Details

sample30.0ms

Algorithm

intervals

Results

12.0ms

322×

body

valid

simplify1.5s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (* (- 1.0 y) z))
0.0b	(* (- 1.0 y) z)
1.9b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
9×	`*-un-lft-identity`
8×	`associate-l`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
6×	`associate-r`
5×	`add-log-exp`
3×	`sub-neg` `flip3--` `flip--`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 58

Calls

3 calls:

9.0ms	(- 1.0 (* (- 1.0 y) z))
48.0ms	(* (- 1.0 y) z)
30.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series172.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- 1.0 (* (- 1.0 y) z))
54.0ms	(* (- 1.0 y) z)
78.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify1.5s

Counts: 67 → 67

prune154.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* x z) (- y 1.0)) (* 1.0 x))
2.6b	(* (* x z) (- y 1.0))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

28.0ms	(+ (* (* x z) (- y 1.0)) (* 1.0 x))
37.0ms	(* (* x z) (- y 1.0))

series125.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(+ (* (* x z) (- y 1.0)) (* 1.0 x))
56.0ms	(* (* x z) (- y 1.0))

simplify542.0ms

Counts: 47 → 47

prune136.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

2.6b	(* (* x z) (- y 1.0))
6.3b	(cbrt (* (* x z) (- y 1.0)))
6.3b	(cbrt (* (* x z) (- y 1.0)))
6.3b	(cbrt (* (* x z) (- y 1.0)))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`cbrt-div`
5×	`add-cube-cbrt` `associate-r`
4×	`flip3--` `flip--` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`associate-l` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 59

Calls

4 calls:

43.0ms	(* (* x z) (- y 1.0))
35.0ms	(cbrt (* (* x z) (- y 1.0)))
31.0ms	(cbrt (* (* x z) (- y 1.0)))
32.0ms	(cbrt (* (* x z) (- y 1.0)))

series741.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (* x z) (- y 1.0))
209.0ms	(cbrt (* (* x z) (- y 1.0)))
228.0ms	(cbrt (* (* x z) (- y 1.0)))
252.0ms	(cbrt (* (* x z) (- y 1.0)))

simplify575.0ms

Counts: 71 → 71

prune302.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

6.1b	(* (* x z) (- (* y y) (* 1.0 1.0)))
6.3b	(cbrt (* (* x z) (- y 1.0)))
6.3b	(cbrt (* (* x z) (- y 1.0)))
12.9b	(cbrt (* (* x z) (- (* y y) (* 1.0 1.0))))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*r/`
6×	`cbrt-div`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`flip3--` `associate-r` `flip--` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`associate-l` `*-commutative` `difference-of-squares`

Counts

4 → 58

Calls

4 calls:

43.0ms	(* (* x z) (- (* y y) (* 1.0 1.0)))
27.0ms	(cbrt (* (* x z) (- y 1.0)))
24.0ms	(cbrt (* (* x z) (- y 1.0)))
24.0ms	(cbrt (* (* x z) (- (* y y) (* 1.0 1.0))))

series730.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* (* x z) (- (* y y) (* 1.0 1.0)))
265.0ms	(cbrt (* (* x z) (- y 1.0)))
234.0ms	(cbrt (* (* x z) (- y 1.0)))
144.0ms	(cbrt (* (* x z) (- (* y y) (* 1.0 1.0))))

simplify838.0ms

Counts: 70 → 70

prune449.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes319.0ms

Accuracy

-115.7% (3.5b remaining)

Error of 3.5b against oracle of 0.0b and baseline of 1.7b

bsearch1.0ms

simplify846.0ms

end0.0ms

sample962.0ms

Algorithm

intervals

Results

438.0ms

10125×

body

valid