Details

sample73.0ms

Algorithm

intervals

Results

18.0ms	274×	body	80	valid
17.0ms	275×	body	80	nan

simplify192.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	21	10
2	47	10
3	71	10
4	103	10
5	120	10
6	133	10
7	143	10
done	143	10

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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:

6.0ms	(+ x (* y (sqrt z)))
15.0ms	(* y (sqrt z))

series104.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ x (* y (sqrt z)))
53.0ms	(* y (sqrt z))

simplify4.3s

Counts

39 → 39

Iterations

Useful iterations: 4 (2.1s)

Iter	Nodes	Cost
0	86	362
1	220	323
2	552	297
3	1330	288
4	3985	283
done	5000	283

prune171.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite85.0ms

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:

2.0ms	(sqrt (sqrt z))
2.0ms	(sqrt (sqrt z))
26.0ms	(* y (sqrt (sqrt z)))
52.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series542.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(sqrt (sqrt z))
197.0ms	(sqrt (sqrt z))
130.0ms	(* y (sqrt (sqrt z)))
47.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify3.1s

Counts

100 → 100

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	132	915
1	339	716
2	963	650
3	2584	634
done	5000	618

prune347.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
0.1b	(sqrt (sqrt z))
0.3b	(* y (pow z 1/4))
0.3b	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-sqr-sqrt` `sqrt-prod`
16×	`associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
10×	`prod-exp`
8×	`pow1`
6×	`add-log-exp`
4×	`unpow-prod-down` `sqrt-pow1` `associate-l` `cbrt-unprod`
3×	`unswap-sqr`
2×	`pow-to-exp` `rem-sqrt-square` `pow1/2` `pow-exp` `*-commutative` `sqr-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `sum-log` `flip-+`

Counts

4 → 80

Calls

4 calls:

14.0ms	(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
5.0ms	(sqrt (sqrt z))
17.0ms	(* y (pow z 1/4))
38.0ms	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

series500.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
210.0ms	(sqrt (sqrt z))
79.0ms	(* y (pow z 1/4))
113.0ms	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

simplify1.5s

Counts

92 → 92

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	183	1085
1	480	951
2	1501	875
done	5000	831

prune387.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite250.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-prod`
35×	`add-exp-log`
31×	`associate-r`
24×	`add-sqr-sqrt`
22×	`prod-exp`
20×	`add-cbrt-cube`
17×	`add-cube-cbrt` `*-un-lft-identity`
13×	`pow1`
10×	`cbrt-unprod`
5×	`associate-l`
4×	`unpow-prod-down` `sqrt-pow1` `pow-prod-down` `add-log-exp`
3×	`pow-to-exp` `pow-exp` `*-commutative` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2` `sqr-pow`

Counts

4 → 103

Calls

4 calls:

2.0ms	(sqrt (sqrt z))
23.0ms	(* y (pow z 1/4))
153.0ms	(* (* (* y (pow z 1/4)) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
65.0ms	(* (* y (pow z 1/4)) (sqrt (sqrt (sqrt z))))

series500.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(sqrt (sqrt z))
66.0ms	(* y (pow z 1/4))
99.0ms	(* (* (* y (pow z 1/4)) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
144.0ms	(* (* y (pow z 1/4)) (sqrt (sqrt (sqrt z))))

simplify1.6s

Counts

115 → 115

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	210	1579
1	546	1263
2	1760	1132
done	5000	1083

prune439.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes350.0ms

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	10	10
1	13	10
done	13	10

end0.0ms

sample1.6s

Algorithm

intervals

Results

499.0ms	8508×	body	80	valid
415.0ms	8199×	body	80	nan