Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

324×

body

valid

simplify4.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	34	9
3	84	9
4	165	9
5	331	9
6	375	9
7	434	9
8	509	9
9	592	9
10	670	9
11	843	9
12	1217	9
13	1336	9
14	1453	9
done	1453	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 y) z)
2.4b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`-un-lft-identity` `associate-l*`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 46

Calls

2 calls:

35.0ms	(* (- 1.0 y) z)
33.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series131.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* (- 1.0 y) z)
90.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify2.1s

Counts

52 → 52

Iterations

Useful iterations: 3 (860.0ms)

Iter	Nodes	Cost
0	93	536
1	212	518
2	649	458
3	2455	450
done	5001	450

prune208.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1.0 x) (* (* x z) (- y 1.0)))
3.2b	(* (* x z) (- y 1.0))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

10.0ms	(+ (* 1.0 x) (* (* x z) (- y 1.0)))
30.0ms	(* (* x z) (- y 1.0))

series170.0ms

Counts

2 → 6

Calls

2 calls:

100.0ms	(+ (* 1.0 x) (* (* x z) (- y 1.0)))
70.0ms	(* (* x z) (- y 1.0))

simplify5.0s

Counts

47 → 47

Iterations

Useful iterations: 3 (2.2s)

Iter	Nodes	Cost
0	89	589
1	255	557
2	994	453
3	4801	451
done	5001	451

prune168.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- y 1.0))
0.2b	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
0.8b	(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
2.5b	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite557.0ms

Algorithm

rewrite-expression-head

Rules

80×	`cbrt-div`
44×	`associate-*r/`
41×	`pow1`
40×	`flip3--` `flip--`
38×	`cbrt-prod`
36×	`add-exp-log` `frac-times`
35×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
23×	`pow-prod-down`
22×	`prod-exp` `cbrt-unprod`
21×	`add-cbrt-cube`
18×	`associate-*l/`
17×	`associate-r`
15×	`add-cube-cbrt`
10×	`swap-sqr` `associate-l`
8×	`distribute-lft-out--`
7×	`pow1/3`
6×	`difference-of-squares`
4×	`add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 159

Calls

4 calls:

4.0ms	(cbrt (- y 1.0))
78.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
344.0ms	(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
121.0ms	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series622.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt (- y 1.0))
160.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
97.0ms	(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
216.0ms	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify2.0s

Counts

171 → 171

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	287	3542
1	763	3336
2	2663	2889
done	5001	2699

prune628.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1.0 x) (/ (* (* x z) (- (* y y) (* 1.0 1.0))) (+ y 1.0)))
6.3b	(/ (* (* x z) (- (* y y) (* 1.0 1.0))) (+ y 1.0))
9.5b	(* (* x z) (- (* y y) (* 1.0 1.0)))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

29.0ms	(+ (* 1.0 x) (/ (* (* x z) (- (* y y) (* 1.0 1.0))) (+ y 1.0)))
55.0ms	(/ (* (* x z) (- (* y y) (* 1.0 1.0))) (+ y 1.0))
43.0ms	(* (* x z) (- (* y y) (* 1.0 1.0)))

series506.0ms

Counts

3 → 9

Calls

3 calls:

201.0ms	(+ (* 1.0 x) (/ (* (* x z) (- (* y y) (* 1.0 1.0))) (+ y 1.0)))
203.0ms	(/ (* (* x z) (- (* y y) (* 1.0 1.0))) (+ y 1.0))
102.0ms	(* (* x z) (- (* y y) (* 1.0 1.0)))

simplify1.5s

Counts

74 → 74

Iterations

Useful iterations: 2 (482.0ms)

Iter	Nodes	Cost
0	139	1471
1	447	1391
2	2029	1145
done	5000	1145

prune215.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes353.0ms

Accuracy

72.2% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.7b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	19	55
1	28	45
done	28	45

end0.0ms

sample1.3s

Algorithm

intervals

Results

479.0ms

10086×

body

valid