Details

sample166.0ms

Algorithm

intervals

Results

57.0ms	792×	body	80	nan
23.0ms	256×	body	80	valid

simplify1.0s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite351.0ms

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:

15.0ms	(- (* x (log y)) y)
235.0ms	(+ (- (- (* x (log y)) y) z) (log t))
86.0ms	(- (- (* x (log y)) y) z)
10.0ms	(* x (log y))

series283.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(- (* x (log y)) y)
67.0ms	(+ (- (- (* x (log y)) y) z) (log t))
54.0ms	(- (- (* x (log y)) y) z)
57.0ms	(* x (log y))

simplify2.3s

Counts

110 → 110

Iterations

Useful iterations: 3 (962.0ms)

Iter	Nodes	Cost
0	167	1160
1	373	1097
2	943	1042
3	3336	994
done	5001	994

prune376.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

23.0ms	(* (cbrt y) (cbrt y))
2.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

325.0ms	(* (cbrt y) (cbrt y))
294.0ms	(cbrt y)
289.0ms	(cbrt y)
318.0ms	(cbrt y)

simplify5.1s

Counts

85 → 85

Iterations

Useful iterations: done (5.1s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune396.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (+ (* 2 (log (cbrt t))) (- (* (log y) x) y)) z) (log (cbrt t)))
0.3b	(* (log y) x)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite844.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
14×	`add-log-exp`
12×	`add-sqr-sqrt`
10×	`add-cube-cbrt`
9×	`pow1` `cbrt-prod`
6×	`add-exp-log` `associate-+r+` `log-prod` `sum-log` `add-cbrt-cube`
4×	`diff-log` `associate-l` `distribute-lft-out`
3×	`associate-+l+` `associate-r` `log-pow`
2×	`pow1/3` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

821.0ms	(+ (- (+ (* 2 (log (cbrt t))) (- (* (log y) x) y)) z) (log (cbrt t)))
16.0ms	(* (log y) x)
2.0ms	(cbrt t)
2.0ms	(cbrt t)

series772.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(+ (- (+ (* 2 (log (cbrt t))) (- (* (log y) x) y)) z) (log (cbrt t)))
103.0ms	(* (log y) x)
259.0ms	(cbrt t)
257.0ms	(cbrt t)

simplify3.0s

Counts

81 → 81

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	134	931
1	298	901
2	904	781
3	4307	650
done	5002	650

prune431.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (log y))) (cbrt (* x (log y))))
0.6b	(cbrt (* x (log y)))
0.6b	(cbrt (* x (log y)))
0.6b	(cbrt (* x (log y)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

15.0ms	(* (cbrt (* x (log y))) (cbrt (* x (log y))))
4.0ms	(cbrt (* x (log y)))
4.0ms	(cbrt (* x (log y)))
4.0ms	(cbrt (* x (log y)))

series583.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (cbrt (* x (log y))) (cbrt (* x (log y))))
123.0ms	(cbrt (* x (log y)))
131.0ms	(cbrt (* x (log y)))
121.0ms	(cbrt (* x (log y)))

simplify3.6s

Counts

70 → 70

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	89	761
1	187	684
2	422	595
3	1077	507
4	3750	452
done	5000	420

prune288.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes206.0ms

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)

Iter	Nodes	Cost
0	15	21
1	19	21
done	19	21

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.3s	24067×	body	80	nan
777.0ms	8030×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid