Details

sample51.0ms

Algorithm

intervals

Results

15.0ms	271×	body	80	valid
15.0ms	278×	body	80	nan

simplify157.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	119
8	119
7	117
6	113
5	102
4	86
3	66
2	47
1	21
0	10

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (sqrt z)))
0.2b	(* y (sqrt z))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
6×	`associate-r`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `sqrt-prod` `add-log-exp`
3×	`associate-l`
2×	`insert-posit16` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 35

Calls

2 calls:

9.0ms	(+ x (* y (sqrt z)))
14.0ms	(* y (sqrt z))

series126.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(+ x (* y (sqrt z)))
73.0ms	(* y (sqrt z))

simplify2.1s

Counts

41 → 41

Iterations

Iter	Nodes
done	5001
3	2032
2	690
1	229
0	88

prune208.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

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)))

rewrite40.0ms

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×	`rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 92

Calls

4 calls:

1.0ms	(sqrt (sqrt z))
1.0ms	(sqrt (sqrt z))
9.0ms	(* y (sqrt (sqrt z)))
28.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series434.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(sqrt (sqrt z))
142.0ms	(sqrt (sqrt z))
80.0ms	(* y (sqrt (sqrt z)))
46.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify2.6s

Counts

104 → 104

Iterations

Iter	Nodes
done	5004
3	4986
2	1174
1	355
0	135

prune392.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(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))

rewrite46.0ms

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×	`sqrt-pow1` `associate-l` `cbrt-unprod` `insert-posit16` `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 → 121

Calls

4 calls:

4.0ms	(pow (/ 1 z) -1/4)
1.0ms	(sqrt (sqrt z))
9.0ms	(* y (sqrt (sqrt z)))
30.0ms	(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -1/4))

series634.0ms

Counts

4 → 12

Calls

4 calls:

253.0ms	(pow (/ 1 z) -1/4)
164.0ms	(sqrt (sqrt z))
113.0ms	(* y (sqrt (sqrt z)))
105.0ms	(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -1/4))

simplify1.3s

Counts

133 → 133

Iterations

Iter	Nodes
done	5001
2	2237
1	700
0	247

prune648.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

304×	`add-exp-log`
205×	`prod-exp`
108×	`pow-exp`
61×	`associate-r`
57×	`add-sqr-sqrt`
56×	`div-exp`
54×	`times-frac`
51×	`*-un-lft-identity` `add-cube-cbrt`
44×	`unpow-prod-down`
42×	`sqrt-prod`
28×	`rec-exp` `1-exp`
27×	`pow-to-exp`
22×	`add-cbrt-cube`
10×	`cbrt-unprod`
8×	`pow1`
6×	`associate-/r*`
5×	`associate-l`
4×	`insert-posit16` `add-log-exp`
3×	`-commutative` `div-inv` `pow-flip` `associate-/l` `unswap-sqr`
2×	`sqr-pow`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `pow-prod-down` `inv-pow`

Counts

4 → 240

Calls

4 calls:

7.0ms	(/ 1 (sqrt z))
14.0ms	(* y (sqrt (sqrt z)))
45.0ms	(* (* y (sqrt (sqrt z))) (pow (/ 1 (sqrt z)) -1/4))
141.0ms	(* (* (* y (sqrt (sqrt z))) (pow (/ 1 (sqrt z)) -1/4)) (pow (/ 1 (sqrt z)) -1/4))

series363.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ 1 (sqrt z))
113.0ms	(* y (sqrt (sqrt z)))
147.0ms	(* (* y (sqrt (sqrt z))) (pow (/ 1 (sqrt z)) -1/4))
59.0ms	(* (* (* y (sqrt (sqrt z))) (pow (/ 1 (sqrt z)) -1/4)) (pow (/ 1 (sqrt z)) -1/4))

simplify1.8s

Counts

252 → 252

Iterations

Iter	Nodes
done	5000
2	2390
1	906
0	347

prune753.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes511.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample1.8s

Algorithm

intervals

Results

874.0ms	8514×	body	80	nan
559.0ms	8512×	body	80	valid