Details

Time bar (total: 18.5s)

sample70.0ms

Algorithm
intervals
Results
23.0ms48×body1280valid
15.0ms46×body640valid
9.0ms128×body80valid
6.0ms26×body320valid
1.0ms8×body160valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done15
215
112
08

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
6×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
2×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
2 → 40
Calls
2 calls:
13.0ms
(* z (cos y))
14.0ms
(* x (sin y))

series123.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(* z (cos y))
66.0ms
(* x (sin y))

simplify1.9s

Counts
46 → 46
Iterations
IterNodes
done5000
31476
2383
1130
065

prune232.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (cos y)) (* (cbrt (cos y)) z))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
9×add-sqr-sqrt pow1 *-un-lft-identity add-exp-log add-cube-cbrt
6×add-cbrt-cube associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 62
Calls
4 calls:
19.0ms
(* (cbrt (cos y)) (* (cbrt (cos y)) z))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))

series497.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(* (cbrt (cos y)) (* (cbrt (cos y)) z))
127.0ms
(cbrt (cos y))
100.0ms
(cbrt (cos y))
114.0ms
(cbrt (cos y))

simplify2.3s

Counts
74 → 74
Iterations
IterNodes
done5000
33662
2589
1146
062

prune523.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize94.0ms

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))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
2.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))

series598.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(cbrt (cos y))
136.0ms
(cbrt (cos y))
135.0ms
(cbrt (cos y))
184.0ms
(cbrt (cos y))

simplify3.1s

Counts
64 → 64
Iterations
IterNodes
done5000
44323
3673
2172
153
029

prune408.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize84.0ms

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))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
2.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))

series590.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(cbrt (cos y))
137.0ms
(cbrt (cos y))
184.0ms
(cbrt (cos y))
137.0ms
(cbrt (cos y))

simplify3.1s

Counts
64 → 64
Iterations
IterNodes
done5000
44323
3673
2172
153
029

prune550.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes313.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done16
116
011

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.4s1519×body1280valid
1.0s4297×body80valid
656.0ms1232×body640valid
238.0ms620×body320valid
73.0ms332×body160valid