Details

Time bar (total: 18.8s)

sample84.0ms

Algorithm
intervals
Results
33.0ms257×body80valid
18.0ms278×body80nan

simplify1.3s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite186.0ms

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*
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 → 81
Calls
4 calls:
10.0ms
(- x (* (+ y 0.5) (log y)))
132.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
17.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
23.0ms
(* (+ y 0.5) (log y))

series581.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(- x (* (+ y 0.5) (log y)))
93.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
68.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
359.0ms
(* (+ y 0.5) (log y))

simplify1.5s

Counts
93 → 93
Iterations
IterNodes
done5000
21812
1463
0173

prune610.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite238.0ms

Algorithm
rewrite-expression-head
Rules
17×add-log-exp
13×add-sqr-sqrt *-un-lft-identity
12×log-prod
9×add-cube-cbrt
7×diff-log
6×distribute-rgt-in pow1 distribute-lft-in associate-*l/ associate--r+
5×flip3-+ add-cbrt-cube associate--l+ add-exp-log flip-+
4×associate-*r* associate-*l* frac-sub
3×sub-neg
2×sum-log flip3-- flip--
1×associate--l- pow-prod-down prod-exp log-pow *-commutative cbrt-unprod distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 72
Calls
3 calls:
163.0ms
(- (- (+ x y) (* (+ y 0.5) (log y))) z)
37.0ms
(- (+ x y) (* (+ y 0.5) (log y)))
36.0ms
(* (+ y 0.5) (log y))

series675.0ms

Counts
3 → 9
Calls
3 calls:
102.0ms
(- (- (+ x y) (* (+ y 0.5) (log y))) z)
81.0ms
(- (+ x y) (* (+ y 0.5) (log y)))
491.0ms
(* (+ y 0.5) (log y))

simplify1.8s

Counts
81 → 81
Iterations
IterNodes
done5000
22099
1524
0182

prune612.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite303.0ms

Algorithm
rewrite-expression-head
Rules
17×add-log-exp
13×add-sqr-sqrt *-un-lft-identity
12×log-prod
9×add-cube-cbrt
7×diff-log
6×distribute-rgt-in pow1 distribute-lft-in associate-*l/ associate--r+
5×flip3-+ add-cbrt-cube associate--l+ add-exp-log flip-+
4×associate-*r* associate-*l* frac-sub
3×sub-neg
2×sum-log flip3-- flip--
1×associate--l- pow-prod-down prod-exp log-pow *-commutative cbrt-unprod distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 72
Calls
3 calls:
218.0ms
(- (- (+ y x) (* (+ 0.5 y) (log y))) z)
63.0ms
(- (+ y x) (* (+ 0.5 y) (log y)))
20.0ms
(* (+ 0.5 y) (log y))

series627.0ms

Counts
3 → 9
Calls
3 calls:
107.0ms
(- (- (+ y x) (* (+ 0.5 y) (log y))) z)
77.0ms
(- (+ y x) (* (+ 0.5 y) (log y)))
443.0ms
(* (+ 0.5 y) (log y))

simplify1.8s

Counts
81 → 81
Iterations
IterNodes
done5000
22254
1528
0183

prune580.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite406.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
28×add-sqr-sqrt *-un-lft-identity associate-*l/
24×distribute-rgt-in distribute-lft-in frac-sub add-cube-cbrt sqrt-prod associate--r+
20×flip3-+ flip-+
18×add-log-exp
12×pow1 associate-*r*
8×add-cbrt-cube associate-*l* add-exp-log
7×diff-log
6×log-pow
5×associate--l+
4×flip3-- flip--
3×sub-neg
2×sum-log sqrt-pow1 pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
1×associate--l-
Counts
4 → 144
Calls
4 calls:
244.0ms
(- (- (+ x y) (* (+ y 0.5) (log (sqrt y)))) (* (+ y 0.5) (log (sqrt y))))
72.0ms
(- (+ x y) (* (+ y 0.5) (log (sqrt y))))
42.0ms
(* (+ y 0.5) (log (sqrt y)))
42.0ms
(* (+ y 0.5) (log (sqrt y)))

series758.0ms

Counts
4 → 12
Calls
4 calls:
236.0ms
(- (- (+ x y) (* (+ y 0.5) (log (sqrt y)))) (* (+ y 0.5) (log (sqrt y))))
212.0ms
(- (+ x y) (* (+ y 0.5) (log (sqrt y))))
162.0ms
(* (+ y 0.5) (log (sqrt y)))
148.0ms
(* (+ y 0.5) (log (sqrt y)))

simplify3.0s

Counts
156 → 156
Iterations
IterNodes
done5000
24757
1887
0262

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes248.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done26
126
020

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.1s8036×body80valid
614.0ms8186×body80nan
0.0ms1×body160valid