Details

sample39.0ms

Algorithm

intervals

Results

10.0ms	296×	body	80	nan
9.0ms	272×	body	80	valid

simplify188.0ms

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	55	8
5	60	8
6	69	8
7	86	8
8	101	8
9	108	8
10	116	8
done	116	8

prune2.0ms

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))

rewrite66.0ms

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:

54.0ms	(+ (- 1.0 x) (* y (sqrt x)))
10.0ms	(* y (sqrt x))

series114.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(+ (- 1.0 x) (* y (sqrt x)))
57.0ms	(* y (sqrt x))

simplify1.7s

Counts

43 → 43

Iterations

Useful iterations: 3 (639.0ms)

Iter	Nodes	Cost
0	96	442
1	240	398
2	647	366
3	1984	353
done	5001	353

prune170.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.1b	(sqrt (sqrt x))
0.2b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite82.0ms

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:

4.0ms	(sqrt (sqrt x))
4.0ms	(sqrt (sqrt x))
18.0ms	(* y (sqrt (sqrt x)))
51.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series636.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(sqrt (sqrt x))
264.0ms	(sqrt (sqrt x))
112.0ms	(* y (sqrt (sqrt x)))
55.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify2.8s

Counts

100 → 100

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	132	915
1	339	716
2	962	650
3	2804	634
done	5000	624

prune246.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (sqrt x)))
0.2b	(* y (* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))))
0.3b	(* (* y (* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))) (sqrt (sqrt x)))
0.5b	(* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

rewrite541.0ms

Algorithm

rewrite-expression-head

Rules

186×	`sqrt-prod`
87×	`add-sqr-sqrt`
81×	`sqrt-pow1`
52×	`pow1`
27×	`add-cube-cbrt` `*-un-lft-identity` `pow1/2`
24×	`swap-sqr`
22×	`associate-r`
20×	`add-exp-log` `add-cbrt-cube`
17×	`unswap-sqr`
16×	`associate-l` `pow-prod-down`
13×	`pow-prod-up`
10×	`prod-exp` `cbrt-unprod`
7×	`pow-sqr`
4×	`add-log-exp`
3×	`rem-sqrt-square` `*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 176

Calls

4 calls:

4.0ms	(sqrt (sqrt (sqrt x)))
86.0ms	(* y (* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))))
374.0ms	(* (* y (* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))) (sqrt (sqrt x)))
68.0ms	(* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

series583.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(sqrt (sqrt (sqrt x)))
112.0ms	(* y (* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))))
53.0ms	(* (* y (* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))) (sqrt (sqrt x)))
190.0ms	(* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

simplify1.8s

Counts

188 → 188

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	216	2686
1	489	1271
2	1553	1143
done	5000	1121

prune338.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x))))
0.3b	(* (* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x)))) (sqrt (sqrt (cbrt x))))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite263.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
13×	`associate-r`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l`
4×	`add-log-exp`
2×	`pow1/3` `*-commutative`

Counts

4 → 73

Calls

4 calls:

59.0ms	(* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x))))
199.0ms	(* (* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x)))) (sqrt (sqrt (cbrt x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

193.0ms	(* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x))))
298.0ms	(* (* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x)))) (sqrt (sqrt (cbrt x))))
338.0ms	(cbrt x)
307.0ms	(cbrt x)

simplify1.2s

Counts

85 → 85

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	174	1279
1	438	1111
2	1589	981
done	5000	957

prune444.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes141.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	9	8
done	9	8

end0.0ms

sample1.9s

Algorithm

intervals

Results

358.0ms	8577×	body	80	nan
333.0ms	8533×	body	80	valid
0.0ms	1×	body	1280	valid