Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

286×

body

valid

simplify4.6s

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) y)
0.0b	(- (* (+ x 1.0) y) x)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

35.0ms	(* (+ x 1.0) y)
15.0ms	(- (* (+ x 1.0) y) x)

series66.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* (+ x 1.0) y)
33.0ms	(- (* (+ x 1.0) y) x)

simplify1.0s

Counts: 39 → 39

prune97.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
3.3b	(* (- (* x x) (* 1.0 1.0)) y)
8.0b	(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-/r*` `add-log-exp`
4×	`flip3--` `associate-l` `associate-*l/` `flip--` `difference-of-squares`
3×	`associate-r` `distribute-lft-out--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

74.0ms	(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
42.0ms	(* (- (* x x) (* 1.0 1.0)) y)
45.0ms	(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

series193.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
54.0ms	(* (- (* x x) (* 1.0 1.0)) y)
89.0ms	(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

simplify837.0ms

Counts: 73 → 73

prune204.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (+ x 1.0) y) x)
0.0b	(sqrt (- (* (+ x 1.0) y) x))
0.0b	(sqrt (- (* (+ x 1.0) y) x))
0.2b	(* (sqrt (- (* (+ x 1.0) y) x)) (sqrt (- (* (+ x 1.0) y) x)))

rewrite282.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

24.0ms	(- (* (+ x 1.0) y) x)
34.0ms	(sqrt (- (* (+ x 1.0) y) x))
38.0ms	(sqrt (- (* (+ x 1.0) y) x))
182.0ms	(* (sqrt (- (* (+ x 1.0) y) x)) (sqrt (- (* (+ x 1.0) y) x)))

series453.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (* (+ x 1.0) y) x)
196.0ms	(sqrt (- (* (+ x 1.0) y) x))
202.0ms	(sqrt (- (* (+ x 1.0) y) x))
22.0ms	(* (sqrt (- (* (+ x 1.0) y) x)) (sqrt (- (* (+ x 1.0) y) x)))

simplify680.0ms

Counts: 111 → 111

prune334.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.1s

end0.0ms

sample502.0ms

Algorithm

intervals

Results

211.0ms

9142×

body

valid