Details

sample31.0ms

Algorithm

intervals

Results

15.0ms

328×

body

valid

simplify978.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

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:

14.0ms	(+ (* x y) (* (- 1.0 x) z))
30.0ms	(* (- 1.0 x) z)

series80.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (* x y) (* (- 1.0 x) z))
38.0ms	(* (- 1.0 x) z)

simplify559.0ms

Counts

39 → 39

Iterations

Useful iterations: 2 (91.0ms)

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

prune84.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite24.0ms

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:

17.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series973.0ms

Counts

4 → 12

Calls

4 calls:

297.0ms	(* (cbrt z) (cbrt z))
211.0ms	(cbrt z)
240.0ms	(cbrt z)
224.0ms	(cbrt z)

simplify1.2s

Counts

85 → 85

Iterations

Useful iterations: done (1.2s)

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

prune252.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 1.0) (* x x))
0.0b	(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
4.1b	(* (- (* 1.0 1.0) (* x x)) z)
4.3b	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

8.0ms	(- (* 1.0 1.0) (* x x))
31.0ms	(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
42.0ms	(* (- (* 1.0 1.0) (* x x)) z)
35.0ms	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

series211.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* 1.0 1.0) (* x x))
66.0ms	(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
42.0ms	(* (- (* 1.0 1.0) (* x x)) z)
61.0ms	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

simplify1.3s

Counts

84 → 84

Iterations

Useful iterations: 2 (287.0ms)

Iter	Nodes	Cost
0	129	1337
1	397	1253
2	2289	1087
done	5002	1087

prune256.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 1.0) (* x x))
0.0b	(/ z (+ 1.0 x))
0.0b	(+ (* x y) (* (- (* 1.0 1.0) (* x x)) (/ z (+ 1.0 x))))
8.8b	(* (- (* 1.0 1.0) (* x x)) (/ z (+ 1.0 x)))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

12.0ms	(- (* 1.0 1.0) (* x x))
18.0ms	(/ z (+ 1.0 x))
13.0ms	(+ (* x y) (* (- (* 1.0 1.0) (* x x)) (/ z (+ 1.0 x))))
76.0ms	(* (- (* 1.0 1.0) (* x x)) (/ z (+ 1.0 x)))

series263.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (* 1.0 1.0) (* x x))
45.0ms	(/ z (+ 1.0 x))
84.0ms	(+ (* x y) (* (- (* 1.0 1.0) (* x x)) (/ z (+ 1.0 x))))
76.0ms	(* (- (* 1.0 1.0) (* x x)) (/ z (+ 1.0 x)))

simplify2.4s

Counts

111 → 111

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	163	1698
1	480	1592
2	2747	1426
done	5000	1410

prune371.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes95.0ms

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	8	9
1	11	9
done	11	9

end0.0ms

sample915.0ms

Algorithm

intervals

Results

418.0ms

10185×

body

valid