Details

sample41.0ms

Algorithm

intervals

Results

17.0ms	275×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

simplify875.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	22	13
2	37	13
3	62	13
4	105	13
5	136	13
6	169	13
7	198	13
8	242	13
9	304	13
10	342	13
11	381	13
12	414	13
13	426	13
done	426	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

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))
0.2b	(/ (* 60.0 (- x y)) (- z t))

rewrite106.0ms

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:

55.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
27.0ms	(* 60.0 (- x y))
23.0ms	(/ (* 60.0 (- x y)) (- z t))

series327.0ms

Counts

3 → 9

Calls

3 calls:

194.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
43.0ms	(* 60.0 (- x y))
89.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify894.0ms

Counts

75 → 75

Iterations

Useful iterations: done (891.0ms)

Iter	Nodes	Cost
0	138	885
1	367	838
2	1213	752
done	5000	746

prune252.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

90.0ms	(+ (/ (+ (* 60.0 x) (* (- y) 60.0)) (- z t)) (* a 120.0))
15.0ms	(+ (* 60.0 x) (* (- y) 60.0))
47.0ms	(/ (+ (* 60.0 x) (* (- y) 60.0)) (- z t))

series256.0ms

Counts

3 → 9

Calls

3 calls:

138.0ms	(+ (/ (+ (* 60.0 x) (* (- y) 60.0)) (- z t)) (* a 120.0))
39.0ms	(+ (* 60.0 x) (* (- y) 60.0))
79.0ms	(/ (+ (* 60.0 x) (* (- y) 60.0)) (- z t))

simplify2.4s

Counts

76 → 76

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	129	1388
1	340	1073
2	1170	1005
3	4702	991
done	5000	991

prune308.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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))
0.4b	(/ 60.0 (/ (- z t) (- x y)))

rewrite245.0ms

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:

147.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
41.0ms	(/ (- z t) (- x y))
38.0ms	(/ 60.0 (/ (- z t) (- x y)))

series571.0ms

Counts

3 → 9

Calls

3 calls:

187.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
64.0ms	(/ (- z t) (- x y))
320.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify1.6s

Counts

214 → 214

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	300	3766
1	710	3523
2	2547	3409
done	5001	3397

prune765.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

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)))

rewrite154.0ms

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:

28.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
41.0ms	(/ (- x y) (- z t))
78.0ms	(* 60.0 (/ (- x y) (- z t)))

series407.0ms

Counts

3 → 9

Calls

3 calls:

201.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
95.0ms	(/ (- x y) (- z t))
111.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify2.6s

Counts

122 → 122

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	170	1605
1	444	1510
2	1291	1416
3	4016	1410
done	5000	1410

prune415.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes439.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	16
1	22	16
2	26	16
3	27	16
done	27	16

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.2s	8487×	body	80	valid
20.0ms	58×	body	1280	valid
8.0ms	35×	body	640	valid
6.0ms	16×	body	2560	valid
3.0ms	17×	body	320	valid
2.0ms	12×	body	160	valid
0.0ms	1×	body	5120	valid