Details

sample49.0ms

Algorithm

intervals

Results

22.0ms

335×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 7 (1.1s)

Iter	Nodes	Cost
0	12	13
1	22	13
2	46	13
3	110	13
4	254	13
5	449	13
6	888	13
7	3544	11
done	5000	11

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (- x z) y) 0.25)
0.0b	(+ (* 4.0 (+ (/ (- x z) y) 0.25)) 1.0)
0.0b	(/ (- x z) y)

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

73.0ms	(+ (/ (- x z) y) 0.25)
83.0ms	(+ (* 4.0 (+ (/ (- x z) y) 0.25)) 1.0)
32.0ms	(/ (- x z) y)

series138.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ (/ (- x z) y) 0.25)
51.0ms	(+ (* 4.0 (+ (/ (- x z) y) 0.25)) 1.0)
57.0ms	(/ (- x z) y)

simplify944.0ms

Counts

73 → 73

Iterations

Useful iterations: done (939.0ms)

Iter	Nodes	Cost
0	130	854
1	334	817
2	1173	771
done	5000	741

prune472.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 4.0 (/ (- x z) y))
0.0b	(+ 2.0 (* 4.0 (/ (- x z) y)))
0.0b	(/ (- x z) y)

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 87

Calls

3 calls:

51.0ms	(* 4.0 (/ (- x z) y))
13.0ms	(+ 2.0 (* 4.0 (/ (- x z) y)))
36.0ms	(/ (- x z) y)

series176.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(* 4.0 (/ (- x z) y))
51.0ms	(+ 2.0 (* 4.0 (/ (- x z) y)))
51.0ms	(/ (- x z) y)

simplify1.2s

Counts

96 → 96

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	137	1051
1	364	976
2	1520	896
done	5001	890

prune586.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 4.0 (- (/ x y) (/ z y)))
0.0b	(+ 2.0 (* 4.0 (- (/ x y) (/ z y))))
0.0b	(- (/ x y) (/ z y))

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
20×	`times-frac`
12×	`associate-r`
9×	`add-cube-cbrt`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`add-log-exp`
5×	`pow1` `add-exp-log` `sub-neg` `add-cbrt-cube`
4×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `associate-*r/` `div-inv`
3×	`associate-l`
2×	`flip3--` `distribute-rgt-out--` `frac-sub` `flip--` `sub-div`
1×	`+-commutative` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 73

Calls

3 calls:

143.0ms	(* 4.0 (- (/ x y) (/ z y)))
18.0ms	(+ 2.0 (* 4.0 (- (/ x y) (/ z y))))
41.0ms	(- (/ x y) (/ z y))

series142.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(* 4.0 (- (/ x y) (/ z y)))
42.0ms	(+ 2.0 (* 4.0 (- (/ x y) (/ z y))))
39.0ms	(- (/ x y) (/ z y))

simplify760.0ms

Counts

82 → 82

Iterations

Useful iterations: 2 (236.0ms)

Iter	Nodes	Cost
0	125	1015
1	328	966
2	1056	896
done	5001	896

prune459.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (/ 1 (/ y (- x z))))
0.0b	(+ 2.0 (* 4.0 (/ 1 (/ y (- x z)))))
0.0b	(/ y (- x z))
0.3b	(/ 1 (/ y (- x z)))

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

252×	`times-frac`
186×	`add-sqr-sqrt`
174×	`*-un-lft-identity`
122×	`add-cube-cbrt`
68×	`associate-r`
36×	`add-exp-log`
26×	`associate-/r*`
25×	`distribute-lft-out--` `difference-of-squares`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
8×	`flip3--` `flip--`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*` `add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `pow-flip` `flip3-+` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 253

Calls

4 calls:

116.0ms	(* 4.0 (/ 1 (/ y (- x z))))
12.0ms	(+ 2.0 (* 4.0 (/ 1 (/ y (- x z)))))
23.0ms	(/ y (- x z))
45.0ms	(/ 1 (/ y (- x z)))

series270.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* 4.0 (/ 1 (/ y (- x z))))
47.0ms	(+ 2.0 (* 4.0 (/ 1 (/ y (- x z)))))
56.0ms	(/ y (- x z))
73.0ms	(/ 1 (/ y (- x z)))

simplify4.0s

Counts

265 → 265

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	318	3658
1	904	3030
2	4768	2718
done	5000	2710

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes421.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.0s

10063×

body

valid