Details

Time bar (total: 12.2s)

sample65.0ms

Algorithm
intervals
Results
23.0ms705×body80nan
13.0ms256×body80valid

simplify612.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
12011
24811
311211
420711
527211
638211
753611
856611
done56611

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (log y)) y)
0.0b
(+ (- (- (* x (log y)) y) z) (log t))
0.2b
(* x (log y))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
21×log-prod
20×*-un-lft-identity associate--l+
14×add-sqr-sqrt
12×add-cube-cbrt
11×add-log-exp
10×associate-+l+
distribute-rgt-in distribute-lft-in
pow1
add-exp-log add-cbrt-cube
diff-log associate-*r* distribute-lft-out
sub-neg associate-+r+ associate-*l* sum-log log-pow
distribute-lft-out--
+-commutative associate-+l- flip3-- flip3-+ pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ unswap-sqr
Counts
3 → 74
Calls
3 calls:
3.0ms
(- (* x (log y)) y)
66.0ms
(+ (- (- (* x (log y)) y) z) (log t))
4.0ms
(* x (log y))

series140.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(- (* x (log y)) y)
42.0ms
(+ (- (- (* x (log y)) y) z) (log t))
41.0ms
(* x (log y))

simplify1.2s

Counts
83 → 83
Iterations

Useful iterations: 3 (458.0ms)

IterNodesCost
0148857
1319828
2854786
32867752
done5000752

prune200.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (* x (log y)) (- (+ z y) (* 2 (log (cbrt t))))) (log (cbrt t)))
0.2b
(* x (log y))
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
18×log-prod
17×*-un-lft-identity
16×add-sqr-sqrt
14×add-cube-cbrt add-log-exp
cbrt-prod associate-+l+
pow1
add-exp-log distribute-rgt-in associate-+r+ distribute-lft-in associate--l+ add-cbrt-cube
diff-log sum-log
associate-*r*
associate-*l*
pow1/3 log-pow distribute-lft-out
+-commutative associate-+l- sub-neg flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ associate--r- unswap-sqr
Counts
4 → 79
Calls
4 calls:
109.0ms
(+ (- (* x (log y)) (- (+ z y) (* 2 (log (cbrt t))))) (log (cbrt t)))
4.0ms
(* x (log y))
0.0ms
(cbrt t)
1.0ms
(cbrt t)

series453.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(+ (- (* x (log y)) (- (+ z y) (* 2 (log (cbrt t))))) (log (cbrt t)))
39.0ms
(* x (log y))
170.0ms
(cbrt t)
176.0ms
(cbrt t)

simplify2.4s

Counts
91 → 91
Iterations

Useful iterations: 3 (787.0ms)

IterNodesCost
01561089
1338973
21031874
34946810
done5000810

prune271.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (cbrt y)))
0.3b
(* (* 2 (log (cbrt y))) x)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
12×pow1 cbrt-prod log-prod
11×add-exp-log add-cbrt-cube
associate-*r*
distribute-rgt-in distribute-lft-in
associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
pow1/3
log-pow *-commutative
unswap-sqr
Counts
4 → 72
Calls
4 calls:
5.0ms
(* x (log (cbrt y)))
7.0ms
(* (* 2 (log (cbrt y))) x)
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series577.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(* x (log (cbrt y)))
126.0ms
(* (* 2 (log (cbrt y))) x)
179.0ms
(cbrt y)
180.0ms
(cbrt y)

simplify2.0s

Counts
84 → 84
Iterations

Useful iterations: 3 (629.0ms)

IterNodesCost
0110670
1224632
2813527
33389518
done5001518

prune288.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ (* -2/3 (* (- (log y)) x)) (* x (log (cbrt y))))
0.3b
(* x (log (cbrt y)))
0.4b
(* -2/3 (* (- (log y)) x))
0.6b
(cbrt y)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
24×log-prod
18×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
15×cbrt-prod
12×pow1 distribute-rgt-in associate-+r+ distribute-lft-in
11×add-exp-log add-cbrt-cube
associate-*r* associate-*l* add-log-exp
pow-prod-down prod-exp cbrt-unprod
pow1/3 log-pow *-commutative
+-commutative distribute-lft-neg-out flip3-+ sum-log distribute-rgt-neg-out flip-+ unswap-sqr
Counts
4 → 85
Calls
4 calls:
9.0ms
(+ (* -2/3 (* (- (log y)) x)) (* x (log (cbrt y))))
5.0ms
(* x (log (cbrt y)))
8.0ms
(* -2/3 (* (- (log y)) x))
1.0ms
(cbrt y)

series537.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(+ (* -2/3 (* (- (log y)) x)) (* x (log (cbrt y))))
93.0ms
(* x (log (cbrt y)))
70.0ms
(* -2/3 (* (- (log y)) x))
181.0ms
(cbrt y)

simplify747.0ms

Counts
97 → 97
Iterations

Useful iterations: done (745.0ms)

IterNodesCost
01691082
1372996
21244765
done5000758

prune321.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes136.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02023
12723
done2723

end0.0ms

sample1.9s

Algorithm
intervals
Results
793.0ms24033×body80nan
334.0ms8032×body80valid
0.0msbody640valid
0.0msbody320valid