Details

Time bar (total: 5.1s)

sample56.0ms

Algorithm
intervals
Results
16.0ms31×body1280valid
16.0ms182×body80valid
9.0ms26×body640valid
3.0ms12×body320valid
1.0ms5×body160valid

simplify22.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1285
2375
3435
4525
5665
61015
71665
82125
92365
102505
112705
122705

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
12×add-sqr-sqrt
10×add-log-exp
5×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
4×distribute-lft-out--
3×associate-*r* distribute-lft-out
2×+-commutative diff-log associate--l+ sum-log difference-of-squares unswap-sqr
1×sub-neg flip3-- flip3-+ pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+
Counts
3 → 51
Calls
3 calls:
3.0ms
(+ x (cos y))
11.0ms
(- (+ x (cos y)) (* z (sin y)))
4.0ms
(* z (sin y))

series116.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(+ x (cos y))
50.0ms
(- (+ x (cos y)) (* z (sin y)))
40.0ms
(* z (sin y))

simplify71.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0205309
1672293
22634293
35001293

prune111.0ms

Filtered
60 candidates to 41 candidates (68.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New55560
Fresh000
Picked011
Done000
Total55661

Merged error: 0.0b

Counts
61 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
8×add-cbrt-cube
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×cbrt-unprod add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative
Counts
4 → 76
Calls
4 calls:
6.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series721.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(* (cbrt z) (cbrt z))
178.0ms
(cbrt z)
171.0ms
(cbrt z)
172.0ms
(cbrt z)

simplify87.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0124311
1521267
23234241
35002238

prune198.0ms

Filtered
88 candidates to 64 candidates (72.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New87188
Fresh134
Picked011
Done011
Total88694

Merged error: 0.0b

Counts
94 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.6b
(cbrt (cbrt z))
0.6b
(cbrt (cbrt z))
0.6b
(cbrt (cbrt z))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt z)
2.0ms
(cbrt (cbrt z))
2.0ms
(cbrt (cbrt z))
2.0ms
(cbrt (cbrt z))

series911.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt z)
249.0ms
(cbrt (cbrt z))
245.0ms
(cbrt (cbrt z))
236.0ms
(cbrt (cbrt z))

simplify57.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
071261
1141243
2357235
31368235
45001235

prune227.0ms

Filtered
65 candidates to 62 candidates (95.4%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New65065
Fresh033
Picked011
Done022
Total65671

Merged error: 0.0b

Counts
71 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (- (+ x (cos y)) (* z (sin y)))) (cbrt (- (+ x (cos y)) (* z (sin y)))))
0.5b
(cbrt (- (+ x (cos y)) (* z (sin y))))
0.5b
(cbrt (- (+ x (cos y)) (* z (sin y))))
0.5b
(cbrt (- (+ x (cos y)) (* z (sin y))))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
173×*-un-lft-identity
107×cbrt-prod
60×distribute-lft-out--
58×add-sqr-sqrt
42×associate-*l*
32×swap-sqr
30×distribute-lft-out
18×cbrt-div
15×add-cube-cbrt
14×difference-of-squares
12×associate-*r*
11×pow1 unswap-sqr
9×flip3-- pow1/3 flip--
8×add-cbrt-cube
6×add-exp-log
4×frac-times cbrt-unprod add-log-exp
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative
Counts
4 → 146
Calls
4 calls:
29.0ms
(* (cbrt (- (+ x (cos y)) (* z (sin y)))) (cbrt (- (+ x (cos y)) (* z (sin y)))))
10.0ms
(cbrt (- (+ x (cos y)) (* z (sin y))))
10.0ms
(cbrt (- (+ x (cos y)) (* z (sin y))))
10.0ms
(cbrt (- (+ x (cos y)) (* z (sin y))))

series745.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(* (cbrt (- (+ x (cos y)) (* z (sin y)))) (cbrt (- (+ x (cos y)) (* z (sin y)))))
184.0ms
(cbrt (- (+ x (cos y)) (* z (sin y))))
183.0ms
(cbrt (- (+ x (cos y)) (* z (sin y))))
186.0ms
(cbrt (- (+ x (cos y)) (* z (sin y))))

simplify54.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03432387
112482257
250021906

prune296.0ms

Filtered
158 candidates to 87 candidates (55.1%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1553158
Fresh112
Picked011
Done033
Total1568164

Merged error: 0b

Counts
164 → 8

regimes151.0ms

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
0105
1105

end0.0ms

sample1.2s

Algorithm
intervals
Results
391.0ms977×body1280valid
290.0ms5627×body80valid
208.0ms787×body640valid
69.0ms418×body320valid
22.0ms191×body160valid