Details

sample36.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
7.0ms	256×	pre	80	true

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
3	711
2	147
1	32
0	10

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 4 i) (/ 1.0 i))
0.1b	(/ i (* 4 (- (* 4 i) (/ 1.0 i))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`pow1` `cbrt-undiv` `flip3--` `div-exp` `associate-*r/` `associate-/r/` `insert-posit16` `flip--`
1×	`clear-num` `associate-/r*` `sub-neg` `frac-2neg` `diff-log` `prod-exp` `cbrt-unprod` `div-inv`

Counts

2 → 37

Calls

2 calls:

17.0ms	(- (* 4 i) (/ 1.0 i))
17.0ms	(/ i (* 4 (- (* 4 i) (/ 1.0 i))))

series210.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(- (* 4 i) (/ 1.0 i))
127.0ms	(/ i (* 4 (- (* 4 i) (/ 1.0 i))))

simplify2.5s

Counts

43 → 43

Iterations

Iter	Nodes
done	5000
3	4627
2	824
1	244
0	100

prune161.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* i 4) (/ 1.0 i))
0.1b	(* i (/ 1/4 (- (* i 4) (/ 1.0 i))))
0.1b	(/ 1/4 (- (* i 4) (/ 1.0 i)))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
15×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `add-log-exp`
4×	`associate-/r/`
3×	`associate-/r` `flip3--` `associate-l` `insert-posit16` `flip--` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `associate-r/` `-commutative`

Counts

3 → 78

Calls

3 calls:

18.0ms	(- (* i 4) (/ 1.0 i))
72.0ms	(* i (/ 1/4 (- (* i 4) (/ 1.0 i))))
33.0ms	(/ 1/4 (- (* i 4) (/ 1.0 i)))

series307.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(- (* i 4) (/ 1.0 i))
114.0ms	(* i (/ 1/4 (- (* i 4) (/ 1.0 i))))
100.0ms	(/ 1/4 (- (* i 4) (/ 1.0 i)))

simplify2.1s

Counts

87 → 87

Iterations

Iter	Nodes
done	5004
3	4050
2	1184
1	393
0	153

prune346.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* i i) (* i i))
15.8b	(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1.0))
41.4b	(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))

rewrite285.0ms

Algorithm

rewrite-expression-head

Rules

302×	`add-cbrt-cube` `add-exp-log`
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×	`*-un-lft-identity` `add-cube-cbrt`
13×	`pow2`
7×	`div-inv`
6×	`associate-/l*` `difference-of-squares`
5×	`associate-/r*`
3×	`insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/r/`
1×	`flip3--` `swap-sqr` `associate-r` `associate-l` `*-commutative` `flip--` `unswap-sqr` `associate-/l/`

Counts

3 → 223

Calls

3 calls:

50.0ms	(* (* i i) (* i i))
144.0ms	(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1.0))
77.0ms	(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))

series220.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* (* i i) (* i i))
133.0ms	(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1.0))
37.0ms	(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))

simplify2.4s

Counts

232 → 232

Iterations

Iter	Nodes
done	5001
2	4789
1	825
0	280

prune315.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes56.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

826.0ms	8000×	body	80	valid
175.0ms	8000×	pre	80	true