Details

sample51.0ms

Algorithm

intervals

Results

22.0ms

256×

body

valid

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	21
1	32	21
2	71	21
3	183	21
4	580	21
5	2337	21
done	5000	21

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.2b	(+ (* (+ x y) z) (* (+ t y) a))
1.3b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
24.7b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite393.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
15×	`times-frac`
13×	`distribute-lft-out`
11×	`add-log-exp`
10×	`associate-*l/`
8×	`add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+`
6×	`pow1`
5×	`associate-/r*`
4×	`associate-l` `frac-add`
3×	`associate-r` `associate-/l*`
2×	`flip3--` `diff-log` `sum-log` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `associate--l+` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

39.0ms	(* (+ t y) a)
32.0ms	(+ (* (+ x y) z) (* (+ t y) a))
97.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
218.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series981.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (+ t y) a)
75.0ms	(+ (* (+ x y) z) (* (+ t y) a))
128.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
744.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify1.1s

Counts

102 → 102

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	177	2307
1	530	2201
2	2318	2079
done	5001	2077

prune688.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 8.4b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ (+ x t) y))
1.2b	(+ (* (+ x y) z) (* (+ t y) a))
1.3b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
24.7b	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

rewrite511.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
32×	`times-frac`
31×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
21×	`associate-r` `distribute-lft-out`
17×	`add-exp-log`
11×	`add-cbrt-cube` `add-log-exp`
10×	`associate-*l/`
7×	`pow1` `flip3-+` `flip-+`
5×	`associate-/r*`
4×	`div-exp` `frac-add` `prod-exp` `associate-/r/`
3×	`flip3--` `associate-l` `flip--` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `diff-log` `1-exp` `sum-log` `cbrt-unprod` `div-inv`
1×	`+-commutative` `sub-neg` `pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `associate--l+` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 118

Calls

4 calls:

45.0ms	(/ 1 (+ (+ x t) y))
17.0ms	(+ (* (+ x y) z) (* (+ t y) a))
91.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
354.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ 1 (+ (+ x t) y))
60.0ms	(+ (* (+ x y) z) (* (+ t y) a))
156.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
822.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

simplify3.1s

Counts

130 → 130

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	192	2712
1	583	2477
2	4088	2242
done	5001	2236

prune542.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 8.4b

localize39.0ms

Local error

Found 4 expressions with local error:

1.3b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
24.7b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))
24.7b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))
24.7b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite745.0ms

Algorithm

rewrite-expression-head

Rules

94×	`*-un-lft-identity`
45×	`times-frac`
36×	`distribute-lft-out`
34×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*` `add-log-exp`
6×	`associate-/r/` `associate-/l/`
4×	`pow1` `flip3--` `flip--`
3×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv`
2×	`diff-log`
1×	`sub-neg` `associate--l+` `sum-log`

Counts

4 → 134

Calls

4 calls:

124.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
219.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))
218.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))
176.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series2.3s

Counts

4 → 12

Calls

4 calls:

112.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
703.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))
759.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))
732.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify544.0ms

Counts

146 → 146

Iterations

Useful iterations: done (539.0ms)

Iter	Nodes	Cost
0	100	4373
1	276	4275
2	1237	3999
done	5002	3961

prune731.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 8.4b

localize49.0ms

Local error

Found 4 expressions with local error:

6.7b	(/ (/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (cbrt (+ (+ x t) y)))
17.9b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y))))
24.7b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))
24.7b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite715.0ms

Algorithm

rewrite-expression-head

Rules

196×	`*-un-lft-identity`
180×	`times-frac`
122×	`cbrt-div`
86×	`associate-/r/`
80×	`cbrt-prod`
76×	`add-sqr-sqrt` `add-cube-cbrt`
72×	`distribute-lft-out`
63×	`flip3-+` `flip-+`
40×	`frac-times`
24×	`associate-/l*`
22×	`add-exp-log`
20×	`associate-r/` `associate-l/`
19×	`associate-/r*`
15×	`add-cbrt-cube`
13×	`div-inv`
9×	`cbrt-undiv` `div-exp`
7×	`associate-/l/`
5×	`div-sub`
4×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
3×	`flip3--` `flip--`
2×	`prod-exp` `cbrt-unprod`

Counts

4 → 275

Calls

4 calls:

197.0ms	(/ (/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (cbrt (+ (+ x t) y)))
168.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y))))
161.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))
170.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series5.3s

Counts

4 → 12

Calls

4 calls:

887.0ms	(/ (/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (cbrt (+ (+ x t) y)))
3.2s	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y))))
646.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))
646.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify1.5s

Counts

287 → 287

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	361	13862
1	976	13150
2	4852	12550
done	5000	12520

prune1.4s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 8.4b

regimes748.0ms

Accuracy

47.3% (9.3b remaining)

Error of 17.8b against oracle of 8.5b and baseline of 26.2b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	73
1	36	73
done	36	73

end0.0ms

sample1.1s

Algorithm

intervals

Results

634.0ms	7995×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid