Details

sample73.0ms

Algorithm

intervals

Results

30.0ms

424×

body

valid

simplify4.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.0b	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

rewrite298.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

17.0ms	(+ (* x y) (* z t))
60.0ms	(+ (+ (* x y) (* z t)) (* a b))
219.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

series475.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ (* x y) (* z t))
107.0ms	(+ (+ (* x y) (* z t)) (* a b))
324.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

simplify51.0ms

Counts: 47 → 47

prune183.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

rewrite985.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

85.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
97.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
79.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
716.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

series759.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
159.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
162.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
270.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

simplify111.0ms

Counts: 99 → 99

prune558.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
0.1b	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.1b	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.2b	(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-log-exp`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `sum-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `associate-+l+` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

146.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
171.0ms	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
139.0ms	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
686.0ms	(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

series11.5s

Counts

4 → 12

Calls

4 calls:

328.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
5.3s	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
5.5s	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
322.0ms	(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

simplify66.0ms

Counts: 113 → 113

prune443.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.2b	(cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.5b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

rewrite381.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`cbrt-div`
6×	`sqrt-prod`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `sqrt-div` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 58

Calls

4 calls:

103.0ms	(cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
70.0ms	(cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
92.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
113.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series684.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
181.0ms	(cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
148.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
194.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify66.0ms

Counts: 70 → 70

prune439.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes892.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.1s

13585×

body

valid