Details

sample31.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
4.0ms	256×	pre	80	true

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 4 (1.6s)

Iter	Nodes	Cost
0	10	25
1	32	25
2	167	23
3	864	19
4	4760	15
done	5000	15

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 2.0 (* i 2.0)) (/ 1.0 i))
0.1b	(/ i (* (- (* 2.0 (* i 2.0)) (/ 1.0 i)) (* 2.0 2.0)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

13×	`prod-diff`
12×	`times-frac`
11×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-*l/` `associate-/r/` `flip--` `log1p-expm1-u` `div-inv`
1×	`sub-neg` `frac-2neg` `fma-neg` `diff-log` `clear-num` `associate-/r*`

Counts

2 → 55

Calls

2 calls:

9.0ms	(- (* 2.0 (* i 2.0)) (/ 1.0 i))
16.0ms	(/ i (* (- (* 2.0 (* i 2.0)) (/ 1.0 i)) (* 2.0 2.0)))

series161.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(- (* 2.0 (* i 2.0)) (/ 1.0 i))
97.0ms	(/ i (* (- (* 2.0 (* i 2.0)) (/ 1.0 i)) (* 2.0 2.0)))

simplify588.0ms

Counts

61 → 61

Iterations

Useful iterations: done (586.0ms)

Iter	Nodes	Cost
0	199	1387
1	512	1286
2	1839	1010
done	5000	1008

prune119.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 4.0 i) (/ 1.0 i))
0.1b	(/ i (* (- (* 4.0 i) (/ 1.0 i)) (* 2.0 2.0)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

13×	`prod-diff`
12×	`times-frac`
11×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-*l/` `associate-/r/` `flip--` `log1p-expm1-u` `div-inv`
1×	`sub-neg` `frac-2neg` `fma-neg` `diff-log` `clear-num` `associate-/r*`

Counts

2 → 55

Calls

2 calls:

6.0ms	(- (* 4.0 i) (/ 1.0 i))
12.0ms	(/ i (* (- (* 4.0 i) (/ 1.0 i)) (* 2.0 2.0)))

series156.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(- (* 4.0 i) (/ 1.0 i))
92.0ms	(/ i (* (- (* 4.0 i) (/ 1.0 i)) (* 2.0 2.0)))

simplify589.0ms

Counts

61 → 61

Iterations

Useful iterations: done (587.0ms)

Iter	Nodes	Cost
0	197	1247
1	506	1146
2	1813	890
done	5000	888

prune105.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 1.0 (pow i 4) (* 4.0 (pow i 6)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma 1.0 (pow i 4) (* 4.0 (pow i 6)))

series117.0ms

Counts

1 → 3

Calls

1 calls:

117.0ms

(fma 1.0 (pow i 4) (* 4.0 (pow i 6)))

simplify1.1s

Counts

13 → 13

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	20	170
1	32	167
2	83	147
3	329	147
4	1755	147
done	5000	147

prune38.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* i i) (* i i))
13.1b	(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
45.2b	(/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

302×	`add-exp-log` `add-cbrt-cube`
168×	`prod-exp` `cbrt-unprod`
114×	`pow1`
76×	`cbrt-undiv` `div-exp`
36×	`pow-prod-up`
26×	`times-frac`
23×	`pow-prod-down`
22×	`pow-sqr`
20×	`add-sqr-sqrt`
18×	`pow-plus`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`pow2`
7×	`div-inv`
6×	`associate-/l*` `difference-of-squares`
5×	`associate-/r*`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`flip3--` `swap-sqr` `associate-r` `associate-l` `*-commutative` `flip--` `associate-/l/` `unswap-sqr`

Counts

3 → 226

Calls

3 calls:

12.0ms	(* (* i i) (* i i))
53.0ms	(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
32.0ms	(/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i)))

series137.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(* (* i i) (* i i))
79.0ms	(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
25.0ms	(/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i)))

simplify1.3s

Counts

235 → 235

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	283	6866
1	827	4618
2	3825	3064
done	5001	3062

prune187.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	12	13
done	12	13

end0.0ms

sample396.0ms

Algorithm

intervals

Results

224.0ms	8000×	body	80	valid
74.0ms	8000×	pre	80	true