Details

Time bar (total: 2.3s)

analyze87.0ms

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

sample42.0ms

Algorithm
intervals
Results
15.0ms161×body80valid
9.0ms35×body1280valid
5.0ms31×body640valid
3.0ms19×body320valid
1.0ms10×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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
(* x (/ (sin y) y))
0.2b
(/ (sin y) y)

rewrite13.0ms

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:
7.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)

series16.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(* x (/ (sin y) y))
5.0ms
(/ (sin y) y)

simplify54.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05076493

prune90.0ms

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

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))

rewrite7.0ms

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)
2.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))

series84.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt y)
22.0ms
(cbrt (sin y))
20.0ms
(cbrt (sin y))
20.0ms
(cbrt (sin y))

simplify56.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05040265

prune67.0ms

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: 0b

Counts
64 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
4.0b
(* (* (cbrt (sin y)) (* (cbrt (sin y)) x)) (/ (cbrt (sin y)) y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×associate-*r*
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac
16×add-cbrt-cube
13×pow1
12×prod-exp cbrt-unprod
6×pow-prod-down
4×add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×associate-*r/ associate-*l* *-commutative div-inv
Counts
4 → 80
Calls
4 calls:
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))
13.0ms
(* (* (cbrt (sin y)) (* (cbrt (sin y)) x)) (/ (cbrt (sin y)) y))

series71.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(cbrt (sin y))
20.0ms
(cbrt (sin y))
22.0ms
(cbrt (sin y))
10.0ms
(* (* (cbrt (sin y)) (* (cbrt (sin y)) x)) (/ (cbrt (sin y)) y))

simplify64.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04936707
14936707

prune88.0ms

Filtered
60 candidates to 92 candidates (-53.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New92092
Fresh055
Picked011
Done022
Total928100

Merged error: 0b

Counts
100 → 8

localize6.0ms

Local error

Found 1 expressions with local error:

5.6b
(* (sin y) (/ x y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
7.0ms
(* (sin y) (/ x y))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(* (sin y) (/ x y))

simplify52.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04814270
14814270

prune27.0ms

Filtered
24 candidates to 35 candidates (-45.8%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New35035
Fresh044
Picked011
Done033
Total35843

Merged error: 0b

Counts
43 → 8

regimes216.0ms

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 (1.0ms)

IterNodesCost
066
166

end0.0ms

sample1.2s

Algorithm
intervals
Results
308.0ms569×body320valid
250.0ms877×body1280valid
239.0ms5256×body80valid
175.0ms974×body640valid
29.0ms324×body160valid

Profiling

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