Details

sample45.0ms

Algorithm

intervals

Results

22.0ms

282×

body

valid

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
26	4979
25	4743
24	4499
23	4256
22	4020
21	3777
20	3537
19	3301
18	3057
17	2823
16	2584
15	2324
14	1950
13	1556
12	1129
11	699
10	486
9	335
8	250
7	206
6	169
5	128
4	87
3	50
2	31
1	18
0	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
12.1b	(/ (* y (- z t)) (- z a))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`add-cbrt-cube` `add-exp-log`
6×	`add-cube-cbrt`
5×	`associate-/r` `times-frac` `associate-r*`
4×	`pow1` `associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `add-log-exp` `associate-/l/`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 55

Calls

2 calls:

27.0ms	(* y (- z t))
43.0ms	(/ (* y (- z t)) (- z a))

series169.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* y (- z t))
107.0ms	(/ (* y (- z t)) (- z a))

simplify2.3s

Counts

61 → 61

Iterations

Iter	Nodes
done	5004
3	3465
2	816
1	276
0	105

prune445.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z a) (- z t))
2.3b	(/ y (/ (- z a) (- z t)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
6×	`flip3--` `div-inv` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `clear-num` `frac-2neg` `add-log-exp` `associate-/l/`
1×	`div-sub`

Counts

2 → 194

Calls

2 calls:

18.0ms	(/ (- z a) (- z t))
37.0ms	(/ y (/ (- z a) (- z t)))

series211.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ (- z a) (- z t))
152.0ms	(/ y (/ (- z a) (- z t)))

simplify1.8s

Counts

200 → 200

Iterations

Iter	Nodes
done	5010
2	2494
1	713
0	268

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))
2.3b	(/ y (/ (* (cbrt (- z a)) (cbrt (- z a))) (/ (- z t) (cbrt (- z a)))))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

497×	`times-frac`
249×	`add-sqr-sqrt` `*-un-lft-identity`
139×	`add-cube-cbrt`
115×	`cbrt-prod`
55×	`distribute-lft-out--` `difference-of-squares`
51×	`associate-/r*`
22×	`add-exp-log`
16×	`add-cbrt-cube`
14×	`cbrt-div`
13×	`associate-/r/`
11×	`cbrt-undiv` `div-exp`
9×	`div-inv`
7×	`flip3--` `flip--`
4×	`pow1` `add-log-exp`
3×	`pow1/3` `associate-/l*`
2×	`prod-exp` `cbrt-unprod`
1×	`clear-num` `frac-2neg`

Counts

4 → 273

Calls

4 calls:

3.0ms	(cbrt (- z a))
3.0ms	(cbrt (- z a))
3.0ms	(cbrt (- z a))
69.0ms	(/ y (/ (* (cbrt (- z a)) (cbrt (- z a))) (/ (- z t) (cbrt (- z a)))))

series904.0ms

Counts

4 → 12

Calls

4 calls:

246.0ms	(cbrt (- z a))
235.0ms	(cbrt (- z a))
237.0ms	(cbrt (- z a))
186.0ms	(/ y (/ (* (cbrt (- z a)) (cbrt (- z a))) (/ (- z t) (cbrt (- z a)))))

simplify2.0s

Counts

285 → 285

Iterations

Iter	Nodes
done	5000
1	1363
0	484

prune1.9s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.2b	(/ (/ (- z a) (- z t)) (cbrt y))
1.4b	(/ (* (cbrt y) (cbrt y)) (/ (/ (- z a) (- z t)) (cbrt y)))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

1223×	`times-frac`
785×	`add-sqr-sqrt` `*-un-lft-identity`
405×	`add-cube-cbrt`
288×	`cbrt-prod`
196×	`associate-/r*`
190×	`distribute-lft-out--` `difference-of-squares`
39×	`associate-/r/`
32×	`associate-/l*`
30×	`add-exp-log`
23×	`div-inv`
19×	`flip3--` `flip--`
18×	`add-cbrt-cube`
15×	`cbrt-undiv` `div-exp`
4×	`pow1` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `pow1/3` `div-sub`
1×	`associate-/l/`

Counts

4 → 665

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
38.0ms	(/ (/ (- z a) (- z t)) (cbrt y))
70.0ms	(/ (* (cbrt y) (cbrt y)) (/ (/ (- z a) (- z t)) (cbrt y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

308.0ms	(cbrt y)
295.0ms	(cbrt y)
305.0ms	(/ (/ (- z a) (- z t)) (cbrt y))
196.0ms	(/ (* (cbrt y) (cbrt y)) (/ (/ (- z a) (- z t)) (cbrt y)))

simplify2.0s

Counts

677 → 677

Iterations

Iter	Nodes
done	5000
1	2258
0	740

prune3.2s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes567.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	10

end0.0ms

sample1.1s

Algorithm

intervals

Results

697.0ms	8772×	body	80	valid
0.0ms	1×	body	160	valid