Details

sample34.0ms

Algorithm

intervals

Results

13.0ms

377×

body

valid

simplify23.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	80	9
4	251	9
5	528	9
6	909	9
7	1573	9
8	2059	9
9	2666	9
10	2813	9
11	3145	9
12	3217	9
13	3455	9
14	3607	9
15	3932	9
16	3956	9
done	3956	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y z) (- t x)))
0.1b	(* (- y z) (- t x))

rewrite66.0ms

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:

8.0ms	(+ x (* (- y z) (- t x)))
56.0ms	(* (- y z) (- t x))

series155.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(+ x (* (- y z) (- t x)))
61.0ms	(* (- y z) (- t x))

simplify1.1s

Counts

55 → 55

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	110	687
1	291	651
2	1093	611
done	5000	609

prune190.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

13.0ms	(+ x (* (- y z) t))
45.0ms	(* (- x) (- y z))
32.0ms	(+ (+ x (* (- y z) t)) (* (- x) (- y z)))
40.0ms	(* (- y z) t)

series252.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ x (* (- y z) t))
57.0ms	(* (- x) (- y z))
90.0ms	(+ (+ x (* (- y z) t)) (* (- x) (- y z)))
60.0ms	(* (- y z) t)

simplify1.4s

Counts

102 → 102

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	160	1311
1	465	1194
2	1980	1130
done	5001	1101

prune407.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (* z z) (* y z))
1.5b	(- (pow y 3) (pow z 3))
5.6b	(* (- x) (- (pow y 3) (pow z 3)))
31.8b	(/ (* (- x) (- (pow y 3) (pow z 3))) (+ (* y y) (+ (* z z) (* y z))))

rewrite266.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
32×	`difference-of-squares`
30×	`*-un-lft-identity`
25×	`associate-r`
24×	`unpow-prod-down` `cube-prod`
16×	`sqr-pow`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-l` `distribute-lft-out--`
8×	`add-log-exp`
6×	`pow1`
4×	`associate-*r/`
3×	`distribute-lft-neg-in` `sub-neg` `flip3--` `distribute-rgt-neg-in` `times-frac` `associate-/r*` `flip--`
2×	`difference-cubes` `cbrt-undiv` `distribute-lft-neg-out` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`+-commutative` `neg-mul-1` `distribute-rgt-out` `frac-2neg` `diff-log` `distribute-frac-neg` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 126

Calls

4 calls:

8.0ms	(+ (* z z) (* y z))
29.0ms	(- (pow y 3) (pow z 3))
141.0ms	(* (- x) (- (pow y 3) (pow z 3)))
82.0ms	(/ (* (- x) (- (pow y 3) (pow z 3))) (+ (* y y) (+ (* z z) (* y z))))

series456.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ (* z z) (* y z))
79.0ms	(- (pow y 3) (pow z 3))
140.0ms	(* (- x) (- (pow y 3) (pow z 3)))
189.0ms	(/ (* (- x) (- (pow y 3) (pow z 3))) (+ (* y y) (+ (* z z) (* y z))))

simplify2.0s

Counts

138 → 138

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	185	2204
1	567	1938
2	2400	1725
done	5001	1723

prune680.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* (* (- y z) (sqrt t)) (sqrt t))) (* (- x) (- y z)))
0.0b	(* (- x) (- y z))
0.1b	(* (- y z) (sqrt t))
0.2b	(* (* (- y z) (sqrt t)) (sqrt t))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

50.0ms	(+ (+ x (* (* (- y z) (sqrt t)) (sqrt t))) (* (- x) (- y z)))
28.0ms	(* (- x) (- y z))
46.0ms	(* (- y z) (sqrt t))
64.0ms	(* (* (- y z) (sqrt t)) (sqrt t))

series283.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(+ (+ x (* (* (- y z) (sqrt t)) (sqrt t))) (* (- x) (- y z)))
62.0ms	(* (- x) (- y z))
61.0ms	(* (- y z) (sqrt t))
53.0ms	(* (* (- y z) (sqrt t)) (sqrt t))

simplify1.4s

Counts

118 → 118

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	191	1733
1	561	1346
2	2161	1198
done	5000	1167

prune434.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes242.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	16	14
2	20	14
3	21	14
done	21	14

end0.0ms

sample1.3s

Algorithm

intervals

Results

561.0ms

12133×

body

valid