Details

sample41.0ms

Algorithm

intervals

Results

14.0ms

416×

body

valid

simplify56.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	15
1	26	15
2	48	15
3	79	15
4	89	15
done	89	15

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
0.0b	(+ (+ (* x y) (* z t)) (* a b))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

8.0ms	(+ (* x y) (* z t))
110.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
29.0ms	(+ (+ (* x y) (* z t)) (* a b))

series333.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (* x y) (* z t))
234.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
62.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify2.2s

Counts

47 → 47

Iterations

Useful iterations: 3 (812.0ms)

Iter	Nodes	Cost
0	85	777
1	273	719
2	1075	689
3	4799	677
done	5001	677

prune142.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.1b	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.1b	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.2b	(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

rewrite754.0ms

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-+` `add-log-exp`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `sum-log` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `associate-+l+` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

28.0ms	(+ (+ (* x y) (* z t)) (* a b))
108.0ms	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
129.0ms	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
486.0ms	(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

series8.3s

Counts

4 → 12

Calls

4 calls:

65.0ms	(+ (+ (* x y) (* z t)) (* a b))
4.0s	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
4.0s	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
221.0ms	(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

simplify705.0ms

Counts

112 → 112

Iterations

Useful iterations: done (701.0ms)

Iter	Nodes	Cost
0	154	3831
1	378	2816
2	1467	2626
done	5001	2499

prune326.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fabs (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (sqrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
0.2b	(* (* (fabs (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (sqrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.5b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

rewrite813.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`associate-r`
14×	`sqrt-div`
12×	`add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
11×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
10×	`cbrt-prod` `associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `associate-l/` `-commutative`

Counts

4 → 83

Calls

4 calls:

245.0ms	(* (fabs (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (sqrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
446.0ms	(* (* (fabs (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (sqrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
58.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
60.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series765.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(* (fabs (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (sqrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
287.0ms	(* (* (fabs (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (sqrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
128.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
127.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify808.0ms

Counts

95 → 95

Iterations

Useful iterations: done (804.0ms)

Iter	Nodes	Cost
0	187	4535
1	465	4287
2	1435	3908
done	5000	3782

prune471.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

1.1b	(+ (pow (* x y) 3) (pow (* z t) 3))
1.2b	(+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))
4.6b	(* (* z t) (- (* z t) (* x y)))
38.8b	(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

14.0ms	(+ (pow (* x y) 3) (pow (* z t) 3))
34.0ms	(+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))
34.0ms	(* (* z t) (- (* z t) (* x y)))
85.0ms	(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))

series538.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(+ (pow (* x y) 3) (pow (* z t) 3))
103.0ms	(+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))
63.0ms	(* (* z t) (- (* z t) (* x y)))
157.0ms	(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))

simplify1.5s

Counts

103 → 103

Iterations

Useful iterations: 2 (315.0ms)

Iter	Nodes	Cost
0	166	3122
1	427	2980
2	2117	2733
done	5002	2733

prune410.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes601.0ms

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	15	15
1	22	15
done	22	15

end0.0ms

sample1.3s

Algorithm

intervals

Results

498.0ms

13634×

body

valid