Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

292×

body

valid

simplify158.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	19	11
2	28	11
3	43	11
4	54	11
5	68	11
6	81	11
7	108	11
8	122	11
9	128	11
10	132	11
11	142	11
12	146	11
13	148	11
done	148	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
8.9b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite48.0ms

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:

31.0ms	(* x (+ (/ x y) 1.0))
16.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series77.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* x (+ (/ x y) 1.0))
48.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.9s

Counts

60 → 60

Iterations

Useful iterations: 3 (705.0ms)

Iter	Nodes	Cost
0	107	759
1	304	728
2	1048	632
3	4478	629
done	5000	629

prune134.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

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))

rewrite52.0ms

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:

21.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
23.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series124.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
77.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify780.0ms

Counts

156 → 156

Iterations

Useful iterations: done (774.0ms)

Iter	Nodes	Cost
0	211	3002
1	503	2812
2	1693	2698
done	5000	2694

prune326.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
0.3b	(cbrt (+ (/ x y) 1.0))
0.3b	(cbrt (+ (/ x y) 1.0))
0.3b	(cbrt (+ (/ x y) 1.0))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

58.0ms	(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
7.0ms	(cbrt (+ (/ x y) 1.0))
7.0ms	(cbrt (+ (/ x y) 1.0))
7.0ms	(cbrt (+ (/ x y) 1.0))

series1.1s

Counts

4 → 12

Calls

4 calls:

308.0ms	(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
284.0ms	(cbrt (+ (/ x y) 1.0))
277.0ms	(cbrt (+ (/ x y) 1.0))
279.0ms	(cbrt (+ (/ x y) 1.0))

simplify1.9s

Counts

115 → 115

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	105	1706
1	213	1566
2	513	1472
3	1332	1319
4	3309	1295
done	5001	1269

prune353.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))))
0.6b	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
0.6b	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
0.6b	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))

rewrite295.0ms

Algorithm

rewrite-expression-head

Rules

1062×	`times-frac`
1022×	`*-un-lft-identity`
641×	`cbrt-prod`
478×	`add-sqr-sqrt`
422×	`add-cube-cbrt`
264×	`distribute-lft-out`
134×	`swap-sqr`
74×	`associate-r` `associate-l`
49×	`associate-/r/`
28×	`div-inv`
21×	`flip3-+` `flip-+`
16×	`unswap-sqr`
11×	`pow1`
9×	`pow1/3`
7×	`cbrt-div`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 567

Calls

4 calls:

189.0ms	(* (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))))
13.0ms	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
13.0ms	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
14.0ms	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))

series1.0s

Counts

4 → 12

Calls

4 calls:

275.0ms	(* (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))))
249.0ms	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
241.0ms	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
240.0ms	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))

simplify1.3s

Counts

579 → 579

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	538	19645
1	961	18238
2	3073	17944
done	5001	17932

prune1.6s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes51.0ms

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

sample392.0ms

Algorithm

intervals

Results

240.0ms

9108×

body

valid