Details

sample37.0ms

Algorithm

intervals

Results

17.0ms

347×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	17
1	25	17
2	46	17
3	96	17
4	178	17
5	281	17
6	867	17
7	3899	17
done	5000	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.4b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* z 2.0) (- 1.0 t))
0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
9.4b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

31.0ms	(* (* z 2.0) (- 1.0 t))
35.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
42.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series179.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(* (* z 2.0) (- 1.0 t))
57.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
71.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify1.3s

Counts

71 → 71

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	140	1189
1	422	1116
2	2103	984
done	5000	980

prune226.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (- (+ (/ 2.0 t) (/ 2.0 (* t z))) 2.0))
0.0b	(+ (/ 2.0 t) (/ 2.0 (* t z)))
0.4b	(/ 2.0 (* t z))

rewrite404.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
14×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
6×	`distribute-lft-out`
5×	`add-sqr-sqrt` `add-cube-cbrt` `sum-log`
3×	`pow1` `associate-+r+` `times-frac` `frac-add` `div-inv` `associate-/l*`
2×	`cbrt-undiv` `+-commutative` `flip3-+` `diff-log` `div-exp` `flip-+` `distribute-lft-out--`
1×	`associate-+r-` `sub-neg` `flip3--` `frac-2neg` `prod-exp` `associate--l+` `clear-num` `associate-/r*` `flip--` `cbrt-unprod`

Counts

3 → 57

Calls

3 calls:

357.0ms	(+ (/ x y) (- (+ (/ 2.0 t) (/ 2.0 (* t z))) 2.0))
37.0ms	(+ (/ 2.0 t) (/ 2.0 (* t z)))
8.0ms	(/ 2.0 (* t z))

series135.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(+ (/ x y) (- (+ (/ 2.0 t) (/ 2.0 (* t z))) 2.0))
51.0ms	(+ (/ 2.0 t) (/ 2.0 (* t z)))
23.0ms	(/ 2.0 (* t z))

simplify958.0ms

Counts

66 → 66

Iterations

Useful iterations: 2 (200.0ms)

Iter	Nodes	Cost
0	126	1037
1	364	967
2	1713	905
done	5000	905

prune188.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* z 2.0) (- 1.0 t))
0.0b	(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
7.1b	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)
8.7b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

86×	`times-frac`
63×	`*-un-lft-identity`
57×	`add-sqr-sqrt`
55×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
9×	`pow1`
6×	`associate-/r*` `div-inv` `add-log-exp`
5×	`associate-r`
4×	`cbrt-undiv` `div-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l/`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `flip3-+` `associate-*r/` `clear-num` `flip-+` `distribute-lft-out`
1×	`+-commutative` `flip3--` `associate-l` `frac-add` `sum-log` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 139

Calls

4 calls:

39.0ms	(* (* z 2.0) (- 1.0 t))
53.0ms	(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
34.0ms	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)
33.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)

series302.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (* z 2.0) (- 1.0 t))
75.0ms	(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
76.0ms	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)
93.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)

simplify1.8s

Counts

151 → 151

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	253	3069
1	673	2933
2	3405	2753
done	5000	2751

prune528.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (/ 2.0 t) 2.0) (/ (/ 2.0 z) t))
0.0b	(+ (/ x y) (+ (- (/ 2.0 t) 2.0) (/ (/ 2.0 z) t)))
0.2b	(/ (/ 2.0 z) t)

rewrite468.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
59×	`*-un-lft-identity`
45×	`add-sqr-sqrt` `add-cube-cbrt`
17×	`add-log-exp`
13×	`associate-/l*`
8×	`add-exp-log` `frac-add` `add-cbrt-cube`
7×	`sum-log` `distribute-lft-out`
5×	`div-inv`
3×	`pow1` `cbrt-undiv` `flip3-+` `div-exp` `associate-/r*` `flip-+`
2×	`+-commutative` `associate-+l-` `associate-+l+` `flip3--` `diff-log` `flip--` `distribute-lft-out--`
1×	`associate-+r-` `sub-neg` `associate-+r+` `frac-2neg` `clear-num` `associate-/l/`

Counts

3 → 111

Calls

3 calls:

131.0ms	(+ (- (/ 2.0 t) 2.0) (/ (/ 2.0 z) t))
316.0ms	(+ (/ x y) (+ (- (/ 2.0 t) 2.0) (/ (/ 2.0 z) t)))
16.0ms	(/ (/ 2.0 z) t)

series138.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ (- (/ 2.0 t) 2.0) (/ (/ 2.0 z) t))
72.0ms	(+ (/ x y) (+ (- (/ 2.0 t) 2.0) (/ (/ 2.0 z) t)))
21.0ms	(/ (/ 2.0 z) t)

simplify1.3s

Counts

120 → 120

Iterations

Useful iterations: 2 (496.0ms)

Iter	Nodes	Cost
0	246	1957
1	682	1819
2	2945	1753
done	5000	1753

prune456.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes152.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	12	15
1	13	15
done	13	15

end0.0ms

sample1.6s

Algorithm

intervals

Results

989.0ms

10440×

body

valid