Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

285×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	19	11
2	29	11
3	44	11
4	55	11
5	69	11
6	82	11
7	109	11
8	123	11
9	129	11
10	133	11
11	158	11
12	407	11
13	2009	11
done	5000	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
11.3b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite52.0ms

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:

33.0ms	(* x (+ (/ x y) 1.0))
17.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series73.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* x (+ (/ x y) 1.0))
46.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify540.0ms

Counts

60 → 60

Iterations

Useful iterations: 2 (106.0ms)

Iter	Nodes	Cost
0	107	759
1	314	728
2	1432	632
done	5000	632

prune129.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize7.0ms

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))

rewrite55.0ms

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:

23.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
25.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series118.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
73.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify750.0ms

Counts

156 → 156

Iterations

Useful iterations: 2 (175.0ms)

Iter	Nodes	Cost
0	211	3002
1	510	2812
2	2269	2698
done	5000	2698

prune298.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 81

Calls

2 calls:

5.0ms	(/ x (+ x 1.0))
47.0ms	(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

series84.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ x (+ x 1.0))
44.0ms	(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

simplify664.0ms

Counts

87 → 87

Iterations

Useful iterations: 2 (143.0ms)

Iter	Nodes	Cost
0	145	1113
1	481	1073
2	1911	975
done	5000	975

prune193.0ms

Pruning

5 alts after pruning (4 fresh and 1 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))))
0.5b	(cbrt (* (/ x (+ x 1.0)) (+ (/ x y) 1.0)))
0.5b	(cbrt (* (/ x (+ x 1.0)) (+ (/ x y) 1.0)))
0.5b	(cbrt (* (/ x (+ x 1.0)) (+ (/ x y) 1.0)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

75×	`cbrt-div`
55×	`frac-times`
35×	`associate-*r/`
30×	`flip3-+` `flip-+`
20×	`associate-*l/`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

16.0ms	(* (cbrt (* (/ x (+ x 1.0)) (+ (/ x y) 1.0))) (cbrt (* (/ x (+ x 1.0)) (+ (/ x y) 1.0))))
12.0ms	(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)))

series915.0ms

Counts

4 → 12

Calls

4 calls:

253.0ms	(* (cbrt (* (/ x (+ x 1.0)) (+ (/ x y) 1.0))) (cbrt (* (/ x (+ x 1.0)) (+ (/ x y) 1.0))))
221.0ms	(cbrt (* (/ x (+ x 1.0)) (+ (/ x y) 1.0)))
216.0ms	(cbrt (* (/ x (+ x 1.0)) (+ (/ x y) 1.0)))
223.0ms	(cbrt (* (/ x (+ x 1.0)) (+ (/ x y) 1.0)))

simplify777.0ms

Counts

128 → 128

Iterations

Useful iterations: done (771.0ms)

Iter	Nodes	Cost
0	221	3975
1	478	3724
2	1506	3502
done	5000	3310

prune395.0ms

Pruning

5 alts after pruning (3 fresh and 2 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	11	11
done	11	11

end0.0ms

sample372.0ms

Algorithm

intervals

Results

230.0ms

9141×

body

valid