Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

282×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	19	11
2	30	11
3	45	11
4	60	11
5	74	11
6	86	11
7	119	11
8	146	11
9	171	11
10	187	11
11	294	11
12	612	11
13	1578	11
14	4517	11
done	5000	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
10.4b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
4×	`pow1` `times-frac` `associate-r/` `associate-r` `associate-/r`
3×	`flip3-+` `associate-l` `flip-+` `distribute-lft-out`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 54

Calls

2 calls:

49.0ms	(* x (+ (/ x y) 1.0))
41.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series86.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* x (+ (/ x y) 1.0))
57.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.3s

Counts

60 → 60

Iterations

Useful iterations: 2 (349.0ms)

Iter	Nodes	Cost
0	107	759
1	334	731
2	2019	643
done	5000	643

prune183.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

155×	`*-un-lft-identity`
146×	`times-frac`
71×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`distribute-lft-out`
26×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/l*`
6×	`flip3-+` `flip-+` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`

Counts

2 → 150

Calls

2 calls:

57.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
60.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series123.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
79.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.6s

Counts

156 → 156

Iterations

Useful iterations: 2 (441.0ms)

Iter	Nodes	Cost
0	211	3002
1	575	2840
2	3269	2706
done	5001	2706

prune292.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (+ (/ x y) 1.0) (+ x 1.0))
0.1b	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
33×	`times-frac`
27×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `associate-r`
18×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `associate-/r` `associate-/r/` `associate-/l`
3×	`flip3-+` `associate-l` `flip-+`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 85

Calls

2 calls:

70.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
81.0ms	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series106.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
60.0ms	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify1.1s

Counts

91 → 91

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	129	1342
1	364	1282
2	1846	1170
done	5001	1166

prune211.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x 1.0) (- (/ x y) 1.0))
0.3b	(* (/ x y) (/ x y))
0.3b	(* x (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
17.2b	(/ (* x (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (* (+ x 1.0) (- (/ x y) 1.0)))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

125×	`add-sqr-sqrt`
108×	`*-un-lft-identity`
104×	`add-cube-cbrt`
96×	`times-frac`
80×	`prod-diff`
44×	`distribute-rgt-in` `distribute-lft-in`
32×	`add-exp-log` `add-cbrt-cube`
23×	`associate-r`
20×	`associate-l`
15×	`pow1`
13×	`swap-sqr`
11×	`div-inv`
10×	`prod-exp` `cbrt-unprod`
9×	`frac-times` `associate-*r/`
8×	`cbrt-undiv` `flip3--` `div-exp` `associate-/r/` `flip--`
6×	`flip3-+` `flip-+` `unswap-sqr`
5×	`associate-*l/`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `*-commutative` `difference-of-squares`
2×	`associate-/l/`
1×	`pow2` `frac-2neg` `pow-plus` `clear-num` `associate-/r` `pow-sqr` `pow-prod-up` `distribute-lft-out` `associate-/l` `distribute-lft-out--`

Counts

4 → 245

Calls

4 calls:

72.0ms	(* (+ x 1.0) (- (/ x y) 1.0))
23.0ms	(* (/ x y) (/ x y))
55.0ms	(* x (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
58.0ms	(/ (* x (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (* (+ x 1.0) (- (/ x y) 1.0)))

series208.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (+ x 1.0) (- (/ x y) 1.0))
29.0ms	(* (/ x y) (/ x y))
63.0ms	(* x (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
85.0ms	(/ (* x (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (* (+ x 1.0) (- (/ x y) 1.0)))

simplify1.2s

Counts

257 → 257

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	419	5977
1	1552	5058
done	5002	4331

prune526.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes46.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	10	11
done	10	11

end0.0ms

sample833.0ms

Algorithm

intervals

Results

512.0ms

9161×

body

valid