Details

sample30.0ms

Algorithm

intervals

Results

8.0ms	258×	body	80	valid
6.0ms	306×	body	80	nan

simplify127.0ms

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	50	8
5	58	8
6	78	8
7	109	8
8	125	8
9	135	8
10	142	8
11	144	8
12	146	8
done	146	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate--l+`
18×	`log-prod`
15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1`
5×	`add-exp-log` `add-cbrt-cube`
4×	`diff-log` `associate-r`
3×	`sub-neg` `associate-l`
2×	`flip3--` `flip--`
1×	`associate--l-` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

3.0ms	(- (* x (log y)) z)
19.0ms	(- (- (* x (log y)) z) y)
4.0ms	(* x (log y))

series127.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- (* x (log y)) z)
31.0ms	(- (- (* x (log y)) z) y)
38.0ms	(* x (log y))

simplify748.0ms

Counts

76 → 76

Iterations

Useful iterations: 3 (236.0ms)

Iter	Nodes	Cost
0	126	705
1	249	666
2	537	629
3	1253	596
done	5000	596

prune169.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.3b	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(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))))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series741.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* x (log (cbrt y)))
130.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
186.0ms	(cbrt y)
330.0ms	(cbrt y)

simplify2.3s

Counts

89 → 89

Iterations

Useful iterations: 3 (779.0ms)

Iter	Nodes	Cost
0	119	909
1	256	837
2	661	675
3	3162	609
done	5001	609

prune256.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* 3 x) (log (* (cbrt (- y)) (cbrt -1)))) z)
0.0b	(- (- (* (* 3 x) (log (* (cbrt (- y)) (cbrt -1)))) z) y)
0.4b	(* (* 3 x) (log (* (cbrt (- y)) (cbrt -1))))
0.6b	(cbrt (- y))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

11.0ms	(- (* (* 3 x) (log (* (cbrt (- y)) (cbrt -1)))) z)
80.0ms	(- (- (* (* 3 x) (log (* (cbrt (- y)) (cbrt -1)))) z) y)
15.0ms	(* (* 3 x) (log (* (cbrt (- y)) (cbrt -1))))
1.0ms	(cbrt (- y))

series752.0ms

Counts

4 → 12

Calls

4 calls:

240.0ms	(- (* (* 3 x) (log (* (cbrt (- y)) (cbrt -1)))) z)
138.0ms	(- (- (* (* 3 x) (log (* (cbrt (- y)) (cbrt -1)))) z) y)
178.0ms	(* (* 3 x) (log (* (cbrt (- y)) (cbrt -1))))
196.0ms	(cbrt (- y))

simplify2.1s

Counts

87 → 87

Iterations

Useful iterations: 3 (835.0ms)

Iter	Nodes	Cost
0	146	1264
1	315	1172
2	1001	1080
3	3874	1051
done	5001	1051

prune226.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`distribute-lft-neg-in` `unpow-prod-down` `distribute-rgt-neg-in`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`sqr-pow`
1×	`pow-to-exp` `neg-mul-1` `pow-pow` `pow-exp`

Counts

4 → 67

Calls

4 calls:

0.0ms	(cbrt y)
1.0ms	(cbrt (pow y 2/3))
2.0ms	(cbrt (- (cbrt y)))
1.0ms	(pow y 2/3)

series824.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt y)
180.0ms	(cbrt (pow y 2/3))
292.0ms	(cbrt (- (cbrt y)))
174.0ms	(pow y 2/3)

simplify1.2s

Counts

79 → 79

Iterations

Useful iterations: 4 (452.0ms)

Iter	Nodes	Cost
0	115	542
1	196	491
2	350	450
3	772	436
4	2264	431
done	5001	431

prune307.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes83.0ms

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

sample769.0ms

Algorithm

intervals

Results

233.0ms	8031×	body	80	valid
185.0ms	8186×	body	80	nan