Details

Time bar (total: 1.3s)

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

sample17.0ms

Algorithm
intervals
Results
5.0ms57×body640valid
3.0ms142×body80valid
2.0ms32×body320valid
1.0ms25×body160valid

simplify2.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
179

prune4.0ms

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: 13.5b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
3.9b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite27.0ms

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:
8.0ms
(/ 1.0 (+ x 1.0))
16.0ms
(- (/ 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))

simplify45.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05636709

prune84.0ms

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

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New60363
Fresh000
Picked101
Done000
Total61364

Merged error: 0.4b

Counts
64 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ 1.0 x))
0.4b
(/ (* 1.0 (neg 1.0)) (* x (+ 1.0 x)))

rewrite17.0ms

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)))

simplify54.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04959474
14959474

prune64.0ms

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

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New48553
Fresh202
Picked101
Done000
Total51556

Merged error: 0.0b

Counts
56 → 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))

simplify46.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04969368
14969368

prune42.0ms

Filtered
22 candidates to 32 candidates (-45.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New32032
Fresh044
Picked011
Done000
Total32537

Merged error: 0.0b

Counts
37 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (+ 1.0 x))) (cbrt (* x (+ 1.0 x))))
15.1b
(cbrt (* x (+ 1.0 x)))
15.1b
(cbrt (* x (+ 1.0 x)))
15.1b
(cbrt (* x (+ 1.0 x)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
6.0ms
(* (cbrt (* x (+ 1.0 x))) (cbrt (* x (+ 1.0 x))))
4.0ms
(cbrt (* x (+ 1.0 x)))
4.0ms
(cbrt (* x (+ 1.0 x)))
4.0ms
(cbrt (* x (+ 1.0 x)))

series43.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* (cbrt (* x (+ 1.0 x))) (cbrt (* x (+ 1.0 x))))
9.0ms
(cbrt (* x (+ 1.0 x)))
11.0ms
(cbrt (* x (+ 1.0 x)))
11.0ms
(cbrt (* x (+ 1.0 x)))

simplify33.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
050461073

prune177.0ms

Filtered
71 candidates to 84 candidates (-18.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh033
Picked011
Done011
Total84589

Merged error: 0.0b

Counts
89 → 5

regimes34.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01810
11810

end0.0ms

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

sample485.0ms

Algorithm
intervals
Results
178.0ms1908×body640valid
105.0ms4247×body80valid
86.0ms1202×body320valid
30.0ms643×body160valid

Profiling

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