Details

sample17.0ms

Algorithm

intervals

Results

6.0ms

307×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	10	7
done	10	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

3.0ms

(+ (* x y) (* z t))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(+ (* x y) (* z t))

simplify1.4s

Counts

14 → 14

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	31	160
1	104	155
2	326	141
3	908	141
4	2234	141
done	5001	141

prune31.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.3b	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
1.0b	(sqrt (+ (* x y) (* z t)))
1.0b	(sqrt (+ (* x y) (* z t)))

rewrite33.0ms

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×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

3.0ms	(+ (* x y) (* z t))
20.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
4.0ms	(sqrt (+ (* x y) (* z t)))
4.0ms	(sqrt (+ (* x y) (* z t)))

series206.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (* x y) (* z t))
32.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
70.0ms	(sqrt (+ (* x y) (* z t)))
71.0ms	(sqrt (+ (* x y) (* z t)))

simplify3.0s

Counts

110 → 110

Iterations

Useful iterations: 3 (506.0ms)

Iter	Nodes	Cost
0	106	2066
1	241	1477
2	871	1367
3	4257	1304
done	5000	1304

prune223.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(+ (* (* x y) (* x y)) (* (* z t) (- (* z t) (* x y))))
1.6b	(+ (pow (* x y) 3) (pow (* z t) 3))
2.1b	(* (* z t) (- (* z t) (* x y)))
38.1b	(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* x y) (* x y)) (* (* z t) (- (* z t) (* x y)))))

rewrite76.0ms

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-+r+` `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:

11.0ms	(+ (* (* x y) (* x y)) (* (* z t) (- (* z t) (* x y))))
8.0ms	(+ (pow (* x y) 3) (pow (* z t) 3))
12.0ms	(* (* z t) (- (* z t) (* x y)))
43.0ms	(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* x y) (* x y)) (* (* z t) (- (* z t) (* x y)))))

series475.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(+ (* (* x y) (* x y)) (* (* z t) (- (* z t) (* x y))))
197.0ms	(+ (pow (* x y) 3) (pow (* z t) 3))
54.0ms	(* (* z t) (- (* z t) (* x y)))
135.0ms	(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* x y) (* x y)) (* (* z t) (- (* z t) (* x y)))))

simplify1.1s

Counts

103 → 103

Iterations

Useful iterations: 2 (163.0ms)

Iter	Nodes	Cost
0	165	3118
1	445	2966
2	2398	2721
done	5001	2721

prune273.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes129.0ms

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	7	7
1	10	7
done	10	7

end0.0ms

sample475.0ms

Algorithm

intervals

Results

226.0ms

10410×

body

valid