Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

316×

body

valid

simplify301.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	20	9
3	29	9
4	38	9
5	45	9
6	56	9
7	77	9
8	114	9
9	162	9
10	194	9
11	204	9
12	230	9
13	239	9
14	240	9
done	240	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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:

9.0ms	(* (- 1.0 x) y)
5.0ms	(+ (* (- 1.0 x) y) (* x z))

series60.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (- 1.0 x) y)
32.0ms	(+ (* (- 1.0 x) y) (* x z))

simplify1.5s

Counts

39 → 39

Iterations

Useful iterations: 3 (441.0ms)

Iter	Nodes	Cost
0	71	405
1	184	375
2	657	347
3	2735	345
done	5000	345

prune93.0ms

Pruning

6 alts after pruning (5 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))

rewrite46.0ms

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:

33.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
2.0ms	(cbrt (- 1.0 x))
2.0ms	(cbrt (- 1.0 x))
2.0ms	(cbrt (- 1.0 x))

series606.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
89.0ms	(cbrt (- 1.0 x))
285.0ms	(cbrt (- 1.0 x))
125.0ms	(cbrt (- 1.0 x))

simplify953.0ms

Counts

113 → 113

Iterations

Useful iterations: 3 (360.0ms)

Iter	Nodes	Cost
0	148	1569
1	318	1431
2	820	1360
3	2268	1241
done	5000	1241

prune321.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (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)))

rewrite52.0ms

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:

36.0ms	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
4.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
4.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
4.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))

series755.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
183.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
182.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
180.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))

simplify1.1s

Counts

99 → 99

Iterations

Useful iterations: 3 (442.0ms)

Iter	Nodes	Cost
0	157	2828
1	379	2647
2	1015	2470
3	3190	2046
done	5000	2046

prune287.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
3.1b	(* (- (* 1.0 1.0) (* x x)) y)
6.7b	(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
5×	`pow1` `add-log-exp`
4×	`times-frac` `associate-l` `associate-l/` `associate-/r`
3×	`associate-r`
2×	`cbrt-undiv` `flip3--` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `flip-+` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `frac-2neg` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `difference-of-squares` `unswap-sqr`

Counts

3 → 59

Calls

3 calls:

20.0ms	(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
10.0ms	(* (- (* 1.0 1.0) (* x x)) y)
9.0ms	(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

series161.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
40.0ms	(* (- (* 1.0 1.0) (* x x)) y)
61.0ms	(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

simplify573.0ms

Counts

68 → 68

Iterations

Useful iterations: 2 (138.0ms)

Iter	Nodes	Cost
0	122	1163
1	364	1090
2	1487	958
done	5000	958

prune157.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes103.0ms

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

sample452.0ms

Algorithm

intervals

Results

244.0ms

10036×

body

valid