Details

Time bar (total: 4.8s)

sample52.0ms

Algorithm
intervals
Results
20.0ms48×body1280valid
10.0ms39×body640valid
8.0ms142×body80valid
3.0ms19×body320valid
1.0msbody160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1115

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
2 → 36
Calls
2 calls:
3.0ms
(* x (sin y))
3.0ms
(* z (cos y))

series77.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* x (sin y))
40.0ms
(* z (cos y))

simplify93.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0118145
1439125
21037125
31579125
43660125
55002125

prune113.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin y)) (cbrt (sin y)))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin 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:
8.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))

series404.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
94.0ms
(cbrt (sin y))
96.0ms
(cbrt (sin y))
97.0ms
(cbrt (sin y))

simplify93.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0154453
1551401
23082369
35002363

prune276.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
10×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 → 42
Calls
4 calls:
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
3.0ms
(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

series416.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(cbrt (sin y))
99.0ms
(cbrt (sin y))
100.0ms
(cbrt (sin y))
118.0ms
(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

simplify111.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 4 (107.0ms)

IterNodesCost
0111274
1241246
2762235
32830235
45002232

prune249.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite9.0ms

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:
5.0ms
(* (cbrt x) (cbrt x))
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series761.0ms

Counts
4 → 12
Calls
4 calls:
210.0ms
(* (cbrt x) (cbrt x))
183.0ms
(cbrt x)
189.0ms
(cbrt x)
179.0ms
(cbrt x)

simplify89.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune275.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes114.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01512
11512

end0.0ms

sample1.5s

Algorithm
intervals
Results
633.0ms1521×body1280valid
322.0ms1211×body640valid
244.0ms4350×body80valid
101.0ms595×body320valid
38.0ms323×body160valid