Details

sample24.0ms

Algorithm

intervals

Results

9.0ms

328×

body

valid

simplify1.9s

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* (- y x) 6.0) z))
0.0b	(* (- y x) 6.0)
0.2b	(* (* (- y x) 6.0) z)

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
8×	`*-un-lft-identity`
6×	`add-cube-cbrt` `associate-r` `associate-l` `associate-*l/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 53

Calls

3 calls:

10.0ms	(+ x (* (* (- y x) 6.0) z))
27.0ms	(* (- y x) 6.0)
54.0ms	(* (* (- y x) 6.0) z)

series155.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(+ x (* (* (- y x) 6.0) z))
37.0ms	(* (- y x) 6.0)
62.0ms	(* (* (- y x) 6.0) z)

simplify595.0ms

Counts: 62 → 62

prune158.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (* 6.0 z)))
0.2b	(* (- y x) (* 6.0 z))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*`
4×	`add-log-exp`
3×	`add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 33

Calls

2 calls:

13.0ms	(+ x (* (- y x) (* 6.0 z)))
50.0ms	(* (- y x) (* 6.0 z))

series139.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(+ x (* (- y x) (* 6.0 z)))
67.0ms	(* (- y x) (* 6.0 z))

simplify1.8s

Counts: 39 → 39

prune93.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
0.3b	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
0.5b	(* (- y x) (sqrt 6.0))
0.6b	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

rewrite331.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`add-sqr-sqrt`
15×	`associate-r`
12×	`-un-lft-identity` `associate-l/`
10×	`add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l` `sqrt-prod`
6×	`add-log-exp`
3×	`flip3--` `*-commutative` `flip--`
2×	`unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 83

Calls

4 calls:

11.0ms	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
209.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
36.0ms	(* (- y x) (sqrt 6.0))
69.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

series651.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
203.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
83.0ms	(* (- y x) (sqrt 6.0))
136.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

simplify858.0ms

Counts: 95 → 95

prune276.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 6.0 (- (* z y) (* x z))) x)
0.0b	(- (* z y) (* x z))
0.3b	(* 6.0 (- (* z y) (* x z)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-log-exp`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `*-un-lft-identity` `add-cbrt-cube`
4×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
3×	`associate-r` `associate-l`
2×	`flip3--` `associate-*r/` `flip--`
1×	`+-commutative` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 51

Calls

3 calls:

28.0ms	(+ (* 6.0 (- (* z y) (* x z))) x)
13.0ms	(- (* z y) (* x z))
51.0ms	(* 6.0 (- (* z y) (* x z)))

series213.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(+ (* 6.0 (- (* z y) (* x z))) x)
55.0ms	(- (* z y) (* x z))
91.0ms	(* 6.0 (- (* z y) (* x z)))

simplify2.3s

Counts: 60 → 60

prune146.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes106.0ms

Accuracy

-0.6% (0.2b remaining)

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

bsearch0.0ms

simplify1.7s

end0.0ms

sample1.2s

Algorithm

intervals

Results

414.0ms

10149×

body

valid