Details

Time bar (total: 16.2s)

sample86.0ms

Algorithm
intervals
Results
37.0ms33×body1280valid
17.0ms176×body80valid
12.0ms27×body640valid
4.0ms12×body320valid
1.0ms8×body160valid

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done5000
92191
8773
7280
6110
551
442
336
228
114
08

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
7×add-log-exp
6×add-sqr-sqrt
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
3×associate-*r* associate-*l*
2×diff-log
1×sum-log sub-neg flip3-- pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod flip-- unswap-sqr
Counts
2 → 32
Calls
2 calls:
36.0ms
(- (+ x (cos y)) (* z (sin y)))
7.0ms
(* z (sin y))

series101.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(- (+ x (cos y)) (* z (sin y)))
49.0ms
(* z (sin y))

simplify1.7s

Counts
38 → 38
Iterations
IterNodes
done5000
32660
2526
1156
067

prune232.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
7.5b
(cbrt (* z (sin y)))
7.5b
(cbrt (* z (sin y)))
7.5b
(cbrt (* z (sin y)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×add-cbrt-cube swap-sqr associate-*r* associate-*l* add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
25.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
6.0ms
(cbrt (* z (sin y)))
7.0ms
(cbrt (* z (sin y)))
7.0ms
(cbrt (* z (sin y)))

series644.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
135.0ms
(cbrt (* z (sin y)))
171.0ms
(cbrt (* z (sin y)))
143.0ms
(cbrt (* z (sin y)))

simplify1.2s

Counts
70 → 70
Iterations
IterNodes
done5000
2860
1213
087

prune431.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sin y))
0.6b
(cbrt z)
7.5b
(cbrt (* z (sin y)))
7.5b
(cbrt (* z (sin y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
Counts
4 → 40
Calls
4 calls:
1.0ms
(cbrt (sin y))
1.0ms
(cbrt z)
5.0ms
(cbrt (* z (sin y)))
5.0ms
(cbrt (* z (sin y)))

series677.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(cbrt (sin y))
212.0ms
(cbrt z)
173.0ms
(cbrt (* z (sin y)))
166.0ms
(cbrt (* z (sin y)))

simplify1.2s

Counts
52 → 52
Iterations
IterNodes
done5000
31520
2440
1166
081

prune421.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize115.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt z))
0.6b
(cbrt (* (cbrt z) (cbrt z)))
7.5b
(cbrt (* z (sin y)))
7.5b
(cbrt (* z (sin y)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
Counts
4 → 41
Calls
4 calls:
2.0ms
(cbrt (cbrt z))
8.0ms
(cbrt (* (cbrt z) (cbrt z)))
7.0ms
(cbrt (* z (sin y)))
7.0ms
(cbrt (* z (sin y)))

series1.2s

Counts
4 → 12
Calls
4 calls:
375.0ms
(cbrt (cbrt z))
469.0ms
(cbrt (* (cbrt z) (cbrt z)))
173.0ms
(cbrt (* z (sin y)))
222.0ms
(cbrt (* z (sin y)))

simplify2.2s

Counts
53 → 53
Iterations
IterNodes
done5001
44967
31258
2388
1157
083

prune507.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes607.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.1s5576×body80valid
851.0ms1013×body1280valid
404.0ms820×body640valid
209.0ms399×body320valid
39.0ms191×body160valid
2.0ms1×body2560valid