Details

sample58.0ms

Algorithm

intervals

Results

40.0ms

322×

body

valid

simplify131.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize23.0ms

Local error

Found 3 expressions with local error:

3.4b	(* (/ x y) z)
0.0b	(/ (+ x 4) y)
0.0b	(- (/ (+ x 4) y) (* (/ x y) z))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
46×	`times-frac`
41×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
16×	`fma-neg` `prod-diff`
13×	`associate-l`
10×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
5×	`pow1` `add-log-exp`
4×	`div-inv` `associate-/l*`
3×	`expm1-log1p-u` `associate-/r` `associate-r` `associate-l/` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `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 → 120

Calls

3 calls:

Slowest

52.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
26.0ms	(* (/ x y) z)
16.0ms	(/ (+ x 4) y)

series124.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

50.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
46.0ms	(/ (+ x 4) y)
27.0ms	(* (/ x y) z)

simplify1.5s

Counts: 129 → 129

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

3.0b	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))
1.5b	(* (/ x (cbrt y)) z)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-exp-log`
46×	`prod-exp`
35×	`add-cbrt-cube`
30×	`add-sqr-sqrt`
29×	`associate-l`
23×	`times-frac`
22×	`*-un-lft-identity` `add-cube-cbrt`
20×	`div-exp` `cbrt-unprod`
16×	`cbrt-prod`
11×	`pow1`
10×	`cbrt-undiv`
6×	`rec-exp` `1-exp`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `associate-*l/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `*-commutative` `div-inv`
1×	`frac-times` `associate-*r/`

Counts

4 → 127

Calls

4 calls:

Slowest

79.0ms	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))
20.0ms	(* (/ x (cbrt y)) z)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series811.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

279.0ms	(cbrt y)
243.0ms	(cbrt y)
219.0ms	(* (/ x (cbrt y)) z)
71.0ms	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

simplify4.3s

Counts: 139 → 139

prune1.7s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

3.4b	(* (/ x y) z)
0.0b	(+ (/ 4 y) (/ x y))
0.0b	(- (+ (/ 4 y) (/ x y)) (* (/ x y) z))

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
37×	`times-frac`
31×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
13×	`fma-def` `associate-l`
12×	`distribute-lft-out`
10×	`add-log-exp`
8×	`add-cbrt-cube` `fma-neg` `prod-diff` `add-exp-log` `div-inv`
5×	`pow1`
4×	`associate-*l/`
3×	`expm1-log1p-u` `distribute-rgt-out` `associate-r` `frac-sub` `insert-posit16` `log1p-expm1-u`
2×	`sum-log` `flip3-+` `diff-log` `frac-add` `prod-exp` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `div-exp` `pow-prod-down` `associate--l+` `*-commutative` `flip--`

Counts

3 → 104

Calls

3 calls:

Slowest

163.0ms	(- (+ (/ 4 y) (/ x y)) (* (/ x y) z))
23.0ms	(+ (/ 4 y) (/ x y))
20.0ms	(* (/ x y) z)

series155.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

80.0ms	(- (+ (/ 4 y) (/ x y)) (* (/ x y) z))
40.0ms	(+ (/ 4 y) (/ x y))
36.0ms	(* (/ x y) z)

simplify2.7s

Counts: 113 → 113

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

5.4b	(/ (* x z) y)
0.0b	(/ (+ x 4) y)
0.0b	(- (/ (+ x 4) y) (/ (* x z) y))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

168×	`*-un-lft-identity`
160×	`times-frac`
115×	`add-sqr-sqrt`
112×	`prod-diff`
110×	`add-cube-cbrt`
28×	`div-inv` `distribute-lft-out`
16×	`fma-neg`
10×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r*`
5×	`associate-/l*` `add-log-exp`
3×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `difference-of-squares` `associate-/l/`
1×	`sub-neg` `flip3-+` `flip3--` `distribute-rgt-out--` `diff-log` `prod-exp` `frac-sub` `cbrt-unprod` `flip-+` `flip--` `distribute-lft-out--` `sub-div`

Counts

3 → 209

Calls

3 calls:

Slowest

61.0ms	(- (/ (+ x 4) y) (/ (* x z) y))
28.0ms	(/ (+ x 4) y)
16.0ms	(/ (* x z) y)

series133.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

48.0ms	(- (/ (+ x 4) y) (/ (* x z) y))
46.0ms	(/ (+ x 4) y)
38.0ms	(/ (* x z) y)

simplify744.0ms

Counts: 218 → 218

prune2.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes148.0ms

Accuracy

88.3% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.6b

bsearch115.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

10235×

body

valid