Details

Time bar (total: 4.5s)

sample58.0ms

Algorithm
intervals
Results
27.0ms60×body1280valid
9.0ms36×body640valid
7.0ms132×body80valid
3.0ms17×body320valid
1.0ms11×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1115

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*r* associate-*l*
add-log-exp
pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
+-commutative flip3-+ sum-log flip-+
Counts
3 → 47
Calls
3 calls:
4.0ms
(+ (* x (cos y)) (* z (sin y)))
4.0ms
(* z (sin y))
4.0ms
(* x (cos y))

series142.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(+ (* x (cos y)) (* z (sin y)))
40.0ms
(* z (sin y))
38.0ms
(* x (cos y))

simplify73.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0183248
1698227
22213227
35001227

prune147.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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
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))

series450.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
97.0ms
(cbrt (cos y))
100.0ms
(cbrt (cos y))
97.0ms
(cbrt (cos y))

simplify100.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0122441
1481389
23180357
35001351

prune276.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×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 → 44
Calls
4 calls:
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series404.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(cbrt (cos y))
102.0ms
(cbrt (cos y))
99.0ms
(cbrt (cos y))
97.0ms
(cbrt (cos y))

simplify106.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 4 (102.0ms)

IterNodesCost
047232
1139212
2435204
32152204
45001200

prune246.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×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 → 44
Calls
4 calls:
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series402.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(cbrt (cos y))
99.0ms
(cbrt (cos y))
100.0ms
(cbrt (cos y))
99.0ms
(cbrt (cos y))

simplify105.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 4 (102.0ms)

IterNodesCost
047232
1139212
2435204
32152204
45001200

prune237.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes169.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02120
12120

end0.0ms

sample1.5s

Algorithm
intervals
Results
627.0ms1535×body1280valid
312.0ms1247×body640valid
238.0ms4307×body80valid
103.0ms596×body320valid
37.0ms315×body160valid