Details

Time bar (total: 18.5s)

sample38.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
9.0ms234×body80nan

simplify3.1s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite212.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
19×*-un-lft-identity
14×add-sqr-sqrt
12×log-prod
10×add-cube-cbrt
7×pow1
6×distribute-rgt-in distribute-lft-in add-cbrt-cube diff-log add-exp-log associate--r+
4×sum-log associate-*r* associate-*l* insert-posit16
3×sub-neg distribute-lft-out
2×associate-+l+ flip3-+ flip3-- associate-*l/ associate-+l- flip-+ flip-- distribute-lft-out--
1×associate--l- +-commutative pow-prod-down prod-exp associate--l+ log-pow *-commutative cbrt-unprod difference-of-squares unswap-sqr
Counts
4 → 85
Calls
4 calls:
158.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
6.0ms
(- x (* (+ y 0.5) (log y)))
21.0ms
(* (+ y 0.5) (log y))
24.0ms
(+ (- x (* (+ y 0.5) (log y))) y)

series595.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
68.0ms
(- x (* (+ y 0.5) (log y)))
385.0ms
(* (+ y 0.5) (log y))
77.0ms
(+ (- x (* (+ y 0.5) (log y))) y)

simplify1.7s

Counts
97 → 97
Iterations
IterNodes
done5001
21347
1465
0177

prune511.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite247.0ms

Algorithm
rewrite-expression-head
Rules
36×log-prod
26×*-un-lft-identity
24×add-sqr-sqrt
20×add-cube-cbrt
18×distribute-rgt-in distribute-lft-in sqrt-prod add-log-exp
12×pow1 associate-*r* associate--r+
8×add-cbrt-cube associate-*l* associate-*l/ add-exp-log
6×diff-log log-pow
5×flip3-+ flip-+
4×associate-+l+ sub-neg associate--l+ frac-sub insert-posit16
3×sum-log flip3-- flip-- distribute-lft-out
2×sqrt-pow1 pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×associate--l- +-commutative associate-+l-
Counts
4 → 127
Calls
4 calls:
61.0ms
(- (- x (* (+ y 0.5) (log (sqrt y)))) (* (+ y 0.5) (log (sqrt y))))
31.0ms
(* (+ y 0.5) (log (sqrt y)))
23.0ms
(* (+ y 0.5) (log (sqrt y)))
124.0ms
(+ (- (- x (* (+ y 0.5) (log (sqrt y)))) (* (+ y 0.5) (log (sqrt y)))) y)

series583.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(- (- x (* (+ y 0.5) (log (sqrt y)))) (* (+ y 0.5) (log (sqrt y))))
128.0ms
(* (+ y 0.5) (log (sqrt y)))
126.0ms
(* (+ y 0.5) (log (sqrt y)))
166.0ms
(+ (- (- x (* (+ y 0.5) (log (sqrt y)))) (* (+ y 0.5) (log (sqrt y)))) y)

simplify2.1s

Counts
139 → 139
Iterations
IterNodes
done5009
21990
1611
0204

prune743.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
30×add-sqr-sqrt *-un-lft-identity
26×associate--l+
24×distribute-rgt-in distribute-lft-in add-cube-cbrt sqrt-prod
18×add-log-exp
14×associate--r+
12×pow1 associate-*r*
9×diff-log
8×add-cbrt-cube associate-*l* add-exp-log
6×flip3-- log-pow flip--
4×sub-neg associate-*l/ frac-sub insert-posit16
2×sqrt-pow1 flip3-+ pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
1×associate--l- distribute-lft-out-- associate--r- difference-of-squares
Counts
4 → 139
Calls
4 calls:
16.0ms
(- (* (+ y 0.5) (log (sqrt y))) y)
72.0ms
(- (- x (* (+ y 0.5) (log (sqrt y)))) (- (* (+ y 0.5) (log (sqrt y))) y))
39.0ms
(* (+ y 0.5) (log (sqrt y)))
33.0ms
(* (+ y 0.5) (log (sqrt y)))

series513.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(- (* (+ y 0.5) (log (sqrt y))) y)
129.0ms
(- (- x (* (+ y 0.5) (log (sqrt y)))) (- (* (+ y 0.5) (log (sqrt y))) y))
117.0ms
(* (+ y 0.5) (log (sqrt y)))
106.0ms
(* (+ y 0.5) (log (sqrt y)))

simplify1.7s

Counts
151 → 151
Iterations
IterNodes
done5002
22065
1627
0212

prune744.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (sqrt y)) (cbrt (sqrt y)))
0.5b
(cbrt (sqrt y))
0.5b
(cbrt (sqrt y))
0.5b
(cbrt (sqrt y))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
58×cbrt-prod
44×add-sqr-sqrt
29×sqrt-prod
22×*-un-lft-identity add-cube-cbrt
11×pow1 swap-sqr
9×pow1/3 associate-*r* associate-*l* unswap-sqr
6×add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 102
Calls
4 calls:
16.0ms
(* (cbrt (sqrt y)) (cbrt (sqrt y)))
2.0ms
(cbrt (sqrt y))
1.0ms
(cbrt (sqrt y))
2.0ms
(cbrt (sqrt y))

series811.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(* (cbrt (sqrt y)) (cbrt (sqrt y)))
190.0ms
(cbrt (sqrt y))
225.0ms
(cbrt (sqrt y))
229.0ms
(cbrt (sqrt y))

simplify2.4s

Counts
114 → 114
Iterations
IterNodes
done5078
44320
31102
2422
1170
080

prune488.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes158.0ms

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
done14
114
012

end0.0ms

sample1.6s

Algorithm
intervals
Results
750.0ms8043×body80nan
537.0ms8038×body80valid
1.0ms2×body1280valid
0.0ms1×body640valid