Details

Time bar (total: 3.5s)

analyze390.0ms

Algorithm
search

sample48.0ms

Algorithm
intervals
Results
14.0ms29×body1280valid
12.0ms183×body80valid
8.0ms26×body640valid
2.0ms11×body320valid
1.0ms7×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0135
1205
2225
3225

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

rewrite15.0ms

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))

simplify76.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0196244
1694228
22608228
35001228

prune69.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New47552
Fresh000
Picked011
Done000
Total47653

Merged error: 0.0b

Counts
53 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
0.6b
(cbrt (* z (cos y)))
0.6b
(cbrt (* z (cos y)))
0.6b
(cbrt (* z (cos y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
5.0ms
(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
2.0ms
(cbrt (* z (cos y)))
2.0ms
(cbrt (* z (cos y)))
2.0ms
(cbrt (* z (cos y)))

series100.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
22.0ms
(cbrt (* z (cos y)))
24.0ms
(cbrt (* z (cos y)))
23.0ms
(cbrt (* z (cos y)))

simplify88.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0183458
1597407
22879365
35002343

prune94.0ms

Filtered
53 candidates to 70 candidates (-32.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New69170
Fresh044
Picked011
Done011
Total69776

Merged error: 0b

Counts
76 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* z (cos y)))
0.6b
(cbrt (cbrt (* z (cos y))))
0.6b
(cbrt (cbrt (* z (cos y))))
0.6b
(cbrt (cbrt (* z (cos y))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 45
Calls
4 calls:
2.0ms
(cbrt (* z (cos y)))
2.0ms
(cbrt (cbrt (* z (cos y))))
2.0ms
(cbrt (cbrt (* z (cos y))))
2.0ms
(cbrt (cbrt (* z (cos y))))

series104.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt (* z (cos y)))
26.0ms
(cbrt (cbrt (* z (cos y))))
28.0ms
(cbrt (cbrt (* z (cos y))))
27.0ms
(cbrt (cbrt (* z (cos y))))

simplify37.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (32.0ms)

IterNodesCost
0127421
1288387
2966354
35001327

prune84.0ms

Filtered
49 candidates to 57 candidates (-16.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New57057
Fresh044
Picked011
Done022
Total57764

Merged error: 0b

Counts
64 → 7

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)))

rewrite16.0ms

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)))

simplify79.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0157356
1711312
22827306
35001306

prune58.0ms

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

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New80181
Fresh123
Picked011
Done123
Total82688

Merged error: 0b

Counts
88 → 6

regimes260.0ms

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
0115
1115

end0.0ms

analyze384.0ms

Algorithm
search

sample1.4s

Algorithm
intervals
Results
494.0ms996×body1280valid
384.0ms5622×body80valid
236.0ms779×body640valid
83.0ms374×body320valid
33.0ms229×body160valid

Profiling

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