Details

sample26.0ms

Algorithm

intervals

Results

8.0ms	252×	body	80	valid
2.0ms	13×	body	640	valid
1.0ms	15×	body	320	valid
1.0ms	8×	body	1280	valid
0.0ms	8×	body	160	valid

simplify7.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	13
1	20	13
2	45	13
3	109	13
4	244	13
5	483	13
6	939	13
7	1537	13
8	2687	13
9	3769	13
10	4241	13
11	4705	13
done	5001	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
1.9b	(+ x (/ (* (- y x) (- z t)) (- a t)))
17.7b	(/ (* (- y x) (- z t)) (- a t))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

18.0ms	(* (- y x) (- z t))
15.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
14.0ms	(/ (* (- y x) (- z t)) (- a t))

series293.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* (- y x) (- z t))
150.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
109.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify703.0ms

Counts

90 → 90

Iterations

Useful iterations: 2 (180.0ms)

Iter	Nodes	Cost
0	162	1284
1	469	1213
2	1885	1111
done	5000	1111

prune267.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.5b	(* (- y x) (/ (- z t) (- a t)))
1.9b	(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite57.0ms

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-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-l` `associate-/r` `flip--` `associate-/l` `add-log-exp`
4×	`associate-/r/`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `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 → 119

Calls

3 calls:

14.0ms	(/ (- z t) (- a t))
34.0ms	(* (- y x) (/ (- z t) (- a t)))
3.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

series315.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (- z t) (- a t))
114.0ms	(* (- y x) (/ (- z t) (- a t)))
154.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

simplify764.0ms

Counts

128 → 128

Iterations

Useful iterations: 2 (268.0ms)

Iter	Nodes	Cost
0	183	1813
1	477	1704
2	1693	1606
done	5000	1606

prune329.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ z (- a t)) (/ t (- a t)))
0.0b	(/ t (- a t))
1.5b	(* (- y x) (- (/ z (- a t)) (/ t (- a t))))
1.9b	(+ x (* (- y x) (- (/ z (- a t)) (/ t (- a t)))))

rewrite248.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 134

Calls

4 calls:

55.0ms	(- (/ z (- a t)) (/ t (- a t)))
5.0ms	(/ t (- a t))
167.0ms	(* (- y x) (- (/ z (- a t)) (/ t (- a t))))
14.0ms	(+ x (* (- y x) (- (/ z (- a t)) (/ t (- a t)))))

series377.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(- (/ z (- a t)) (/ t (- a t)))
44.0ms	(/ t (- a t))
114.0ms	(* (- y x) (- (/ z (- a t)) (/ t (- a t))))
153.0ms	(+ x (* (- y x) (- (/ z (- a t)) (/ t (- a t)))))

simplify754.0ms

Counts

146 → 146

Iterations

Useful iterations: 2 (280.0ms)

Iter	Nodes	Cost
0	222	2407
1	547	2273
2	2027	2163
done	5000	2163

prune410.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ t (- a t))
1.9b	(+ (+ x (* (/ z (- a t)) (- y x))) (* (- y x) (- (/ t (- a t)))))
3.1b	(* (- y x) (- (/ t (- a t))))
6.6b	(* (/ z (- a t)) (- y x))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-sqr-sqrt`
74×	`*-un-lft-identity`
61×	`times-frac`
51×	`associate-r`
44×	`add-cube-cbrt`
26×	`associate-l`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
15×	`distribute-lft-out--` `difference-of-squares`
13×	`add-exp-log` `add-cbrt-cube`
12×	`flip3--` `flip--`
10×	`frac-add`
9×	`distribute-neg-frac` `add-log-exp`
8×	`pow1` `frac-times` `associate-/r/`
7×	`associate-*l/`
6×	`flip3-+` `flip-+`
5×	`associate-r/` `associate-/r`
4×	`div-inv`
3×	`prod-exp` `sum-log` `distribute-rgt-neg-out` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `pow-prod-down` `*-commutative`
1×	`+-commutative` `neg-mul-1` `associate-+l+` `frac-2neg` `unsub-neg` `clear-num`

Counts

4 → 181

Calls

4 calls:

6.0ms	(/ t (- a t))
12.0ms	(+ (+ x (* (/ z (- a t)) (- y x))) (* (- y x) (- (/ t (- a t)))))
45.0ms	(* (- y x) (- (/ t (- a t))))
27.0ms	(* (/ z (- a t)) (- y x))

series417.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ t (- a t))
156.0ms	(+ (+ x (* (/ z (- a t)) (- y x))) (* (- y x) (- (/ t (- a t)))))
66.0ms	(* (- y x) (- (/ t (- a t))))
151.0ms	(* (/ z (- a t)) (- y x))

simplify1.6s

Counts

193 → 193

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	329	3325
1	886	3067
2	3833	2897
done	5001	2873

prune560.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.4b

regimes301.0ms

Accuracy

36.8% (4.8b remaining)

Error of 9.1b against oracle of 4.2b and baseline of 11.9b

bsearch4.0ms

simplify7.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	33	111
1	49	79
2	54	79
3	55	79
done	55	79

end0.0ms

sample692.0ms

Algorithm

intervals

Results

264.0ms	7778×	body	80	valid
57.0ms	475×	body	640	valid
42.0ms	277×	body	1280	valid
35.0ms	387×	body	320	valid
18.0ms	301×	body	160	valid
2.0ms	11×	body	2560	valid