Details

Time bar (total: 39.9s)

sample110.0ms

Algorithm
intervals
Results
30.0ms34×body1280valid
22.0ms178×body80valid
14.0ms25×body640valid
4.0ms11×body320valid
2.0ms8×body160valid

simplify78.0ms

Counts
1 → 1
Iterations
IterNodes
done20
320
219
113
08

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
3×associate-*r* associate-*l*
2×insert-posit16
1×+-commutative sum-log flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 32
Calls
2 calls:
10.0ms
(+ x (sin y))
12.0ms
(* z (cos y))

series145.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(+ x (sin y))
100.0ms
(* z (cos y))

simplify7.5s

Counts
38 → 38
Iterations
IterNodes
done5004
54063
41824
3707
2301
1132
058

prune564.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube insert-posit16 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 → 77
Calls
4 calls:
30.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))
3.0ms
(cbrt (cos y))

series1.0s

Counts
4 → 12
Calls
4 calls:
405.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
202.0ms
(cbrt (cos y))
186.0ms
(cbrt (cos y))
212.0ms
(cbrt (cos y))

simplify9.9s

Counts
89 → 89
Iterations
IterNodes
done5004
44445
31186
2352
1145
066

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* (cos y) (cos y)) 1/3)
0.1b
(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
0.2b
(* (cos y) (cos y))
0.3b
(cbrt (cos y))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
21×pow1
14×add-sqr-sqrt
12×*-un-lft-identity prod-exp add-cube-cbrt
10×add-cbrt-cube
9×associate-*r*
6×cbrt-prod pow-pow cbrt-unprod
4×associate-*l* pow-exp insert-posit16 add-log-exp
3×pow-unpow swap-sqr pow-prod-down
2×pow2 pow-to-exp pow-plus unpow1/3 pow-sqr *-commutative pow-prod-up
1×sqr-cos unpow-prod-down pow1/3 cos-mult unswap-sqr sqr-pow
Counts
4 → 88
Calls
4 calls:
15.0ms
(pow (* (cos y) (cos y)) 1/3)
83.0ms
(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
34.0ms
(* (cos y) (cos y))
4.0ms
(cbrt (cos y))

series687.0ms

Counts
4 → 12
Calls
4 calls:
330.0ms
(pow (* (cos y) (cos y)) 1/3)
80.0ms
(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
38.0ms
(* (cos y) (cos y))
238.0ms
(cbrt (cos y))

simplify7.4s

Counts
100 → 100
Iterations
IterNodes
done5002
33830
21277
1358
0132

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize96.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cbrt (* (cos y) (cos y))) (cbrt (cos y)))
0.2b
(* (cos y) (cos y))
0.3b
(cbrt (* (cos y) (cos y)))
0.3b
(cbrt (cos y))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
13×cbrt-prod pow1
12×*-un-lft-identity add-cube-cbrt
9×associate-*r*
8×add-exp-log
7×associate-*l*
6×add-cbrt-cube
5×unswap-sqr
4×pow1/3 insert-posit16 add-log-exp
3×swap-sqr pow-prod-down cos-mult
2×cbrt-div prod-exp *-commutative cbrt-unprod
1×pow2 sqr-cos pow-plus pow3 associate-*l/ pow-sqr pow-prod-up
Counts
4 → 80
Calls
4 calls:
32.0ms
(* (cbrt (* (cos y) (cos y))) (cbrt (cos y)))
26.0ms
(* (cos y) (cos y))
8.0ms
(cbrt (* (cos y) (cos y)))
2.0ms
(cbrt (cos y))

series574.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* (cbrt (* (cos y) (cos y))) (cbrt (cos y)))
41.0ms
(* (cos y) (cos y))
319.0ms
(cbrt (* (cos y) (cos y)))
196.0ms
(cbrt (cos y))

simplify4.1s

Counts
92 → 92
Iterations
IterNodes
done5001
31841
2699
1253
0109

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes916.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done11
111
08

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.2s5567×body80valid
790.0ms992×body1280valid
471.0ms829×body640valid
125.0ms403×body320valid
48.0ms209×body160valid