Details

sample71.0ms

Algorithm

intervals

Results

18.0ms	266×	body	80	valid
15.0ms	236×	body	80	nan

simplify123.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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:

7.0ms	(+ x (* y (sqrt z)))
10.0ms	(* y (sqrt z))

series139.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(+ x (* y (sqrt z)))
77.0ms	(* y (sqrt z))

simplify2.0s

Counts: 39 → 39

prune181.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.1b	(sqrt (sqrt z))
0.2b	(* y (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite69.0ms

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))
13.0ms	(* y (sqrt (sqrt z)))
50.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series556.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(sqrt (sqrt z))
211.0ms	(sqrt (sqrt z))
95.0ms	(* y (sqrt (sqrt z)))
59.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify698.0ms

Counts: 100 → 100

prune516.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* y (pow z (/ 1 4))) (sqrt (sqrt z))))
0.1b	(sqrt (sqrt z))
0.2b	(* y (pow z (/ 1 4)))
0.3b	(* (* y (pow z (/ 1 4))) (sqrt (sqrt z)))

rewrite115.0ms

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:

12.0ms	(+ x (* (* y (pow z (/ 1 4))) (sqrt (sqrt z))))
4.0ms	(sqrt (sqrt z))
36.0ms	(* y (pow z (/ 1 4)))
58.0ms	(* (* y (pow z (/ 1 4))) (sqrt (sqrt z)))

series436.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ x (* (* y (pow z (/ 1 4))) (sqrt (sqrt z))))
160.0ms	(sqrt (sqrt z))
90.0ms	(* y (pow z (/ 1 4)))
112.0ms	(* (* y (pow z (/ 1 4))) (sqrt (sqrt z)))

simplify819.0ms

Counts: 92 → 92

prune288.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-exp-log`
58×	`prod-exp`
23×	`associate-r`
21×	`add-sqr-sqrt`
20×	`add-cbrt-cube`
19×	`sqrt-prod`
15×	`pow-to-exp` `pow-exp`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`cbrt-unprod`
8×	`pow1`
7×	`unpow-prod-down`
5×	`associate-l`
4×	`sqrt-pow1` `add-log-exp`
3×	`*-commutative` `unswap-sqr` `sqr-pow`
2×	`rem-sqrt-square` `pow1/2`
1×	`pow-prod-down`

Counts

4 → 109

Calls

4 calls:

4.0ms	(sqrt (sqrt z))
23.0ms	(* y (pow z (/ (/ 1 4) 2)))
146.0ms	(* (* (* y (pow z (/ (/ 1 4) 2))) (pow z (/ (/ 1 4) 2))) (sqrt (sqrt z)))
33.0ms	(* (* y (pow z (/ (/ 1 4) 2))) (pow z (/ (/ 1 4) 2)))

series487.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(sqrt (sqrt z))
96.0ms	(* y (pow z (/ (/ 1 4) 2)))
107.0ms	(* (* (* y (pow z (/ (/ 1 4) 2))) (pow z (/ (/ 1 4) 2))) (sqrt (sqrt z)))
107.0ms	(* (* y (pow z (/ (/ 1 4) 2))) (pow z (/ (/ 1 4) 2)))

simplify1.0s

Counts: 121 → 121

prune394.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes657.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify127.0ms

end0.0ms

sample1.9s

Algorithm

intervals

Results

593.0ms	8528×	body	80	valid
518.0ms	8437×	body	80	nan