Details

sample177.0ms

Algorithm

intervals

Results

79.0ms	864×	body	80	nan
20.0ms	257×	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

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

9.0ms	(- (* x (log y)) y)
222.0ms	(+ (- (- (* x (log y)) y) z) (log t))
18.0ms	(* x (log y))

series176.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(- (* x (log y)) y)
64.0ms	(+ (- (- (* x (log y)) y) z) (log t))
44.0ms	(* x (log y))

simplify2.0s

Counts

83 → 83

Iterations

Useful iterations: 3 (601.0ms)

Iter	Nodes	Cost
0	148	857
1	330	828
2	773	764
3	2363	730
done	5000	730

prune287.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2 (log (cbrt y))) x)
0.3b	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite56.0ms

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:

20.0ms	(* (* 2 (log (cbrt y))) x)
33.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.0s

Counts

4 → 12

Calls

4 calls:

194.0ms	(* (* 2 (log (cbrt y))) x)
223.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
252.0ms	(cbrt y)
334.0ms	(cbrt y)

simplify6.4s

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

prune375.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* 3 x) (log (* (cbrt -1) (cbrt (- y))))) y)
0.0b	(+ (- (- (* (* 3 x) (log (* (cbrt -1) (cbrt (- y))))) y) z) (log t))
0.4b	(* (* 3 x) (log (* (cbrt -1) (cbrt (- y)))))
0.5b	(cbrt (- y))

rewrite885.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

32.0ms	(- (* (* 3 x) (log (* (cbrt -1) (cbrt (- y))))) y)
801.0ms	(+ (- (- (* (* 3 x) (log (* (cbrt -1) (cbrt (- y))))) y) z) (log t))
46.0ms	(* (* 3 x) (log (* (cbrt -1) (cbrt (- y)))))
4.0ms	(cbrt (- y))

series1.2s

Counts

4 → 12

Calls

4 calls:

346.0ms	(- (* (* 3 x) (log (* (cbrt -1) (cbrt (- y))))) y)
290.0ms	(+ (- (- (* (* 3 x) (log (* (cbrt -1) (cbrt (- y))))) y) z) (log t))
260.0ms	(* (* 3 x) (log (* (cbrt -1) (cbrt (- y)))))
326.0ms	(cbrt (- y))

simplify1.1s

Counts

94 → 94

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	168	1443
1	384	1375
2	1269	1244
done	5001	1214

prune459.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.6b	(cbrt (cbrt y))
0.6b	(cbrt (pow y 2/3))
6.0b	(pow y 2/3)

rewrite16.0ms

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 y)
3.0ms	(cbrt (cbrt y))
4.0ms	(cbrt (pow y 2/3))
5.0ms	(pow y 2/3)

series1.3s

Counts

4 → 12

Calls

4 calls:

307.0ms	(cbrt y)
414.0ms	(cbrt (cbrt y))
350.0ms	(cbrt (pow y 2/3))
251.0ms	(pow y 2/3)

simplify2.4s

Counts

69 → 69

Iterations

Useful iterations: 4 (977.0ms)

Iter	Nodes	Cost
0	93	428
1	171	383
2	320	347
3	732	333
4	2652	328
done	5000	328

prune477.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes393.0ms

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	10	11
1	12	11
done	12	11

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.2s	23763×	body	80	nan
1.2s	8047×	body	80	valid
0.0ms	1×	body	1280	valid