Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

399×

body

valid

simplify17.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	70	9
4	174	9
5	369	9
6	691	9
7	1267	9
8	2071	9
9	2784	9
10	3290	9
11	3847	9
12	4252	9
13	4871	9
done	5000	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

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:

4.0ms	(+ x (* (- y z) (- t x)))
17.0ms	(* (- y z) (- t x))

series94.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(+ x (* (- y z) (- t x)))
41.0ms	(* (- y z) (- t x))

simplify2.1s

Counts

55 → 55

Iterations

Useful iterations: 3 (758.0ms)

Iter	Nodes	Cost
0	110	687
1	290	651
2	1057	611
3	4692	609
done	5000	609

prune126.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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)))

rewrite42.0ms

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)))
15.0ms	(* (- x) (- y z))
11.0ms	(+ (+ x (* t (- y z))) (* (- x) (- y z)))

series173.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* t (- y z))
41.0ms	(+ x (* t (- y z)))
39.0ms	(* (- x) (- y z))
54.0ms	(+ (+ x (* t (- y z))) (* (- x) (- y z)))

simplify696.0ms

Counts

110 → 110

Iterations

Useful iterations: done (693.0ms)

Iter	Nodes	Cost
0	159	1355
1	464	1180
2	1915	1118
done	5000	1112

prune252.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

10.0ms	(* t (- y z))
11.0ms	(+ x (- (* t (- y z)) (* x y)))
6.0ms	(- (* t (- y z)) (* x y))
71.0ms	(+ (+ x (- (* t (- y z)) (* x y))) (* (- x) (- z)))

series173.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* t (- y z))
46.0ms	(+ x (- (* t (- y z)) (* x y)))
35.0ms	(- (* t (- y z)) (* x y))
57.0ms	(+ (+ x (- (* t (- y z)) (* x y))) (* (- x) (- z)))

simplify520.0ms

Counts

93 → 93

Iterations

Useful iterations: done (517.0ms)

Iter	Nodes	Cost
0	130	1180
1	345	1077
2	1281	1015
done	5001	955

prune210.0ms

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)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 73

Calls

4 calls:

8.0ms	(* (cbrt x) (cbrt x))
0.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series759.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(* (cbrt x) (cbrt x))
187.0ms	(cbrt x)
182.0ms	(cbrt x)
178.0ms	(cbrt x)

simplify1.4s

Counts

85 → 85

Iterations

Useful iterations: 3 (334.0ms)

Iter	Nodes	Cost
0	61	524
1	115	417
2	381	397
3	1865	379
done	5000	379

prune232.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	21
1	20	21
2	27	21
3	31	21
4	33	21
done	33	21

end0.0ms

sample585.0ms

Algorithm

intervals

Results

290.0ms

12332×

body

valid