Details

sample29.0ms

Algorithm

intervals

Results

12.0ms

309×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	164
1	13	164
2	20	164
3	34	164
4	53	164
5	68	164
6	79	164
7	100	164
8	140	164
9	381	164
10	1750	164
done	5001	164

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

14.0ms	(+ (* (- 1.0 x) y) (* x z))
19.0ms	(* (- 1.0 x) y)

series91.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ (* (- 1.0 x) y) (* x z))
44.0ms	(* (- 1.0 x) y)

simplify903.0ms

Counts

39 → 39

Iterations

Useful iterations: 2 (130.0ms)

Iter	Nodes	Cost
0	71	7897
1	190	7034
2	767	6834
done	5000	6834

prune156.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (* y (- (* 1.0 (* 1.0 1.0)) (* x (* x x)))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* x z))
0.1b	(* x (* x x))
3.6b	(* y (- (* 1.0 (* 1.0 1.0)) (* x (* x x))))
10.4b	(/ (* y (- (* 1.0 (* 1.0 1.0)) (* x (* x x)))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite337.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
16×	`add-cbrt-cube` `add-exp-log`
12×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l` `add-log-exp`
5×	`associate-r` `prod-exp` `pow-prod-up` `cbrt-unprod`
4×	`pow-prod-down` `associate-*r/`
3×	`associate-/r*` `times-frac` `cube-unmult`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `flip3-+` `flip3--` `div-exp` `associate-/r/` `*-commutative` `flip-+` `flip--` `unswap-sqr` `associate-/l/`
1×	`pow2` `difference-cubes` `+-commutative` `clear-num` `sum-log` `frac-2neg` `pow-plus` `pow-sqr` `div-inv` `associate-/l*`

Counts

4 → 85

Calls

4 calls:

138.0ms	(+ (/ (* y (- (* 1.0 (* 1.0 1.0)) (* x (* x x)))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* x z))
27.0ms	(* x (* x x))
104.0ms	(* y (- (* 1.0 (* 1.0 1.0)) (* x (* x x))))
66.0ms	(/ (* y (- (* 1.0 (* 1.0 1.0)) (* x (* x x)))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series607.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(+ (/ (* y (- (* 1.0 (* 1.0 1.0)) (* x (* x x)))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* x z))
56.0ms	(* x (* x x))
112.0ms	(* y (- (* 1.0 (* 1.0 1.0)) (* x (* x x))))
226.0ms	(/ (* y (- (* 1.0 (* 1.0 1.0)) (* x (* x x)))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify2.3s

Counts

97 → 97

Iterations

Useful iterations: 2 (693.0ms)

Iter	Nodes	Cost
0	160	32661
1	496	29838
2	2615	28961
done	5002	28961

prune440.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (- 1.0 x) y) (* (- 1.0 x) y))
0.3b	(* (* x z) (* x z))
2.8b	(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z)))
26.0b	(/ (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))) (- (* (- 1.0 x) y) (* x z)))

rewrite362.0ms

Algorithm

rewrite-expression-head

Rules

82×	`pow1`
34×	`pow-prod-down`
30×	`add-cbrt-cube` `add-exp-log`
16×	`prod-exp` `cbrt-unprod`
14×	`associate-*l/`
13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
9×	`flip3--` `flip--`
8×	`pow-sqr` `pow-prod-up`
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-r/` `associate-/r/` `-commutative` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

4 → 125

Calls

4 calls:

58.0ms	(* (* (- 1.0 x) y) (* (- 1.0 x) y))
22.0ms	(* (* x z) (* x z))
68.0ms	(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z)))
207.0ms	(/ (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))) (- (* (- 1.0 x) y) (* x z)))

series456.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* (- 1.0 x) y) (* (- 1.0 x) y))
36.0ms	(* (* x z) (* x z))
153.0ms	(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z)))
221.0ms	(/ (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))) (- (* (- 1.0 x) y) (* x z)))

simplify2.1s

Counts

137 → 137

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	187	43452
1	568	34475
2	3371	31395
done	5000	31235

prune495.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (- 1.0 x) y) (* (- 1.0 x) y))
0.3b	(* (* x z) (* x z))
11.5b	(/ (* (* x z) (* x z)) (- (* (- 1.0 x) y) (* x z)))
20.2b	(/ (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (- (* (- 1.0 x) y) (* x z)))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

82×	`pow1`
64×	`add-cbrt-cube` `add-exp-log`
34×	`pow-prod-down`
32×	`prod-exp` `cbrt-unprod`
28×	`associate-*l/`
14×	`flip3--` `flip--`
10×	`cbrt-undiv` `div-exp`
8×	`add-sqr-sqrt` `frac-times` `*-un-lft-identity` `pow-sqr` `pow-prod-up` `add-cube-cbrt` `associate-/l/`
6×	`associate-/r*` `times-frac`
4×	`pow-plus` `associate-*r/` `associate-/r/` `add-log-exp`
2×	`pow2` `clear-num` `frac-2neg` `swap-sqr` `associate-r` `associate-l` `-commutative` `div-inv` `associate-/l`

Counts

4 → 142

Calls

4 calls:

50.0ms	(* (* (- 1.0 x) y) (* (- 1.0 x) y))
22.0ms	(* (* x z) (* x z))
40.0ms	(/ (* (* x z) (* x z)) (- (* (- 1.0 x) y) (* x z)))
71.0ms	(/ (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (- (* (- 1.0 x) y) (* x z)))

series373.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* (- 1.0 x) y) (* (- 1.0 x) y))
48.0ms	(* (* x z) (* x z))
119.0ms	(/ (* (* x z) (* x z)) (- (* (- 1.0 x) y) (* x z)))
156.0ms	(/ (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (- (* (- 1.0 x) y) (* x z)))

simplify991.0ms

Counts

154 → 154

Iterations

Useful iterations: done (973.0ms)

Iter	Nodes	Cost
0	184	43160
1	690	34615
done	5001	31735

prune514.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes211.0ms

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	164
1	11	164
done	11	164

end0.0ms

sample1.1s

Algorithm

intervals

Results

718.0ms

10127×

body

valid