Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

399×

body

valid

simplify12.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	71	9
4	179	9
5	395	9
6	721	9
7	1510	9
8	2502	9
9	3510	9
10	4339	9
done	5000	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

3.0ms	(+ x (* (- y z) (- t x)))
19.0ms	(* (- y z) (- t x))

series86.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ x (* (- y z) (- t x)))
34.0ms	(* (- y z) (- t x))

simplify1.9s

Counts

55 → 55

Iterations

Useful iterations: 3 (383.0ms)

Iter	Nodes	Cost
0	110	687
1	292	651
2	1101	611
3	4903	609
done	5000	609

prune114.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
13×	`associate-l`
11×	`add-log-exp`
10×	`add-cube-cbrt` `associate-r`
8×	`pow1` `add-exp-log` `distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in` `associate-*r/` `add-cbrt-cube`
4×	`flip3--` `flip3-+` `frac-add` `sum-log` `flip--` `flip-+`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`+-commutative` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`neg-mul-1` `associate-+l+` `unsub-neg`

Counts

4 → 98

Calls

4 calls:

9.0ms	(* t (- y z))
3.0ms	(+ x (* t (- y z)))
12.0ms	(* (- x) (- y z))
11.0ms	(+ (+ x (* t (- y z))) (* (- x) (- y z)))

series163.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* t (- y z))
42.0ms	(+ x (* t (- y z)))
34.0ms	(* (- x) (- y z))
53.0ms	(+ (+ x (* t (- y z))) (* (- x) (- y z)))

simplify666.0ms

Counts

110 → 110

Iterations

Useful iterations: done (664.0ms)

Iter	Nodes	Cost
0	159	1355
1	477	1180
2	2086	1118
done	5000	1112

prune220.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

12.0ms	(- (+ x (* t (- y z))) (* x y))
3.0ms	(+ x (* t (- y z)))
9.0ms	(* t (- y z))
39.0ms	(+ (- (+ x (* t (- y z))) (* x y)) (* (- x) (- z)))

series169.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (+ x (* t (- y z))) (* x y))
41.0ms	(+ x (* t (- y z)))
34.0ms	(* t (- y z))
54.0ms	(+ (- (+ x (* t (- y z))) (* x y)) (* (- x) (- z)))

simplify506.0ms

Counts

88 → 88

Iterations

Useful iterations: done (504.0ms)

Iter	Nodes	Cost
0	129	1105
1	356	1010
2	1428	916
done	5000	839

prune179.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x)) (cbrt (- x)))
0.6b	(cbrt (- x))
0.6b	(cbrt (- x))
0.6b	(cbrt (- x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

78×	`cbrt-prod`
37×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
29×	`add-cube-cbrt`
23×	`distribute-rgt-neg-in`
21×	`distribute-lft-neg-in`
15×	`swap-sqr`
13×	`associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3`
7×	`neg-mul-1`
6×	`add-exp-log`
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 → 117

Calls

4 calls:

13.0ms	(* (cbrt (- x)) (cbrt (- x)))
1.0ms	(cbrt (- x))
1.0ms	(cbrt (- x))
1.0ms	(cbrt (- x))

series803.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(* (cbrt (- x)) (cbrt (- x)))
201.0ms	(cbrt (- x))
185.0ms	(cbrt (- x))
190.0ms	(cbrt (- x))

simplify1.4s

Counts

129 → 129

Iterations

Useful iterations: 3 (316.0ms)

Iter	Nodes	Cost
0	91	1056
1	154	970
2	576	885
3	2127	840
done	5000	840

prune383.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes113.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	23
1	18	23
done	18	23

end0.0ms

sample604.0ms

Algorithm

intervals

Results

292.0ms

12332×

body

valid