Details

sample21.0ms

Algorithm

intervals

Results

6.0ms	277×	body	80	valid
5.0ms	238×	body	80	nan

simplify107.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	13	8
2	23	8
3	38	8
4	55	8
5	70	8
6	79	8
7	96	8
8	115	8
9	122	8
10	126	8
11	130	8
done	130	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b	(* y (sqrt x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

4.0ms

(* y (sqrt x))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(* y (sqrt x))

simplify2.5s

Counts

25 → 25

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	63	210
1	149	187
2	364	173
3	1096	165
4	3129	160
done	5000	160

prune51.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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)))

rewrite27.0ms

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:

1.0ms	(sqrt (sqrt x))
1.0ms	(sqrt (sqrt x))
6.0ms	(* y (sqrt (sqrt x)))
16.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series396.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(sqrt (sqrt x))
138.0ms	(sqrt (sqrt x))
79.0ms	(* y (sqrt (sqrt x)))
45.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify1.9s

Counts

100 → 100

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	132	915
1	340	716
2	1028	650
3	3316	634
done	5000	631

prune194.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 117

Calls

4 calls:

3.0ms	(pow (/ 1 x) -1/4)
1.0ms	(sqrt (sqrt x))
6.0ms	(* y (sqrt (sqrt x)))
22.0ms	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))

series489.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(pow (/ 1 x) -1/4)
142.0ms	(sqrt (sqrt x))
84.0ms	(* y (sqrt (sqrt x)))
88.0ms	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))

simplify807.0ms

Counts

129 → 129

Iterations

Useful iterations: done (804.0ms)

Iter	Nodes	Cost
0	242	1447
1	626	1229
2	1751	1148
done	5001	1146

prune276.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.3b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8)))
0.5b	(* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

335×	`add-exp-log`
220×	`prod-exp`
144×	`pow-exp`
100×	`add-sqr-sqrt`
86×	`unpow-prod-down`
72×	`div-exp`
56×	`times-frac`
54×	`*-un-lft-identity`
42×	`add-cube-cbrt`
36×	`pow-to-exp` `rec-exp` `1-exp`
28×	`unswap-sqr`
27×	`associate-r`
22×	`sqrt-prod`
21×	`associate-l`
20×	`add-cbrt-cube`
19×	`swap-sqr`
14×	`sqr-pow`
13×	`pow1`
10×	`cbrt-unprod`
6×	`div-inv`
5×	`pow-prod-down`
4×	`sqrt-pow1` `add-log-exp`
3×	`*-commutative`
2×	`rem-sqrt-square` `pow1/2`
1×	`pow2` `pow-sqr` `pow-prod-up`

Counts

4 → 262

Calls

4 calls:

1.0ms	(sqrt (sqrt x))
6.0ms	(* y (sqrt (sqrt x)))
35.0ms	(* (* y (sqrt (sqrt x))) (* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8)))
32.0ms	(* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8))

series476.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(sqrt (sqrt x))
79.0ms	(* y (sqrt (sqrt x)))
84.0ms	(* (* y (sqrt (sqrt x))) (* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8)))
178.0ms	(* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8))

simplify783.0ms

Counts

274 → 274

Iterations

Useful iterations: done (775.0ms)

Iter	Nodes	Cost
0	367	4799
1	899	3011
2	2224	2851
done	5000	2774

prune368.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes74.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample622.0ms

Algorithm

intervals

Results

188.0ms	8562×	body	80	valid
176.0ms	8597×	body	80	nan
0.0ms	1×	body	160	valid