Details

sample34.0ms

Algorithm

intervals

Results

9.0ms	273×	body	80	valid
8.0ms	266×	body	80	nan

simplify141.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite78.0ms

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:

63.0ms	(+ (- 1.0 x) (* y (sqrt x)))
13.0ms	(* y (sqrt x))

series150.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(+ (- 1.0 x) (* y (sqrt x)))
76.0ms	(* y (sqrt x))

simplify1.9s

Counts

43 → 43

Iterations

Useful iterations: 3 (759.0ms)

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

prune141.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite63.0ms

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:

2.0ms	(sqrt (sqrt x))
2.0ms	(sqrt (sqrt x))
20.0ms	(* y (sqrt (sqrt x)))
37.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series607.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(sqrt (sqrt x))
225.0ms	(sqrt (sqrt x))
142.0ms	(* y (sqrt (sqrt x)))
44.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify3.1s

Counts

100 → 100

Iterations

Useful iterations: done (3.1s)

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

prune309.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

121.0ms	(* (* y (sqrt (sqrt x))) (* (sqrt (fabs (cbrt x))) (sqrt (sqrt (cbrt x)))))
43.0ms	(* (sqrt (fabs (cbrt x))) (sqrt (sqrt (cbrt x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.3s

Counts

4 → 12

Calls

4 calls:

259.0ms	(* (* y (sqrt (sqrt x))) (* (sqrt (fabs (cbrt x))) (sqrt (sqrt (cbrt x)))))
485.0ms	(* (sqrt (fabs (cbrt x))) (sqrt (sqrt (cbrt x))))
283.0ms	(cbrt x)
257.0ms	(cbrt x)

simplify1.9s

Counts

96 → 96

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	160	1349
1	365	1180
2	1300	1070
done	5000	1057

prune486.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* y (sqrt (sqrt x))) (pow (* (sqrt (cbrt x)) (fabs (cbrt x))) (/ 1 2)))
0.4b	(* (sqrt (cbrt x)) (fabs (cbrt x)))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
17×	`add-sqr-sqrt`
15×	`prod-exp`
11×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
10×	`cbrt-prod` `associate-l`
8×	`associate-r` `sqrt-prod`
6×	`pow1`
4×	`pow-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`pow-to-exp` `pow1/3` `*-commutative`
1×	`unpow-prod-down` `pow-prod-down` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

46.0ms	(* (* y (sqrt (sqrt x))) (pow (* (sqrt (cbrt x)) (fabs (cbrt x))) (/ 1 2)))
14.0ms	(* (sqrt (cbrt x)) (fabs (cbrt x)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

285.0ms	(* (* y (sqrt (sqrt x))) (pow (* (sqrt (cbrt x)) (fabs (cbrt x))) (/ 1 2)))
293.0ms	(* (sqrt (cbrt x)) (fabs (cbrt x)))
273.0ms	(cbrt x)
319.0ms	(cbrt x)

simplify1.4s

Counts

84 → 84

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	158	1125
1	374	967
2	1284	844
done	5001	831

prune406.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.3s

Algorithm

intervals

Results

339.0ms	8653×	body	80	nan
302.0ms	8558×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid