Details

sample34.0ms

Algorithm

intervals

Results

8.0ms	269×	body	80	valid
7.0ms	297×	body	80	nan

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	13	8
2	23	8
3	40	8
4	62	8
5	134	8
6	407	8
7	1347	8
done	5000	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- 1.0 x) (* y (sqrt x)))
0.2b	(* y (sqrt x))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`add-log-exp`
6×	`associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
3×	`associate-l`
2×	`associate-+l+` `sum-log` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 37

Calls

2 calls:

43.0ms	(+ (- 1.0 x) (* y (sqrt x)))
10.0ms	(* y (sqrt x))

series110.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(+ (- 1.0 x) (* y (sqrt x)))
45.0ms	(* y (sqrt x))

simplify616.0ms

Counts

43 → 43

Iterations

Useful iterations: done (614.0ms)

Iter	Nodes	Cost
0	96	442
1	253	398
2	905	366
done	5001	355

prune158.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.1b	(sqrt (sqrt x))
0.3b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
4×	`rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 88

Calls

4 calls:

5.0ms	(sqrt (sqrt x))
5.0ms	(sqrt (sqrt x))
31.0ms	(* y (sqrt (sqrt x)))
70.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series607.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(sqrt (sqrt x))
217.0ms	(sqrt (sqrt x))
96.0ms	(* y (sqrt (sqrt x)))
57.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify1.2s

Counts

100 → 100

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	132	915
1	355	716
2	1762	661
done	5000	640

prune229.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (/ 1 x) -1/4)
0.1b	(sqrt (sqrt x))
0.3b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
34×	`add-sqr-sqrt`
26×	`add-cube-cbrt` `unpow-prod-down` `-un-lft-identity` `associate-r*`
22×	`sqrt-prod`
19×	`prod-exp`
18×	`times-frac`
12×	`pow-exp`
11×	`add-cbrt-cube`
10×	`pow1`
6×	`div-exp`
4×	`sqrt-pow1` `associate-l` `cbrt-unprod` `add-log-exp`
3×	`pow-to-exp` `rec-exp` `pow-unpow` `pow-pow` `1-exp` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `div-inv` `sqr-pow`
1×	`pow-flip` `pow-prod-down` `inv-pow`

Counts

4 → 117

Calls

4 calls:

11.0ms	(pow (/ 1 x) -1/4)
4.0ms	(sqrt (sqrt x))
22.0ms	(* y (sqrt (sqrt x)))
74.0ms	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))

series667.0ms

Counts

4 → 12

Calls

4 calls:

247.0ms	(pow (/ 1 x) -1/4)
189.0ms	(sqrt (sqrt x))
106.0ms	(* y (sqrt (sqrt x)))
125.0ms	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))

simplify2.1s

Counts

129 → 129

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	242	1447
1	711	1234
2	3113	1154
done	5001	1141

prune449.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- 1.0 x) (* (* (pow x 1/4) y) (pow (/ 1 x) -1/4)))
0.1b	(pow (/ 1 x) -1/4)
0.3b	(* (pow x 1/4) y)
0.3b	(* (* (pow x 1/4) y) (pow (/ 1 x) -1/4))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-exp-log`
45×	`prod-exp`
30×	`unpow-prod-down`
28×	`add-sqr-sqrt`
27×	`pow-exp`
23×	`add-cube-cbrt` `*-un-lft-identity`
20×	`associate-r`
18×	`times-frac`
12×	`pow-to-exp`
11×	`add-cbrt-cube`
10×	`div-exp`
9×	`add-log-exp`
8×	`associate-l`
6×	`pow1`
5×	`rec-exp` `1-exp`
4×	`cbrt-unprod` `sqr-pow`
3×	`pow-unpow` `pow-pow` `unswap-sqr`
2×	`associate-+l+` `sum-log` `*-commutative` `div-inv`
1×	`+-commutative` `associate-+l-` `sub-neg` `pow-flip` `flip3-+` `diff-log` `flip-+` `inv-pow`

Counts

4 → 124

Calls

4 calls:

53.0ms	(+ (- 1.0 x) (* (* (pow x 1/4) y) (pow (/ 1 x) -1/4)))
15.0ms	(pow (/ 1 x) -1/4)
21.0ms	(* (pow x 1/4) y)
52.0ms	(* (* (pow x 1/4) y) (pow (/ 1 x) -1/4))

series574.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ (- 1.0 x) (* (* (pow x 1/4) y) (pow (/ 1 x) -1/4)))
318.0ms	(pow (/ 1 x) -1/4)
136.0ms	(* (pow x 1/4) y)
70.0ms	(* (* (pow x 1/4) y) (pow (/ 1 x) -1/4))

simplify2.4s

Counts

136 → 136

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	231	1758
1	666	1524
2	2892	1404
done	5004	1394

prune379.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes116.0ms

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	7	8
1	9	8
done	9	8

end0.0ms

sample1.5s

Algorithm

intervals

Results

505.0ms	8540×	body	80	valid
410.0ms	8649×	body	80	nan