Details

sample40.0ms

Algorithm

intervals

Results

16.0ms	269×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify772.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize23.0ms

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))

rewrite160.0ms

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:

65.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
41.0ms	(* 60.0 (- x y))
53.0ms	(/ (* 60.0 (- x y)) (- z t))

series335.0ms

Counts

3 → 9

Calls

3 calls:

187.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
49.0ms	(* 60.0 (- x y))
99.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify1.2s

Counts

75 → 75

Iterations

Useful iterations: done (1.2s)

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

prune280.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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)))

rewrite158.0ms

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:

34.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
38.0ms	(/ (- x y) (- z t))
79.0ms	(* 60.0 (/ (- x y) (- z t)))

series358.0ms

Counts

3 → 9

Calls

3 calls:

197.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
79.0ms	(/ (- x y) (- z t))
82.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify2.3s

Counts

122 → 122

Iterations

Useful iterations: 3 (1.1s)

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

prune497.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

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)))

rewrite267.0ms

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:

194.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
31.0ms	(/ (- z t) (- x y))
27.0ms	(/ 60.0 (/ (- z t) (- x y)))

series736.0ms

Counts

3 → 9

Calls

3 calls:

199.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
70.0ms	(/ (- z t) (- x y))
466.0ms	(/ 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

prune791.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- x y))
0.5b	(cbrt (- x y))
0.5b	(cbrt (- x y))
0.6b	(* (cbrt (- x y)) (cbrt (- x y)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

4.0ms	(cbrt (- x y))
4.0ms	(cbrt (- x y))
5.0ms	(cbrt (- x y))
77.0ms	(* (cbrt (- x y)) (cbrt (- x y)))

series875.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(cbrt (- x y))
248.0ms	(cbrt (- x y))
269.0ms	(cbrt (- x y))
147.0ms	(* (cbrt (- x y)) (cbrt (- x y)))

simplify3.2s

Counts

113 → 113

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	131	1384
1	262	1281
2	618	1223
3	1338	1124
4	3510	1080
done	5001	1032

prune520.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes585.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.5s

Algorithm

intervals

Results

787.0ms	8521×	body	80	valid
20.0ms	52×	body	1280	valid
12.0ms	26×	body	2560	valid
9.0ms	35×	body	640	valid
3.0ms	19×	body	320	valid
1.0ms	9×	body	160	valid