Details

Time bar (total: 4.6s)

sample56.0ms

Algorithm
intervals
Results
22.0ms47×body1280valid
12.0ms44×body640valid
7.0ms134×body80valid
3.0ms20×body320valid
1.0ms11×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1115

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
7×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l*
5×add-log-exp
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-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))

series138.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(+ (* x (cos y)) (* z (sin y)))
40.0ms
(* z (sin y))
35.0ms
(* x (cos y))

simplify70.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0183248
1698227
22213227
35001227

prune133.0ms

Filtered
56 candidates to 39 candidates (69.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite15.0ms

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 (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))

series384.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
91.0ms
(cbrt (sin y))
91.0ms
(cbrt (sin y))
93.0ms
(cbrt (sin y))

simplify96.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0154453
1551401
23082369
35002363

prune245.0ms

Filtered
85 candidates to 60 candidates (70.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 47
Calls
4 calls:
2.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
2.0ms
(cbrt (cbrt (sin y)))

series386.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(cbrt (sin y))
95.0ms
(cbrt (sin y))
102.0ms
(cbrt (sin y))
93.0ms
(cbrt (cbrt (sin y)))

simplify64.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
0108284
1221262
2581254
31891254
45001254

prune242.0ms

Filtered
59 candidates to 48 candidates (81.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

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

series724.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(* (cbrt x) (cbrt x))
172.0ms
(cbrt x)
174.0ms
(cbrt x)
178.0ms
(cbrt x)

simplify89.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune225.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes115.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02120
12120

end0.0ms

sample1.6s

Algorithm
intervals
Results
652.0ms1562×body1280valid
317.0ms1250×body640valid
241.0ms4274×body80valid
110.0ms615×body320valid
36.0ms299×body160valid