Details

Time bar (total: 21.4s)

sample177.0ms

Algorithm
intervals
Results
75.0ms890×body80nan
20.0ms256×body80valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
12011
24811
311311
447311
5203011
done500011

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite251.0ms

Algorithm
rewrite-expression-head
Rules
34×associate--l+
27×log-prod
25×*-un-lft-identity
19×add-sqr-sqrt
17×add-log-exp
15×add-cube-cbrt
12×distribute-rgt-in distribute-lft-in
10×associate-+l+
9×pow1
7×diff-log
6×add-exp-log add-cbrt-cube
5×sub-neg
4×associate-*r* distribute-lft-out
3×associate-+r+ associate-*l* sum-log log-pow distribute-lft-out--
2×flip3-- flip--
1×+-commutative associate--l- associate-+l- flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ difference-of-squares unswap-sqr
Counts
4 → 98
Calls
4 calls:
53.0ms
(- (- (* x (log y)) y) z)
175.0ms
(+ (- (- (* x (log y)) y) z) (log t))
10.0ms
(- (* x (log y)) y)
10.0ms
(* x (log y))

series189.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- (- (* x (log y)) y) z)
49.0ms
(+ (- (- (* x (log y)) y) z) (log t))
62.0ms
(- (* x (log y)) y)
41.0ms
(* x (log y))

simplify694.0ms

Counts
110 → 110
Iterations

Useful iterations: done (691.0ms)

IterNodesCost
01671160
13911097
214631042
done50011031

prune384.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod associate-+r+ log-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log add-cbrt-cube
6×distribute-rgt-in distribute-lft-in add-log-exp
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×pow1/3
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
4 → 63
Calls
4 calls:
30.0ms
(* (* 2 (log (cbrt y))) x)
35.0ms
(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series953.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(* (* 2 (log (cbrt y))) x)
196.0ms
(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
291.0ms
(cbrt y)
280.0ms
(cbrt y)

simplify1.2s

Counts
75 → 75
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0123811
1322735
21610584
done5000575

prune389.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt (pow y 2/3))
5.9b
(pow y 2/3)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
19×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down
5×pow1 add-exp-log
4×add-cbrt-cube add-log-exp
3×pow-unpow pow1/3
2×sqr-pow
1×pow-to-exp pow-pow pow-exp
Counts
4 → 57
Calls
4 calls:
2.0ms
(cbrt (cbrt y))
1.0ms
(cbrt y)
3.0ms
(cbrt (pow y 2/3))
12.0ms
(pow y 2/3)

series1.1s

Counts
4 → 12
Calls
4 calls:
299.0ms
(cbrt (cbrt y))
259.0ms
(cbrt y)
273.0ms
(cbrt (pow y 2/3))
264.0ms
(pow y 2/3)

simplify3.0s

Counts
69 → 69
Iterations

Useful iterations: done (3.0s)

IterNodesCost
093428
1199383
2689347
33371333
done5001329

prune431.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt (pow y 2/3))
5.9b
(pow y 2/3)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down
5×pow1 add-exp-log
4×add-cbrt-cube add-log-exp
3×pow-unpow pow1/3
2×sqr-pow
1×pow-to-exp pow-pow pow-exp
Counts
4 → 54
Calls
4 calls:
2.0ms
(cbrt y)
1.0ms
(cbrt y)
2.0ms
(cbrt (pow y 2/3))
3.0ms
(pow y 2/3)

series1.0s

Counts
4 → 12
Calls
4 calls:
259.0ms
(cbrt y)
286.0ms
(cbrt y)
222.0ms
(cbrt (pow y 2/3))
265.0ms
(pow y 2/3)

simplify3.6s

Counts
66 → 66
Iterations

Useful iterations: done (3.6s)

IterNodesCost
075385
1167339
2579307
32988293
done5000289

prune549.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes335.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11211
done1211

end0.0ms

sample5.2s

Algorithm
intervals
Results
2.1s23931×body80nan
1.1s8029×body80valid
1.0ms2×body320valid