Details

Time bar (total: 3.2s)

analyze385.0ms

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
0%99.9%0.1%5
12.5%87.4%0.1%6
34.3%65.5%0.1%7
46.8%53%0.1%8
48%51.9%0.1%9
63%36.9%0.1%10
71.7%28.2%0.1%11
72%27.8%0.1%12
80.5%19.4%0.1%13
85.4%14.5%0.1%14

sample41.0ms

Algorithm
intervals
Results
11.0ms25×body1280valid
11.0ms191×body80valid
6.0ms23×body640valid
2.0ms10×body320valid
1.0ms7×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0199
1199

prune7.0ms

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: 0.0b

Counts
2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (sin y))
0.0b
(+ (+ x (sin y)) (* z (cos y)))
0.1b
(* z (cos y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
7×add-sqr-sqrt *-un-lft-identity
5×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×sum-log
3×associate-*r* associate-*l*
2×+-commutative flip3-+ flip-+
1×associate-+l+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 43
Calls
3 calls:
3.0ms
(+ x (sin y))
6.0ms
(+ (+ x (sin y)) (* z (cos y)))
4.0ms
(* z (cos y))

series24.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ x (sin y))
11.0ms
(+ (+ x (sin y)) (* z (cos y)))
8.0ms
(* z (cos y))

simplify61.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04945398
14945398

prune68.0ms

Filtered
37 candidates to 52 candidates (-40.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New48452
Fresh000
Picked011
Done000
Total48553

Merged error: 0.0b

Counts
53 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (cos y)) (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos 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 (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series78.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
17.0ms
(cbrt (cos y))
17.0ms
(cbrt (cos y))
20.0ms
(cbrt (cos y))

simplify43.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05034459

prune82.0ms

Filtered
50 candidates to 85 candidates (-70.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh033
Picked101
Done011
Total85590

Merged error: 0b

Counts
90 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.3b
(cbrt (pow (cos y) 2))
0.3b
(pow (cos y) 2)
0.3b
(cbrt (cos y))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log
6×unpow-prod-down associate-*r* add-cbrt-cube
4×add-log-exp
3×pow-unpow pow-prod-down prod-exp cbrt-unprod
2×pow1/3 unpow2 sqr-pow
1×pow-to-exp pow-pow associate-*l* pow-exp *-commutative
Counts
4 → 66
Calls
4 calls:
8.0ms
(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
2.0ms
(cbrt (pow (cos y) 2))
2.0ms
(pow (cos y) 2)
2.0ms
(cbrt (cos y))

series54.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
27.0ms
(cbrt (pow (cos y) 2))
3.0ms
(pow (cos y) 2)
17.0ms
(cbrt (cos y))

simplify35.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05010521

prune99.0ms

Filtered
51 candidates to 78 candidates (-52.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New78078
Fresh033
Picked011
Done011
Total78583

Merged error: 0b

Counts
83 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (cos y))
0.1b
(sqrt (cos y))
0.1b
(* z (sqrt (cos y)))
0.1b
(* (* z (sqrt (cos y))) (sqrt (cos y)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*r*
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 *-commutative unswap-sqr
Counts
4 → 69
Calls
4 calls:
1.0ms
(sqrt (cos y))
1.0ms
(sqrt (cos y))
5.0ms
(* z (sqrt (cos y)))
7.0ms
(* (* z (sqrt (cos y))) (sqrt (cos y)))

series21.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (cos y))
3.0ms
(sqrt (cos y))
9.0ms
(* z (sqrt (cos y)))
7.0ms
(* (* z (sqrt (cos y))) (sqrt (cos y)))

simplify52.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05124435

prune57.0ms

Filtered
49 candidates to 81 candidates (-65.3%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New81081
Fresh022
Picked011
Done022
Total81586

Merged error: 0b

Counts
86 → 5

regimes222.0ms

Accuracy

0% (0.0b 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
0119
1119

end0.0ms

analyze343.0ms

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
0%99.9%0.1%5
12.5%87.4%0.1%6
34.3%65.5%0.1%7
46.8%53%0.1%8
48%51.9%0.1%9
63%36.9%0.1%10
71.7%28.2%0.1%11
72%27.8%0.1%12
80.5%19.4%0.1%13
85.4%14.5%0.1%14

sample1.4s

Algorithm
intervals
Results
454.0ms990×body1280valid
351.0ms5563×body80valid
240.0ms825×body640valid
92.0ms428×body320valid
27.0ms194×body160valid

Profiling

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