Details

sample33.0ms

Algorithm

intervals

Results

8.0ms	279×	body	80	valid
7.0ms	294×	body	80	nan

simplify896.0ms

Counts

1 → 1

Iterations

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

prune13.0ms

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

rewrite25.0ms

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:

8.0ms	(- x (* (sqrt x) y))
15.0ms	(* (sqrt x) y)

series125.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(- x (* (sqrt x) y))
69.0ms	(* (sqrt x) y)

simplify565.0ms

Counts

41 → 41

Iterations

Iter	Nodes
done	5001
2	824
1	210
0	83

prune236.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

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))

rewrite73.0ms

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:

7.0ms	(sqrt (sqrt x))
3.0ms	(sqrt (sqrt x))
21.0ms	(* (sqrt (sqrt x)) y)
37.0ms	(* (sqrt (sqrt x)) (* (sqrt (sqrt x)) y))

series695.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(sqrt (sqrt x))
224.0ms	(sqrt (sqrt x))
160.0ms	(* (sqrt (sqrt x)) y)
69.0ms	(* (sqrt (sqrt x)) (* (sqrt (sqrt x)) y))

simplify775.0ms

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1419
1	326
0	128

prune477.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
34×	`add-sqr-sqrt`
26×	`unpow-prod-down` `-un-lft-identity` `associate-l*` `add-cube-cbrt`
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-r` `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-prod-down` `pow-flip` `inv-pow`

Counts

4 → 117

Calls

4 calls:

6.0ms	(pow (/ 1 x) -1/4)
2.0ms	(sqrt (sqrt x))
29.0ms	(* (sqrt (sqrt x)) y)
69.0ms	(* (pow (/ 1 x) -1/4) (* (sqrt (sqrt x)) y))

series688.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(pow (/ 1 x) -1/4)
195.0ms	(sqrt (sqrt x))
144.0ms	(* (sqrt (sqrt x)) y)
137.0ms	(* (pow (/ 1 x) -1/4) (* (sqrt (sqrt x)) y))

simplify1.4s

Counts

129 → 129

Iterations

Iter	Nodes
done	5003
2	2669
1	686
0	239

prune614.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 121

Calls

4 calls:

9.0ms	(- x (* (pow (/ 1 x) -1/4) (* (pow x 1/4) y)))
16.0ms	(pow (/ 1 x) -1/4)
18.0ms	(* (pow x 1/4) y)
57.0ms	(* (pow (/ 1 x) -1/4) (* (pow x 1/4) y))

series598.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- x (* (pow (/ 1 x) -1/4) (* (pow x 1/4) y)))
299.0ms	(pow (/ 1 x) -1/4)
150.0ms	(* (pow x 1/4) y)
78.0ms	(* (pow (/ 1 x) -1/4) (* (pow x 1/4) y))

simplify1.0s

Counts

133 → 133

Iterations

Iter	Nodes
done	5000
2	2215
1	613
0	217

prune493.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes133.0ms

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

sample1.5s

Algorithm

intervals

Results

511.0ms	8523×	body	80	valid
408.0ms	8329×	body	80	nan
0.0ms	2×	body	1280	valid