Details

sample37.0ms

Algorithm

intervals

Results

11.0ms	253×	body	80	valid
2.0ms	9×	body	1280	valid
2.0ms	14×	body	640	valid
1.0ms	8×	body	320	valid
0.0ms	2×	body	2560	valid
0.0ms	5×	body	160	valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	245
1	20	245
2	45	245
3	111	245
4	292	245
5	879	245
6	3465	245
done	5000	245

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.9b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
1.8b	(+ x (/ (* (- y x) (- z t)) (- a t)))
15.9b	(/ (* (- y x) (- z t)) (- a t))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

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

series490.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(* (- y x) (- z t))
264.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
164.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify1.7s

Counts

90 → 90

Iterations

Useful iterations: 2 (646.0ms)

Iter	Nodes	Cost
0	162	25515
1	480	22392
2	2654	21992
done	5000	22072

prune686.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.8b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.8b	(+ x (* (- y x) (/ (- z t) (- a t))))
1.9b	(* (- y x) (/ (- z t) (- a t)))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
23×	`distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `flip3--` `associate-l` `flip--` `associate-/l` `add-log-exp`
4×	`associate-/r/`
2×	`frac-times` `cbrt-undiv` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 119

Calls

3 calls:

22.0ms	(/ (- z t) (- a t))
6.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))
67.0ms	(* (- y x) (/ (- z t) (- a t)))

series587.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(/ (- z t) (- a t))
305.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))
195.0ms	(* (- y x) (/ (- z t) (- a t)))

simplify2.3s

Counts

128 → 128

Iterations

Useful iterations: 2 (719.0ms)

Iter	Nodes	Cost
0	183	36295
1	503	33341
2	2633	32775
done	5001	32775

prune800.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.8b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.8b	(+ x (/ (- y x) (/ (- a t) (- z t))))
2.1b	(/ (- y x) (/ (- a t) (- z t)))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

330×	`times-frac`
323×	`*-un-lft-identity`
321×	`add-sqr-sqrt`
113×	`add-cube-cbrt`
104×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
15×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
9×	`flip3--` `flip--`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`clear-num` `frac-2neg`
1×	`+-commutative` `associate-+r-` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`

Counts

3 → 274

Calls

3 calls:

28.0ms	(/ (- a t) (- z t))
83.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
32.0ms	(/ (- y x) (/ (- a t) (- z t)))

series638.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(/ (- a t) (- z t))
236.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
328.0ms	(/ (- y x) (/ (- a t) (- z t)))

simplify1.1s

Counts

283 → 283

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	354	130065
1	1154	121883
done	5000	119516

prune1.5s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 3.8b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ a (- z t))
0.0b	(/ t (- z t))
1.8b	(+ x (/ (- y x) (- (/ a (- z t)) (/ t (- z t)))))
2.1b	(/ (- y x) (- (/ a (- z t)) (/ t (- z t))))

rewrite460.0ms

Algorithm

rewrite-expression-head

Rules

273×	`*-un-lft-identity`
228×	`times-frac`
211×	`add-sqr-sqrt`
99×	`distribute-lft-out--`
63×	`difference-of-squares`
61×	`add-cube-cbrt`
32×	`associate-/r/`
28×	`associate-/r*`
18×	`distribute-rgt-out--`
16×	`flip3--` `flip--`
15×	`div-inv`
11×	`associate-/l*`
10×	`add-cbrt-cube` `add-exp-log`
6×	`add-log-exp`
4×	`pow1`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
2×	`div-sub` `associate-/l/`
1×	`+-commutative` `associate-+r-` `sum-log` `flip3-+` `frac-sub` `flip-+` `distribute-lft-out` `sub-div`

Counts

4 → 219

Calls

4 calls:

9.0ms	(/ a (- z t))
10.0ms	(/ t (- z t))
269.0ms	(+ x (/ (- y x) (- (/ a (- z t)) (/ t (- z t)))))
160.0ms	(/ (- y x) (- (/ a (- z t)) (/ t (- z t))))

series481.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ a (- z t))
50.0ms	(/ t (- z t))
213.0ms	(+ x (/ (- y x) (- (/ a (- z t)) (/ t (- z t)))))
172.0ms	(/ (- y x) (- (/ a (- z t)) (/ t (- z t))))

simplify1.9s

Counts

231 → 231

Iterations

Useful iterations: 2 (877.0ms)

Iter	Nodes	Cost
0	332	88863
1	816	82070
2	3262	81174
done	5000	81174

prune1.5s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.8b

regimes783.0ms

Accuracy

44.1% (4.0b remaining)

Error of 8.3b against oracle of 4.4b and baseline of 11.5b

bsearch3.0ms

simplify16.0ms

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	34	1148
1	45	1148
done	45	1148

end0.0ms

sample1.7s

Algorithm

intervals

Results

893.0ms	7915×	body	80	valid
159.0ms	274×	body	1280	valid
94.0ms	450×	body	640	valid
66.0ms	433×	body	320	valid
48.0ms	222×	body	160	valid
5.0ms	15×	body	2560	valid