Details

Time bar (total: 3.5s)

analyze292.0ms

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
25%74.9%0.1%6
49.9%49.9%0.1%7
56.2%43.7%0.1%8
56.2%43.7%0.1%9
71.8%28.1%0.1%10
76.5%23.4%0.1%11
76.5%23.4%0.1%12
85%14.8%0.1%13
87.8%12.1%0.1%14

sample63.0ms

Algorithm
intervals
Results
21.0ms44×body1280valid
17.0ms45×body640valid
9.0ms131×body80valid
5.0ms26×body320valid
1.0ms10×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0119
1119

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
7×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l*
5×add-log-exp
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 47
Calls
3 calls:
4.0ms
(+ (* x (sin y)) (* z (cos y)))
4.0ms
(* x (sin y))
4.0ms
(* z (cos y))

series30.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(+ (* x (sin y)) (* z (cos y)))
7.0ms
(* x (sin y))
7.0ms
(* z (cos y))

simplify53.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04938396
14938396

prune92.0ms

Filtered
39 candidates to 56 candidates (-43.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New47956
Fresh000
Picked101
Done000
Total48957

Merged error: 0.0b

Counts
57 → 9

localize14.0ms

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))
2.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series80.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
18.0ms
(cbrt (cos y))
17.0ms
(cbrt (cos y))
20.0ms
(cbrt (cos y))

simplify47.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05034459

prune91.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh268
Picked011
Done000
Total86894

Merged error: 0.0b

Counts
94 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (pow (pow (cos y) 2) 1/3))
0.2b
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.3b
(pow (cos y) 2)
0.3b
(cbrt (cos y))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log
22×add-sqr-sqrt
19×unpow-prod-down
18×associate-*r*
16×prod-exp
13×add-cube-cbrt *-un-lft-identity
11×add-cbrt-cube
9×pow-exp
7×pow1 cbrt-unprod
6×cbrt-prod unswap-sqr
5×pow-to-exp sqr-pow
4×associate-*l* add-log-exp
3×pow-unpow unpow2
2×unpow1/3 *-commutative
1×pow-pow pow1/3 pow-prod-down
Counts
4 → 90
Calls
4 calls:
7.0ms
(* z (pow (pow (cos y) 2) 1/3))
9.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series50.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* z (pow (pow (cos y) 2) 1/3))
7.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
6.0ms
(pow (cos y) 2)
18.0ms
(cbrt (cos y))

simplify51.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05106621

prune133.0ms

Filtered
63 candidates to 102 candidates (-61.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1002102
Fresh156
Picked011
Done101
Total1028110

Merged error: 0.0b

Counts
110 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 47
Calls
4 calls:
2.0ms
(cbrt (cbrt (cos y)))
1.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))

series72.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(cbrt (cbrt (cos y)))
17.0ms
(cbrt (cos y))
17.0ms
(cbrt (cos y))
19.0ms
(cbrt (cos y))

simplify37.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05000313

prune76.0ms

Filtered
39 candidates to 59 candidates (-51.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New59059
Fresh066
Picked011
Done011
Total59867

Merged error: 0.0b

Counts
67 → 8

regimes206.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01817
11817

end0.0ms

analyze284.0ms

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
25%74.9%0.1%6
49.9%49.9%0.1%7
56.2%43.7%0.1%8
56.2%43.7%0.1%9
71.8%28.1%0.1%10
76.5%23.4%0.1%11
76.5%23.4%0.1%12
85%14.8%0.1%13
87.8%12.1%0.1%14

sample1.8s

Algorithm
intervals
Results
698.0ms1516×body1280valid
375.0ms1299×body640valid
308.0ms4241×body80valid
124.0ms628×body320valid
43.0ms316×body160valid

Profiling

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