Details

sample61.0ms

Algorithm

intervals

Results

34.0ms	271×	body	80	valid
1.0ms	2×	body	1280	valid
1.0ms	2×	body	640	valid
1.0ms	1×	body	2560	valid
0.0ms	1×	body	320	valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
27	4943
26	4711
25	4475
24	4250
23	4024
22	3792
21	3556
20	3331
19	3105
18	2836
17	2593
16	2368
15	2126
14	1751
13	1361
12	992
11	606
10	416
9	304
8	242
7	205
6	169
5	131
4	91
3	54
2	35
1	22
0	13

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize27.0ms

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))
0.7b	(/ (* 60.0 (- x y)) (- z t))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
10×	`add-cbrt-cube` `add-exp-log`
7×	`add-cube-cbrt`
5×	`pow1` `associate-/r` `times-frac` `associate-r*` `add-log-exp`
4×	`associate-*r/`
3×	`flip3--` `associate-l` `insert-posit16` `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` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 69

Calls

3 calls:

42.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
20.0ms	(* 60.0 (- x y))
28.0ms	(/ (* 60.0 (- x y)) (- z t))

series306.0ms

Counts

3 → 9

Calls

3 calls:

181.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
32.0ms	(* 60.0 (- x y))
93.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify1.4s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
2	1259
1	388
0	141

prune458.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

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)))

rewrite123.0ms

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-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
6×	`flip3--` `div-inv` `flip--`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `insert-posit16`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `flip-+`

Counts

3 → 208

Calls

3 calls:

72.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
24.0ms	(/ (- z t) (- x y))
21.0ms	(/ 60.0 (/ (- z t) (- x y)))

series576.0ms

Counts

3 → 9

Calls

3 calls:

216.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
56.0ms	(/ (- z t) (- x y))
304.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify2.1s

Counts

217 → 217

Iterations

Iter	Nodes
done	5003
2	3227
1	826
0	303

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- x y))
0.0b	(+ (/ (/ 60.0 (- z t)) (/ 1 (- x y))) (* a 120.0))
0.0b	(/ 60.0 (- z t))
0.3b	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

1131×	`times-frac`
700×	`add-sqr-sqrt` `*-un-lft-identity`
420×	`add-cube-cbrt`
140×	`distribute-lft-out--` `difference-of-squares`
93×	`associate-/r/`
47×	`div-inv`
46×	`flip3--` `flip--`
32×	`add-exp-log`
31×	`associate-/r*`
27×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`div-exp`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
4×	`insert-posit16`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 600

Calls

4 calls:

13.0ms	(/ 1 (- x y))
77.0ms	(+ (/ (/ 60.0 (- z t)) (/ 1 (- x y))) (* a 120.0))
7.0ms	(/ 60.0 (- z t))
40.0ms	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

series716.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ 1 (- x y))
190.0ms	(+ (/ (/ 60.0 (- z t)) (/ 1 (- x y))) (* a 120.0))
50.0ms	(/ 60.0 (- z t))
422.0ms	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

simplify2.1s

Counts

612 → 612

Iterations

Iter	Nodes
done	5001
1	2609
0	801

prune2.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

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)))

rewrite80.0ms

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-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `insert-posit16` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 116

Calls

3 calls:

20.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
14.0ms	(/ (- x y) (- z t))
41.0ms	(* 60.0 (/ (- x y) (- z t)))

series341.0ms

Counts

3 → 9

Calls

3 calls:

157.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
82.0ms	(/ (- x y) (- z t))
102.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify1.6s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	1517
1	471
0	173

prune592.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes593.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	13

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.4s	8535×	body	80	valid
22.0ms	39×	body	1280	valid
15.0ms	27×	body	2560	valid
13.0ms	36×	body	640	valid
5.0ms	17×	body	320	valid
1.0ms	4×	body	160	valid