Details

sample41.0ms

Algorithm

intervals

Results

19.0ms	275×	body	80	valid
0.0ms	1×	body	640	valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	37	10
3	60	10
4	103	10
5	163	10
6	214	10
7	241	10
8	280	10
9	321	10
10	406	10
11	504	10
12	572	10
13	636	10
14	664	10
done	664	10

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.8b	(* y (/ (- z t) (- z a)))

rewrite116.0ms

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-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 106

Calls

2 calls:

39.0ms	(/ (- z t) (- z a))
72.0ms	(* y (/ (- z t) (- z a)))

series193.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(/ (- z t) (- z a))
115.0ms	(* y (/ (- z t) (- z a)))

simplify2.3s

Counts

112 → 112

Iterations

Useful iterations: 2 (216.0ms)

Iter	Nodes	Cost
0	142	1355
1	354	1282
2	966	1200
3	2928	1200
done	5000	1200

prune475.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) (- z t))
0.2b	(/ 1 (/ (- z a) (- z t)))
1.8b	(* y (/ 1 (/ (- z a) (- z t))))

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
335×	`add-sqr-sqrt`
323×	`*-un-lft-identity`
157×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
35×	`add-exp-log`
19×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`expm1-log1p-u` `associate-l` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 333

Calls

3 calls:

40.0ms	(/ (- z a) (- z t))
33.0ms	(/ 1 (/ (- z a) (- z t)))
128.0ms	(* y (/ 1 (/ (- z a) (- z t))))

series422.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(/ (- z a) (- z t))
167.0ms	(/ 1 (/ (- z a) (- z t)))
175.0ms	(* y (/ 1 (/ (- z a) (- z t))))

simplify1.8s

Counts

342 → 342

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	354	5494
1	860	4443
2	1819	4058
done	5000	3982

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 68

Calls

4 calls:

7.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z a))
4.0ms	(cbrt (- z a))
5.0ms	(cbrt (- z a))

series1.6s

Counts

4 → 12

Calls

4 calls:

776.0ms	(cbrt (- z t))
263.0ms	(cbrt (- z a))
241.0ms	(cbrt (- z a))
272.0ms	(cbrt (- z a))

simplify3.0s

Counts

80 → 80

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	122	784
1	257	760
2	534	728
3	1161	679
4	2975	631
done	5000	612

prune675.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 68

Calls

4 calls:

5.0ms	(cbrt (- z a))
4.0ms	(cbrt (- z a))
4.0ms	(cbrt (- z a))
5.0ms	(cbrt (- z a))

series1.1s

Counts

4 → 12

Calls

4 calls:

223.0ms	(cbrt (- z a))
293.0ms	(cbrt (- z a))
298.0ms	(cbrt (- z a))
284.0ms	(cbrt (- z a))

simplify2.1s

Counts

80 → 80

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	72	784
1	152	760
2	312	728
3	674	680
4	1667	632
done	5000	612

prune739.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes401.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	19	36
1	23	35
done	23	35

end0.0ms

sample1.1s

Algorithm

intervals

Results

650.0ms	8670×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	640	valid