Details

Time bar (total: 22.3s)

sample53.0ms

Algorithm
intervals
Results
19.0ms258×body80valid
9.0ms228×body80nan

simplify3.1s

Counts
1 → 1
Iterations
IterNodes
done5000
63919
51752
4591
3184
261
121
010

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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:
16.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
17.0ms
(* (+ y 0.5) (log y))

series350.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
298.0ms
(* (+ y 0.5) (log y))

simplify2.8s

Counts
50 → 50
Iterations
IterNodes
done5000
34078
2841
1309
0114

prune307.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (- y (* (log y) (+ y 0.5))))
0.1b
(- y (* (log y) (+ y 0.5)))
0.2b
(* (log y) (+ y 0.5))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
9×*-un-lft-identity
7×add-sqr-sqrt
6×pow1
5×add-cbrt-cube add-exp-log add-cube-cbrt
4×associate-*r* associate-*l*
2×distribute-rgt-in associate-+r+ sum-log sub-neg distribute-lft-in flip3-+ diff-log associate-*r/ flip-+ distribute-lft-out associate--r+
1×+-commutative associate-+r- flip3-- pow-prod-down prod-exp log-pow *-commutative cbrt-unprod flip-- unswap-sqr
Counts
3 → 54
Calls
3 calls:
11.0ms
(+ x (- y (* (log y) (+ y 0.5))))
4.0ms
(- y (* (log y) (+ y 0.5)))
18.0ms
(* (log y) (+ y 0.5))

series1.1s

Counts
3 → 9
Calls
3 calls:
59.0ms
(+ x (- y (* (log y) (+ y 0.5))))
709.0ms
(- y (* (log y) (+ y 0.5)))
366.0ms
(* (log y) (+ y 0.5))

simplify1.7s

Counts
63 → 63
Iterations
IterNodes
done5000
21386
1342
0117

prune413.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize55.0ms

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)

rewrite14.0ms

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:
9.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.1s

Counts
4 → 12
Calls
4 calls:
312.0ms
(* (cbrt y) (cbrt y))
279.0ms
(cbrt y)
247.0ms
(cbrt y)
262.0ms
(cbrt y)

simplify3.1s

Counts
85 → 85
Iterations
IterNodes
done5028
43114
3971
2377
1136
061

prune550.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ y 0.5) (log (cbrt y)))
0.2b
(+ (* (+ y 0.5) (log (pow y 2/3))) (* (+ y 0.5) (log (cbrt y))))
0.6b
(cbrt y)
6.2b
(pow y 2/3)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
38×log-prod
23×add-sqr-sqrt *-un-lft-identity
21×add-cube-cbrt
19×distribute-rgt-in distribute-lft-in
15×cbrt-prod
14×associate-+l+
12×associate-+r+
10×associate-*l/
9×unpow-prod-down
8×pow1
7×add-exp-log
6×flip3-+ add-cbrt-cube flip-+ add-log-exp
5×associate-*r*
4×associate-*l* frac-add
3×pow-unpow sqr-pow
2×pow1/3 log-pow distribute-lft-out
1×pow-to-exp +-commutative sum-log pow-pow pow-prod-down pow-exp prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 105
Calls
4 calls:
33.0ms
(* (+ y 0.5) (log (cbrt y)))
17.0ms
(+ (* (+ y 0.5) (log (pow y 2/3))) (* (+ y 0.5) (log (cbrt y))))
1.0ms
(cbrt y)
4.0ms
(pow y 2/3)

series3.3s

Counts
4 → 12
Calls
4 calls:
637.0ms
(* (+ y 0.5) (log (cbrt y)))
2.2s
(+ (* (+ y 0.5) (log (pow y 2/3))) (* (+ y 0.5) (log (cbrt y))))
260.0ms
(cbrt y)
256.0ms
(pow y 2/3)

simplify1.5s

Counts
117 → 117
Iterations
IterNodes
done5023
22296
1704
0235

prune762.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes235.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done13
113
010

end0.0ms

sample1.8s

Algorithm
intervals
Results
887.0ms8049×body80valid
458.0ms8035×body80nan