Details

sample48.0ms

Algorithm

intervals

Results

19.0ms

341×

body

valid

simplify1.7s

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	53	9
5	64	9
6	75	9
7	96	9
8	136	9
9	377	9
10	1759	9
done	5001	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite68.0ms

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:

34.0ms	(* (- 1.0 x) y)
32.0ms	(+ (* (- 1.0 x) y) (* x z))

series100.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(* (- 1.0 x) y)
52.0ms	(+ (* (- 1.0 x) y) (* x z))

simplify667.0ms

Counts

39 → 39

Iterations

Useful iterations: done (665.0ms)

Iter	Nodes	Cost
0	71	405
1	189	375
2	737	347
done	5001	345

prune218.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 73

Calls

4 calls:

22.0ms	(* (cbrt y) (cbrt y))
2.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.4s

Counts

4 → 12

Calls

4 calls:

381.0ms	(* (cbrt y) (cbrt y))
330.0ms	(cbrt y)
314.0ms	(cbrt y)
328.0ms	(cbrt y)

simplify1.4s

Counts

85 → 85

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	61	524
1	139	417
2	735	397
done	5000	383

prune510.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
0.5b	(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.5b	(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.5b	(cbrt (+ (* (- 1.0 x) y) (* x z)))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

132.0ms	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
18.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
16.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
27.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))

series1.1s

Counts

4 → 12

Calls

4 calls:

310.0ms	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
257.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
262.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
263.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))

simplify935.0ms

Counts

99 → 99

Iterations

Useful iterations: done (925.0ms)

Iter	Nodes	Cost
0	157	2828
1	403	2647
2	1415	2470
done	5000	2211

prune682.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 x))
0.0b	(+ (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y)) (* x z))
0.1b	(* (sqrt (- 1.0 x)) y)
0.1b	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`-un-lft-identity` `sqrt-div` `associate-l*` `sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*l/`
8×	`flip3--` `flip--`
6×	`add-log-exp`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`associate-r/` `-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `sum-log` `flip-+`

Counts

4 → 85

Calls

4 calls:

12.0ms	(sqrt (- 1.0 x))
66.0ms	(+ (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y)) (* x z))
39.0ms	(* (sqrt (- 1.0 x)) y)
88.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

series304.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(sqrt (- 1.0 x))
67.0ms	(+ (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y)) (* x z))
131.0ms	(* (sqrt (- 1.0 x)) y)
51.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

simplify1.3s

Counts

97 → 97

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	159	1378
1	415	1252
2	1708	958
done	5001	941

prune471.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes278.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

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

506.0ms

10085×

body

valid