Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

297×

body

valid

simplify210.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
8.2b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite81.0ms

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))
30.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series78.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* x (+ (/ x y) 1.0))
47.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify2.4s

Counts

60 → 60

Iterations

Useful iterations: 3 (1.1s)

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

prune127.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite83.0ms

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:

38.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
37.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series121.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
75.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify994.0ms

Counts

156 → 156

Iterations

Useful iterations: done (988.0ms)

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

prune296.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* 1.0 1.0))
0.1b	(* x (+ (/ x y) 1.0))
0.1b	(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
11.9b	(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 131

Calls

4 calls:

8.0ms	(- (* x x) (* 1.0 1.0))
48.0ms	(* x (+ (/ x y) 1.0))
104.0ms	(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
32.0ms	(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

series233.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (* x x) (* 1.0 1.0))
31.0ms	(* x (+ (/ x y) 1.0))
79.0ms	(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
80.0ms	(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

simplify1.3s

Counts

143 → 143

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	241	3250
1	661	2988
2	2620	2624
done	5000	2587

prune292.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

7.3b	(/ (pow x 2) y)
8.2b	(/ (+ (/ (pow x 2) y) (* 1.0 x)) (+ x 1.0))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity` `times-frac`
28×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`unpow-prod-down`
11×	`associate-/l*`
9×	`add-exp-log`
7×	`associate-/r*`
6×	`add-cbrt-cube`
4×	`div-exp` `distribute-lft-out` `unpow2` `sqr-pow`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `flip3-+` `clear-num` `associate-/r/` `flip-+` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
1×	`pow-to-exp` `pow-exp`

Counts

2 → 88

Calls

2 calls:

8.0ms	(/ (pow x 2) y)
82.0ms	(/ (+ (/ (pow x 2) y) (* 1.0 x)) (+ x 1.0))

series68.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(/ (pow x 2) y)
47.0ms	(/ (+ (/ (pow x 2) y) (* 1.0 x)) (+ x 1.0))

simplify2.1s

Counts

94 → 94

Iterations

Useful iterations: 3 (816.0ms)

Iter	Nodes	Cost
0	169	1369
1	356	1297
2	975	1117
3	3107	1116
done	5000	1116

prune215.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes35.0ms

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	8	11
1	10	11
done	10	11

end0.0ms

sample422.0ms

Algorithm

intervals

Results

228.0ms

9192×

body

valid