Details

Time bar (total: 2.6s)

analyze88.0ms

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

sample48.0ms

Algorithm
intervals
Results
11.0ms165×body80valid
7.0ms29×body1280valid
5.0ms33×body640valid
2.0ms20×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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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:
3.0ms
(/ (sin y) y)
7.0ms
(* x (/ (sin y) y))

series15.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ (sin y) y)
11.0ms
(* x (/ (sin y) y))

simplify44.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05076493

prune82.0ms

Filtered
48 candidates to 65 candidates (-35.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New58765
Fresh000
Picked011
Done000
Total58866

Merged error: 0.0b

Counts
66 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.7b
(cbrt (sin y))
0.7b
(cbrt (sin y))
0.7b
(cbrt (sin y))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))

series78.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt y)
18.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))

simplify52.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05040265

prune66.0ms

Filtered
40 candidates to 56 candidates (-40.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New56056
Fresh066
Picked011
Done011
Total56864

Merged error: 0.0b

Counts
64 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin y)) (cbrt (sin y)))
0.7b
(cbrt (sin y))
0.7b
(cbrt (sin y))
0.7b
(cbrt (sin y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))

series79.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
20.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))

simplify48.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04991490
14991490

prune87.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New84185
Fresh055
Picked011
Done022
Total84993

Merged error: 0b

Counts
93 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (sin y))
0.7b
(cbrt (sin y))
0.7b
(cbrt (sin y))
0.9b
(pow (cbrt (cbrt (sin y))) 4)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 57
Calls
4 calls:
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
4.0ms
(pow (cbrt (cbrt (sin y))) 4)

series85.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))
27.0ms
(pow (cbrt (cbrt (sin y))) 4)

simplify43.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04847439
14847439

prune73.0ms

Filtered
44 candidates to 69 candidates (-56.8%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New69069
Fresh055
Picked011
Done033
Total69978

Merged error: 0b

Counts
78 → 9

regimes234.0ms

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
066
166

end0.0ms

sample1.4s

Algorithm
intervals
Results
229.0ms896×body1280valid
197.0ms5232×body80valid
163.0ms981×body640valid
70.0ms587×body320valid
27.0ms304×body160valid

Profiling

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