)) (* x (+ 1.0 x)))

simplify52.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04949474
14949474

prune72.0ms

Filtered
33 candidates to 53 candidates (-60.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New49453
Fresh202
Picked011
Done101
Total52557

Merged error: 0.0b

Counts
57 → 5

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm
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×distribute-frac-neg prod-exp associate-/r/ cbrt-unprod distribute-lft-out
1×pow1 frac-2neg flip3-+ associate-*r/ 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 (/ (neg 1.0) x)) (+ 1.0 x))

series3.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(/ (* 1.0 (/ (neg 1.0) x)) (+ 1.0 x))

simplify33.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05021368

prune44.0ms

Filtered
20 candidates to 32 candidates (-60.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New31132
Fresh123
Picked011
Done011
Total32537

Merged error: 0.0b

Counts
37 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ 1.0 x))
0.2b
(cbrt (+ 1.0 x))
0.3b
(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))
0.5b
(/ (neg 1.0) (* x (cbrt (+ 1.0 x))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
32×cbrt-prod
28×add-sqr-sqrt
20×add-cube-cbrt
18×cbrt-div
11×pow1 add-exp-log
10×times-frac associate-/l*
9×flip3-+ swap-sqr flip-+
8×pow1/3 add-cbrt-cube distribute-lft-out
7×associate-*r* associate-*l*
6×distribute-lft-neg-in distribute-rgt-neg-in
4×frac-times associate-*r/ add-log-exp unswap-sqr
2×cbrt-undiv neg-mul-1 div-exp pow-prod-down associate-*l/ prod-exp associate-/r/ pow-sqr pow-prod-up cbrt-unprod
1×pow2 neg-sub0 frac-2neg pow-plus div-sub distribute-frac-neg clear-num associate-/r* *-commutative div-inv
Counts
4 → 120
Calls
4 calls:
3.0ms
(cbrt (+ 1.0 x))
3.0ms
(cbrt (+ 1.0 x))
9.0ms
(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))
8.0ms
(/ (neg 1.0) (* x (cbrt (+ 1.0 x))))

series32.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cbrt (+ 1.0 x))
6.0ms
(cbrt (+ 1.0 x))
7.0ms
(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))
13.0ms
(/ (neg 1.0) (* x (cbrt (+ 1.0 x))))

simplify54.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049091455
149091455

prune264.0ms

Filtered
92 candidates to 132 candidates (-43.5%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1302132
Fresh022
Picked011
Done022
Total1307137

Merged error: 0.0b

Counts
137 → 7

regimes44.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07110
17110

end0.0ms

sample515.0ms

Algorithm
intervals
Results
185.0ms1915×body640valid
116.0ms4231×body80valid
86.0ms1221×body320valid
31.0ms633×body160valid
0.0ms2×body80invalid

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