Details

sample41.0ms

Algorithm

intervals

Results

10.0ms	257×	body	80	valid
9.0ms	291×	body	80	nan

simplify4.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	25	8
3	41	8
4	83	8
5	188	8
6	417	8
7	1183	8
8	3990	8
done	5000	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- (* x (log y)) z) y)
0.0b	(- (* x (log y)) z)
0.2b	(* x (log y))

rewrite114.0ms

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:

78.0ms	(- (- (* x (log y)) z) y)
15.0ms	(- (* x (log y)) z)
17.0ms	(* x (log y))

series154.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- (- (* x (log y)) z) y)
68.0ms	(- (* x (log y)) z)
50.0ms	(* x (log y))

simplify2.6s

Counts

76 → 76

Iterations

Useful iterations: 3 (812.0ms)

Iter	Nodes	Cost
0	126	705
1	275	666
2	734	629
3	4017	596
done	5002	596

prune235.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (log y)) (- (+ y z)))
0.2b	(* x (log y))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
10×	`add-sqr-sqrt`
9×	`add-log-exp`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
5×	`pow1`
4×	`add-exp-log` `associate-r` `sum-log` `add-cbrt-cube`
3×	`associate-l`
2×	`neg-log`
1×	`+-commutative` `neg-sub0` `associate-+r-` `associate-+r+` `distribute-neg-in` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 48

Calls

2 calls:

48.0ms	(+ (* x (log y)) (- (+ y z)))
14.0ms	(* x (log y))

series107.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(+ (* x (log y)) (- (+ y z)))
57.0ms	(* x (log y))

simplify571.0ms

Counts

54 → 54

Iterations

Useful iterations: done (569.0ms)

Iter	Nodes	Cost
0	106	514
1	257	461
2	1116	423
done	5002	416

prune142.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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))))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite51.0ms

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:

12.0ms	(* x (log (cbrt y)))
34.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series849.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(* x (log (cbrt y)))
185.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
263.0ms	(cbrt y)
264.0ms	(cbrt y)

simplify786.0ms

Counts

89 → 89

Iterations

Useful iterations: done (783.0ms)

Iter	Nodes	Cost
0	119	909
1	305	849
2	1321	721
done	5000	711

prune295.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* 3 x) (log (* (cbrt (- y)) (cbrt -1)))) (- (+ y z)))
0.0b	(log (* (cbrt (- y)) (cbrt -1)))
0.3b	(* (* 3 x) (log (* (cbrt (- y)) (cbrt -1))))
0.5b	(cbrt (- y))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1`
12×	`add-exp-log`
11×	`add-log-exp`
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`
5×	`log-prod` `pow1/3`
4×	`prod-exp` `sum-log`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `cbrt-unprod`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `rem-log-exp` `neg-log`
1×	`+-commutative` `neg-sub0` `associate-+r-` `neg-mul-1` `associate-+r+` `distribute-neg-in` `flip3-+` `associate-l` `unsub-neg` `*-commutative` `flip-+`

Counts

4 → 73

Calls

4 calls:

57.0ms	(+ (* (* 3 x) (log (* (cbrt (- y)) (cbrt -1)))) (- (+ y z)))
9.0ms	(log (* (cbrt (- y)) (cbrt -1)))
34.0ms	(* (* 3 x) (log (* (cbrt (- y)) (cbrt -1))))
2.0ms	(cbrt (- y))

series1.1s

Counts

4 → 12

Calls

4 calls:

171.0ms	(+ (* (* 3 x) (log (* (cbrt (- y)) (cbrt -1)))) (- (+ y z)))
399.0ms	(log (* (cbrt (- y)) (cbrt -1)))
209.0ms	(* (* 3 x) (log (* (cbrt (- y)) (cbrt -1))))
314.0ms	(cbrt (- y))

simplify1.3s

Counts

85 → 85

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	134	1081
1	342	993
2	2090	880
done	5000	877

prune266.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes72.0ms

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	8	9
1	14	9
2	15	9
done	15	9

end0.0ms

sample1.5s

Algorithm

intervals

Results

450.0ms	8024×	body	80	valid
269.0ms	8004×	body	80	nan
1.0ms	2×	body	1280	valid