Details

sample32.0ms

Algorithm

intervals

Results

12.0ms

331×

body

valid

simplify400.0ms

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	47	9
5	55	9
6	66	9
7	87	9
8	120	9
9	149	9
10	169	9
11	180	9
12	198	9
13	207	9
done	207	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) (* z (- 1.0 y)))
0.0b	(* z (- 1.0 y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/`
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 → 41

Calls

2 calls:

10.0ms	(+ (* x y) (* z (- 1.0 y)))
22.0ms	(* z (- 1.0 y))

series86.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(+ (* x y) (* z (- 1.0 y)))
40.0ms	(* z (- 1.0 y))

simplify1.4s

Counts

47 → 47

Iterations

Useful iterations: 2 (113.0ms)

Iter	Nodes	Cost
0	77	459
1	195	437
2	557	397
3	2134	397
done	5001	397

prune127.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `distribute-lft-neg-out` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `unsub-neg`

Counts

2 → 26

Calls

2 calls:

14.0ms	(+ (* 1.0 z) (* x y))
48.0ms	(+ (+ (* 1.0 z) (* x y)) (* (- y) z))

series100.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ (* 1.0 z) (* x y))
52.0ms	(+ (+ (* 1.0 z) (* x y)) (* (- y) z))

simplify2.1s

Counts

32 → 32

Iterations

Useful iterations: 3 (693.0ms)

Iter	Nodes	Cost
0	53	453
1	183	413
2	735	358
3	2926	345
done	5000	345

prune91.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/`
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 → 41

Calls

2 calls:

21.0ms	(* y (- x z))
10.0ms	(+ (* 1.0 z) (* y (- x z)))

series96.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(* y (- x z))
44.0ms	(+ (* 1.0 z) (* y (- x z)))

simplify2.4s

Counts

47 → 47

Iterations

Useful iterations: 2 (115.0ms)

Iter	Nodes	Cost
0	76	459
1	193	425
2	633	397
3	2997	397
done	5001	397

prune132.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* y (- x z))) (cbrt (* y (- x z))))
2.8b	(cbrt (* y (- x z)))
2.8b	(cbrt (* y (- x z)))
2.8b	(cbrt (* y (- x z)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

40.0ms	(* (cbrt (* y (- x z))) (cbrt (* y (- x z))))
15.0ms	(cbrt (* y (- x z)))
14.0ms	(cbrt (* y (- x z)))
15.0ms	(cbrt (* y (- x z)))

series923.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(* (cbrt (* y (- x z))) (cbrt (* y (- x z))))
259.0ms	(cbrt (* y (- x z)))
209.0ms	(cbrt (* y (- x z)))
223.0ms	(cbrt (* y (- x z)))

simplify3.0s

Counts

84 → 84

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	115	1174
1	255	1071
2	653	975
3	1682	890
4	4615	843
done	5000	803

prune388.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes81.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample990.0ms

Algorithm

intervals

Results

512.0ms

10090×

body

valid