Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

343×

body

valid

simplify617.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (- z x)))
0.0b	(* y (- z x))
11.8b	(/ (+ x (* y (- z x))) z)

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

8.0ms	(+ x (* y (- z x)))
24.0ms	(* y (- z x))
34.0ms	(/ (+ x (* y (- z x))) z)

series121.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ x (* y (- z x)))
37.0ms	(* y (- z x))
50.0ms	(/ (+ x (* y (- z x))) z)

simplify1.9s

Counts: 79 → 79

prune154.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 5.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x z) y)
0.0b	(- (+ (/ x z) y) (/ (* x y) z))
8.2b	(/ (* x y) z)

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

18.0ms	(+ (/ x z) y)
127.0ms	(- (+ (/ x z) y) (/ (* x y) z))
15.0ms	(/ (* x y) z)

series100.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+ (/ x z) y)
51.0ms	(- (+ (/ x z) y) (/ (* x y) z))
25.0ms	(/ (* x y) z)

simplify494.0ms

Counts: 61 → 61

prune145.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x z) y)
0.0b	(- (+ (/ x z) y) (* (/ x z) y))
3.6b	(* (/ x z) y)

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

27.0ms	(+ (/ x z) y)
157.0ms	(- (+ (/ x z) y) (* (/ x z) y))
25.0ms	(* (/ x z) y)

series97.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ (/ x z) y)
38.0ms	(- (+ (/ x z) y) (* (/ x z) y))
36.0ms	(* (/ x z) y)

simplify564.0ms

Counts: 69 → 69

prune214.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

3.6b	(* (/ x z) y)
9.9b	(cbrt (* (/ x z) y))
9.9b	(cbrt (* (/ x z) y))
9.9b	(cbrt (* (/ x z) y))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-l`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`associate-*l/` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`

Counts

4 → 62

Calls

4 calls:

19.0ms	(* (/ x z) y)
6.0ms	(cbrt (* (/ x z) y))
7.0ms	(cbrt (* (/ x z) y))
7.0ms	(cbrt (* (/ x z) y))

series339.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (/ x z) y)
104.0ms	(cbrt (* (/ x z) y))
100.0ms	(cbrt (* (/ x z) y))
98.0ms	(cbrt (* (/ x z) y))

simplify1.0s

Counts: 74 → 74

prune259.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes112.0ms

Accuracy

-7746.9% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.7s

end0.0ms

sample1.4s

Algorithm

intervals

Results

482.0ms

10110×

body

valid