Details

Time bar (total: 23.6s)

sample67.0ms

Algorithm
intervals
Results
23.0ms247×body80nan
22.0ms257×body80valid

simplify3.4s

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

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-+ insert-posit16 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 → 46
Calls
2 calls:
20.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
31.0ms
(* (+ y 0.5) (log y))

series480.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
405.0ms
(* (+ y 0.5) (log y))

simplify2.9s

Counts
52 → 52
Iterations
IterNodes
done5000
34033
2842
1311
0116

prune265.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 3 expressions with local error:

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

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
18×log-prod
15×add-sqr-sqrt *-un-lft-identity
12×associate--l+
11×add-cube-cbrt
10×add-log-exp
9×distribute-rgt-in distribute-lft-in
8×associate--r+
6×pow1
5×add-cbrt-cube add-exp-log
4×diff-log associate-*r* associate-*l*
3×sub-neg insert-posit16
2×flip3-- associate-*l/ flip--
1×flip3-+ pow-prod-down prod-exp log-pow *-commutative cbrt-unprod flip-+ distribute-lft-out distribute-lft-out-- associate--r- difference-of-squares unswap-sqr
Counts
3 → 73
Calls
3 calls:
21.0ms
(- x (- (* (+ y 0.5) (log y)) y))
11.0ms
(- (* (+ y 0.5) (log y)) y)
16.0ms
(* (+ y 0.5) (log y))

series1.1s

Counts
3 → 9
Calls
3 calls:
53.0ms
(- x (- (* (+ y 0.5) (log y)) y))
652.0ms
(- (* (+ y 0.5) (log y)) y)
408.0ms
(* (+ y 0.5) (log y))

simplify3.2s

Counts
82 → 82
Iterations
IterNodes
done5000
34111
21036
1380
0149

prune386.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (log (cbrt y)) (+ 0.5 y))
0.3b
(+ (* (log (cbrt y)) (+ (+ 0.5 y) (+ 0.5 y))) (* (log (cbrt y)) (+ 0.5 y)))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
26×associate-*r/
20×frac-add
18×flip3-+ flip-+
10×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt
7×pow1
6×cbrt-prod add-cbrt-cube add-exp-log add-log-exp
5×associate-*l*
4×associate-*r* insert-posit16
3×distribute-rgt-in distribute-lft-in pow1/3
2×associate-+l+ associate-+r+ log-pow distribute-lft-out
1×+-commutative sum-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 79
Calls
4 calls:
18.0ms
(* (log (cbrt y)) (+ 0.5 y))
46.0ms
(+ (* (log (cbrt y)) (+ (+ 0.5 y) (+ 0.5 y))) (* (log (cbrt y)) (+ 0.5 y)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series2.3s

Counts
4 → 12
Calls
4 calls:
650.0ms
(* (log (cbrt y)) (+ 0.5 y))
1.1s
(+ (* (log (cbrt y)) (+ (+ 0.5 y) (+ 0.5 y))) (* (log (cbrt y)) (+ 0.5 y)))
294.0ms
(cbrt y)
295.0ms
(cbrt y)

simplify2.4s

Counts
91 → 91
Iterations
IterNodes
done5000
23234
1692
0199

prune579.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (log (* (cbrt (- y)) (cbrt -1))) 1.5)
0.3b
(* (log (* (cbrt (- y)) (cbrt -1))) 3)
0.6b
(cbrt (- y))
0.6b
(cbrt (- y))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
18×add-sqr-sqrt
14×pow1 *-un-lft-identity add-cube-cbrt
12×associate-*l*
8×add-cbrt-cube add-exp-log
6×distribute-lft-neg-in distribute-rgt-neg-in pow1/3 associate-*r* pow-prod-down log-pow
4×insert-posit16 add-log-exp
2×neg-mul-1 prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 82
Calls
4 calls:
35.0ms
(* (log (* (cbrt (- y)) (cbrt -1))) 1.5)
24.0ms
(* (log (* (cbrt (- y)) (cbrt -1))) 3)
1.0ms
(cbrt (- y))
1.0ms
(cbrt (- y))

series1.6s

Counts
4 → 12
Calls
4 calls:
520.0ms
(* (log (* (cbrt (- y)) (cbrt -1))) 1.5)
511.0ms
(* (log (* (cbrt (- y)) (cbrt -1))) 3)
266.0ms
(cbrt (- y))
292.0ms
(cbrt (- y))

simplify1.7s

Counts
94 → 94
Iterations
IterNodes
done5002
32322
2582
1209
0108

prune559.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes207.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done12
112
010

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.1s8045×body80valid
624.0ms8101×body80nan
0.0ms1×body1280valid