Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

326×

body

valid

simplify30.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4
done	449	4

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

rewrite31.0ms

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:

21.0ms	(* (- 1.0 x) z)
9.0ms	(+ (* x y) (* (- 1.0 x) z))

series67.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* (- 1.0 x) z)
36.0ms	(+ (* x y) (* (- 1.0 x) z))

simplify108.0ms

Counts

39 → 39

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	185	183
1	776	166
2	4093	166
3	5001	166
done	5001	166

prune85.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
0.2b	(cbrt (- 1.0 x))
0.2b	(cbrt (- 1.0 x))
0.2b	(cbrt (- 1.0 x))

rewrite58.0ms

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:

41.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
4.0ms	(cbrt (- 1.0 x))
4.0ms	(cbrt (- 1.0 x))
4.0ms	(cbrt (- 1.0 x))

series366.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
87.0ms	(cbrt (- 1.0 x))
87.0ms	(cbrt (- 1.0 x))
92.0ms	(cbrt (- 1.0 x))

simplify136.0ms

Counts

113 → 113

Iterations

Useful iterations: 3 (128.0ms)

Iter	Nodes	Cost
0	316	847
1	1003	807
2	4432	753
3	5001	749
done	5001	749

prune305.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 x))
0.2b	(cbrt (- 1.0 x))
0.2b	(cbrt (- 1.0 x))
0.2b	(cbrt (- 1.0 x))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

4.0ms	(cbrt (- 1.0 x))
4.0ms	(cbrt (- 1.0 x))
4.0ms	(cbrt (- 1.0 x))
4.0ms	(cbrt (- 1.0 x))

series356.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(cbrt (- 1.0 x))
92.0ms	(cbrt (- 1.0 x))
88.0ms	(cbrt (- 1.0 x))
85.0ms	(cbrt (- 1.0 x))

simplify52.0ms

Counts

72 → 72

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	183	516
1	460	492
2	1484	480
3	5001	452
done	5001	452

prune306.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

59×	`pow1`
32×	`sqrt-pow1`
22×	`pow-prod-down`
18×	`associate-*l/`
16×	`sqrt-div`
12×	`pow1/2`
10×	`add-sqr-sqrt` `pow-prod-up`
8×	`add-cube-cbrt` `flip3--` `*-un-lft-identity` `flip--`
6×	`add-exp-log` `sqrt-prod` `pow-sqr` `add-cbrt-cube` `add-log-exp`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l`
2×	`associate-*r/`
1×	`+-commutative` `pow2` `flip3-+` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

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

series294.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* x y) (* (sqrt (* (- 1.0 x) z)) (sqrt (* (- 1.0 x) z))))
93.0ms	(sqrt (* (- 1.0 x) z))
95.0ms	(sqrt (* (- 1.0 x) z))
67.0ms	(* (sqrt (* (- 1.0 x) z)) (sqrt (* (- 1.0 x) z)))

simplify52.0ms

Counts

106 → 106

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	289	614
1	1306	523
2	5001	503
done	5001	503

prune211.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes69.0ms

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	11	4
1	11	4
done	11	4

end0.0ms

sample510.0ms

Algorithm

intervals

Results

221.0ms

10194×

body

valid