Details

sample22.0ms

Algorithm

intervals

Results

11.0ms

331×

body

valid

simplify960.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* x (- (* x 3.0) 4.0)))
0.0b	(- (* x 3.0) 4.0)
0.1b	(* x (- (* x 3.0) 4.0))
0.1b	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

11.0ms	(+ 1.0 (* x (- (* x 3.0) 4.0)))
11.0ms	(- (* x 3.0) 4.0)
40.0ms	(* x (- (* x 3.0) 4.0))
30.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

series207.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ 1.0 (* x (- (* x 3.0) 4.0)))
52.0ms	(- (* x 3.0) 4.0)
78.0ms	(* x (- (* x 3.0) 4.0))
46.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

simplify704.0ms

Counts: 85 → 85

prune192.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 9.0 (pow x 2)) 3.0)
0.0b	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
0.2b	(* 9.0 (pow x 2))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`add-log-exp`
8×	`add-exp-log` `associate-r`
6×	`add-cube-cbrt` `*-un-lft-identity`
5×	`add-cbrt-cube`
4×	`unpow-prod-down` `unswap-sqr`
3×	`pow1` `associate-l` `prod-exp`
2×	`diff-log` `sum-log` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `sub-neg` `flip3--` `flip3-+` `pow-exp` `associate--l+` `*-commutative` `flip--` `cbrt-unprod` `flip-+`

Counts

3 → 52

Calls

3 calls:

15.0ms	(+ (* 9.0 (pow x 2)) 3.0)
70.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
25.0ms	(* 9.0 (pow x 2))

series115.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(+ (* 9.0 (pow x 2)) 3.0)
24.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
26.0ms	(* 9.0 (pow x 2))

simplify2.6s

Counts: 61 → 61

prune122.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (- (* 9.0 x) 12.0)) 3.0)
0.0b	(- (* 9.0 x) 12.0)
0.1b	(* x (- (* 9.0 x) 12.0))

rewrite70.0ms

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:

22.0ms	(+ (* x (- (* 9.0 x) 12.0)) 3.0)
9.0ms	(- (* 9.0 x) 12.0)
36.0ms	(* x (- (* 9.0 x) 12.0))

series200.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(+ (* x (- (* 9.0 x) 12.0)) 3.0)
59.0ms	(- (* 9.0 x) 12.0)
99.0ms	(* x (- (* 9.0 x) 12.0))

simplify1.5s

Counts: 60 → 60

prune149.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))) 3.0)
0.0b	(- (+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))) 3.0) (* 12.0 x))
0.2b	(* (cbrt 9.0) (pow x 2))
0.3b	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2)))

rewrite519.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-exp-log`
21×	`prod-exp`
20×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-log-exp`
9×	`pow1` `associate-r` `cbrt-unprod`
8×	`add-cube-cbrt` `*-un-lft-identity` `unswap-sqr`
7×	`cbrt-prod` `associate-l`
5×	`unpow-prod-down`
3×	`pow-to-exp` `pow-prod-down` `pow-exp` `unpow2` `sqr-pow`
2×	`diff-log` `sum-log` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `associate--l+` `flip--` `flip-+`

Counts

4 → 83

Calls

4 calls:

47.0ms	(+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))) 3.0)
381.0ms	(- (+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))) 3.0) (* 12.0 x))
30.0ms	(* (cbrt 9.0) (pow x 2))
58.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2)))

series367.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))) 3.0)
58.0ms	(- (+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))) 3.0) (* 12.0 x))
53.0ms	(* (cbrt 9.0) (pow x 2))
96.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2)))

simplify767.0ms

Counts: 95 → 95

prune200.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify361.0ms

end0.0ms

sample938.0ms

Algorithm

intervals

Results

672.0ms

10657×

body

valid