Details

Time bar (total: 4.7s)

sample43.0ms

Algorithm
intervals
Results
10.0ms188×body80valid
10.0ms24×body1280valid
6.0ms24×body640valid
3.0ms15×body320valid
1.0ms5×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0135
1205
2225
3225

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize14.0ms

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))

series121.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(+ x (sin y))
49.0ms
(+ (+ x (sin y)) (* z (cos y)))
43.0ms
(* z (cos y))

simplify67.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0196244
1694228
22608228
35001228

prune315.0ms

Filtered
52 candidates to 37 candidates (28.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New47552
Fresh000
Picked011
Done000
Total47653

Merged error: 0.0b

Counts
53 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (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)))

series618.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
146.0ms
(cbrt (* z (cos y)))
146.0ms
(cbrt (* z (cos y)))
150.0ms
(cbrt (* z (cos y)))

simplify123.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (118.0ms)

IterNodesCost
0175423
1691372
23601342
35002317

prune248.0ms

Filtered
70 candidates to 52 candidates (25.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New69170
Fresh134
Picked011
Done011
Total70676

Merged error: 0.0b

Counts
76 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 36
Calls
4 calls:
2.0ms
(cbrt (* z (cos y)))
2.0ms
(cbrt (* z (cos y)))
2.0ms
(cbrt (* z (cos y)))
2.0ms
(cbrt (* z (cos y)))

series591.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(cbrt (* z (cos y)))
147.0ms
(cbrt (* z (cos y)))
145.0ms
(cbrt (* z (cos y)))
150.0ms
(cbrt (* z (cos y)))

simplify151.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 3 (24.0ms)

IterNodesCost
070260
1170232
2665220
34017204
45001204

prune206.0ms

Filtered
48 candidates to 40 candidates (16.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New48048
Fresh033
Picked011
Done022
Total48654

Merged error: 0.0b

Counts
54 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

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

series140.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* z (sqrt (cos y)))
20.0ms
(sqrt (cos y))
17.0ms
(sqrt (cos y))
44.0ms
(* (* z (sqrt (cos y))) (sqrt (cos y)))

simplify79.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0157356
1711312
22827306
35001306

prune198.0ms

Filtered
81 candidates to 50 candidates (38.3%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New80181
Fresh022
Picked011
Done033
Total80787

Merged error: 0.0b

Counts
87 → 7

regimes279.0ms

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
0115
1115

end0.0ms

sample1.3s

Algorithm
intervals
Results
408.0ms970×body1280valid
304.0ms5597×body80valid
210.0ms801×body640valid
79.0ms430×body320valid
33.0ms201×body160valid
1.0ms1×body2560valid

Profiling

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