Details

Time bar (total: 3.2s)

analyze333.0ms

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
25%74.9%0.1%5
43.7%56.2%0.1%6
43.7%46.8%9.5%7
46.8%42.1%11%8
46.8%36.7%16.5%9
48.4%34%17.7%10
48.4%31%20.6%11
49.2%29.6%21.3%12
49.2%28%22.8%13
49.6%27.3%23.1%14

sample64.0ms

Algorithm
intervals
Results
16.0ms55×body1280invalid
11.0ms187×body80valid
7.0ms31×body640valid
6.0ms31×body640invalid
4.0ms11×body1280valid
3.0ms21×body320invalid
3.0ms19×body320valid
1.0ms15×body160invalid
1.0ms8×body160valid
1.0ms11×body80invalid

simplify41.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049707
149707

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(/ (sinh y) x)
0.2b
(* (sin x) (/ (sinh y) x))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*r*
10×add-exp-log add-cbrt-cube
5×pow1
3×associate-*l* associate-/r* associate-/l* add-log-exp
2×cbrt-undiv sinh-def div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
3 → 68
Calls
3 calls:
1.0ms
(sinh y)
4.0ms
(/ (sinh y) x)
8.0ms
(* (sin x) (/ (sinh y) x))

series47.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(sinh y)
15.0ms
(/ (sinh y) x)
21.0ms
(* (sin x) (/ (sinh y) x))

simplify60.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04929627
14929627

prune87.0ms

Filtered
60 candidates to 77 candidates (-28.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New73477
Fresh011
Picked101
Done000
Total74579

Merged error: 0b

Counts
79 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.2b
(* (sin x) (* (sinh y) (/ 1 x)))
0.2b
(* (sinh y) (/ 1 x))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
19×add-sqr-sqrt
17×add-cbrt-cube
14×associate-*r*
13×*-un-lft-identity prod-exp
12×add-cube-cbrt
11×times-frac
10×pow1
7×cbrt-unprod
6×associate-*r/ associate-*l*
5×sinh-def
4×div-exp pow-prod-down
3×add-log-exp unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ un-div-inv *-commutative
1×div-inv
Counts
3 → 72
Calls
3 calls:
1.0ms
(sinh y)
8.0ms
(* (sin x) (* (sinh y) (/ 1 x)))
7.0ms
(* (sinh y) (/ 1 x))

series46.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh y)
20.0ms
(* (sin x) (* (sinh y) (/ 1 x)))
17.0ms
(* (sinh y) (/ 1 x))

simplify47.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04971545
14971545

prune79.0ms

Filtered
55 candidates to 81 candidates (-47.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New80181
Fresh134
Picked011
Done000
Total81586

Merged error: 0b

Counts
86 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sinh y) (/ (sin x) x))
0.1b
(/ (sin x) x)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*r*
10×add-exp-log add-cbrt-cube
5×pow1
3×sinh-def associate-*l* associate-/r* associate-/l* add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 69
Calls
3 calls:
1.0ms
(sinh y)
7.0ms
(* (sinh y) (/ (sin x) x))
4.0ms
(/ (sin x) x)

series33.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh y)
20.0ms
(* (sinh y) (/ (sin x) x))
4.0ms
(/ (sin x) x)

simplify45.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04952629
14952629

prune72.0ms

Filtered
62 candidates to 78 candidates (-25.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New78078
Fresh033
Picked011
Done011
Total78583

Merged error: 0b

Counts
83 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite11.0ms

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:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series92.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt x) (cbrt x))
22.0ms
(cbrt x)
24.0ms
(cbrt x)
22.0ms
(cbrt x)

simplify47.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05165356

prune70.0ms

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

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh022
Picked011
Done022
Total85590

Merged error: 0b

Counts
90 → 5

regimes189.0ms

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
077
177

end0.0ms

sample1.8s

Algorithm
intervals
Results
426.0ms1425×body1280invalid
266.0ms6035×body80valid
258.0ms1259×body640invalid
155.0ms397×body1280valid
150.0ms738×body640valid
82.0ms573×body320invalid
71.0ms517×body320valid
33.0ms292×body160invalid
32.0ms568×body80invalid
30.0ms313×body160valid

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