Details

sample30.0ms

Algorithm

intervals

Results

11.0ms

315×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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:

12.0ms

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

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

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

simplify2.8s

Counts

14 → 14

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	31	160
1	101	155
2	349	141
3	1088	141
4	3495	141
done	5000	141

prune43.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
1.5b	(cbrt (+ (* x y) (* z t)))
1.5b	(cbrt (+ (* x y) (* z t)))
1.5b	(cbrt (+ (* x y) (* z t)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

62.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
7.0ms	(cbrt (+ (* x y) (* z t)))
7.0ms	(cbrt (+ (* x y) (* z t)))
13.0ms	(cbrt (+ (* x y) (* z t)))

series654.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
168.0ms	(cbrt (+ (* x y) (* z t)))
148.0ms	(cbrt (+ (* x y) (* z t)))
157.0ms	(cbrt (+ (* x y) (* z t)))

simplify947.0ms

Counts

99 → 99

Iterations

Useful iterations: done (944.0ms)

Iter	Nodes	Cost
0	127	2030
1	335	1881
2	1143	1751
done	5000	1634

prune366.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

1.5b	(cbrt (+ (* x y) (* z t)))
1.5b	(cbrt (- (* x y) (* z t)))
1.6b	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
25.8b	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3--` `pow1/3` `flip--`
2×	`difference-of-squares`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 53

Calls

4 calls:

5.0ms	(cbrt (+ (* x y) (* z t)))
8.0ms	(cbrt (- (* x y) (* z t)))
42.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
45.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

series601.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt (+ (* x y) (* z t)))
155.0ms	(cbrt (- (* x y) (* z t)))
146.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
163.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

simplify918.0ms

Counts

65 → 65

Iterations

Useful iterations: done (915.0ms)

Iter	Nodes	Cost
0	148	1320
1	373	1242
2	1524	1093
done	5001	1076

prune294.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

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

rewrite103.0ms

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:

13.0ms	(+ (* x y) (* z t))
68.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
8.0ms	(sqrt (+ (* x y) (* z t)))
8.0ms	(sqrt (+ (* x y) (* z t)))

series313.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ (* x y) (* z t))
58.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
96.0ms	(sqrt (+ (* x y) (* z t)))
108.0ms	(sqrt (+ (* x y) (* z t)))

simplify760.0ms

Counts

110 → 110

Iterations

Useful iterations: done (757.0ms)

Iter	Nodes	Cost
0	106	2066
1	265	1485
2	1135	1367
done	5000	1332

prune300.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes175.0ms

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

sample1.1s

Algorithm

intervals

Results

423.0ms

10402×

body

valid