Details

sample34.0ms

Algorithm

intervals

Results

14.0ms

344×

body

valid

simplify1.3s

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	1748	9
done	5001	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite63.0ms

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:

11.0ms	(+ (* x y) (* (- 1.0 x) z))
51.0ms	(* (- 1.0 x) z)

series103.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(+ (* x y) (* (- 1.0 x) z))
39.0ms	(* (- 1.0 x) z)

simplify620.0ms

Counts

39 → 39

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	71	405
1	190	379
2	769	345
done	5001	345

prune91.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)

rewrite29.0ms

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 z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.6s

Counts

4 → 12

Calls

4 calls:

706.0ms	(* (cbrt z) (cbrt z))
326.0ms	(cbrt z)
315.0ms	(cbrt z)
275.0ms	(cbrt z)

simplify1.1s

Counts

85 → 85

Iterations

Useful iterations: done (1.1s)

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

prune321.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
3.8b	(* (- (* 1.0 1.0) (* x x)) z)
6.9b	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

rewrite139.0ms

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:

38.0ms	(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
52.0ms	(* (- (* 1.0 1.0) (* x x)) z)
46.0ms	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

series222.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
59.0ms	(* (- (* 1.0 1.0) (* x x)) z)
88.0ms	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

simplify1.1s

Counts

68 → 68

Iterations

Useful iterations: 2 (282.0ms)

Iter	Nodes	Cost
0	122	1163
1	382	1088
2	2264	948
done	5001	948

prune166.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
4×	`associate-+r+`
3×	`sub-neg` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `distribute-lft-in` `add-cbrt-cube`
1×	`+-commutative` `flip3--` `distribute-rgt-out--` `flip3-+` `diff-log` `sum-log` `flip--` `flip-+`

Counts

2 → 28

Calls

2 calls:

9.0ms	(- z (* x z))
15.0ms	(+ (* x y) (* 1.0 (- z (* x z))))

series116.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(- z (* x z))
60.0ms	(+ (* x y) (* 1.0 (- z (* x z))))

simplify2.0s

Counts

34 → 34

Iterations

Useful iterations: 3 (562.0ms)

Iter	Nodes	Cost
0	60	419
1	175	405
2	601	365
3	3328	363
done	5000	363

prune104.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes116.0ms

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	9	11
1	13	11
done	13	11

end0.0ms

sample881.0ms

Algorithm

intervals

Results

422.0ms

10160×

body

valid