Details

Time bar (total: 12.5s)

sample52.0ms

Algorithm
intervals
Results
14.0ms297×body80valid
12.0ms326×body80nan

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01516
13016
28316
322416
461816
5160016
6320716
done500016

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×*-un-lft-identity
12×log-prod add-log-exp
11×add-cube-cbrt
pow1 associate-*l*
add-exp-log associate-*r* add-cbrt-cube
distribute-rgt-in distribute-lft-in associate--r+
diff-log sum-log
flip3-- pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
sub-neg associate--l+ log-pow distribute-lft-out-- difference-of-squares
Counts
3 → 68
Calls
3 calls:
9.0ms
(* (- a 0.5) b)
76.0ms
(- (+ (+ x y) z) (* z (log t)))
4.0ms
(* z (log t))

series102.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(* (- a 0.5) b)
37.0ms
(- (+ (+ x y) z) (* z (log t)))
37.0ms
(* z (log t))

simplify875.0ms

Counts
77 → 77
Iterations

Useful iterations: done (872.0ms)

IterNodesCost
0154745
1329704
21109636
done5000624

prune211.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (log (cbrt t)))
0.2b
(* (* 2 (log (cbrt t))) z)
0.5b
(cbrt t)
0.5b
(cbrt t)

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
(* z (log (cbrt t)))
7.0ms
(* (* 2 (log (cbrt t))) z)
0.0ms
(cbrt t)
1.0ms
(cbrt t)

series575.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(* z (log (cbrt t)))
122.0ms
(* (* 2 (log (cbrt t))) z)
176.0ms
(cbrt t)
185.0ms
(cbrt t)

simplify1.9s

Counts
84 → 84
Iterations

Useful iterations: 3 (931.0ms)

IterNodesCost
0110670
1225632
2691528
32788518
done5000518

prune323.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2 (log (pow t 1/3))) z)
0.2b
(* z (log (cbrt t)))
0.5b
(cbrt t)
5.1b
(pow t 1/3)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
13×pow1
12×add-exp-log log-prod
11×add-cbrt-cube
cbrt-prod
associate-*r*
distribute-rgt-in distribute-lft-in
associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
unpow-prod-down pow-unpow
pow1/3 log-pow *-commutative
pow-to-exp pow-pow unpow1/3 pow-exp unswap-sqr sqr-pow
Counts
4 → 79
Calls
4 calls:
7.0ms
(* (* 2 (log (pow t 1/3))) z)
5.0ms
(* z (log (cbrt t)))
0.0ms
(cbrt t)
1.0ms
(pow t 1/3)

series562.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(* (* 2 (log (pow t 1/3))) z)
95.0ms
(* z (log (cbrt t)))
178.0ms
(cbrt t)
177.0ms
(pow t 1/3)

simplify2.0s

Counts
91 → 91
Iterations

Useful iterations: 3 (860.0ms)

IterNodesCost
0142745
1289649
2843555
33643532
done5000532

prune360.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* -1/3 (- (log t))) z)
0.2b
(* (* 2 (log (cbrt t))) z)
0.4b
(* -1/3 (- (log t)))
0.5b
(cbrt t)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 associate-*r*
16×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
pow-prod-down prod-exp cbrt-unprod
log-prod distribute-neg-in
associate-*l*
distribute-lft-neg-in distribute-rgt-neg-in add-log-exp
cbrt-prod distribute-rgt-in distribute-lft-in *-commutative
log-pow distribute-rgt-neg-out
distribute-lft-neg-out neg-mul-1 pow1/3 unswap-sqr
Counts
4 → 82
Calls
4 calls:
9.0ms
(* (* -1/3 (- (log t))) z)
7.0ms
(* (* 2 (log (cbrt t))) z)
7.0ms
(* -1/3 (- (log t)))
1.0ms
(cbrt t)

series524.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* (* -1/3 (- (log t))) z)
126.0ms
(* (* 2 (log (cbrt t))) z)
145.0ms
(* -1/3 (- (log t)))
183.0ms
(cbrt t)

simplify735.0ms

Counts
94 → 94
Iterations

Useful iterations: done (732.0ms)

IterNodesCost
0158791
1375718
21262539
done5001529

prune346.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes367.0ms

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
02326
13026
done3026

end0.0ms

sample1.5s

Algorithm
intervals
Results
442.0ms9242×body80valid
381.0ms9603×body80nan
0.0msbody1280valid