Details

sample143.0ms

Algorithm

intervals

Results

51.0ms	762×	body	80	nan
20.0ms	256×	body	80	valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	48	11
3	109	11
4	192	11
5	270	11
6	380	11
7	455	11
8	506	11
9	509	11
done	509	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

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))

rewrite295.0ms

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:

200.0ms	(+ (- (- (* x (log y)) y) z) (log t))
54.0ms	(- (- (* x (log y)) y) z)
17.0ms	(- (* x (log y)) y)
17.0ms	(* x (log y))

series253.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(+ (- (- (* x (log y)) y) z) (log t))
54.0ms	(- (- (* x (log y)) y) z)
76.0ms	(- (* x (log y)) y)
48.0ms	(* x (log y))

simplify2.6s

Counts

110 → 110

Iterations

Useful iterations: 3 (938.0ms)

Iter	Nodes	Cost
0	167	1160
1	373	1097
2	942	1042
3	3340	994
done	5001	994

prune462.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 2 (log (cbrt y))) x)
0.4b	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod` `add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3`
1×	`+-commutative` `distribute-rgt-out` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

4 → 52

Calls

4 calls:

44.0ms	(* (* 2 (log (cbrt y))) x)
31.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series946.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(* (* 2 (log (cbrt y))) x)
195.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
273.0ms	(cbrt y)
245.0ms	(cbrt y)

simplify6.1s

Counts

64 → 64

Iterations

Useful iterations: 3 (2.8s)

Iter	Nodes	Cost
0	93	644
1	247	518
2	969	425
3	4950	353
done	5000	353

prune298.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (pow (/ 1 y) -1/3)) x)
0.4b	(+ (* (* 2 (log (cbrt y))) x) (* (log (pow (/ 1 y) -1/3)) x))
0.6b	(cbrt y)
4.9b	(pow (/ 1 y) -1/3)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`unpow-prod-down`
11×	`add-exp-log`
9×	`times-frac`
8×	`pow1`
6×	`add-cbrt-cube` `add-log-exp`
4×	`associate-l` `pow-exp`
3×	`cbrt-prod` `pow-unpow` `pow-pow` `associate-r`
2×	`div-exp`
1×	`+-commutative` `pow-to-exp` `rec-exp` `distribute-rgt-out` `pow-flip` `flip3-+` `pow1/3` `1-exp` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `inv-pow` `unswap-sqr` `sqr-pow`

Counts

4 → 74

Calls

4 calls:

12.0ms	(* (log (pow (/ 1 y) -1/3)) x)
31.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (log (pow (/ 1 y) -1/3)) x))
1.0ms	(cbrt y)
8.0ms	(pow (/ 1 y) -1/3)

series980.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(* (log (pow (/ 1 y) -1/3)) x)
324.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (log (pow (/ 1 y) -1/3)) x))
268.0ms	(cbrt y)
246.0ms	(pow (/ 1 y) -1/3)

simplify1.5s

Counts

86 → 86

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	167	998
1	380	824
2	1154	650
done	5000	561

prune435.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

15×	`associate-l`
13×	`pow1`
12×	`add-sqr-sqrt`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
4×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`cbrt-prod`
2×	`distribute-lft-neg-out` `log-pow` `*-commutative`
1×	`+-commutative` `neg-mul-1` `flip3-+` `pow1/3` `sum-log` `distribute-rgt-neg-out` `flip-+` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

14.0ms	(* (- (log y)) x)
36.0ms	(+ (* -2/3 (* (- (log y)) x)) (* (log (cbrt y)) x))
22.0ms	(* -2/3 (* (- (log y)) x))
1.0ms	(cbrt y)

series620.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (- (log y)) x)
219.0ms	(+ (* -2/3 (* (- (log y)) x)) (* (log (cbrt y)) x))
86.0ms	(* -2/3 (* (- (log y)) x))
249.0ms	(cbrt y)

simplify1.6s

Counts

81 → 81

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	135	798
1	340	731
2	1257	541
done	5000	515

prune399.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes498.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	23
1	27	23
done	27	23

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.5s	24438×	body	80	nan
700.0ms	8037×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid