Details

sample89.0ms

Algorithm

intervals

Results

32.0ms	946×	body	80	nan
10.0ms	257×	body	80	valid

simplify31.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	6
1	48	6
2	118	6
3	247	6
4	525	6
5	732	6
6	937	6
7	1108	6
8	1128	6
9	1128	6
done	1128	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (- (* x (log y)) y) z) (log t))
0.0b	(- (- (* x (log y)) y) z)
0.0b	(- (* x (log y)) y)
0.3b	(* x (log y))

rewrite213.0ms

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:

145.0ms	(+ (- (- (* x (log y)) y) z) (log t))
48.0ms	(- (- (* x (log y)) y) z)
9.0ms	(- (* x (log y)) y)
9.0ms	(* x (log y))

series180.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ (- (- (* x (log y)) y) z) (log t))
39.0ms	(- (- (* x (log y)) y) z)
55.0ms	(- (* x (log y)) y)
42.0ms	(* x (log y))

simplify110.0ms

Counts

110 → 110

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	376	617
1	1219	584
2	4445	548
3	5001	548
done	5001	548

prune266.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

10.0ms	(* x (log (cbrt y)))
26.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series563.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* x (log (cbrt y)))
101.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
188.0ms	(cbrt y)
181.0ms	(cbrt y)

simplify51.0ms

Counts

114 → 114

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	345	729
1	1431	634
2	5001	547
done	5001	547

prune402.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

52×	`log-prod`
38×	`distribute-rgt-in` `distribute-lft-in`
27×	`add-sqr-sqrt`
25×	`add-cube-cbrt` `*-un-lft-identity`
24×	`associate-+l+`
15×	`cbrt-prod` `unpow-prod-down`
14×	`associate-+r+`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
5×	`sqr-pow`
4×	`associate-r`
3×	`pow-unpow` `associate-l`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

10.0ms	(* x (log (pow y 1/3)))
27.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
1.0ms	(cbrt y)
3.0ms	(pow y 1/3)

series610.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* x (log (pow y 1/3)))
149.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
189.0ms	(cbrt y)
180.0ms	(pow y 1/3)

simplify65.0ms

Counts

124 → 124

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	445	770
1	1784	666
2	5001	518
done	5001	518

prune462.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
3.6b	(pow (cbrt y) 1/3)
4.5b	(pow (pow y 1/3) 2/3)
5.1b	(pow y 1/3)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

19×	`unpow-prod-down`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`pow-unpow`
8×	`add-exp-log`
6×	`pow1` `cbrt-prod` `pow-exp`
4×	`pow-to-exp` `pow-pow` `add-cbrt-cube` `add-log-exp` `sqr-pow`
2×	`unpow1/3` `pow1/3`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt y)
3.0ms	(pow (cbrt y) 1/3)
5.0ms	(pow (pow y 1/3) 2/3)
3.0ms	(pow y 1/3)

series958.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt y)
308.0ms	(pow (cbrt y) 1/3)
290.0ms	(pow (pow y 1/3) 2/3)
174.0ms	(pow y 1/3)

simplify82.0ms

Counts

86 → 86

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	230	256
1	705	233
2	2571	225
3	5003	221
done	5003	221

prune343.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes240.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	16
1	28	16
done	28	16

end0.0ms

sample2.2s

Algorithm

intervals

Results

758.0ms	23839×	body	80	nan
321.0ms	8031×	body	80	valid
0.0ms	1×	body	640	valid