Details

Time bar (total: 17.3s)

sample51.0ms

Algorithm
intervals
Results
15.0ms259×body80valid
11.0ms239×body80nan

simplify1.3s

Counts
1 → 1
Iterations
IterNodes
done5001
41007
3189
261
121
010

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b
(+ (- x (* (+ y 0.5) (log y))) y)
0.2b
(* (+ y 0.5) (log y))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity
8×add-sqr-sqrt
7×add-log-exp
6×log-prod add-cube-cbrt
5×pow1
4×add-cbrt-cube associate-*r* associate-*l* add-exp-log
3×distribute-rgt-in distribute-lft-in
2×associate-+l+ sum-log flip3-+ associate-*l/ flip-+ distribute-lft-out
1×+-commutative sub-neg diff-log pow-prod-down prod-exp log-pow *-commutative associate-+l- cbrt-unprod unswap-sqr
Counts
2 → 44
Calls
2 calls:
25.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
37.0ms
(* (+ y 0.5) (log y))

series412.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
343.0ms
(* (+ y 0.5) (log y))

simplify1.2s

Counts
50 → 50
Iterations
IterNodes
done5002
21132
1311
0114

prune364.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite21.0ms

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 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:
16.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.1s

Counts
4 → 12
Calls
4 calls:
296.0ms
(* (cbrt y) (cbrt y))
303.0ms
(cbrt y)
297.0ms
(cbrt y)
241.0ms
(cbrt y)

simplify1.4s

Counts
85 → 85
Iterations
IterNodes
done5000
2727
1138
061

prune612.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
5.0b
(pow y 1/3)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×cbrt-prod
16×*-un-lft-identity add-cube-cbrt
12×pow1
8×pow1/3
7×add-exp-log
6×swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
3×pow-unpow unpow-prod-down
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-to-exp pow-pow pow-plus unpow1/3 pow-exp prod-exp *-commutative cbrt-unprod sqr-pow
Counts
4 → 80
Calls
4 calls:
17.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
2.0ms
(pow y 1/3)

series1.2s

Counts
4 → 12
Calls
4 calls:
348.0ms
(* (cbrt y) (cbrt y))
276.0ms
(cbrt y)
298.0ms
(cbrt y)
298.0ms
(pow y 1/3)

simplify2.6s

Counts
92 → 92
Iterations
IterNodes
done5000
21955
1254
089

prune579.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
1.0b
(* (cbrt 1/3) (cbrt 1/3))
3.9b
(pow y (* (cbrt 1/3) (cbrt 1/3)))
5.2b
(pow (pow y (* (cbrt 1/3) (cbrt 1/3))) (cbrt 1/3))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×cbrt-prod
18×*-un-lft-identity add-cube-cbrt
13×unpow-prod-down
12×pow1
9×add-exp-log
7×pow-unpow pow1/3
6×swap-sqr associate-*r* associate-*l*
5×pow-exp
4×add-cbrt-cube add-log-exp unswap-sqr
3×pow-to-exp sqr-pow
2×pow-pow pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 92
Calls
4 calls:
1.0ms
(cbrt y)
9.0ms
(* (cbrt 1/3) (cbrt 1/3))
2.0ms
(pow y (* (cbrt 1/3) (cbrt 1/3)))
5.0ms
(pow (pow y (* (cbrt 1/3) (cbrt 1/3))) (cbrt 1/3))

series1.6s

Counts
4 → 10
Calls
4 calls:
263.0ms
(cbrt y)
0.0ms
(* (cbrt 1/3) (cbrt 1/3))
361.0ms
(pow y (* (cbrt 1/3) (cbrt 1/3)))
1.0s
(pow (pow y (* (cbrt 1/3) (cbrt 1/3))) (cbrt 1/3))

simplify1.7s

Counts
102 → 102
Iterations
IterNodes
done5000
22182
1360
0123

prune673.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes371.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done13
113
010

end0.0ms

sample1.6s

Algorithm
intervals
Results
601.0ms8034×body80valid
484.0ms7770×body80nan
1.0ms2×body1280valid