Details

Time bar (total: 4.2s)

sample44.0ms

Algorithm
intervals
Results
14.0ms188×body80valid
12.0ms30×body1280valid
6.0ms23×body640valid
2.0ms10×body320valid
1.0msbody160valid

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: 0.1b

Counts
2 → 1

localize9.0ms

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))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
add-sqr-sqrt *-un-lft-identity
pow1 add-exp-log add-cube-cbrt add-cbrt-cube
sum-log
associate-*r* associate-*l*
+-commutative flip3-+ flip-+
associate-+l+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 43
Calls
3 calls:
4.0ms
(+ x (sin y))
7.0ms
(+ (+ x (sin y)) (* z (cos y)))
4.0ms
(* z (cos y))

series104.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(+ x (sin y))
43.0ms
(+ (+ x (sin y)) (* z (cos y)))
36.0ms
(* z (cos y))

simplify69.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0196244
1694228
22608228
35001228

prune109.0ms

Filtered
52 candidates to 37 candidates (71.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New47552
Fresh000
Picked011
Done000
Total47653

Merged error: 0.0b

Counts
53 → 6

localize12.0ms

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))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
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))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series451.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
102.0ms
(cbrt (cos y))
96.0ms
(cbrt (cos y))
95.0ms
(cbrt (cos y))

simplify101.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0122441
1481389
23180357
35001351

prune209.0ms

Filtered
85 candidates to 60 candidates (70.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New83285
Fresh044
Picked011
Done011
Total83891

Merged error: 0.0b

Counts
91 → 8

localize15.0ms

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))

rewrite25.0ms

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
pow-exp
pow1 cbrt-unprod
cbrt-prod unswap-sqr
pow-to-exp sqr-pow
associate-*l* add-log-exp
pow-unpow unpow2
unpow1/3 *-commutative
pow-pow pow1/3 pow-prod-down
Counts
4 → 90
Calls
4 calls:
8.0ms
(* z (pow (pow (cos y) 2) 1/3))
10.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series249.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(* z (pow (pow (cos y) 2) 1/3))
36.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
17.0ms
(pow (cos y) 2)
102.0ms
(cbrt (cos y))

simplify46.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0320572
11417499
25002468

prune235.0ms

Filtered
102 candidates to 61 candidates (59.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New993102
Fresh235
Picked101
Done112
Total1037110

Merged error: 0.0b

Counts
110 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 45
Calls
4 calls:
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
2.0ms
(cbrt (cbrt (cos y)))
5.0ms
(cbrt (* (cbrt (cos y)) (cbrt (cos y))))

series411.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(cbrt (cos y))
97.0ms
(cbrt (cos y))
99.0ms
(cbrt (cbrt (cos y)))
118.0ms
(cbrt (* (cbrt (cos y)) (cbrt (cos y))))

simplify217.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 4 (212.0ms)

IterNodesCost
0103302
1262272
2833261
34534261
45003256

prune214.0ms

Filtered
57 candidates to 46 candidates (80.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New57057
Fresh055
Picked011
Done011
Total57764

Merged error: 0.0b

Counts
64 → 7

regimes141.0ms

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

sample1.4s

Algorithm
intervals
Results
503.0ms5589×body80valid
425.0ms971×body1280valid
211.0ms787×body640valid
78.0ms424×body320valid
29.0ms229×body160valid

Profiling

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