Details

sample34.0ms

Algorithm

intervals

Results

23.0ms

338×

body

valid

simplify105.0ms

Counts: 1 → 1

prune13.0ms

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)

rewrite84.0ms

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))
21.0ms	(/ (+ x 4) y)
9.0ms	(* (/ x y) z)

series123.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

65.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
34.0ms	(/ (+ x 4) y)
25.0ms	(* (/ x y) z)

simplify1.5s

Counts: 129 → 129

prune1.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 3 expressions with local error:

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

rewrite143.0ms

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

121.0ms	(- (+ (/ 4 y) (/ x y)) (* (/ x y) z))
11.0ms	(+ (/ 4 y) (/ x y))
9.0ms	(* (/ x y) z)

series137.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

72.0ms	(- (+ (/ 4 y) (/ x y)) (* (/ x y) z))
36.0ms	(* (/ x y) z)
29.0ms	(+ (/ 4 y) (/ x y))

simplify2.2s

Counts: 113 → 113

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
4×	`add-cbrt-cube` `fma-neg` `prod-diff` `add-exp-log`
3×	`associate-/r` `associate-/l`
2×	`expm1-log1p-u` `pow1` `flip3--` `diff-log` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sum-log` `sub-neg` `frac-2neg` `div-sub` `div-exp` `associate--l+` `div-inv`

Counts

2 → 58

Calls

2 calls:

Slowest

50.0ms	(/ (- (+ x 4) (* x z)) y)
33.0ms	(- (+ x 4) (* x z))

series112.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

79.0ms	(/ (- (+ x 4) (* x z)) y)
33.0ms	(- (+ x 4) (* x z))

simplify838.0ms

Counts: 64 → 64

prune510.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
37×	`times-frac`
31×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
13×	`fma-def` `associate-r`
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-*r/`
3×	`expm1-log1p-u` `distribute-rgt-out` `associate-l` `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

128.0ms	(- (+ (/ 4 y) (/ x y)) (* x (/ z y)))
19.0ms	(+ (/ 4 y) (/ x y))
11.0ms	(* x (/ z y))

series119.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

61.0ms	(- (+ (/ 4 y) (/ x y)) (* x (/ z y)))
36.0ms	(+ (/ 4 y) (/ x y))
22.0ms	(* x (/ z y))

simplify2.3s

Counts: 113 → 113

prune1.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes193.0ms

Accuracy

82% (0.3b remaining)

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

bsearch146.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s

10090×

body

valid