Details

Time bar (total: 16.4s)

sample79.0ms

Algorithm
intervals
Results
21.0ms257×body80valid
17.0ms255×body80nan

simplify910.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

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)
0.2b
(* (+ y 0.5) (log y))

rewrite211.0ms

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:
9.0ms
(- x (* (+ y 0.5) (log y)))
126.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
36.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
36.0ms
(* (+ y 0.5) (log y))

series643.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(- x (* (+ y 0.5) (log y)))
73.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
81.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
429.0ms
(* (+ y 0.5) (log y))

simplify950.0ms

Counts
93 → 93
Iterations
IterNodes
done5000
21812
1463
0173

prune450.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ y 0.5) (* 2 (log (cbrt y))))
0.2b
(- (- x (* (+ y 0.5) (* 2 (log (cbrt y))))) (* (log (cbrt y)) (+ y 0.5)))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
25×distribute-rgt-in distribute-lft-in
24×log-prod
18×cbrt-prod
17×*-un-lft-identity
15×add-sqr-sqrt add-cube-cbrt
9×pow1 add-cbrt-cube add-exp-log add-log-exp
4×associate-*l* associate-*r/ frac-sub
3×flip3-+ flip3-- diff-log pow-prod-down prod-exp cbrt-unprod flip-+ flip--
2×sub-neg pow1/3 associate-*l/ associate--l+ associate--r+
1×associate--l- associate-*r* *-commutative distribute-lft-out
Counts
4 → 89
Calls
4 calls:
45.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
24.0ms
(- (- x (* (+ y 0.5) (* 2 (log (cbrt y))))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.4s

Counts
4 → 12
Calls
4 calls:
747.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
124.0ms
(- (- x (* (+ y 0.5) (* 2 (log (cbrt y))))) (* (log (cbrt y)) (+ y 0.5)))
292.0ms
(cbrt y)
282.0ms
(cbrt y)

simplify1.8s

Counts
101 → 101
Iterations
IterNodes
done5000
22845
1689
0216

prune669.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (- (- x (* (log (cbrt y)) (+ (* 2 (+ 0.5 y)) y))) (* (log (cbrt y)) 0.5)) y)
0.2b
(* (log (cbrt y)) (+ (* 2 (+ 0.5 y)) y))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
10×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt
7×pow1
6×cbrt-prod add-cbrt-cube add-exp-log
5×associate-*l*
4×associate-+l+
3×sum-log pow1/3 diff-log associate-*r*
2×sub-neg flip3-+ associate--l+ associate-*r/ log-pow flip-+
1×distribute-rgt-in +-commutative distribute-lft-in pow-prod-down prod-exp *-commutative associate-+l- cbrt-unprod distribute-lft-out unswap-sqr
Counts
4 → 65
Calls
4 calls:
73.0ms
(+ (- (- x (* (log (cbrt y)) (+ (* 2 (+ 0.5 y)) y))) (* (log (cbrt y)) 0.5)) y)
52.0ms
(* (log (cbrt y)) (+ (* 2 (+ 0.5 y)) y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.4s

Counts
4 → 12
Calls
4 calls:
141.0ms
(+ (- (- x (* (log (cbrt y)) (+ (* 2 (+ 0.5 y)) y))) (* (log (cbrt y)) 0.5)) y)
725.0ms
(* (log (cbrt y)) (+ (* 2 (+ 0.5 y)) y))
279.0ms
(cbrt y)
259.0ms
(cbrt y)

simplify928.0ms

Counts
77 → 77
Iterations
IterNodes
done5002
21751
1384
0136

prune531.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (- (- x (* (log (pow y 1/3)) (+ (* 2 (+ 0.5 y)) y))) (* (log (cbrt y)) 0.5)) y)
0.2b
(* (log (pow y 1/3)) (+ (* 2 (+ 0.5 y)) y))
0.6b
(cbrt y)
5.1b
(pow y 1/3)

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
11×add-sqr-sqrt *-un-lft-identity
9×add-cube-cbrt
7×pow1 add-exp-log
6×add-cbrt-cube
4×associate-+l+ associate-*l*
3×cbrt-prod pow-unpow sum-log unpow-prod-down diff-log associate-*r*
2×sub-neg flip3-+ associate--l+ associate-*r/ flip-+
1×distribute-rgt-in pow-to-exp +-commutative pow-pow distribute-lft-in unpow1/3 pow1/3 pow-prod-down pow-exp prod-exp log-pow *-commutative associate-+l- cbrt-unprod distribute-lft-out unswap-sqr sqr-pow
Counts
4 → 71
Calls
4 calls:
86.0ms
(+ (- (- x (* (log (pow y 1/3)) (+ (* 2 (+ 0.5 y)) y))) (* (log (cbrt y)) 0.5)) y)
76.0ms
(* (log (pow y 1/3)) (+ (* 2 (+ 0.5 y)) y))
1.0ms
(cbrt y)
2.0ms
(pow y 1/3)

series1.3s

Counts
4 → 12
Calls
4 calls:
135.0ms
(+ (- (- x (* (log (pow y 1/3)) (+ (* 2 (+ 0.5 y)) y))) (* (log (cbrt y)) 0.5)) y)
624.0ms
(* (log (pow y 1/3)) (+ (* 2 (+ 0.5 y)) y))
314.0ms
(cbrt y)
242.0ms
(pow y 1/3)

simplify1.0s

Counts
83 → 83
Iterations
IterNodes
done5002
22176
1499
0169

prune618.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes451.0ms

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

sample2.4s

Algorithm
intervals
Results
1.0s7928×body80nan
670.0ms8038×body80valid
0.0ms2×body160valid