Details

sample27.0ms

Algorithm

intervals

Results

11.0ms

325×

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (* (- 1.0 y) z))
0.0b	(* (- 1.0 y) z)
3.6b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

6.0ms	(- 1.0 (* (- 1.0 y) z))
28.0ms	(* (- 1.0 y) z)
22.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series124.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(- 1.0 (* (- 1.0 y) z))
33.0ms	(* (- 1.0 y) z)
62.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify2.0s

Counts

67 → 67

Iterations

Useful iterations: 3 (850.0ms)

Iter	Nodes	Cost
0	102	720
1	234	695
2	702	621
3	2536	605
done	5000	605

prune147.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1.0 x) (* (* x z) (- y 1.0)))
3.7b	(* (* x z) (- y 1.0))

rewrite44.0ms

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:

13.0ms	(+ (* 1.0 x) (* (* x z) (- y 1.0)))
29.0ms	(* (* x z) (- y 1.0))

series151.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(+ (* 1.0 x) (* (* x z) (- y 1.0)))
60.0ms	(* (* x z) (- y 1.0))

simplify4.2s

Counts

47 → 47

Iterations

Useful iterations: 3 (1.9s)

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

prune146.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- y 1.0))
0.2b	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
1.1b	(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
2.7b	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite535.0ms

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:

8.0ms	(cbrt (- y 1.0))
63.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
362.0ms	(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
89.0ms	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series611.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(cbrt (- y 1.0))
164.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
97.0ms	(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
236.0ms	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify1.8s

Counts

171 → 171

Iterations

Useful iterations: done (1.8s)

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

prune983.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1.0 x) (/ (* (* x z) (- (* y y) (* 1.0 1.0))) (+ y 1.0)))
8.5b	(* (* x z) (- (* y y) (* 1.0 1.0)))
10.1b	(/ (* (* x z) (- (* y y) (* 1.0 1.0))) (+ y 1.0))

rewrite189.0ms

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)))
78.0ms	(* (* x z) (- (* y y) (* 1.0 1.0)))
80.0ms	(/ (* (* x z) (- (* y y) (* 1.0 1.0))) (+ y 1.0))

series449.0ms

Counts

3 → 9

Calls

3 calls:

181.0ms	(+ (* 1.0 x) (/ (* (* x z) (- (* y y) (* 1.0 1.0))) (+ y 1.0)))
91.0ms	(* (* x z) (- (* y y) (* 1.0 1.0)))
177.0ms	(/ (* (* x z) (- (* y y) (* 1.0 1.0))) (+ y 1.0))

simplify1.3s

Counts

74 → 74

Iterations

Useful iterations: 2 (399.0ms)

Iter	Nodes	Cost
0	139	1471
1	447	1391
2	2034	1145
done	5000	1145

prune195.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes394.0ms

Accuracy

89.1% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.7b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	19	47
1	28	37
done	28	37

end0.0ms

sample1.0s

Algorithm

intervals

Results

453.0ms

10167×

body

valid