Details

Time bar (total: 3.6s)

sample39.0ms

Algorithm
intervals
Results
10.0ms26×body1280valid
9.0ms179×body80valid
7.0ms25×body640valid
3.0ms17×body320valid
1.0ms9×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

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b
(* z (cos y))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
1×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 18
Calls
1 calls:
4.0ms
(* z (cos y))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(* z (cos y))

simplify57.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
06072
121962
251662
379662
4189262
5500262

prune42.0ms

Filtered
21 candidates to 14 candidates (66.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New17421
Fresh000
Picked011
Done000
Total17522

Merged error: 0.0b

Counts
22 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (cos y)) (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×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))
2.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series470.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
93.0ms
(cbrt (cos y))
104.0ms
(cbrt (cos y))
123.0ms
(cbrt (cos y))

simplify124.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (117.0ms)

IterNodesCost
0122441
1481389
23180357
35001351

prune225.0ms

Filtered
85 candidates to 60 candidates (70.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New82385
Fresh123
Picked011
Done011
Total83790

Merged error: 0b

Counts
90 → 7

localize10.0ms

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)))

series114.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (cos y))
14.0ms
(sqrt (cos y))
50.0ms
(* z (sqrt (cos y)))
35.0ms
(* (* z (sqrt (cos y))) (sqrt (cos y)))

simplify77.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0157356
1711312
22827306
35001306

prune158.0ms

Filtered
81 candidates to 50 candidates (61.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New80181
Fresh134
Picked011
Done022
Total81788

Merged error: 0b

Counts
88 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (* (pow (cos y) 1/3) (pow (cos y) 1/3)))
0.1b
(* (* z (* (pow (cos y) 1/3) (pow (cos y) 1/3))) (cbrt (cos y)))
0.1b
(* (pow (cos y) 1/3) (pow (cos y) 1/3))
0.3b
(cbrt (cos y))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
74×add-exp-log
58×prod-exp
29×add-sqr-sqrt add-cbrt-cube
28×cbrt-unprod
18×pow-to-exp unpow-prod-down pow-exp
16×add-cube-cbrt *-un-lft-identity
14×associate-*r*
12×unpow1/3
11×pow1 associate-*l*
10×unswap-sqr sqr-pow
7×swap-sqr
6×cbrt-prod
5×pow-prod-down
4×add-log-exp
3×*-commutative
1×pow2 pow1/3 pow-sqr pow-prod-up
Counts
4 → 129
Calls
4 calls:
8.0ms
(* z (* (pow (cos y) 1/3) (pow (cos y) 1/3)))
11.0ms
(* (* z (* (pow (cos y) 1/3) (pow (cos y) 1/3))) (cbrt (cos y)))
7.0ms
(* (pow (cos y) 1/3) (pow (cos y) 1/3))
1.0ms
(cbrt (cos y))

series421.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(* z (* (pow (cos y) 1/3) (pow (cos y) 1/3)))
39.0ms
(* (* z (* (pow (cos y) 1/3) (pow (cos y) 1/3))) (cbrt (cos y)))
170.0ms
(* (pow (cos y) 1/3) (pow (cos y) 1/3))
120.0ms
(cbrt (cos y))

simplify60.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0358901
11540645
25001611

prune227.0ms

Filtered
141 candidates to 69 candidates (48.9%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1410141
Fresh033
Picked011
Done033
Total1417148

Merged error: 0b

Counts
148 → 7

regimes130.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample1.3s

Algorithm
intervals
Results
446.0ms971×body1280valid
324.0ms5625×body80valid
234.0ms794×body640valid
80.0ms418×body320valid
27.0ms192×body160valid