Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

318×

body

valid

simplify4.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
4.6b	(* (/ x y) z)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

49.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
25.0ms	(* (/ x y) z)

series72.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
26.0ms	(* (/ x y) z)

simplify79.0ms

Counts: 52 → 52

prune126.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ (+ x 4.0) y) (* x (/ z y)))
4.3b	(* x (/ z y))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

51.0ms	(- (/ (+ x 4.0) y) (* x (/ z y)))
13.0ms	(* x (/ z y))

series67.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(- (/ (+ x 4.0) y) (* x (/ z y)))
21.0ms	(* x (/ z y))

simplify29.0ms

Counts: 52 → 52

prune121.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ x 4.0) (* x z))
2.2b	(/ (- (+ x 4.0) (* x z)) y)

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

38.0ms	(- (+ x 4.0) (* x z))
69.0ms	(/ (- (+ x 4.0) (* x z)) y)

series70.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(- (+ x 4.0) (* x z))
48.0ms	(/ (- (+ x 4.0) (* x z)) y)

simplify75.0ms

Counts: 50 → 50

prune114.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ (+ x 4.0) y) (* (* x z) (/ 1 y)))
5.1b	(* (* x z) (/ 1 y))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
14×	`add-cbrt-cube`
13×	`associate-r`
12×	`prod-exp`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`pow1`
6×	`cbrt-unprod`
4×	`div-exp` `add-log-exp`
3×	`associate-*r/` `pow-prod-down` `un-div-inv`
2×	`cbrt-undiv` `rec-exp` `1-exp` `frac-sub` `div-inv` `sub-div`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `associate-l` `*-commutative` `flip--`

Counts

2 → 55

Calls

2 calls:

74.0ms	(- (/ (+ x 4.0) y) (* (* x z) (/ 1 y)))
23.0ms	(* (* x z) (/ 1 y))

series69.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(- (/ (+ x 4.0) y) (* (* x z) (/ 1 y)))
21.0ms	(* (* x z) (/ 1 y))

simplify38.0ms

Counts: 61 → 61

prune105.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes159.0ms

Accuracy

79.3% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.9b

bsearch2.0ms

simplify1.0ms

end0.0ms

sample844.0ms

Algorithm

intervals

Results

532.0ms

9999×

body

valid