Details

sample59.0ms

Algorithm

intervals

Results

14.0ms	285×	body	80	nan
13.0ms	267×	body	80	valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	1334
6	407
5	134
4	62
3	40
2	23
1	13
0	7

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (* (sqrt x) y))
0.3b	(* (sqrt x) y)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

5.0ms	(- x (* (sqrt x) y))
20.0ms	(* (sqrt x) y)

series130.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(- x (* (sqrt x) y))
69.0ms	(* (sqrt x) y)

simplify426.0ms

Counts

41 → 41

Iterations

Iter	Nodes
done	5001
2	824
1	210
0	83

prune241.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

3.0ms	(sqrt (sqrt x))
4.0ms	(sqrt (sqrt x))
22.0ms	(* (sqrt (sqrt x)) y)
46.0ms	(* (sqrt (sqrt x)) (* (sqrt (sqrt x)) y))

series670.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(sqrt (sqrt x))
190.0ms	(sqrt (sqrt x))
149.0ms	(* (sqrt (sqrt x)) y)
86.0ms	(* (sqrt (sqrt x)) (* (sqrt (sqrt x)) y))

simplify688.0ms

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1419
1	326
0	128

prune539.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (sqrt x)) y)
0.3b	(* (cbrt (pow (sqrt (sqrt x)) 3)) (* (sqrt (sqrt x)) y))
0.6b	(cbrt (pow (sqrt (sqrt x)) 3))
0.7b	(pow (sqrt (sqrt x)) 3)

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

66×	`sqrt-prod`
48×	`cbrt-prod`
36×	`add-sqr-sqrt` `associate-l`
30×	`*-un-lft-identity` `add-cube-cbrt`
27×	`unpow-prod-down` `cube-prod`
14×	`pow1`
12×	`add-exp-log`
10×	`add-cbrt-cube`
5×	`pow-pow`
4×	`sqrt-pow1` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`cube-mult` `pow-unpow` `unpow3` `unswap-sqr` `sqr-pow`
2×	`pow1/2` `*-commutative`
1×	`pow-to-exp` `pow1/3` `pow-exp` `rem-cbrt-cube` `sqrt-pow2` `rem-cube-cbrt`

Counts

4 → 141

Calls

4 calls:

23.0ms	(* (sqrt (sqrt x)) y)
83.0ms	(* (cbrt (pow (sqrt (sqrt x)) 3)) (* (sqrt (sqrt x)) y))
4.0ms	(cbrt (pow (sqrt (sqrt x)) 3))
5.0ms	(pow (sqrt (sqrt x)) 3)

series750.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(* (sqrt (sqrt x)) y)
67.0ms	(* (cbrt (pow (sqrt (sqrt x)) 3)) (* (sqrt (sqrt x)) y))
173.0ms	(cbrt (pow (sqrt (sqrt x)) 3))
364.0ms	(pow (sqrt (sqrt x)) 3)

simplify3.0s

Counts

153 → 153

Iterations

Iter	Nodes
done	5001
2	3183
1	571
0	197

prune725.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

13.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

318.0ms	(* (cbrt x) (cbrt x))
301.0ms	(cbrt x)
253.0ms	(cbrt x)
252.0ms	(cbrt x)

simplify1.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune566.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes153.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample1.9s

Algorithm

intervals

Results

828.0ms	8676×	body	80	nan
431.0ms	8543×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid