Details

sample39.0ms

Algorithm

intervals

Results

17.0ms

328×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	20	9
3	34	9
4	55	9
5	65	9
6	71	9
7	88	9
8	122	9
9	305	9
10	1233	9
done	5000	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* (- x 1.0) z))
0.0b	(* (- x 1.0) z)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

17.0ms	(+ (* x y) (* (- x 1.0) z))
31.0ms	(* (- x 1.0) z)

series88.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(+ (* x y) (* (- x 1.0) z))
35.0ms	(* (- x 1.0) z)

simplify533.0ms

Counts

39 → 39

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	71	405
1	192	373
2	766	345
done	5000	345

prune83.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- x 1.0) z)) (cbrt (* (- x 1.0) z)))
0.6b	(cbrt (* (- x 1.0) z))
0.6b	(cbrt (* (- x 1.0) z))
0.6b	(cbrt (* (- x 1.0) z))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

45.0ms	(* (cbrt (* (- x 1.0) z)) (cbrt (* (- x 1.0) z)))
24.0ms	(cbrt (* (- x 1.0) z))
15.0ms	(cbrt (* (- x 1.0) z))
15.0ms	(cbrt (* (- x 1.0) z))

series444.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* (cbrt (* (- x 1.0) z)) (cbrt (* (- x 1.0) z)))
93.0ms	(cbrt (* (- x 1.0) z))
114.0ms	(cbrt (* (- x 1.0) z))
129.0ms	(cbrt (* (- x 1.0) z))

simplify625.0ms

Counts

84 → 84

Iterations

Useful iterations: done (622.0ms)

Iter	Nodes	Cost
0	150	1569
1	375	1444
2	1193	1304
done	5001	1227

prune353.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x 1.0) z)
0.0b	(sqrt (+ (* x y) (* (- x 1.0) z)))
0.0b	(sqrt (+ (* x y) (* (- x 1.0) z)))
0.3b	(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
24×	`sqrt-prod`
23×	`pow1`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt` `sqrt-div`
11×	`associate-l`
10×	`sqrt-pow1` `pow1/2`
9×	`associate-r`
8×	`add-exp-log` `flip3-+` `swap-sqr` `add-cbrt-cube` `flip-+`
5×	`pow-prod-up` `unswap-sqr`
4×	`frac-times` `pow-prod-down` `associate-*l/` `add-log-exp`
3×	`pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `prod-exp` `-commutative` `cbrt-unprod`
1×	`pow2` `flip3--` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 109

Calls

4 calls:

41.0ms	(* (- x 1.0) z)
8.0ms	(sqrt (+ (* x y) (* (- x 1.0) z)))
8.0ms	(sqrt (+ (* x y) (* (- x 1.0) z)))
66.0ms	(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

series294.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (- x 1.0) z)
118.0ms	(sqrt (+ (* x y) (* (- x 1.0) z)))
95.0ms	(sqrt (+ (* x y) (* (- x 1.0) z)))
46.0ms	(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

simplify1.6s

Counts

121 → 121

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	145	2497
1	352	1784
2	1625	1640
done	5001	1601

prune430.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes102.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

468.0ms

10185×

body

valid