Details

sample23.0ms

Algorithm

intervals

Results

9.0ms	269×	body	80	valid
1.0ms	3×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify624.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	22	13
2	37	13
3	61	13
4	95	13
5	126	13
6	159	13
7	191	13
8	245	13
9	316	13
10	404	13
11	465	13
12	545	13
13	558	13
done	558	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))
0.0b	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
0.7b	(/ (* 60.0 (- x y)) (- z t))

rewrite44.0ms

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:

10.0ms	(* 60.0 (- x y))
22.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
10.0ms	(/ (* 60.0 (- x y)) (- z t))

series218.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(* 60.0 (- x y))
122.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
62.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify631.0ms

Counts

75 → 75

Iterations

Useful iterations: 2 (116.0ms)

Iter	Nodes	Cost
0	138	885
1	367	838
2	1373	752
done	5000	752

prune183.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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)))

rewrite116.0ms

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:

78.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
11.0ms	(/ (- z t) (- x y))
15.0ms	(/ 60.0 (/ (- z t) (- x y)))

series492.0ms

Counts

3 → 9

Calls

3 calls:

157.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
51.0ms	(/ (- z t) (- x y))
284.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify1.0s

Counts

214 → 214

Iterations

Useful iterations: 2 (274.0ms)

Iter	Nodes	Cost
0	300	3766
1	728	3523
2	2724	3409
done	5001	3409

prune552.0ms

Pruning

5 alts after pruning (4 fresh and 1 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)))

rewrite52.0ms

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:

11.0ms	(/ (- x y) (- z t))
11.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
25.0ms	(* 60.0 (/ (- x y) (- z t)))

series234.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ (- x y) (- z t))
124.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
59.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify768.0ms

Counts

122 → 122

Iterations

Useful iterations: done (764.0ms)

Iter	Nodes	Cost
0	170	1605
1	449	1510
2	1464	1416
done	5000	1410

prune297.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ t (- x y))
0.0b	(+ (/ 60.0 (- (/ z (- x y)) (/ t (- x y)))) (* a 120.0))
0.4b	(/ 60.0 (- (/ z (- x y)) (/ t (- x y))))
0.9b	(- (/ z (- x y)) (/ t (- x y)))

rewrite441.0ms

Algorithm

rewrite-expression-head

Rules

185×	`*-un-lft-identity`
159×	`times-frac`
135×	`add-sqr-sqrt`
64×	`distribute-lft-out--`
47×	`add-cube-cbrt`
34×	`difference-of-squares`
26×	`associate-/r/`
23×	`associate-/r*`
15×	`distribute-rgt-out--`
13×	`flip3--` `flip--`
12×	`div-inv`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`associate-/l*`
4×	`pow1`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `frac-sub` `sub-div`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `sum-log` `flip-+`

Counts

4 → 168

Calls

4 calls:

6.0ms	(/ t (- x y))
289.0ms	(+ (/ 60.0 (- (/ z (- x y)) (/ t (- x y)))) (* a 120.0))
78.0ms	(/ 60.0 (- (/ z (- x y)) (/ t (- x y))))
56.0ms	(- (/ z (- x y)) (/ t (- x y)))

series343.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ t (- x y))
115.0ms	(+ (/ 60.0 (- (/ z (- x y)) (/ t (- x y)))) (* a 120.0))
84.0ms	(/ 60.0 (- (/ z (- x y)) (/ t (- x y))))
111.0ms	(- (/ z (- x y)) (/ t (- x y)))

simplify748.0ms

Counts

180 → 180

Iterations

Useful iterations: 2 (169.0ms)

Iter	Nodes	Cost
0	269	3242
1	543	3048
2	1638	2944
done	5000	2944

prune498.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes295.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample575.0ms

Algorithm

intervals

Results

297.0ms	8490×	body	80	valid
7.0ms	46×	body	1280	valid
5.0ms	41×	body	640	valid
4.0ms	20×	body	2560	valid
2.0ms	23×	body	320	valid
1.0ms	11×	body	160	valid