Details

sample32.0ms

Algorithm

intervals

Results

11.0ms	266×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid

simplify5.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	22	13
2	37	13
3	62	13
4	98	13
5	140	13
6	178	13
7	210	13
8	273	13
9	354	13
10	459	13
11	588	13
12	814	13
13	1052	13
14	1336	13
15	1681	13
16	2087	13
17	2556	13
18	3062	13
19	3700	13
20	4316	13
21	4986	13
done	5000	13

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.4b

Counts

2 → 1

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
0.0b	(* 60.0 (- x y))
0.5b	(/ (* 60.0 (- x y)) (- z t))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

12.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
7.0ms	(* 60.0 (- x y))
10.0ms	(/ (* 60.0 (- x y)) (- z t))

series59.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
5.0ms	(* 60.0 (- x y))
17.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify411.0ms

Counts

75 → 75

Iterations

Useful iterations: done (406.0ms)

Iter	Nodes	Cost
0	138	885
1	379	842
2	1242	758
done	5001	746

prune112.0ms

Filtered

52 candidates to 75 candidates (-44.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	70	5	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	5	76

Merged error: 0.0b

Counts

76 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
0.0b	(/ (- x y) (- z t))
0.3b	(* 60.0 (/ (- x y) (- z t)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

11.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
12.0ms	(/ (- x y) (- z t))
15.0ms	(* 60.0 (/ (- x y) (- z t)))

series70.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
14.0ms	(/ (- x y) (- z t))
18.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify1.2s

Counts

122 → 122

Iterations

Useful iterations: 3 (489.0ms)

Iter	Nodes	Cost
0	170	1605
1	457	1520
2	1370	1426
3	4692	1412
done	5000	1412

prune128.0ms

Filtered

84 candidates to 122 candidates (-45.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	122	5	127

Merged error: 0.0b

Counts

127 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
0.0b	(/ (- z t) (- x y))
0.5b	(/ 60.0 (/ (- z t) (- x y)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 205

Calls

3 calls:

30.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
9.0ms	(/ (- z t) (- x y))
13.0ms	(/ 60.0 (/ (- z t) (- x y)))

series98.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
14.0ms	(/ (- z t) (- x y))
43.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify612.0ms

Counts

214 → 214

Iterations

Useful iterations: done (604.0ms)

Iter	Nodes	Cost
0	300	3766
1	731	3549
2	2697	3419
done	5001	3415

prune223.0ms

Filtered

146 candidates to 214 candidates (-46.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	214	5	219

Merged error: 0.0b

Counts

219 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 1 (/ (- z t) (* 60.0 (- x y)))) (* a 120.0))
0.0b	(* 60.0 (- x y))
0.4b	(/ (- z t) (* 60.0 (- x y)))
0.6b	(/ 1 (/ (- z t) (* 60.0 (- x y))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
44×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`add-exp-log`
28×	`add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-r/` `associate-/r`
11×	`associate-/r/`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
6×	`div-inv` `add-log-exp`
5×	`associate-r` `prod-exp`
3×	`rec-exp` `1-exp` `associate-l` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `inv-pow` `unswap-sqr`

Counts

4 → 139

Calls

4 calls:

22.0ms	(+ (/ 1 (/ (- z t) (* 60.0 (- x y)))) (* a 120.0))
7.0ms	(* 60.0 (- x y))
10.0ms	(/ (- z t) (* 60.0 (- x y)))
12.0ms	(/ 1 (/ (- z t) (* 60.0 (- x y))))

series106.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ (/ 1 (/ (- z t) (* 60.0 (- x y)))) (* a 120.0))
5.0ms	(* 60.0 (- x y))
17.0ms	(/ (- z t) (* 60.0 (- x y)))
43.0ms	(/ 1 (/ (- z t) (* 60.0 (- x y))))

simplify755.0ms

Counts

151 → 151

Iterations

Useful iterations: done (750.0ms)

Iter	Nodes	Cost
0	227	2221
1	583	2056
2	2137	1823
done	5001	1757

prune131.0ms

Filtered

87 candidates to 151 candidates (-73.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	151	5	156

Merged error: 0.0b

Counts

156 → 5

regimes958.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	16	13
done	16	13

end0.0ms

sample921.0ms

Algorithm

intervals

Results

366.0ms	8547×	body	80	valid
14.0ms	51×	body	1280	valid
6.0ms	40×	body	640	valid
6.0ms	25×	body	2560	valid
3.0ms	21×	body	320	valid
0.0ms	6×	body	160	valid
0.0ms	1×	body	5120	valid

Details

sample32.0ms

simplify5.2s

prune4.0ms

localize16.0ms

rewrite31.0ms

series59.0ms

simplify411.0ms

prune112.0ms

localize10.0ms

rewrite43.0ms

series70.0ms

simplify1.2s

prune128.0ms

localize10.0ms

rewrite69.0ms

series98.0ms

simplify612.0ms

prune223.0ms

localize11.0ms

rewrite56.0ms

series106.0ms

simplify755.0ms

prune131.0ms

regimes958.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample921.0ms

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