Details

sample43.0ms

Algorithm

intervals

Results

16.0ms	275×	body	80	valid
1.0ms	4×	body	1280	valid
1.0ms	2×	body	2560	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid

simplify9.6s

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize70.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 60.0 (- x y))
0.0b	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
0.7b	(/ (* 60.0 (- x y)) (- z t))

rewrite198.0ms

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:

50.0ms	(* 60.0 (- x y))
100.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
44.0ms	(/ (* 60.0 (- x y)) (- z t))

series401.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(* 60.0 (- x y))
239.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
117.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify7.6s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
3	4917
2	1196
1	384
0	141

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize86.0ms

Local error

Found 3 expressions with local error:

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

rewrite306.0ms

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:

75.0ms	(/ (- x y) (- z t))
47.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
171.0ms	(* 60.0 (/ (- x y) (- z t)))

series506.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(/ (- x y) (- z t))
277.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
135.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify3.7s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	1507
1	471
0	173

prune1.8s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize127.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- z t) (- x y))
0.0b	(+ (* 60.0 (/ 1 (/ (- z t) (- x y)))) (* a 120.0))
0.3b	(* 60.0 (/ 1 (/ (- z t) (- x y))))
0.4b	(/ 1 (/ (- z t) (- x y)))

rewrite533.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
336×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*` `add-exp-log`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp` `insert-posit16`
3×	`associate-l` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 342

Calls

4 calls:

87.0ms	(/ (- z t) (- x y))
80.0ms	(+ (* 60.0 (/ 1 (/ (- z t) (- x y)))) (* a 120.0))
227.0ms	(* 60.0 (/ 1 (/ (- z t) (- x y))))
88.0ms	(/ 1 (/ (- z t) (- x y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

114.0ms	(/ (- z t) (- x y))
281.0ms	(+ (* 60.0 (/ 1 (/ (- z t) (- x y)))) (* a 120.0))
428.0ms	(* 60.0 (/ 1 (/ (- z t) (- x y))))
477.0ms	(/ 1 (/ (- z t) (- x y)))

simplify5.9s

Counts

354 → 354

Iterations

Iter	Nodes
done	5001
2	2917
1	1099
0	384

prune4.5s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize153.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (* (sqrt 60.0) (* (sqrt 60.0) (- x y))) (- z t)) (* a 120.0))
0.3b	(* (sqrt 60.0) (- x y))
0.3b	(* (sqrt 60.0) (* (sqrt 60.0) (- x y)))
0.7b	(/ (* (sqrt 60.0) (* (sqrt 60.0) (- x y))) (- z t))

rewrite549.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
20×	`add-cbrt-cube` `add-exp-log`
17×	`*-un-lft-identity`
12×	`associate-l`
11×	`pow1` `add-cube-cbrt`
10×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
7×	`prod-exp` `sqrt-prod` `cbrt-unprod`
6×	`sub-neg` `associate-r` `add-log-exp`
5×	`associate-/r*` `times-frac`
4×	`flip3--` `pow-prod-down` `insert-posit16` `flip--`
3×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
2×	`associate-/r/` `*-commutative` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 107

Calls

4 calls:

194.0ms	(+ (/ (* (sqrt 60.0) (* (sqrt 60.0) (- x y))) (- z t)) (* a 120.0))
80.0ms	(* (sqrt 60.0) (- x y))
94.0ms	(* (sqrt 60.0) (* (sqrt 60.0) (- x y)))
173.0ms	(/ (* (sqrt 60.0) (* (sqrt 60.0) (- x y))) (- z t))

series1.3s

Counts

4 → 12

Calls

4 calls:

630.0ms	(+ (/ (* (sqrt 60.0) (* (sqrt 60.0) (- x y))) (- z t)) (* a 120.0))
125.0ms	(* (sqrt 60.0) (- x y))
144.0ms	(* (sqrt 60.0) (* (sqrt 60.0) (- x y)))
364.0ms	(/ (* (sqrt 60.0) (* (sqrt 60.0) (- x y))) (- z t))

simplify4.4s

Counts

119 → 119

Iterations

Iter	Nodes
done	5001
2	1804
1	497
0	176

prune1.6s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes3.7s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample1.4s

Algorithm

intervals

Results

744.0ms	8495×	body	80	valid
49.0ms	50×	body	1280	valid
12.0ms	37×	body	640	valid
10.0ms	23×	body	2560	valid
4.0ms	19×	body	320	valid
1.0ms	9×	body	160	valid
0.0ms	1×	body	5120	valid