Details

sample48.0ms

Algorithm

intervals

Results

20.0ms

291×

body

valid

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
25	4987
24	4738
23	4485
22	4221
21	3975
20	3724
19	3468
18	3205
17	2954
16	2689
15	2425
14	2076
13	1689
12	1239
11	799
10	540
9	376
8	272
7	218
6	177
5	123
4	86
3	49
2	30
1	17
0	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.9b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
10.4b	(/ (* y (- z t)) (- a t))

rewrite55.0ms

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:

17.0ms	(* y (- z t))
37.0ms	(/ (* y (- z t)) (- a t))

series157.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(* y (- z t))
92.0ms	(/ (* y (- z t)) (- a t))

simplify2.3s

Counts

61 → 61

Iterations

Iter	Nodes
done	5044
3	3435
2	810
1	273
0	105

prune386.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

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:

21.0ms	(/ (- a t) (- z t))
19.0ms	(/ y (/ (- a t) (- z t)))

series320.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(/ (- a t) (- z t))
249.0ms	(/ y (/ (- a t) (- z t)))

simplify2.0s

Counts

200 → 200

Iterations

Iter	Nodes
done	5001
2	2516
1	716
0	270

prune1.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.1b	(* y (/ (- z t) (- a t)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 102

Calls

2 calls:

36.0ms	(/ (- z t) (- a t))
45.0ms	(* y (/ (- z t) (- a t)))

series147.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ (- z t) (- a t))
94.0ms	(* y (/ (- z t) (- a t)))

simplify2.6s

Counts

108 → 108

Iterations

Iter	Nodes
done	5036
3	4739
2	1149
1	367
0	138

prune520.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
3.2b	(cbrt (/ (- z t) (- a t)))
3.2b	(cbrt (/ (- z t) (- a t)))
3.2b	(cbrt (/ (- z t) (- a t)))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

333×	`*-un-lft-identity`
277×	`cbrt-prod`
273×	`add-sqr-sqrt`
229×	`times-frac`
106×	`distribute-lft-out--`
93×	`add-cube-cbrt`
78×	`difference-of-squares`
58×	`swap-sqr`
34×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `div-inv` `flip--`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 276

Calls

4 calls:

84.0ms	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
20.0ms	(cbrt (/ (- z t) (- a t)))
8.0ms	(cbrt (/ (- z t) (- a t)))
7.0ms	(cbrt (/ (- z t) (- a t)))

series1.7s

Counts

4 → 12

Calls

4 calls:

403.0ms	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
435.0ms	(cbrt (/ (- z t) (- a t)))
464.0ms	(cbrt (/ (- z t) (- a t)))
414.0ms	(cbrt (/ (- z t) (- a t)))

simplify2.4s

Counts

288 → 288

Iterations

Iter	Nodes
done	5000
3	2844
2	1220
1	569
0	291

prune1.8s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes701.0ms

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	11
1	11
0	10

end0.0ms

sample1.4s

Algorithm

intervals

Results

964.0ms	8760×	body	80	valid
0.0ms	1×	body	320	valid