Details

Time bar (total: 2.1s)

analyze110.0ms

Algorithm
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
50%50%0.1%5
56.2%43.7%0.1%6
74.9%25%0.1%7
76.5%23.4%0.1%8
84.3%15.6%0.1%9
86.2%13.7%0.1%10
91.3%8.6%0.1%11
92.6%7.3%0.1%12
95.4%4.5%0.1%13
96.1%3.8%0.1%14

sample34.0ms

Algorithm
intervals
Results
10.0ms34×body1280valid
7.0ms159×body80valid
6.0ms33×body640valid
3.0ms21×body320valid
1.0ms9×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1166

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 59
Calls
2 calls:
6.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)

series19.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(* x (/ (sin y) y))
8.0ms
(/ (sin y) y)

simplify46.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05065493

prune84.0ms

Filtered
51 candidates to 65 candidates (-27.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New58765
Fresh000
Picked011
Done000
Total58866

Merged error: 0b

Counts
66 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (* (sin y) (/ 1 y)))
0.3b
(* (sin y) (/ 1 y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
18×add-sqr-sqrt
16×add-cbrt-cube
14×associate-*r*
13×prod-exp
12×*-un-lft-identity
11×add-cube-cbrt times-frac
9×pow1
7×cbrt-unprod
6×associate-*l*
4×associate-*r/ div-exp pow-prod-down
3×unswap-sqr
2×cbrt-undiv rec-exp 1-exp un-div-inv *-commutative add-log-exp
1×div-inv
Counts
2 → 60
Calls
2 calls:
7.0ms
(* x (* (sin y) (/ 1 y)))
7.0ms
(* (sin y) (/ 1 y))

series14.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(* x (* (sin y) (/ 1 y)))
4.0ms
(* (sin y) (/ 1 y))

simplify37.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
04965423
14965423

prune63.0ms

Filtered
37 candidates to 66 candidates (-78.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New66066
Fresh066
Picked011
Done011
Total66874

Merged error: 0b

Counts
74 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
2.0b
(* (cbrt (sin y)) (/ (* (cbrt (sin y)) x) (* (cbrt y) (cbrt y))))
2.6b
(/ (* (cbrt (sin y)) x) (* (cbrt y) (cbrt y)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
17×add-cbrt-cube
13×add-sqr-sqrt prod-exp cbrt-unprod
10×cbrt-prod
9×add-cube-cbrt *-un-lft-identity
8×cbrt-undiv div-exp
6×pow1 associate-*l*
5×associate-*r*
4×add-log-exp
2×times-frac pow1/3 div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative associate-/l*
Counts
4 → 76
Calls
4 calls:
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
10.0ms
(* (cbrt (sin y)) (/ (* (cbrt (sin y)) x) (* (cbrt y) (cbrt y))))
8.0ms
(/ (* (cbrt (sin y)) x) (* (cbrt y) (cbrt y)))

series111.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))
37.0ms
(* (cbrt (sin y)) (/ (* (cbrt (sin y)) x) (* (cbrt y) (cbrt y))))
39.0ms
(/ (* (cbrt (sin y)) x) (* (cbrt y) (cbrt y)))

simplify61.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04987919
14987919

prune96.0ms

Filtered
61 candidates to 88 candidates (-44.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New88088
Fresh055
Picked011
Done022
Total88896

Merged error: 0b

Counts
96 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (sin y) x)
7.9b
(/ (* (sin y) x) y)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
4×pow1
3×times-frac associate-*r* associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 39
Calls
2 calls:
4.0ms
(* (sin y) x)
5.0ms
(/ (* (sin y) x) y)

series14.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (sin y) x)
8.0ms
(/ (* (sin y) x) y)

simplify56.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
05167284

prune36.0ms

Filtered
29 candidates to 45 candidates (-55.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New44145
Fresh224
Picked011
Done123
Total47653

Merged error: 0b

Counts
53 → 6

regimes214.0ms

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 (0.0ms)

IterNodesCost
066
166

end0.0ms

analyze80.0ms

Algorithm
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
50%50%0.1%5
56.2%43.7%0.1%6
74.9%25%0.1%7
76.5%23.4%0.1%8
84.3%15.6%0.1%9
86.2%13.7%0.1%10
91.3%8.6%0.1%11
92.6%7.3%0.1%12
95.4%4.5%0.1%13
96.1%3.8%0.1%14

sample942.0ms

Algorithm
intervals
Results
268.0ms934×body1280valid
234.0ms5194×body80valid
178.0ms945×body640valid
77.0ms597×body320valid
30.0ms330×body160valid

Profiling

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