Details

sample37.0ms

Algorithm

intervals

Results

13.0ms

332×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	11	7
2	18	7
done	18	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x y) (* z t))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

8.0ms

(- (* x y) (* z t))

series55.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(- (* x y) (* z t))

simplify2.3s

Counts

15 → 15

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	32	168
1	92	163
2	273	149
3	789	149
4	1794	149
done	5000	149

prune43.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x y) (* z t))
0.2b	(* (sqrt (- (* x y) (* z t))) (sqrt (- (* x y) (* z t))))
1.3b	(sqrt (- (* x y) (* z t)))
1.3b	(sqrt (- (* x y) (* z t)))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

8.0ms	(- (* x y) (* z t))
104.0ms	(* (sqrt (- (* x y) (* z t))) (sqrt (- (* x y) (* z t))))
14.0ms	(sqrt (- (* x y) (* z t)))
9.0ms	(sqrt (- (* x y) (* z t)))

series414.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (* x y) (* z t))
65.0ms	(* (sqrt (- (* x y) (* z t))) (sqrt (- (* x y) (* z t))))
141.0ms	(sqrt (- (* x y) (* z t)))
158.0ms	(sqrt (- (* x y) (* z t)))

simplify2.1s

Counts

111 → 111

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	112	2098
1	241	1505
2	707	1393
3	2210	1328
done	5000	1298

prune405.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.4b	(+ (* (* z t) (+ (* x y) (* z t))) (* (* x y) (* x y)))
1.4b	(- (pow (* x y) 3) (pow (* z t) 3))
2.5b	(* (* z t) (+ (* x y) (* z t)))
37.1b	(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (+ (* x y) (* z t))) (* (* x y) (* x y))))

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
27×	`times-frac`
20×	`difference-of-squares` `sqr-pow`
19×	`add-cube-cbrt`
11×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `associate-/l*`
8×	`add-log-exp`
5×	`difference-cubes` `distribute-lft-out--`
3×	`flip3-+` `associate-r` `pow-prod-down` `prod-exp` `associate-/r*` `cbrt-unprod` `flip-+`
2×	`distribute-rgt-in` `associate-+l+` `flip3--` `distribute-lft-in` `associate-*r/` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `associate-l` `clear-num` `sum-log` `*-commutative` `div-inv`

Counts

4 → 109

Calls

4 calls:

56.0ms	(+ (* (* z t) (+ (* x y) (* z t))) (* (* x y) (* x y)))
27.0ms	(- (pow (* x y) 3) (pow (* z t) 3))
54.0ms	(* (* z t) (+ (* x y) (* z t)))
109.0ms	(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (+ (* x y) (* z t))) (* (* x y) (* x y))))

series712.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(+ (* (* z t) (+ (* x y) (* z t))) (* (* x y) (* x y)))
293.0ms	(- (pow (* x y) 3) (pow (* z t) 3))
75.0ms	(* (* z t) (+ (* x y) (* z t)))
209.0ms	(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (+ (* x y) (* z t))) (* (* x y) (* x y))))

simplify2.3s

Counts

121 → 121

Iterations

Useful iterations: 2 (667.0ms)

Iter	Nodes	Cost
0	206	4210
1	545	3988
2	2713	3745
done	5000	3745

prune581.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes188.0ms

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	7	7
1	9	7
done	9	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

457.0ms

10465×

body

valid