Details

Time bar (total: 48.5s)

sample139.0ms

Algorithm
intervals
Results
52.0ms57×body640valid
36.0ms41×body1280valid
17.0ms131×body80valid
7.0ms17×body320valid
3.0ms10×body160valid

simplify11.0ms

Counts
1 → 1
Iterations
IterNodes
done11
111
08

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 3 expressions with local error:

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

rewrite86.0ms

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:
21.0ms
(+ (* x (cos y)) (* z (sin y)))
42.0ms
(* x (cos y))
20.0ms
(* z (sin y))

series299.0ms

Counts
3 → 9
Calls
3 calls:
141.0ms
(+ (* x (cos y)) (* z (sin y)))
81.0ms
(* x (cos y))
77.0ms
(* z (sin y))

simplify4.0s

Counts
56 → 56
Iterations
IterNodes
done5001
31547
2499
1190
081

prune707.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize76.0ms

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))

rewrite71.0ms

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:
26.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
3.0ms
(cbrt (sin y))
3.0ms
(cbrt (sin y))
4.0ms
(cbrt (sin y))

series844.0ms

Counts
4 → 12
Calls
4 calls:
271.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
187.0ms
(cbrt (sin y))
190.0ms
(cbrt (sin y))
197.0ms
(cbrt (sin y))

simplify5.3s

Counts
85 → 85
Iterations
IterNodes
done5000
31329
2468
1175
075

prune1.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize77.0ms

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)

rewrite42.0ms

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:
32.0ms
(* (cbrt z) (cbrt z))
2.0ms
(cbrt z)
2.0ms
(cbrt z)
2.0ms
(cbrt z)

series3.2s

Counts
4 → 12
Calls
4 calls:
1.9s
(* (cbrt z) (cbrt z))
363.0ms
(cbrt z)
368.0ms
(cbrt z)
489.0ms
(cbrt z)

simplify12.6s

Counts
85 → 85
Iterations
IterNodes
done5002
43625
31001
2372
1137
061

prune1.5s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize119.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 45
Calls
4 calls:
2.0ms
(cbrt z)
2.0ms
(cbrt z)
3.0ms
(cbrt (cbrt z))
12.0ms
(cbrt (* (cbrt z) (cbrt z)))

series2.6s

Counts
4 → 12
Calls
4 calls:
497.0ms
(cbrt z)
896.0ms
(cbrt z)
573.0ms
(cbrt (cbrt z))
577.0ms
(cbrt (* (cbrt z) (cbrt z)))

simplify4.6s

Counts
57 → 57
Iterations
IterNodes
done5000
41746
3639
2264
1113
058

prune735.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

regimes999.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done19
119
014

end0.0ms

sample9.0s

Algorithm
intervals
Results
3.5s1497×body1280valid
3.0s1262×body640valid
1.4s4329×body80valid
552.0ms602×body320valid
189.0ms310×body160valid