Details

sample27.0ms

Algorithm

intervals

Results

13.0ms

322×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 8 (938.0ms)

Iter	Nodes	Cost
0	14	17
1	25	17
2	46	17
3	79	17
4	121	17
5	183	17
6	309	17
7	714	17
8	2840	15
done	5001	15

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 2.0 z) (* 2.0 1.0))
0.0b	(- (/ (+ (/ 2.0 z) (* 2.0 1.0)) t) (- 2.0 (/ x y)))
0.1b	(/ (+ (/ 2.0 z) (* 2.0 1.0)) t)

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

9.0ms	(+ (/ 2.0 z) (* 2.0 1.0))
80.0ms	(- (/ (+ (/ 2.0 z) (* 2.0 1.0)) t) (- 2.0 (/ x y)))
22.0ms	(/ (+ (/ 2.0 z) (* 2.0 1.0)) t)

series129.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ (/ 2.0 z) (* 2.0 1.0))
58.0ms	(- (/ (+ (/ 2.0 z) (* 2.0 1.0)) t) (- 2.0 (/ x y)))
39.0ms	(/ (+ (/ 2.0 z) (* 2.0 1.0)) t)

simplify1.5s

Counts

76 → 76

Iterations

Useful iterations: 3 (794.0ms)

Iter	Nodes	Cost
0	142	1296
1	367	1235
2	1006	1153
3	3224	1141
done	5000	1141

prune197.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (/ 2.0 (* t z)) (/ 2.0 t)) (- 2.0 (/ x y)))
0.0b	(+ (/ 2.0 (* t z)) (/ 2.0 t))
0.7b	(/ 2.0 (* t z))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

117.0ms	(- (+ (/ 2.0 (* t z)) (/ 2.0 t)) (- 2.0 (/ x y)))
15.0ms	(+ (/ 2.0 (* t z)) (/ 2.0 t))
3.0ms	(/ 2.0 (* t z))

series129.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(- (+ (/ 2.0 (* t z)) (/ 2.0 t)) (- 2.0 (/ x y)))
48.0ms	(+ (/ 2.0 (* t z)) (/ 2.0 t))
24.0ms	(/ 2.0 (* t z))

simplify741.0ms

Counts

74 → 74

Iterations

Useful iterations: 2 (207.0ms)

Iter	Nodes	Cost
0	146	1438
1	452	1338
2	1677	1272
done	5000	1272

prune181.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite401.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 114

Calls

3 calls:

350.0ms	(- (+ (/ (/ 2.0 t) z) (/ 2.0 t)) (- 2.0 (/ x y)))
41.0ms	(+ (/ (/ 2.0 t) z) (/ 2.0 t))
6.0ms	(/ (/ 2.0 t) z)

series130.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(- (+ (/ (/ 2.0 t) z) (/ 2.0 t)) (- 2.0 (/ x y)))
51.0ms	(+ (/ (/ 2.0 t) z) (/ 2.0 t))
22.0ms	(/ (/ 2.0 t) z)

simplify909.0ms

Counts

123 → 123

Iterations

Useful iterations: 2 (396.0ms)

Iter	Nodes	Cost
0	248	2105
1	664	1955
2	2157	1897
done	5000	1897

prune326.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ (sqrt 2.0) t) (/ (sqrt 2.0) z)) (/ 2.0 t))
0.3b	(* (/ (sqrt 2.0) t) (/ (sqrt 2.0) z))
0.4b	(/ (sqrt 2.0) t)
0.5b	(/ (sqrt 2.0) z)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
84×	`times-frac`
60×	`add-cube-cbrt` `*-un-lft-identity`
48×	`sqrt-prod`
22×	`associate-r` `associate-l`
20×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/l*`
9×	`unswap-sqr`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-/r*` `add-log-exp`
4×	`prod-exp` `cbrt-unprod` `div-inv`
3×	`frac-add`
2×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num`
1×	`+-commutative` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip-+`

Counts

4 → 165

Calls

4 calls:

11.0ms	(+ (* (/ (sqrt 2.0) t) (/ (sqrt 2.0) z)) (/ 2.0 t))
26.0ms	(* (/ (sqrt 2.0) t) (/ (sqrt 2.0) z))
3.0ms	(/ (sqrt 2.0) t)
3.0ms	(/ (sqrt 2.0) z)

series294.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(+ (* (/ (sqrt 2.0) t) (/ (sqrt 2.0) z)) (/ 2.0 t))
83.0ms	(* (/ (sqrt 2.0) t) (/ (sqrt 2.0) z))
44.0ms	(/ (sqrt 2.0) t)
50.0ms	(/ (sqrt 2.0) z)

simplify940.0ms

Counts

177 → 177

Iterations

Useful iterations: 2 (378.0ms)

Iter	Nodes	Cost
0	201	2104
1	532	1735
2	1686	1633
done	5000	1633

prune428.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes105.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	12	15
done	12	15

end0.0ms

sample694.0ms

Algorithm

intervals

Results

417.0ms

10529×

body

valid