Details

sample32.0ms

Algorithm

intervals

Results

16.0ms

338×

body

valid

simplify30.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 0.253 (* x 0.12))
0.1b	(* x (+ 0.253 (* x 0.12)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

6.0ms	(+ 0.253 (* x 0.12))
16.0ms	(* x (+ 0.253 (* x 0.12)))

series133.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ 0.253 (* x 0.12))
93.0ms	(* x (+ 0.253 (* x 0.12)))

simplify49.0ms

Counts: 39 → 39

prune109.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 0.253) (* x (* x 0.12)))
0.2b	(* x (* x 0.12))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

18.0ms	(+ (* x 0.253) (* x (* x 0.12)))
32.0ms	(* x (* x 0.12))

series159.0ms

Counts

2 → 6

Calls

2 calls:

111.0ms	(+ (* x 0.253) (* x (* x 0.12)))
48.0ms	(* x (* x 0.12))

simplify100.0ms

Counts: 36 → 36

prune134.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 0.253) (* (pow x 2) 0.12))
0.2b	(* (pow x 2) 0.12)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 38

Calls

2 calls:

11.0ms	(+ (* x 0.253) (* (pow x 2) 0.12))
14.0ms	(* (pow x 2) 0.12)

series155.0ms

Counts

2 → 6

Calls

2 calls:

107.0ms	(+ (* x 0.253) (* (pow x 2) 0.12))
48.0ms	(* (pow x 2) 0.12)

simplify117.0ms

Counts: 44 → 44

prune136.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.253) (* (* (pow x 2) (sqrt 0.12)) (sqrt 0.12)))
0.2b	(* (pow x 2) (sqrt 0.12))
0.2b	(* (* (pow x 2) (sqrt 0.12)) (sqrt 0.12))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

18.0ms	(+ (* x 0.253) (* (* (pow x 2) (sqrt 0.12)) (sqrt 0.12)))
21.0ms	(* (pow x 2) (sqrt 0.12))
50.0ms	(* (* (pow x 2) (sqrt 0.12)) (sqrt 0.12))

series406.0ms

Counts

3 → 9

Calls

3 calls:

201.0ms	(+ (* x 0.253) (* (* (pow x 2) (sqrt 0.12)) (sqrt 0.12)))
81.0ms	(* (pow x 2) (sqrt 0.12))
124.0ms	(* (* (pow x 2) (sqrt 0.12)) (sqrt 0.12))

simplify51.0ms

Counts: 76 → 76

prune223.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes23.0ms

Accuracy

0.6% (0.1b remaining)

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

bsearch0.0ms

simplify18.0ms

end0.0ms

sample791.0ms

Algorithm

intervals

Results

535.0ms

10670×

body

valid