Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

389×

body

valid

simplify16.4s

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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))

series89.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(+ x (* (- y z) (- t x)))
39.0ms	(* (- y z) (- t x))

simplify2.0s

Counts

55 → 55

Iterations

Useful iterations: 3 (712.0ms)

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

prune127.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

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:

3.0ms	(+ x (* t (- y z)))
11.0ms	(+ (+ x (* t (- y z))) (* (- x) (- y z)))
12.0ms	(* (- x) (- y z))
10.0ms	(* t (- y z))

series169.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ x (* t (- y z)))
52.0ms	(+ (+ x (* t (- y z))) (* (- x) (- y z)))
39.0ms	(* (- x) (- y z))
36.0ms	(* t (- y z))

simplify676.0ms

Counts

110 → 110

Iterations

Useful iterations: done (674.0ms)

Iter	Nodes	Cost
0	159	1355
1	464	1180
2	1916	1118
done	5001	1112

prune235.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

11.0ms	(+ (+ x (* y t)) (* (- z) t))
2.0ms	(+ x (* y t))
39.0ms	(+ (+ (+ x (* y t)) (* (- z) t)) (* (- x) (- y z)))
12.0ms	(* (- x) (- y z))

series153.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (+ x (* y t)) (* (- z) t))
24.0ms	(+ x (* y t))
55.0ms	(+ (+ (+ x (* y t)) (* (- z) t)) (* (- x) (- y z)))
36.0ms	(* (- x) (- y z))

simplify903.0ms

Counts

98 → 98

Iterations

Useful iterations: done (901.0ms)

Iter	Nodes	Cost
0	160	1496
1	496	1265
2	2060	1190
done	5001	1176

prune240.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

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))

series838.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(* (cbrt (- x)) (cbrt (- x)))
209.0ms	(cbrt (- x))
201.0ms	(cbrt (- x))
200.0ms	(cbrt (- x))

simplify1.3s

Counts

129 → 129

Iterations

Useful iterations: 3 (367.0ms)

Iter	Nodes	Cost
0	91	1056
1	151	957
2	451	885
3	1913	840
done	5000	840

prune368.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes131.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	17
1	23	17
2	29	17
3	31	17
done	31	17

end0.0ms

sample613.0ms

Algorithm

intervals

Results

304.0ms

12244×

body

valid