Details

sample32.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
4.0ms	256×	pre	80	true

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
3	1029
2	165
1	31
0	10

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.4b

localize23.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i 2.0))
15.7b	(/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

203×	`times-frac`
148×	`add-sqr-sqrt`
100×	`*-un-lft-identity` `add-cube-cbrt`
58×	`associate-l`
28×	`add-cbrt-cube` `add-exp-log`
27×	`difference-of-squares`
13×	`associate-r` `associate-/l*`
12×	`cbrt-undiv` `div-exp` `div-inv`
6×	`prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`pow1` `associate-/r*` `associate-/r/`
2×	`flip3--` `flip--` `add-log-exp`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `associate-/l/`

Counts

2 → 187

Calls

2 calls:

163.0ms	(* (/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i 2.0))
53.0ms	(/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series227.0ms

Counts

2 → 6

Calls

2 calls:

111.0ms	(* (/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i 2.0))
116.0ms	(/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify1.0s

Counts

193 → 193

Iterations

Iter	Nodes
done	5000
1	1110
0	331

prune875.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (/ (sqrt i) (+ (* i 2.0) (sqrt 1.0))) (/ (/ (sqrt i) 2.0) (- (* i 2.0) (sqrt 1.0)))) (/ i 2.0))
0.2b	(/ (sqrt i) (+ (* i 2.0) (sqrt 1.0)))
0.2b	(/ (/ (sqrt i) 2.0) (- (* i 2.0) (sqrt 1.0)))
0.5b	(* (/ (sqrt i) (+ (* i 2.0) (sqrt 1.0))) (/ (/ (sqrt i) 2.0) (- (* i 2.0) (sqrt 1.0))))

rewrite310.0ms

Algorithm

rewrite-expression-head

Rules

326×	`times-frac`
223×	`add-sqr-sqrt`
176×	`*-un-lft-identity` `add-cube-cbrt`
97×	`add-cbrt-cube` `add-exp-log`
91×	`sqrt-prod`
85×	`associate-r`
38×	`cbrt-undiv` `div-exp`
32×	`prod-exp` `cbrt-unprod`
28×	`associate-/l*`
25×	`associate-l`
12×	`div-inv` `unswap-sqr`
11×	`pow1`
8×	`associate-/r/`
6×	`frac-times` `associate-/r` `associate-l/`
4×	`pow-prod-down` `associate-*r/` `add-log-exp`
2×	`clear-num` `frac-2neg` `flip3-+` `flip3--` `*-commutative` `flip-+` `flip--`
1×	`associate-/l/`

Counts

4 → 340

Calls

4 calls:

128.0ms	(* (* (/ (sqrt i) (+ (* i 2.0) (sqrt 1.0))) (/ (/ (sqrt i) 2.0) (- (* i 2.0) (sqrt 1.0)))) (/ i 2.0))
21.0ms	(/ (sqrt i) (+ (* i 2.0) (sqrt 1.0)))
25.0ms	(/ (/ (sqrt i) 2.0) (- (* i 2.0) (sqrt 1.0)))
108.0ms	(* (/ (sqrt i) (+ (* i 2.0) (sqrt 1.0))) (/ (/ (sqrt i) 2.0) (- (* i 2.0) (sqrt 1.0))))

series1.0s

Counts

4 → 12

Calls

4 calls:

250.0ms	(* (* (/ (sqrt i) (+ (* i 2.0) (sqrt 1.0))) (/ (/ (sqrt i) 2.0) (- (* i 2.0) (sqrt 1.0)))) (/ i 2.0))
238.0ms	(/ (sqrt i) (+ (* i 2.0) (sqrt 1.0)))
295.0ms	(/ (/ (sqrt i) 2.0) (- (* i 2.0) (sqrt 1.0)))
238.0ms	(* (/ (sqrt i) (+ (* i 2.0) (sqrt 1.0))) (/ (/ (sqrt i) 2.0) (- (* i 2.0) (sqrt 1.0))))

simplify1.8s

Counts

352 → 352

Iterations

Iter	Nodes
done	5000
1	1844
0	555

prune2.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

16.3b

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

rewrite72.0ms

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×	`frac-times` `pow1` `clear-num` `frac-2neg` `flip3--` `associate-l/` `associate-r/` `div-inv` `flip--` `associate-/l*` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

69.0ms

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

series140.0ms

Counts

1 → 3

Calls

1 calls:

140.0ms

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

simplify1.6s

Counts

37 → 37

Iterations

Iter	Nodes
done	5000
2	2385
1	338
0	107

prune126.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite195.0ms

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×	`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 → 273

Calls

3 calls:

19.0ms	(/ (/ i 2.0) (+ (* 2.0 i) (sqrt 1.0)))
17.0ms	(/ (/ i 2.0) (- (* 2.0 i) (sqrt 1.0)))
133.0ms	(* (/ (/ i 2.0) (+ (* 2.0 i) (sqrt 1.0))) (/ (/ i 2.0) (- (* 2.0 i) (sqrt 1.0))))

series602.0ms

Counts

3 → 9

Calls

3 calls:

172.0ms	(/ (/ i 2.0) (+ (* 2.0 i) (sqrt 1.0)))
178.0ms	(/ (/ i 2.0) (- (* 2.0 i) (sqrt 1.0)))
252.0ms	(* (/ (/ i 2.0) (+ (* 2.0 i) (sqrt 1.0))) (/ (/ i 2.0) (- (* 2.0 i) (sqrt 1.0))))

simplify1.8s

Counts

282 → 282

Iterations

Iter	Nodes
done	5001
1	1470
0	430

prune1.7s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.0s	8000×	body	80	valid
115.0ms	8000×	pre	80	true