Details

sample22.0ms

Algorithm

intervals

Results

9.0ms	282×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid

simplify1.5s

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	177	13
7	209	13
8	271	13
9	353	13
10	448	13
11	639	13
12	732	13
13	795	13
14	796	13
done	796	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize9.0ms

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))

rewrite41.0ms

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:

20.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
10.0ms	(* 60.0 (- x y))
9.0ms	(/ (* 60.0 (- x y)) (- z t))

series208.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
29.0ms	(* 60.0 (- x y))
59.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify513.0ms

Counts

75 → 75

Iterations

Useful iterations: 2 (112.0ms)

Iter	Nodes	Cost
0	138	885
1	379	838
2	1498	752
done	5000	752

prune183.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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)))

rewrite45.0ms

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:

10.0ms	(/ (- x y) (- z t))
8.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
23.0ms	(* 60.0 (/ (- x y) (- z t)))

series228.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ (- x y) (- z t))
117.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
60.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify609.0ms

Counts

122 → 122

Iterations

Useful iterations: 2 (137.0ms)

Iter	Nodes	Cost
0	170	1605
1	457	1510
2	1651	1416
done	5000	1416

prune293.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

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)))

rewrite107.0ms

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:

70.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
10.0ms	(/ (- z t) (- x y))
13.0ms	(/ 60.0 (/ (- z t) (- x y)))

series482.0ms

Counts

3 → 9

Calls

3 calls:

149.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
53.0ms	(/ (- z t) (- x y))
279.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify1.1s

Counts

214 → 214

Iterations

Useful iterations: 2 (235.0ms)

Iter	Nodes	Cost
0	300	3766
1	731	3523
2	3062	3409
done	5000	3409

prune520.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 60.0 (- z t))
0.0b	(+ (* (/ 60.0 (- z t)) (- x y)) (* a 120.0))
0.2b	(* (/ 60.0 (- z t)) (- x y))

rewrite42.0ms

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

Counts

3 → 102

Calls

3 calls:

5.0ms	(/ 60.0 (- z t))
9.0ms	(+ (* (/ 60.0 (- z t)) (- x y)) (* a 120.0))
25.0ms	(* (/ 60.0 (- z t)) (- x y))

series463.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ 60.0 (- z t))
149.0ms	(+ (* (/ 60.0 (- z t)) (- x y)) (* a 120.0))
273.0ms	(* (/ 60.0 (- z t)) (- x y))

simplify632.0ms

Counts

111 → 111

Iterations

Useful iterations: 2 (138.0ms)

Iter	Nodes	Cost
0	175	1351
1	452	1300
2	1682	1208
done	5001	1208

prune256.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes364.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample550.0ms

Algorithm

intervals

Results

278.0ms	8578×	body	80	valid
10.0ms	49×	body	1280	valid
4.0ms	21×	body	2560	valid
3.0ms	28×	body	320	valid
2.0ms	17×	body	640	valid
1.0ms	11×	body	160	valid