Details

sample29.0ms

Algorithm

intervals

Results

7.0ms	276×	body	80	valid
7.0ms	273×	body	80	nan

simplify62.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	21	10
2	45	10
3	65	10
4	91	10
5	110	10
6	122	10
done	122	10

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	(+ x (* y (sqrt z)))
0.3b	(* y (sqrt z))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
6×	`associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`unswap-sqr`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 33

Calls

2 calls:

2.0ms	(+ x (* y (sqrt z)))
4.0ms	(* y (sqrt z))

series72.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ x (* y (sqrt z)))
41.0ms	(* y (sqrt z))

simplify1.9s

Counts

39 → 39

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	86	362
1	220	323
2	690	297
3	3047	288
done	5000	285

prune93.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.1b	(sqrt (sqrt z))
0.3b	(* y (sqrt (sqrt z)))
0.4b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite31.0ms

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 z))
1.0ms	(sqrt (sqrt z))
6.0ms	(* y (sqrt (sqrt z)))
19.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series403.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(sqrt (sqrt z))
139.0ms	(sqrt (sqrt z))
81.0ms	(* y (sqrt (sqrt z)))
42.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify631.0ms

Counts

100 → 100

Iterations

Useful iterations: done (628.0ms)

Iter	Nodes	Cost
0	132	915
1	340	716
2	1197	650
done	5000	634

prune236.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (/ 1 z) -1/4)
0.1b	(sqrt (sqrt z))
0.3b	(* y (sqrt (sqrt z)))
0.4b	(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -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:

4.0ms	(pow (/ 1 z) -1/4)
1.0ms	(sqrt (sqrt z))
6.0ms	(* y (sqrt (sqrt z)))
22.0ms	(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -1/4))

series486.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(pow (/ 1 z) -1/4)
143.0ms	(sqrt (sqrt z))
81.0ms	(* y (sqrt (sqrt z)))
85.0ms	(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -1/4))

simplify796.0ms

Counts

129 → 129

Iterations

Useful iterations: done (792.0ms)

Iter	Nodes	Cost
0	242	1447
1	626	1229
2	2123	1148
done	5000	1146

prune325.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.3b	(* y (sqrt (sqrt z)))
0.4b	(* (* y (sqrt (sqrt z))) (* (pow (sqrt (/ 1 z)) -1/4) (pow (sqrt (/ 1 z)) -1/4)))
0.5b	(* (pow (sqrt (/ 1 z)) -1/4) (pow (sqrt (/ 1 z)) -1/4))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

130×	`add-sqr-sqrt`
120×	`unpow-prod-down`
116×	`sqrt-prod`
74×	`add-exp-log`
60×	`*-un-lft-identity` `times-frac`
58×	`prod-exp`
46×	`add-cube-cbrt`
39×	`unswap-sqr`
30×	`associate-r`
24×	`swap-sqr` `associate-l`
20×	`add-cbrt-cube`
18×	`pow-to-exp` `pow-exp`
16×	`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 → 203

Calls

4 calls:

1.0ms	(sqrt (sqrt z))
7.0ms	(* y (sqrt (sqrt z)))
45.0ms	(* (* y (sqrt (sqrt z))) (* (pow (sqrt (/ 1 z)) -1/4) (pow (sqrt (/ 1 z)) -1/4)))
40.0ms	(* (pow (sqrt (/ 1 z)) -1/4) (pow (sqrt (/ 1 z)) -1/4))

series630.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(sqrt (sqrt z))
80.0ms	(* y (sqrt (sqrt z)))
274.0ms	(* (* y (sqrt (sqrt z))) (* (pow (sqrt (/ 1 z)) -1/4) (pow (sqrt (/ 1 z)) -1/4)))
141.0ms	(* (pow (sqrt (/ 1 z)) -1/4) (pow (sqrt (/ 1 z)) -1/4))

simplify911.0ms

Counts

215 → 215

Iterations

Useful iterations: done (904.0ms)

Iter	Nodes	Cost
0	311	4242
1	676	2833
2	2267	2633
done	5000	2629

prune484.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes223.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	13	10
done	13	10

end0.0ms

sample803.0ms

Algorithm

intervals

Results

241.0ms	8543×	body	80	valid
216.0ms	8479×	body	80	nan