Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

389×

body

valid

simplify24.0s

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	1227	9
8	2350	9
9	2939	9
10	3120	9
11	3425	9
12	3756	9
13	4161	9
14	4491	9
15	4758	9
16	4782	9
done	4782	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))

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:

3.0ms	(+ x (* (- y z) (- t x)))
17.0ms	(* (- y z) (- t x))

series93.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(+ x (* (- y z) (- t x)))
37.0ms	(* (- y z) (- t x))

simplify2.0s

Counts

55 → 55

Iterations

Useful iterations: 3 (833.0ms)

Iter	Nodes	Cost
0	110	687
1	290	651
2	1057	611
3	4703	609
done	5000	609

prune323.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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)))
13.0ms	(* (- x) (- y z))
10.0ms	(* t (- y z))

series172.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ x (* t (- y z)))
56.0ms	(+ (+ x (* t (- y z))) (* (- x) (- y z)))
36.0ms	(* (- x) (- y z))
39.0ms	(* t (- y z))

simplify632.0ms

Counts

110 → 110

Iterations

Useful iterations: done (629.0ms)

Iter	Nodes	Cost
0	159	1355
1	464	1180
2	1842	1118
done	5000	1112

prune237.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

7.0ms	(+ x (+ (* y t) (* (- z) t)))
3.0ms	(+ (* y t) (* (- z) t))
43.0ms	(+ (+ x (+ (* y t) (* (- z) t))) (* (- x) (- y z)))
12.0ms	(* (- x) (- y z))

series168.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ x (+ (* y t) (* (- z) t)))
32.0ms	(+ (* y t) (* (- z) t))
57.0ms	(+ (+ x (+ (* y t) (* (- z) t))) (* (- x) (- y z)))
36.0ms	(* (- x) (- y z))

simplify693.0ms

Counts

102 → 102

Iterations

Useful iterations: done (691.0ms)

Iter	Nodes	Cost
0	162	1585
1	509	1216
2	2094	1157
done	5000	1150

prune233.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

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))

series820.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(* (cbrt (- x)) (cbrt (- x)))
200.0ms	(cbrt (- x))
201.0ms	(cbrt (- x))
197.0ms	(cbrt (- x))

simplify1.3s

Counts

129 → 129

Iterations

Useful iterations: 4 (619.0ms)

Iter	Nodes	Cost
0	91	1056
1	151	957
2	407	885
3	1103	840
4	2528	795
done	5000	795

prune372.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes129.0ms

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

sample590.0ms

Algorithm

intervals

Results

289.0ms

12244×

body

valid