Details

sample18.0ms

Algorithm

intervals

Results

6.0ms

314×

body

valid

simplify3.0s

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: 2.3b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (* (- 1.0 y) z))
0.0b	(* (- 1.0 y) z)
2.2b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite48.0ms

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:

5.0ms	(- 1.0 (* (- 1.0 y) z))
24.0ms	(* (- 1.0 y) z)
17.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series109.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(- 1.0 (* (- 1.0 y) z))
32.0ms	(* (- 1.0 y) z)
51.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify1.4s

Counts

67 → 67

Iterations

Useful iterations: 3 (600.0ms)

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

prune123.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1.0 x) (* (* x z) (- y 1.0)))
2.7b	(* (* x z) (- y 1.0))

rewrite41.0ms

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))

series115.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(+ (* 1.0 x) (* (* x z) (- y 1.0)))
49.0ms	(* (* x z) (- y 1.0))

simplify3.1s

Counts

47 → 47

Iterations

Useful iterations: 3 (1.4s)

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

prune86.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1.0 x) (+ (* (* x z) y) (* (* x z) (- 1.0))))
0.0b	(+ (* (* x z) y) (* (* x z) (- 1.0)))
2.8b	(* (* x z) y)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `sum-log` `distribute-rgt-neg-out`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `associate-+r-` `flip3-+` `unsub-neg` `flip-+`
1×	`associate-+r+` `associate-l` `*-commutative` `distribute-lft-out`

Counts

3 → 47

Calls

3 calls:

41.0ms	(+ (* 1.0 x) (+ (* (* x z) y) (* (* x z) (- 1.0))))
17.0ms	(+ (* (* x z) y) (* (* x z) (- 1.0)))
17.0ms	(* (* x z) y)

series177.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(+ (* 1.0 x) (+ (* (* x z) y) (* (* x z) (- 1.0))))
68.0ms	(+ (* (* x z) y) (* (* x z) (- 1.0)))
43.0ms	(* (* x z) y)

simplify889.0ms

Counts

56 → 56

Iterations

Useful iterations: done (888.0ms)

Iter	Nodes	Cost
0	93	811
1	284	581
2	1299	526
done	5000	489

prune110.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.8b	(* (* (* x z) (* (cbrt y) (cbrt y))) (cbrt y))
2.2b	(* (* x z) (* (cbrt y) (cbrt y)))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
4×	`add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
104.0ms	(* (* (* x z) (* (cbrt y) (cbrt y))) (cbrt y))
32.0ms	(* (* x z) (* (cbrt y) (cbrt y)))

series530.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt y)
206.0ms	(cbrt y)
50.0ms	(* (* (* x z) (* (cbrt y) (cbrt y))) (cbrt y))
105.0ms	(* (* x z) (* (cbrt y) (cbrt y)))

simplify1.3s

Counts

86 → 86

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	95	943
1	245	906
2	1063	600
done	5000	521

prune158.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes223.0ms

Accuracy

95% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.6b

bsearch1.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	72
1	41	72
2	45	72
3	52	72
done	52	72

end0.0ms

sample478.0ms

Algorithm

intervals

Results

201.0ms

10070×

body

valid