Details

sample26.0ms

Algorithm

intervals

Results

8.0ms	281×	body	80	nan
6.0ms	269×	body	80	valid

simplify106.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	13	8
2	23	8
3	38	8
4	55	8
5	70	8
6	79	8
7	96	8
8	115	8
9	122	8
10	126	8
11	130	8
done	130	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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:

13.0ms	(+ (- 1.0 x) (* y (sqrt x)))
5.0ms	(* y (sqrt x))

series82.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (- 1.0 x) (* y (sqrt x)))
45.0ms	(* y (sqrt x))

simplify1.2s

Counts

43 → 43

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	96	442
1	241	398
2	640	366
3	2090	353
done	5000	350

prune82.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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)))

rewrite32.0ms

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:

1.0ms	(sqrt (sqrt x))
1.0ms	(sqrt (sqrt x))
9.0ms	(* y (sqrt (sqrt x)))
18.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series387.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(sqrt (sqrt x))
132.0ms	(sqrt (sqrt x))
79.0ms	(* y (sqrt (sqrt x)))
42.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify1.9s

Counts

100 → 100

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	132	915
1	340	716
2	1028	650
3	3316	634
done	5000	631

prune199.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

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))

rewrite39.0ms

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:

4.0ms	(pow (/ 1 x) -1/4)
1.0ms	(sqrt (sqrt x))
7.0ms	(* y (sqrt (sqrt x)))
23.0ms	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))

series479.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(pow (/ 1 x) -1/4)
139.0ms	(sqrt (sqrt x))
80.0ms	(* y (sqrt (sqrt x)))
84.0ms	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))

simplify815.0ms

Counts

129 → 129

Iterations

Useful iterations: done (812.0ms)

Iter	Nodes	Cost
0	242	1447
1	626	1229
2	1751	1148
done	5001	1146

prune278.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (sqrt x)))
0.3b	(* y (sqrt (sqrt (sqrt x))))
0.3b	(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (pow (/ 1 x) -1/4))
0.4b	(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-exp-log`
63×	`sqrt-prod`
41×	`associate-r`
40×	`prod-exp`
35×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `*-un-lft-identity`
20×	`add-cbrt-cube`
14×	`pow1`
13×	`unpow-prod-down`
12×	`pow-exp`
10×	`cbrt-unprod`
9×	`sqrt-pow1` `times-frac`
6×	`div-exp`
5×	`associate-l`
4×	`pow-prod-down` `add-log-exp` `unswap-sqr`
3×	`pow-to-exp` `rem-sqrt-square` `rec-exp` `pow1/2` `1-exp` `*-commutative`
1×	`div-inv` `sqr-pow`

Counts

4 → 129

Calls

4 calls:

2.0ms	(sqrt (sqrt (sqrt x)))
10.0ms	(* y (sqrt (sqrt (sqrt x))))
95.0ms	(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (pow (/ 1 x) -1/4))
28.0ms	(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

series410.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(sqrt (sqrt (sqrt x)))
91.0ms	(* y (sqrt (sqrt (sqrt x))))
87.0ms	(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (pow (/ 1 x) -1/4))
81.0ms	(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

simplify923.0ms

Counts

141 → 141

Iterations

Useful iterations: done (919.0ms)

Iter	Nodes	Cost
0	267	2132
1	709	1481
2	2204	1312
done	5001	1310

prune305.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes74.0ms

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

sample628.0ms

Algorithm

intervals

Results

189.0ms	8517×	body	80	valid
169.0ms	8539×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid