Details

Time bar (total: 3.6s)

sample44.0ms

Algorithm
intervals
Results
14.0ms32×body1280valid
10.0ms177×body80valid
7.0ms26×body640valid
3.0ms15×body320valid
1.0ms6×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0135
1205
2225
3225

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x (sin y)) (* z (cos y)))
0.0b
(+ x (sin 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:
6.0ms
(+ (+ x (sin y)) (* z (cos y)))
4.0ms
(+ x (sin y))
4.0ms
(* z (cos y))

series102.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(+ (+ x (sin y)) (* z (cos y)))
25.0ms
(+ x (sin y))
40.0ms
(* z (cos y))

simplify74.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0196244
1694228
22608228
35001228

prune111.0ms

Filtered
52 candidates to 37 candidates (71.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New46652
Fresh000
Picked101
Done000
Total47653

Merged error: 0b

Counts
53 → 6

localize29.0ms

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)))

rewrite19.0ms

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))))
4.0ms
(cbrt (* z (cos y)))
4.0ms
(cbrt (* z (cos y)))
4.0ms
(cbrt (* z (cos y)))

series543.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
126.0ms
(cbrt (* z (cos y)))
122.0ms
(cbrt (* z (cos y)))
122.0ms
(cbrt (* z (cos y)))

simplify118.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (112.0ms)

IterNodesCost
0175423
1691372
23601342
35001317

prune179.0ms

Filtered
70 candidates to 52 candidates (74.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New70070
Fresh055
Picked011
Done000
Total70676

Merged error: 0b

Counts
76 → 6

localize17.0ms

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)))

rewrite21.0ms

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)))

series219.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (cbrt (+ x (sin y))) (cbrt (+ x (sin y))))
59.0ms
(cbrt (+ x (sin y)))
58.0ms
(cbrt (+ x (sin y)))
54.0ms
(cbrt (+ x (sin y)))

simplify49.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
03411022
11271971
25001904

prune291.0ms

Filtered
107 candidates to 75 candidates (70.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh044
Picked011
Done011
Total1076113

Merged error: 0b

Counts
113 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

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

series115.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (cos y))
14.0ms
(sqrt (cos y))
51.0ms
(* z (sqrt (cos y)))
35.0ms
(* (* z (sqrt (cos y))) (sqrt (cos y)))

simplify80.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0157356
1711312
22827306
35001306

prune157.0ms

Filtered
81 candidates to 51 candidates (63.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New81081
Fresh033
Picked011
Done022
Total81687

Merged error: 0b

Counts
87 → 6

regimes81.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01514
11514

end0.0ms

sample1.3s

Algorithm
intervals
Results
417.0ms946×body1280valid
323.0ms5627×body80valid
226.0ms818×body640valid
77.0ms403×body320valid
27.0ms206×body160valid

Profiling

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