Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

279×

body

valid

simplify159.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	10	11
1	20	9
2	46	9
3	87	9
4	131	9
5	176	9
6	214	9
7	232	9
8	235	9
done	235	9

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* z (- y t))
7.3b	(/ (* x 2.0) (* z (- y t)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `prod-diff`
16×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r` `prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `associate-*r/` `div-exp`
3×	`associate-l`
2×	`expm1-log1p-u` `sub-neg` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`frac-2neg` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 71

Calls

2 calls:

12.0ms	(* z (- y t))
7.0ms	(/ (* x 2.0) (* z (- y t)))

series81.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* z (- y t))
47.0ms	(/ (* x 2.0) (* z (- y t)))

simplify555.0ms

Counts

77 → 77

Iterations

Useful iterations: 2 (156.0ms)

Iter	Nodes	Cost
0	145	1080
1	327	905
2	1444	681
done	5001	681

prune124.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

4.2b	(/ (/ (* x 2.0) z) (- y t))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

53×	`times-frac`
37×	`add-sqr-sqrt` `*-un-lft-identity`
21×	`add-cube-cbrt`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`div-inv` `associate-/l*`
5×	`cbrt-undiv` `div-exp` `associate-/r*`
2×	`associate-/r/`
1×	`pow1` `expm1-log1p-u` `flip3--` `frac-2neg` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`

Counts

1 → 68

Calls

1 calls:

9.0ms

(/ (/ (* x 2.0) z) (- y t))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(/ (/ (* x 2.0) z) (- y t))

simplify541.0ms

Counts

71 → 71

Iterations

Useful iterations: 2 (152.0ms)

Iter	Nodes	Cost
0	147	1093
1	375	1045
2	1352	971
done	5000	971

prune164.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (- y t))
4.3b	(* (/ (* x 2.0) z) (/ 1 (- y t)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-exp-log`
44×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
35×	`times-frac`
25×	`add-cbrt-cube`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`div-exp` `prod-exp`
8×	`cbrt-undiv` `cbrt-unprod`
7×	`associate-l` `distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/r*`
4×	`rec-exp` `1-exp` `associate-/r/`
3×	`div-inv` `associate-/l*` `unswap-sqr`
2×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`frac-times` `pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `un-div-inv` `*-commutative` `inv-pow`

Counts

2 → 107

Calls

2 calls:

6.0ms	(/ 1 (- y t))
28.0ms	(* (/ (* x 2.0) z) (/ 1 (- y t)))

series81.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ 1 (- y t))
43.0ms	(* (/ (* x 2.0) z) (/ 1 (- y t)))

simplify658.0ms

Counts

113 → 113

Iterations

Useful iterations: 2 (181.0ms)

Iter	Nodes	Cost
0	161	1400
1	455	1158
2	1459	972
done	5000	972

prune180.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y t))
0.6b	(* (cbrt (- y t)) (cbrt (- y t)))
0.6b	(* (/ (/ (* x 2.0) z) (* (cbrt (- y t)) (cbrt (- y t)))) (/ (sqrt 1) (cbrt (- y t))))
3.9b	(/ (/ (* x 2.0) z) (* (cbrt (- y t)) (cbrt (- y t))))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

115×	`add-sqr-sqrt`
92×	`add-exp-log`
90×	`times-frac`
81×	`*-un-lft-identity`
69×	`cbrt-prod`
65×	`add-cbrt-cube`
62×	`associate-r`
49×	`add-cube-cbrt`
40×	`cbrt-div`
37×	`cbrt-undiv` `div-exp`
32×	`sqrt-prod`
30×	`prod-exp` `cbrt-unprod`
27×	`associate-l`
20×	`flip3--` `flip--`
18×	`associate-/r/` `unswap-sqr`
13×	`pow1` `frac-times` `distribute-lft-out--`
11×	`difference-of-squares`
10×	`swap-sqr`
7×	`pow1/3` `associate-r/` `associate-l/` `associate-/l*`
6×	`div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `frac-2neg` `pow-plus` `clear-num` `associate-/r*` `associate-/l/`

Counts

4 → 252

Calls

4 calls:

2.0ms	(cbrt (- y t))
23.0ms	(* (cbrt (- y t)) (cbrt (- y t)))
84.0ms	(* (/ (/ (* x 2.0) z) (* (cbrt (- y t)) (cbrt (- y t)))) (/ (sqrt 1) (cbrt (- y t))))
13.0ms	(/ (/ (* x 2.0) z) (* (cbrt (- y t)) (cbrt (- y t))))

series446.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt (- y t))
125.0ms	(* (cbrt (- y t)) (cbrt (- y t)))
51.0ms	(* (/ (/ (* x 2.0) z) (* (cbrt (- y t)) (cbrt (- y t)))) (/ (sqrt 1) (cbrt (- y t))))
121.0ms	(/ (/ (* x 2.0) z) (* (cbrt (- y t)) (cbrt (- y t))))

simplify1.5s

Counts

264 → 264

Iterations

Useful iterations: 2 (630.0ms)

Iter	Nodes	Cost
0	419	6055
1	1197	5339
2	4321	4383
done	5000	4383

prune657.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes159.0ms

Accuracy

48.1% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 5.3b

bsearch64.0ms

Steps

Iters	Range		Point
9	7.057717429749845e-42	3.5276053561013562e-34	4.536023366252226e-37
6	-7.081229578003571e-128	-4.508223937620286e-129	-6.93799498024277e-128

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	35
1	21	35
done	21	35

end0.0ms

sample468.0ms

Algorithm

intervals

Results

259.0ms

8761×

body

valid