Details

sample17.0ms

Algorithm

intervals

Results

6.0ms	253×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	8	5
2	9	5
done	9	5

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 116.0) 16.0)

rewrite13.0ms

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:

13.0ms

(- (* x 116.0) 16.0)

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

(- (* x 116.0) 16.0)

simplify2.6s

Counts

15 → 15

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	29	128
1	69	125
2	171	115
3	395	113
4	874	113
5	2771	113
done	5001	113

prune49.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (- (* x 116.0) 16.0)) (cbrt (- (* x 116.0) 16.0)))
0.8b	(cbrt (- (* x 116.0) 16.0))
0.8b	(cbrt (- (* x 116.0) 16.0))
0.8b	(cbrt (- (* x 116.0) 16.0))

rewrite139.0ms

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:

95.0ms	(* (cbrt (- (* x 116.0) 16.0)) (cbrt (- (* x 116.0) 16.0)))
14.0ms	(cbrt (- (* x 116.0) 16.0))
14.0ms	(cbrt (- (* x 116.0) 16.0))
14.0ms	(cbrt (- (* x 116.0) 16.0))

series835.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(* (cbrt (- (* x 116.0) 16.0)) (cbrt (- (* x 116.0) 16.0)))
235.0ms	(cbrt (- (* x 116.0) 16.0))
192.0ms	(cbrt (- (* x 116.0) 16.0))
166.0ms	(cbrt (- (* x 116.0) 16.0))

simplify3.6s

Counts

99 → 99

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	184	2139
1	439	2008
2	1317	1905
3	4777	1632
done	5001	1554

prune293.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 116.0) 16.0)
0.3b	(* (* x 116.0) (* x 116.0))
13.0b	(/ (- (* (* x 116.0) (* x 116.0)) (* 16.0 16.0)) (+ (* x 116.0) 16.0))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

42×	`pow1`
17×	`add-exp-log` `pow-prod-down` `add-cbrt-cube`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
8×	`prod-exp` `cbrt-unprod`
5×	`add-log-exp`
4×	`pow-sqr` `pow-prod-up` `associate-/l*` `difference-of-squares`
3×	`associate-/r*`
2×	`flip3-+` `pow-plus` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `pow2` `flip3--` `frac-2neg` `div-sub` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `sum-log` `*-commutative` `flip--` `div-inv`

Counts

3 → 81

Calls

3 calls:

16.0ms	(+ (* x 116.0) 16.0)
59.0ms	(* (* x 116.0) (* x 116.0))
108.0ms	(/ (- (* (* x 116.0) (* x 116.0)) (* 16.0 16.0)) (+ (* x 116.0) 16.0))

series284.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(+ (* x 116.0) 16.0)
32.0ms	(* (* x 116.0) (* x 116.0))
202.0ms	(/ (- (* (* x 116.0) (* x 116.0)) (* 16.0 16.0)) (+ (* x 116.0) 16.0))

simplify1.5s

Counts

90 → 90

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	121	1399
1	313	1271
2	1177	1135
done	5001	1003

prune184.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 116.0 x) 16.0)
0.1b	(/ 1 (- (* 116.0 x) 16.0))
0.1b	(/ 1 (/ 1 (- (* 116.0 x) 16.0)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
55×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
26×	`add-exp-log`
18×	`associate-/r*`
16×	`div-exp`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`rec-exp` `1-exp`
6×	`pow1` `flip3--` `flip--` `div-inv` `associate-/l*`
5×	`pow-flip` `add-log-exp`
4×	`cbrt-undiv`
3×	`inv-pow`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `diff-log` `remove-double-div`

Counts

3 → 138

Calls

3 calls:

14.0ms	(- (* 116.0 x) 16.0)
23.0ms	(/ 1 (- (* 116.0 x) 16.0))
25.0ms	(/ 1 (/ 1 (- (* 116.0 x) 16.0)))

series161.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(- (* 116.0 x) 16.0)
56.0ms	(/ 1 (- (* 116.0 x) 16.0))
58.0ms	(/ 1 (/ 1 (- (* 116.0 x) 16.0)))

simplify3.6s

Counts

147 → 147

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	191	2206
1	407	1515
2	703	1431
3	1397	1421
4	3091	1420
done	5000	1416

prune231.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes71.0ms

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	5	5
1	6	5
done	6	5

end0.0ms

sample440.0ms

Algorithm

intervals

Results

247.0ms	7954×	body	80	valid
3.0ms	26×	body	1280	valid
2.0ms	29×	body	640	valid
0.0ms	10×	body	160	valid
0.0ms	6×	body	320	valid