Details

sample38.0ms

Algorithm

intervals

Results

13.0ms

313×

body

valid

simplify293.0ms

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))

rewrite46.0ms

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:

15.0ms	(+ (* x y) (* z (- 1.0 y)))
30.0ms	(* z (- 1.0 y))

series102.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(+ (* x y) (* z (- 1.0 y)))
56.0ms	(* z (- 1.0 y))

simplify1.4s

Counts

47 → 47

Iterations

Useful iterations: 2 (110.0ms)

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

prune99.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 29

Calls

2 calls:

20.0ms	(+ (* x y) (+ (* z 1.0) (* z (- y))))
8.0ms	(+ (* z 1.0) (* z (- y)))

series103.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (* x y) (+ (* z 1.0) (* z (- y))))
68.0ms	(+ (* z 1.0) (* z (- y)))

simplify2.5s

Counts

35 → 35

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	57	492
1	196	357
2	824	336
3	3664	332
done	5001	330

prune66.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* z (- 1.0 y)) (* z (- 1.0 y)))
0.2b	(* (* x y) (* x y))
3.0b	(- (* (* x y) (* x y)) (* (* z (- 1.0 y)) (* z (- 1.0 y))))
27.9b	(/ (- (* (* x y) (* x y)) (* (* z (- 1.0 y)) (* z (- 1.0 y)))) (- (* x y) (* z (- 1.0 y))))

rewrite298.0ms

Algorithm

rewrite-expression-head

Rules

82×	`pow1`
34×	`pow-prod-down`
30×	`add-exp-log` `add-cbrt-cube`
16×	`distribute-rgt-in` `distribute-lft-in` `prod-exp` `cbrt-unprod`
14×	`associate-*r/`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
9×	`sub-neg` `flip3--` `flip--`
8×	`pow-sqr` `pow-prod-up` `associate--r+`
6×	`add-log-exp`
5×	`difference-of-squares`
4×	`frac-times` `pow-plus` `associate-/l*`
3×	`associate-/r*`
2×	`pow2` `swap-sqr` `associate-r` `associate-l` `associate-l/` `associate-/r/` `-commutative` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 141

Calls

4 calls:

82.0ms	(* (* z (- 1.0 y)) (* z (- 1.0 y)))
41.0ms	(* (* x y) (* x y))
51.0ms	(- (* (* x y) (* x y)) (* (* z (- 1.0 y)) (* z (- 1.0 y))))
115.0ms	(/ (- (* (* x y) (* x y)) (* (* z (- 1.0 y)) (* z (- 1.0 y)))) (- (* x y) (* z (- 1.0 y))))

series399.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (* z (- 1.0 y)) (* z (- 1.0 y)))
59.0ms	(* (* x y) (* x y))
136.0ms	(- (* (* x y) (* x y)) (* (* z (- 1.0 y)) (* z (- 1.0 y))))
160.0ms	(/ (- (* (* x y) (* x y)) (* (* z (- 1.0 y)) (* z (- 1.0 y)))) (- (* x y) (* z (- 1.0 y))))

simplify1.5s

Counts

153 → 153

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	204	3360
1	589	2994
2	2379	2438
done	5000	2432

prune362.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

1.8b	(/ (- 1.0 y) (/ (- (/ (* x y) (* z (- 1.0 y))) 1) z))
3.2b	(/ (* z (- 1.0 y)) (* x y))
3.2b	(/ (* x y) (* z (- 1.0 y)))
3.4b	(/ y (/ (- 1 (/ (* z (- 1.0 y)) (* x y))) x))

rewrite240.0ms

Algorithm

rewrite-expression-head

Rules

391×	`times-frac`
319×	`add-sqr-sqrt`
301×	`*-un-lft-identity`
159×	`add-cube-cbrt`
86×	`difference-of-squares`
56×	`distribute-lft-out--`
49×	`associate-/r*`
38×	`add-exp-log` `add-cbrt-cube`
18×	`difference-of-sqr-1`
14×	`cbrt-undiv` `div-exp` `div-inv`
10×	`associate-/l*`
8×	`prod-exp` `cbrt-unprod`
4×	`pow1` `frac-2neg` `associate-*r/` `clear-num` `associate-/r/` `associate-/l/` `add-log-exp`
3×	`flip3--` `flip--`
1×	`div-sub`

Counts

4 → 325

Calls

4 calls:

83.0ms	(/ (- 1.0 y) (/ (- (/ (* x y) (* z (- 1.0 y))) 1) z))
33.0ms	(/ (* z (- 1.0 y)) (* x y))
42.0ms	(/ (* x y) (* z (- 1.0 y)))
61.0ms	(/ y (/ (- 1 (/ (* z (- 1.0 y)) (* x y))) x))

series465.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(/ (- 1.0 y) (/ (- (/ (* x y) (* z (- 1.0 y))) 1) z))
78.0ms	(/ (* z (- 1.0 y)) (* x y))
78.0ms	(/ (* x y) (* z (- 1.0 y)))
168.0ms	(/ y (/ (- 1 (/ (* z (- 1.0 y)) (* x y))) x))

simplify1.5s

Counts

337 → 337

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	552	9583
1	1493	9183
done	5000	8759

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	12
1	17	12
2	21	12
3	22	12
done	22	12

end0.0ms

sample1.0s

Algorithm

intervals

Results

489.0ms

10084×

body

valid