Details

sample22.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
3	1029
2	169
1	32
0	10

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize23.0ms

Local error

Found 1 expressions with local error:

13.1b

(/ (* (/ i 2.0) (/ i 2.0)) (- (* (* i 2.0) (* i 2.0)) 1.0))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-cbrt-cube` `add-exp-log`
9×	`cbrt-undiv` `div-exp`
5×	`add-sqr-sqrt`
4×	`associate-/r*` `times-frac` `prod-exp` `cbrt-unprod`
3×	`*-un-lft-identity` `add-cube-cbrt` `associate-/l/`
2×	`associate-/r/` `difference-of-squares`
1×	`expm1-log1p-u` `frac-times` `pow1` `clear-num` `frac-2neg` `flip3--` `associate-l/` `associate-r/` `log1p-expm1-u` `div-inv` `flip--` `associate-/l*` `add-log-exp`

Counts

1 → 36

Calls

1 calls:

75.0ms

(/ (* (/ i 2.0) (/ i 2.0)) (- (* (* i 2.0) (* i 2.0)) 1.0))

series131.0ms

Counts

1 → 3

Calls

1 calls:

131.0ms

(/ (* (/ i 2.0) (/ i 2.0)) (- (* (* i 2.0) (* i 2.0)) 1.0))

simplify1.7s

Counts

39 → 39

Iterations

Iter	Nodes
done	5001
2	2404
1	342
0	109

prune173.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (/ i 2.0) (- (* i 2.0) (sqrt 1.0)))
0.0b	(/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))
0.0b	(* (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0))) (/ (/ i 2.0) (- (* i 2.0) (sqrt 1.0))))

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

300×	`times-frac`
193×	`add-sqr-sqrt`
157×	`*-un-lft-identity` `add-cube-cbrt`
49×	`add-cbrt-cube` `add-exp-log`
45×	`associate-r` `associate-l`
26×	`associate-/l*`
24×	`cbrt-undiv` `div-exp`
18×	`div-inv`
9×	`prod-exp` `cbrt-unprod` `unswap-sqr`
8×	`associate-/r/`
6×	`associate-/r*`
5×	`pow1`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `flip3-+` `flip3--` `flip-+` `flip--` `associate-/l/`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

3 → 279

Calls

3 calls:

26.0ms	(/ (/ i 2.0) (- (* i 2.0) (sqrt 1.0)))
18.0ms	(/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))
168.0ms	(* (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0))) (/ (/ i 2.0) (- (* i 2.0) (sqrt 1.0))))

series548.0ms

Counts

3 → 9

Calls

3 calls:

129.0ms	(/ (/ i 2.0) (- (* i 2.0) (sqrt 1.0)))
119.0ms	(/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))
300.0ms	(* (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0))) (/ (/ i 2.0) (- (* i 2.0) (sqrt 1.0))))

simplify1.4s

Counts

288 → 288

Iterations

Iter	Nodes
done	5000
1	1473
0	436

prune1.7s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- (* i 2.0) (sqrt 1.0)))
0.0b	(/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))
0.0b	(* (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0))) (* (/ i 2.0) (/ 1 (- (* i 2.0) (sqrt 1.0)))))
0.1b	(* (/ i 2.0) (/ 1 (- (* i 2.0) (sqrt 1.0))))

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

175×	`times-frac`
158×	`add-exp-log`
120×	`add-sqr-sqrt`
105×	`*-un-lft-identity`
103×	`add-cube-cbrt`
92×	`add-cbrt-cube`
64×	`div-exp`
59×	`prod-exp`
58×	`associate-l`
35×	`cbrt-undiv`
31×	`cbrt-unprod`
16×	`associate-r` `associate-/l*`
12×	`pow1` `div-inv`
9×	`rec-exp` `1-exp`
8×	`associate-/r/`
7×	`frac-times` `associate-*r/`
6×	`associate-/r*` `unswap-sqr`
4×	`expm1-log1p-u` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`un-div-inv`
2×	`clear-num` `frac-2neg` `flip3-+` `flip3--` `*-commutative` `flip-+` `flip--`
1×	`pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 279

Calls

4 calls:

29.0ms	(/ 1 (- (* i 2.0) (sqrt 1.0)))
34.0ms	(/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))
134.0ms	(* (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0))) (* (/ i 2.0) (/ 1 (- (* i 2.0) (sqrt 1.0)))))
56.0ms	(* (/ i 2.0) (/ 1 (- (* i 2.0) (sqrt 1.0))))

series653.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(/ 1 (- (* i 2.0) (sqrt 1.0)))
164.0ms	(/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))
252.0ms	(* (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0))) (* (/ i 2.0) (/ 1 (- (* i 2.0) (sqrt 1.0)))))
161.0ms	(* (/ i 2.0) (/ 1 (- (* i 2.0) (sqrt 1.0))))

simplify1.3s

Counts

291 → 291

Iterations

Iter	Nodes
done	5000
1	1458
0	438

prune1.7s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample809.0ms

Algorithm

intervals

Results

536.0ms	8000×	body	80	valid
132.0ms	8000×	pre	80	true