Details

sample84.0ms

Algorithm

intervals

Results

20.0ms	299×	body	80	nan
20.0ms	274×	body	80	valid

simplify416.0ms

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize88.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (sqrt z)))
0.3b	(* y (sqrt z))

rewrite56.0ms

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:

15.0ms	(+ x (* y (sqrt z)))
39.0ms	(* y (sqrt z))

series136.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(+ x (* y (sqrt z)))
77.0ms	(* y (sqrt z))

simplify3.7s

Counts

41 → 41

Iterations

Iter	Nodes
done	5000
3	1944
2	680
1	230
0	88

prune521.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize123.0ms

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)))

rewrite156.0ms

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:

10.0ms	(sqrt (sqrt z))
10.0ms	(sqrt (sqrt z))
38.0ms	(* y (sqrt (sqrt z)))
88.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series704.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(sqrt (sqrt z))
257.0ms	(sqrt (sqrt z))
133.0ms	(* y (sqrt (sqrt z)))
88.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify2.7s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	1181
1	354
0	135

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize121.0ms

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))

rewrite245.0ms

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:

25.0ms	(pow (/ 1 z) -1/4)
10.0ms	(sqrt (sqrt z))
54.0ms	(* y (sqrt (sqrt z)))
139.0ms	(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -1/4))

series902.0ms

Counts

4 → 12

Calls

4 calls:

355.0ms	(pow (/ 1 z) -1/4)
242.0ms	(sqrt (sqrt z))
126.0ms	(* y (sqrt (sqrt z)))
179.0ms	(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -1/4))

simplify4.0s

Counts

133 → 133

Iterations

Iter	Nodes
done	5001
2	2237
1	702
0	247

prune1.6s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize163.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.3b	(* y (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt z))) (pow (/ 1 z) (/ -1/4 2)))
0.3b	(* (* (* y (sqrt (sqrt z))) (pow (/ 1 z) (/ -1/4 2))) (pow (/ 1 z) (/ -1/4 2)))

rewrite552.0ms

Algorithm

rewrite-expression-head

Rules

300×	`add-exp-log`
205×	`prod-exp`
108×	`pow-exp`
54×	`div-exp`
43×	`associate-r`
34×	`add-sqr-sqrt`
27×	`pow-to-exp` `rec-exp` `1-exp`
26×	`unpow-prod-down` `*-un-lft-identity` `add-cube-cbrt`
22×	`sqrt-prod`
20×	`add-cbrt-cube`
18×	`times-frac`
10×	`cbrt-unprod`
8×	`pow1`
5×	`associate-l`
4×	`sqrt-pow1` `insert-posit16` `add-log-exp`
3×	`*-commutative` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2` `div-inv` `sqr-pow`
1×	`pow-prod-down`

Counts

4 → 196

Calls

4 calls:

10.0ms	(sqrt (sqrt z))
35.0ms	(* y (sqrt (sqrt z)))
114.0ms	(* (* y (sqrt (sqrt z))) (pow (/ 1 z) (/ -1/4 2)))
348.0ms	(* (* (* y (sqrt (sqrt z))) (pow (/ 1 z) (/ -1/4 2))) (pow (/ 1 z) (/ -1/4 2)))

series718.0ms

Counts

4 → 12

Calls

4 calls:

247.0ms	(sqrt (sqrt z))
138.0ms	(* y (sqrt (sqrt z)))
181.0ms	(* (* y (sqrt (sqrt z))) (pow (/ 1 z) (/ -1/4 2)))
151.0ms	(* (* (* y (sqrt (sqrt z))) (pow (/ 1 z) (/ -1/4 2))) (pow (/ 1 z) (/ -1/4 2)))

simplify5.9s

Counts

208 → 208

Iterations

Iter	Nodes
done	5001
2	2921
1	874
0	328

prune1.6s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes2.0s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample2.3s

Algorithm

intervals

Results

717.0ms	8550×	body	80	valid
643.0ms	8556×	body	80	nan