Details

sample42.0ms

Algorithm

intervals

Results

19.0ms	271×	body	80	valid
1.0ms	2×	body	1280	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	320	valid

simplify3.0s

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

localize30.0ms

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))

rewrite86.0ms

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))
19.0ms	(* 60.0 (- x y))
24.0ms	(/ (* 60.0 (- x y)) (- z t))

series282.0ms

Counts

3 → 9

Calls

3 calls:

154.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
43.0ms	(* 60.0 (- x y))
84.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify1.2s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
2	1259
1	388
0	141

prune400.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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)))

rewrite109.0ms

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:

62.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
22.0ms	(/ (- z t) (- x y))
19.0ms	(/ 60.0 (/ (- z t) (- x y)))

series648.0ms

Counts

3 → 9

Calls

3 calls:

212.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
75.0ms	(/ (- z t) (- x y))
361.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify1.8s

Counts

217 → 217

Iterations

Iter	Nodes
done	5003
2	3227
1	826
0	303

prune995.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 105

Calls

3 calls:

24.0ms	(+ (* (/ 60.0 (- z t)) (- x y)) (* a 120.0))
15.0ms	(/ 60.0 (- z t))
32.0ms	(* (/ 60.0 (- z t)) (- x y))

series988.0ms

Counts

3 → 9

Calls

3 calls:

210.0ms	(+ (* (/ 60.0 (- z t)) (- x y)) (* a 120.0))
49.0ms	(/ 60.0 (- z t))
729.0ms	(* (/ 60.0 (- z t)) (- x y))

simplify1.2s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
2	1653
1	472
0	178

prune576.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (sqrt 60.0) (/ (sqrt 60.0) (/ (- z t) (- x y)))) (* a 120.0))
0.0b	(/ (- z t) (- x y))
0.3b	(* (sqrt 60.0) (/ (sqrt 60.0) (/ (- z t) (- x y))))
0.6b	(/ (sqrt 60.0) (/ (- z t) (- x y)))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

734×	`times-frac`
604×	`add-sqr-sqrt`
572×	`*-un-lft-identity`
288×	`add-cube-cbrt`
201×	`sqrt-prod`
191×	`associate-r`
142×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
30×	`associate-/r/`
20×	`add-cbrt-cube` `add-exp-log`
16×	`div-inv`
15×	`flip3--` `flip--`
11×	`associate-/l*`
10×	`unswap-sqr`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `associate-l` `add-log-exp`
4×	`insert-posit16`
3×	`prod-exp` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

4 → 528

Calls

4 calls:

26.0ms	(+ (* (sqrt 60.0) (/ (sqrt 60.0) (/ (- z t) (- x y)))) (* a 120.0))
22.0ms	(/ (- z t) (- x y))
54.0ms	(* (sqrt 60.0) (/ (sqrt 60.0) (/ (- z t) (- x y))))
22.0ms	(/ (sqrt 60.0) (/ (- z t) (- x y)))

series1.9s

Counts

4 → 12

Calls

4 calls:

557.0ms	(+ (* (sqrt 60.0) (/ (sqrt 60.0) (/ (- z t) (- x y)))) (* a 120.0))
87.0ms	(/ (- z t) (- x y))
756.0ms	(* (sqrt 60.0) (/ (sqrt 60.0) (/ (- z t) (- x y))))
545.0ms	(/ (sqrt 60.0) (/ (- z t) (- x y)))

simplify1.3s

Counts

540 → 540

Iterations

Iter	Nodes
done	5001
1	1517
0	512

prune2.0s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes856.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample1.1s

Algorithm

intervals

Results

764.0ms	8535×	body	80	valid
12.0ms	39×	body	1280	valid
9.0ms	27×	body	2560	valid
9.0ms	36×	body	640	valid
3.0ms	17×	body	320	valid
1.0ms	4×	body	160	valid