Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

297×

body

valid

simplify277.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	19	11
2	29	11
3	44	11
4	55	11
5	69	11
6	81	11
7	114	11
8	129	11
9	135	11
10	139	11
11	149	11
12	153	11
13	155	11
done	155	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.6b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
9.0b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite128.0ms

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:

78.0ms	(* x (+ (/ x y) 1.0))
48.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series105.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* x (+ (/ x y) 1.0))
63.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify2.9s

Counts

60 → 60

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	107	759
1	302	728
2	1120	632
3	4510	629
done	5000	629

prune155.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize13.0ms

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))

rewrite95.0ms

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:

42.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
45.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series134.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
85.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.3s

Counts

156 → 156

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	211	3002
1	489	2812
2	1720	2698
done	5000	2685

prune376.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))
0.2b	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

rewrite245.0ms

Algorithm

rewrite-expression-head

Rules

812×	`times-frac`
619×	`*-un-lft-identity`
343×	`add-sqr-sqrt` `add-cube-cbrt`
138×	`distribute-lft-out`
77×	`associate-/r*`
35×	`associate-/r/`
31×	`add-exp-log`
29×	`associate-/l*`
23×	`div-inv`
19×	`div-exp` `add-cbrt-cube`
18×	`flip3-+` `flip-+`
10×	`cbrt-undiv`
4×	`pow1`
3×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

3 → 460

Calls

3 calls:

73.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
46.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
73.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series292.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
108.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
79.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify2.1s

Counts

469 → 469

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	517	11423
1	1236	10132
2	2695	9168
done	5000	9045

prune731.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
0.1b	(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
14.1b	(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 114

Calls

3 calls:

80.0ms	(* x (+ (/ x y) 1.0))
143.0ms	(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
39.0ms	(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

series240.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* x (+ (/ x y) 1.0))
116.0ms	(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
91.0ms	(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

simplify1.5s

Counts

123 → 123

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	231	3042
1	646	2797
2	2583	2453
done	5000	2418

prune271.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.0b 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	8	11
1	10	11
done	10	11

end0.0ms

sample929.0ms

Algorithm

intervals

Results

686.0ms

9136×

body

valid