Details

sample20.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify3.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (+ x y) (- x y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

25.0ms

(/ (+ x y) (- x y))

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

(/ (+ x y) (- x y))

simplify41.0ms

Counts: 48 → 48

prune79.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-prod`
54×	`*-un-lft-identity`
46×	`add-sqr-sqrt`
28×	`cbrt-div`
22×	`add-cube-cbrt`
19×	`swap-sqr`
18×	`pow1`
15×	`associate-r` `associate-l`
14×	`pow1/3`
8×	`add-exp-log` `frac-times` `flip3-+` `flip-+` `distribute-lft-out` `unswap-sqr`
6×	`flip3--` `flip--` `distribute-lft-out--`
4×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 137

Calls

4 calls:

4.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))
39.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
37.0ms	(* (cbrt (- x y)) (cbrt (- x y)))

series569.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt (+ x y))
135.0ms	(cbrt (+ x y))
169.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
129.0ms	(* (cbrt (- x y)) (cbrt (- x y)))

simplify46.0ms

Counts: 149 → 149

prune357.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))
0.5b	(* (cbrt (- x y)) (cbrt (- x y)))
0.5b	(cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))
0.6b	(cbrt (cbrt (+ x y)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

64×	`cbrt-prod`
52×	`*-un-lft-identity`
48×	`cbrt-div`
46×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
19×	`swap-sqr`
18×	`pow1`
15×	`associate-r` `associate-l`
14×	`pow1/3`
13×	`flip3-+` `flip-+`
12×	`frac-times`
8×	`add-exp-log` `unswap-sqr`
7×	`distribute-lft-out`
6×	`flip3--` `associate-r/` `associate-l/` `flip--` `distribute-lft-out--`
4×	`pow-prod-down` `pow-sqr` `pow-prod-up` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 143

Calls

4 calls:

38.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
38.0ms	(* (cbrt (- x y)) (cbrt (- x y)))
18.0ms	(cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))
5.0ms	(cbrt (cbrt (+ x y)))

series784.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
132.0ms	(* (cbrt (- x y)) (cbrt (- x y)))
270.0ms	(cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))
214.0ms	(cbrt (cbrt (+ x y)))

simplify63.0ms

Counts: 155 → 155

prune469.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* (cbrt (- x y)) (cbrt (- x y))))
0.5b	(cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))
0.6b	(cbrt (cbrt (+ x y)))
0.6b	(cbrt (cbrt (- x y)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

48×	`cbrt-div`
26×	`cbrt-prod`
12×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
8×	`frac-times` `add-cube-cbrt`
7×	`flip3--` `flip3-+` `flip--` `flip-+`
4×	`pow1` `add-exp-log` `pow1/3` `associate-r/` `associate-l/` `add-cbrt-cube` `add-log-exp`
1×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 69

Calls

4 calls:

19.0ms	(cbrt (* (cbrt (- x y)) (cbrt (- x y))))
13.0ms	(cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))
4.0ms	(cbrt (cbrt (+ x y)))
5.0ms	(cbrt (cbrt (- x y)))

series766.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(cbrt (* (cbrt (- x y)) (cbrt (- x y))))
271.0ms	(cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))
212.0ms	(cbrt (cbrt (+ x y)))
153.0ms	(cbrt (cbrt (- x y)))

simplify81.0ms

Counts: 81 → 81

prune366.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes57.0ms

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

sample704.0ms

Algorithm

intervals

Results

198.0ms

8000×

body

valid