Details

Time bar (total: 2.9s)

analyze371.0ms

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

sample49.0ms

Algorithm
intervals
Results
16.0ms37×body1280valid
10.0ms165×body80valid
8.0ms31×body640valid
3.0ms15×body320valid
1.0ms8×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 2 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 30
Calls
2 calls:
4.0ms
(+ x (sin y))
4.0ms
(* z (cos y))

series13.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(+ x (sin y))
8.0ms
(* z (cos y))

simplify84.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
04867201
14867201

prune55.0ms

Filtered
25 candidates to 36 candidates (-44.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New32436
Fresh000
Picked011
Done000
Total32537

Merged error: 0.0b

Counts
37 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (sin y))) (cbrt (+ x (sin y))))
0.6b
(cbrt (+ x (sin y)))
0.6b
(cbrt (+ x (sin y)))
0.6b
(cbrt (+ x (sin y)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
10.0ms
(* (cbrt (+ x (sin y))) (cbrt (+ x (sin y))))
3.0ms
(cbrt (+ x (sin y)))
3.0ms
(cbrt (+ x (sin y)))
3.0ms
(cbrt (+ x (sin y)))

series80.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (cbrt (+ x (sin y))) (cbrt (+ x (sin y))))
18.0ms
(cbrt (+ x (sin y)))
20.0ms
(cbrt (+ x (sin y)))
19.0ms
(cbrt (+ x (sin y)))

simplify68.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049171269
149171269

prune115.0ms

Filtered
71 candidates to 107 candidates (-50.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh033
Picked011
Done011
Total1075112

Merged error: 0.0b

Counts
112 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (cos y))
0.0b
(sqrt (cos y))
0.1b
(* z (sqrt (cos y)))
0.1b
(* (* z (sqrt (cos y))) (sqrt (cos y)))

rewrite17.0ms

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:
2.0ms
(sqrt (cos y))
1.0ms
(sqrt (cos y))
5.0ms
(* z (sqrt (cos y)))
7.0ms
(* (* z (sqrt (cos y))) (sqrt (cos y)))

series24.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (cos y))
3.0ms
(sqrt (cos y))
10.0ms
(* z (sqrt (cos y)))
7.0ms
(* (* z (sqrt (cos y))) (sqrt (cos y)))

simplify58.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04897441
14897441

prune72.0ms

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

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New80181
Fresh022
Picked011
Done022
Total80686

Merged error: 0.0b

Counts
86 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))))
0.2b
(cbrt (sqrt (cos y)))
0.2b
(cbrt (sqrt (cos y)))
0.2b
(cbrt (sqrt (cos y)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
58×cbrt-prod
44×add-sqr-sqrt
29×sqrt-prod
22×add-cube-cbrt *-un-lft-identity
11×pow1 swap-sqr
9×pow1/3 associate-*r* associate-*l* unswap-sqr
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
8.0ms
(* (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))))
2.0ms
(cbrt (sqrt (cos y)))
2.0ms
(cbrt (sqrt (cos y)))
2.0ms
(cbrt (sqrt (cos y)))

series78.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))))
21.0ms
(cbrt (sqrt (cos y)))
19.0ms
(cbrt (sqrt (cos y)))
19.0ms
(cbrt (sqrt (cos y)))

simplify46.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04980829
14980829

prune75.0ms

Filtered
60 candidates to 110 candidates (-83.3%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1100110
Fresh022
Picked011
Done033
Total1106116

Merged error: 0.0b

Counts
116 → 6

regimes251.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0119
1119

end0.0ms

sample1.4s

Algorithm
intervals
Results
446.0ms963×body1280valid
362.0ms5643×body80valid
222.0ms783×body640valid
84.0ms405×body320valid
29.0ms205×body160valid
1.0ms1×body2560valid

Profiling

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