Details

sample38.0ms

Algorithm

intervals

Results

10.0ms	286×	body	80	nan
9.0ms	268×	body	80	valid

simplify4.2s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	7	163
1	13	163
2	25	138
3	43	138
4	71	138
5	161	138
6	498	138
7	1646	138
done	5001	138

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 1 expressions with local error:

0.3b	(* y (sqrt x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`associate-r`
4×	`*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
3×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log`
2×	`unswap-sqr`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`

Counts

1 → 24

Calls

1 calls:

15.0ms

(* y (sqrt x))

series71.0ms

Counts

1 → 3

Calls

1 calls:

71.0ms

(* y (sqrt x))

simplify2.5s

Counts

27 → 27

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	65	5823
1	163	4627
2	556	4507
3	3622	4307
done	5000	4232

prune106.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
8×	`sqrt-pow1`
4×	`expm1-log1p-u` `rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 96

Calls

4 calls:

3.0ms	(sqrt (sqrt x))
3.0ms	(sqrt (sqrt x))
46.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))
18.0ms	(* y (sqrt (sqrt x)))

series508.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(sqrt (sqrt x))
176.0ms	(sqrt (sqrt x))
63.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))
105.0ms	(* y (sqrt (sqrt x)))

simplify1.3s

Counts

108 → 108

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	138	24310
1	369	19338
2	1756	18656
done	5000	18256

prune492.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (/ 1 x) -1/4)
0.1b	(sqrt (sqrt x))
0.2b	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))
0.3b	(* y (sqrt (sqrt x)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
34×	`add-sqr-sqrt`
26×	`unpow-prod-down` `-un-lft-identity` `associate-r*` `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×	`expm1-log1p-u` `sqrt-pow1` `associate-l` `cbrt-unprod` `log1p-expm1-u` `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 → 125

Calls

4 calls:

5.0ms	(pow (/ 1 x) -1/4)
2.0ms	(sqrt (sqrt x))
46.0ms	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))
18.0ms	(* y (sqrt (sqrt x)))

series681.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(pow (/ 1 x) -1/4)
179.0ms	(sqrt (sqrt x))
117.0ms	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))
121.0ms	(* y (sqrt (sqrt x)))

simplify1.9s

Counts

137 → 137

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	251	48739
1	735	40296
2	3175	39135
done	5000	38605

prune849.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.2b	(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (pow (/ 1 x) -1/4))
0.3b	(* y (sqrt (sqrt (sqrt x))))
0.3b	(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

rewrite294.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-exp-log`
52×	`sqrt-prod`
41×	`associate-r`
40×	`prod-exp`
33×	`add-sqr-sqrt`
23×	`*-un-lft-identity` `add-cube-cbrt`
20×	`add-cbrt-cube`
13×	`pow1` `unpow-prod-down`
12×	`pow-exp`
10×	`cbrt-unprod`
9×	`times-frac`
6×	`div-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `sqrt-pow1` `pow-prod-down` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-to-exp` `rec-exp` `1-exp` `*-commutative`
2×	`rem-sqrt-square` `pow1/2`
1×	`div-inv` `sqr-pow`

Counts

4 → 131

Calls

4 calls:

2.0ms	(sqrt (sqrt x))
202.0ms	(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (pow (/ 1 x) -1/4))
14.0ms	(* y (sqrt (sqrt (sqrt x))))
70.0ms	(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

series643.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(sqrt (sqrt x))
141.0ms	(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (pow (/ 1 x) -1/4))
163.0ms	(* y (sqrt (sqrt (sqrt x))))
130.0ms	(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

simplify3.1s

Counts

143 → 143

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	275	53002
1	763	40773
2	3957	39092
done	5000	38467

prune730.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes189.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	163
1	9	163
done	9	163

end0.0ms

sample1.7s

Algorithm

intervals

Results

825.0ms	8462×	body	80	nan
403.0ms	8553×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	1280	valid