Details

sample30.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
5.0ms	251×	body	80	nan

simplify113.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	25	8
3	41	8
4	52	8
5	64	8
6	85	8
7	119	8
8	160	8
9	162	8
done	162	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

4.0ms	(- (* x (log y)) z)
4.0ms	(* x (log y))

series99.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(- (* x (log y)) z)
42.0ms	(* x (log y))

simplify6.3s

Counts

49 → 49

Iterations

Useful iterations: 4 (895.0ms)

Iter	Nodes	Cost
0	90	402
1	177	381
2	485	351
3	1177	336
4	4140	332
done	5000	332

prune100.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (cbrt y)))
0.3b	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
18×	`cbrt-prod` `add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
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-+` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
9.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series577.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* x (log (cbrt y)))
126.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
177.0ms	(cbrt y)
182.0ms	(cbrt y)

simplify3.2s

Counts

89 → 89

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	119	909
1	258	841
2	949	669
3	4396	629
done	5000	595

prune263.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.6b	(cbrt (cbrt y))
0.6b	(cbrt (pow y 2/3))
6.1b	(pow y 2/3)

rewrite5.0ms

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:

0.0ms	(cbrt y)
1.0ms	(cbrt (cbrt y))
1.0ms	(cbrt (pow y 2/3))
1.0ms	(pow y 2/3)

series797.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt y)
247.0ms	(cbrt (cbrt y))
189.0ms	(cbrt (pow y 2/3))
176.0ms	(pow y 2/3)

simplify779.0ms

Counts

69 → 69

Iterations

Useful iterations: 3 (221.0ms)

Iter	Nodes	Cost
0	93	428
1	174	398
2	425	347
3	1421	333
done	5001	333

prune311.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

9.0ms	(- (* (* 3 x) (log (* (cbrt (- y)) (cbrt -1)))) z)
7.0ms	(log (* (cbrt (- y)) (cbrt -1)))
15.0ms	(* (* 3 x) (log (* (cbrt (- y)) (cbrt -1))))
1.0ms	(cbrt (- y))

series1.1s

Counts

4 → 12

Calls

4 calls:

425.0ms	(- (* (* 3 x) (log (* (cbrt (- y)) (cbrt -1)))) z)
344.0ms	(log (* (cbrt (- y)) (cbrt -1)))
172.0ms	(* (* 3 x) (log (* (cbrt (- y)) (cbrt -1))))
187.0ms	(cbrt (- y))

simplify438.0ms

Counts

80 → 80

Iterations

Useful iterations: done (435.0ms)

Iter	Nodes	Cost
0	121	953
1	264	889
2	940	790
done	5000	774

prune197.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes100.0ms

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	7	8
1	8	8
done	8	8

end0.0ms

sample748.0ms

Algorithm

intervals

Results

237.0ms	8035×	body	80	valid
177.0ms	8157×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid