Details

sample49.0ms

Algorithm

intervals

Results

20.0ms

392×

body

valid

simplify23.0s

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

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite90.0ms

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:

21.0ms	(+ x (* (- y z) (- t x)))
66.0ms	(* (- y z) (- t x))

series146.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(+ x (* (- y z) (- t x)))
56.0ms	(* (- y z) (- t x))

simplify995.0ms

Counts

55 → 55

Iterations

Useful iterations: done (993.0ms)

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

prune185.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (- y z)) (cbrt (- y z)))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

52.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
15.0ms	(cbrt (- y z))
7.0ms	(cbrt (- y z))
7.0ms	(cbrt (- y z))

series860.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
228.0ms	(cbrt (- y z))
226.0ms	(cbrt (- y z))
220.0ms	(cbrt (- y z))

simplify2.5s

Counts

113 → 113

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	131	1384
1	262	1281
2	616	1223
3	1325	1128
4	3508	1080
done	5001	1032

prune529.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
0.6b	(* (cbrt (pow (cbrt (- y z)) 2)) (cbrt (pow (cbrt (- y z)) 2)))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

167×	`cbrt-prod`
85×	`add-sqr-sqrt`
60×	`unpow-prod-down`
43×	`*-un-lft-identity`
36×	`unswap-sqr`
23×	`add-cube-cbrt`
18×	`swap-sqr`
16×	`associate-r` `associate-l` `unpow2` `sqr-pow`
11×	`pow1`
9×	`pow1/3` `distribute-lft-out--`
7×	`difference-of-squares`
6×	`add-exp-log` `cbrt-div`
4×	`add-cbrt-cube` `add-log-exp`
3×	`flip3--` `flip--`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 149

Calls

4 calls:

8.0ms	(cbrt (- y z))
10.0ms	(cbrt (- y z))
8.0ms	(cbrt (- y z))
130.0ms	(* (cbrt (pow (cbrt (- y z)) 2)) (cbrt (pow (cbrt (- y z)) 2)))

series886.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(cbrt (- y z))
212.0ms	(cbrt (- y z))
261.0ms	(cbrt (- y z))
179.0ms	(* (cbrt (pow (cbrt (- y z)) 2)) (cbrt (pow (cbrt (- y z)) 2)))

simplify1.9s

Counts

161 → 161

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	201	3108
1	374	2662
2	790	2305
3	1679	2241
done	5001	2185

prune731.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y z))
0.6b	(cbrt (+ y z))
2.7b	(- (* y y) (* z z))
24.0b	(cbrt (- (* y y) (* z z)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
11×	`*-un-lft-identity`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3--` `pow1/3` `flip--` `difference-of-squares`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 56

Calls

4 calls:

4.0ms	(cbrt (- y z))
4.0ms	(cbrt (+ y z))
20.0ms	(- (* y y) (* z z))
13.0ms	(cbrt (- (* y y) (* z z)))

series571.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(cbrt (- y z))
173.0ms	(cbrt (+ y z))
41.0ms	(- (* y y) (* z z))
153.0ms	(cbrt (- (* y y) (* z z)))

simplify1.6s

Counts

68 → 68

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	149	777
1	329	742
2	785	676
3	2049	653
done	5001	628

prune409.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes253.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	10	9
done	10	9

end0.0ms

sample1.9s

Algorithm

intervals

Results

587.0ms

12293×

body

valid