Details

sample12.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify3.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (+ x y) x)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity` `add-log-exp`
3×	`sum-log` `distribute-lft-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 15

Calls

1 calls:

27.0ms

(+ (+ x y) x)

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(+ (+ x y) x)

simplify96.0ms

Counts: 18 → 18

prune28.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ x y) x))
0.5b	(cbrt (+ (+ x y) x))
0.5b	(cbrt (+ (+ x y) x))
0.5b	(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
6×	`add-exp-log`
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 → 105

Calls

4 calls:

16.0ms	(cbrt (+ (+ x y) x))
17.0ms	(cbrt (+ (+ x y) x))
15.0ms	(cbrt (+ (+ x y) x))
138.0ms	(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))

series908.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(cbrt (+ (+ x y) x))
214.0ms	(cbrt (+ (+ x y) x))
212.0ms	(cbrt (+ (+ x y) x))
259.0ms	(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))

simplify41.0ms

Counts: 117 → 117

prune233.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (+ (+ x y) x)))
0.6b	(cbrt (cbrt (+ (+ x y) x)))
0.6b	(cbrt (cbrt (+ (+ x y) x)))
0.8b	(pow (cbrt (cbrt (+ (+ x y) x))) 4)

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-prod`
34×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`cbrt-div` `distribute-lft-out`
11×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

16.0ms	(cbrt (cbrt (+ (+ x y) x)))
16.0ms	(cbrt (cbrt (+ (+ x y) x)))
19.0ms	(cbrt (cbrt (+ (+ x y) x)))
34.0ms	(pow (cbrt (cbrt (+ (+ x y) x))) 4)

series1.3s

Counts

4 → 12

Calls

4 calls:

288.0ms	(cbrt (cbrt (+ (+ x y) x)))
284.0ms	(cbrt (cbrt (+ (+ x y) x)))
289.0ms	(cbrt (cbrt (+ (+ x y) x)))
454.0ms	(pow (cbrt (cbrt (+ (+ x y) x))) 4)

simplify129.0ms

Counts: 92 → 92

prune256.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite233.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

33.0ms	(sqrt (+ (+ x y) x))
27.0ms	(+ (+ x y) x)
27.0ms	(+ (+ x y) x)
142.0ms	(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

series135.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(sqrt (+ (+ x y) x))
25.0ms	(+ (+ x y) x)
25.0ms	(+ (+ x y) x)
41.0ms	(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

simplify38.0ms

Counts: 128 → 128

prune159.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample354.0ms

Algorithm

intervals

Results

151.0ms

8004×

body

valid