Details

sample29.0ms

Algorithm

intervals

Results

12.0ms	255×	body	80	valid
0.0ms	1×	body	1280	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
2	14	9
done	14	9

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.6b

localize7.0ms

Local error

Found 1 expressions with local error:

8.6b	(/ (+ x y) (- 1.0 (/ y z)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
29×	`times-frac`
13×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`associate-/r*`
5×	`distribute-lft-out--`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 52

Calls

1 calls:

52.0ms

(/ (+ x y) (- 1.0 (/ y z)))

series94.0ms

Counts

1 → 3

Calls

1 calls:

93.0ms

(/ (+ x y) (- 1.0 (/ y z)))

simplify2.0s

Counts

55 → 55

Iterations

Useful iterations: 3 (566.0ms)

Iter	Nodes	Cost
0	97	855
1	214	831
2	688	797
3	3092	795
done	5001	795

prune149.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 6.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1 (- 1.0 (/ y z)))
8.4b	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
45×	`times-frac`
41×	`*-un-lft-identity`
24×	`add-cube-cbrt` `associate-r`
15×	`add-exp-log`
14×	`difference-of-squares`
9×	`add-cbrt-cube`
7×	`distribute-lft-out--`
6×	`associate-/r*`
5×	`pow1`
4×	`div-exp` `associate-l` `prod-exp` `associate-/r/`
3×	`associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `rec-exp` `flip3--` `flip3-+` `1-exp` `associate-*l/` `flip--` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `distribute-lft-out` `inv-pow`

Counts

2 → 101

Calls

2 calls:

29.0ms	(/ 1 (- 1.0 (/ y z)))
108.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series171.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(/ 1 (- 1.0 (/ y z)))
83.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify6.4s

Counts

107 → 107

Iterations

Useful iterations: 2 (659.0ms)

Iter	Nodes	Cost
0	147	1404
1	377	1242
2	3107	1087
done	5001	1087

prune315.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 6.9b

localize14.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
8.7b	(/ (- 1.0 (/ y z)) (+ x y))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

231×	`times-frac`
194×	`add-sqr-sqrt`
193×	`*-un-lft-identity`
89×	`add-cube-cbrt`
42×	`difference-of-squares`
34×	`associate-/r*`
31×	`distribute-lft-out`
21×	`distribute-lft-out--`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube` `associate-/l*`
8×	`div-exp`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv`
3×	`pow1`
2×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`flip3--` `pow-flip` `div-sub` `flip--` `inv-pow`

Counts

2 → 199

Calls

2 calls:

53.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
72.0ms	(/ (- 1.0 (/ y z)) (+ x y))

series225.0ms

Counts

2 → 6

Calls

2 calls:

159.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
65.0ms	(/ (- 1.0 (/ y z)) (+ x y))

simplify1.9s

Counts

205 → 205

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	249	4065
1	669	3570
2	2921	3422
done	5004	3215

prune391.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 6.9b

localize26.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (/ y z) (/ y z))
4.5b	(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
12.3b	(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

73×	`times-frac`
71×	`*-un-lft-identity`
68×	`add-sqr-sqrt`
51×	`add-cube-cbrt`
35×	`associate-l`
22×	`add-exp-log` `add-cbrt-cube`
17×	`associate-r`
13×	`swap-sqr`
12×	`pow1`
10×	`distribute-lft-out`
9×	`difference-of-squares`
6×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
4×	`associate-/r` `associate-/r/` `associate-/l`
3×	`expm1-log1p-u` `frac-times` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `pow-prod-down` `associate-l/` `-commutative` `flip--` `associate-/l/`
1×	`pow2` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-plus` `clear-num` `pow-sqr` `pow-prod-up`

Counts

3 → 161

Calls

3 calls:

25.0ms	(* (/ y z) (/ y z))
29.0ms	(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
117.0ms	(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

series216.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* (/ y z) (/ y z))
77.0ms	(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
109.0ms	(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

simplify487.0ms

Counts

170 → 170

Iterations

Useful iterations: done (479.0ms)

Iter	Nodes	Cost
0	250	3175
1	923	3013
done	5000	2752

prune628.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 6.9b

regimes154.0ms

Accuracy

63.5% (0.8b remaining)

Error of 6.4b against oracle of 5.6b and baseline of 7.7b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	24	65
1	31	57
done	31	57

end0.0ms

sample1.2s

Algorithm

intervals

Results

820.0ms	7997×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid