Details

sample47.0ms

Algorithm

intervals

Results

33.0ms

338×

body

valid

simplify121.0ms

Counts: 1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize24.0ms

Local error

Found 3 expressions with local error:

4.6b	(* (/ x y) z)
0.0b	(- (/ (+ x 4) y) (* (/ x y) z))
0.0b	(/ (+ x 4) y)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
22×	`times-frac`
20×	`add-cube-cbrt`
13×	`associate-l`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `add-log-exp`
4×	`distribute-lft-out` `associate-/l*`
3×	`associate-/r` `associate-r` `associate-l/` `insert-posit16`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip-+` `flip--` `sub-div`

Counts

3 → 82

Calls

3 calls:

Slowest

51.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
13.0ms	(/ (+ x 4) y)
9.0ms	(* (/ x y) z)

series146.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

61.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
50.0ms	(/ (+ x 4) y)
35.0ms	(* (/ x y) z)

simplify1.2s

Counts: 91 → 91

prune919.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

4.6b	(* (/ x y) z)
0.0b	(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))
0.0b	(+ (/ x y) (/ 4 y))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`times-frac`
13×	`associate-l` `add-cube-cbrt`
10×	`add-log-exp`
8×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
4×	`associate-*l/` `distribute-lft-out`
3×	`associate-r` `frac-sub` `insert-posit16` `div-inv`
2×	`sum-log` `flip3-+` `diff-log` `frac-add` `prod-exp` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `distribute-rgt-out` `flip3--` `div-exp` `pow-prod-down` `associate--l+` `*-commutative` `flip--`

Counts

3 → 69

Calls

3 calls:

Slowest

82.0ms	(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))
17.0ms	(* (/ x y) z)
16.0ms	(+ (/ x y) (/ 4 y))

series122.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

50.0ms	(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))
37.0ms	(* (/ x y) z)
35.0ms	(+ (/ x y) (/ 4 y))

simplify1.5s

Counts: 78 → 78

prune831.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

2.7b	(/ (- (+ x 4) (* x z)) y)
0.0b	(- (+ x 4) (* x z))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
4×	`add-cbrt-cube` `add-exp-log`
3×	`associate-/r` `associate-/l`
2×	`pow1` `flip3--` `diff-log` `insert-posit16` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sum-log` `sub-neg` `frac-2neg` `div-sub` `div-exp` `associate--l+` `div-inv`

Counts

2 → 46

Calls

2 calls:

Slowest

73.0ms	(/ (- (+ x 4) (* x z)) y)
34.0ms	(- (+ x 4) (* x z))

series80.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

57.0ms	(/ (- (+ x 4) (* x z)) y)
23.0ms	(- (+ x 4) (* x z))

simplify675.0ms

Counts: 52 → 52

prune491.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

5.6b	(* x (/ z y))
0.0b	(- (+ (/ x y) (/ 4 y)) (* x (/ z y)))
0.0b	(+ (/ x y) (/ 4 y))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`times-frac`
13×	`associate-r` `add-cube-cbrt`
10×	`add-log-exp`
8×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
4×	`associate-*r/` `distribute-lft-out`
3×	`associate-l` `frac-sub` `insert-posit16` `div-inv`
2×	`sum-log` `flip3-+` `diff-log` `frac-add` `prod-exp` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `distribute-rgt-out` `flip3--` `div-exp` `pow-prod-down` `associate--l+` `*-commutative` `flip--`

Counts

3 → 69

Calls

3 calls:

Slowest

95.0ms	(- (+ (/ x y) (/ 4 y)) (* x (/ z y)))
20.0ms	(+ (/ x y) (/ 4 y))
12.0ms	(* x (/ z y))

series111.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

47.0ms	(- (+ (/ x y) (/ 4 y)) (* x (/ z y)))
40.0ms	(+ (/ x y) (/ 4 y))
23.0ms	(* x (/ z y))

simplify1.5s

Counts: 78 → 78

prune664.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes155.0ms

Accuracy

82.1% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.7b

bsearch126.0ms

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.4s

10090×

body

valid