Details

sample72.0ms

Algorithm

intervals

Results

23.0ms	763×	body	80	nan
10.0ms	256×	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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

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))

rewrite220.0ms

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:

150.0ms	(+ (- (- (* x (log y)) y) z) (log t))
49.0ms	(- (- (* x (log y)) y) z)
9.0ms	(- (* x (log y)) y)
9.0ms	(* x (log y))

series177.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (- (- (* x (log y)) y) z) (log t))
37.0ms	(- (- (* x (log y)) y) z)
53.0ms	(- (* x (log y)) y)
42.0ms	(* x (log y))

simplify103.0ms

Counts

110 → 110

Iterations

Useful iterations: 2 (29.0ms)

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

prune259.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

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)))
28.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series542.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* x (log (cbrt y)))
102.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
184.0ms	(cbrt y)
166.0ms	(cbrt y)

simplify49.0ms

Counts

114 → 114

Iterations

Useful iterations: 2 (42.0ms)

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

prune394.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (pow y 1/3)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* 1 (* x (log (pow y 1/3)))))
0.6b	(cbrt y)
5.1b	(pow y 1/3)

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

66×	`log-prod`
59×	`distribute-rgt-in` `distribute-lft-in`
31×	`add-sqr-sqrt`
29×	`add-cube-cbrt` `*-un-lft-identity`
28×	`associate-+r+`
24×	`associate-+l+`
21×	`unpow-prod-down`
15×	`cbrt-prod`
7×	`pow1` `add-exp-log` `sqr-pow`
6×	`add-cbrt-cube` `add-log-exp`
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-+` `unswap-sqr`

Counts

4 → 125

Calls

4 calls:

10.0ms	(* x (log (pow y 1/3)))
34.0ms	(+ (* x (* 2 (log (cbrt y)))) (* 1 (* x (log (pow y 1/3)))))
1.0ms	(cbrt y)
3.0ms	(pow y 1/3)

series552.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* x (log (pow y 1/3)))
129.0ms	(+ (* x (* 2 (log (cbrt y)))) (* 1 (* x (log (pow y 1/3)))))
169.0ms	(cbrt y)
176.0ms	(pow y 1/3)

simplify69.0ms

Counts

137 → 137

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	527	945
1	2161	761
2	5002	632
done	5002	632

prune548.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (* 1 (pow y 1/3))))) (* x (log (cbrt y))))
0.6b	(cbrt y)
5.1b	(pow y 1/3)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

28×	`log-prod`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
16×	`distribute-rgt-in` `distribute-lft-in`
15×	`cbrt-prod`
12×	`associate-+r+`
8×	`pow1`
7×	`add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
5×	`associate-r`
4×	`associate-+l+`
3×	`unpow-prod-down` `pow-unpow` `associate-l`
2×	`pow1/3` `log-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr` `sqr-pow`

Counts

4 → 89

Calls

4 calls:

10.0ms	(* x (log (cbrt y)))
33.0ms	(+ (* x (* 2 (log (* 1 (pow y 1/3))))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
3.0ms	(pow y 1/3)

series598.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* x (log (cbrt y)))
143.0ms	(+ (* x (* 2 (log (* 1 (pow y 1/3))))) (* x (log (cbrt y))))
182.0ms	(cbrt y)
180.0ms	(pow y 1/3)

simplify58.0ms

Counts

101 → 101

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	360	617
1	1659	507
2	5002	449
done	5002	449

prune347.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes324.0ms

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	13
1	30	13
2	30	13
done	30	13

end0.0ms

sample2.2s

Algorithm

intervals

Results

748.0ms	23869×	body	80	nan
313.0ms	8036×	body	80	valid
0.0ms	1×	body	320	valid