Details

sample28.0ms

Algorithm

intervals

Results

14.0ms

425×

body

valid

simplify3.5s

Counts: 1 → 1

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 3 (* y y)) (* x x))
0.2b	(* 3 (* y y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

16.0ms	(+ (* 3 (* y y)) (* x x))
17.0ms	(* 3 (* y y))

series67.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (* 3 (* y y)) (* x x))
27.0ms	(* 3 (* y y))

simplify1.0s

Counts: 36 → 36

prune103.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* 3 y) y) (* x x))
0.2b	(* (* 3 y) y)

rewrite46.0ms

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-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

24.0ms	(+ (* (* 3 y) y) (* x x))
21.0ms	(* (* 3 y) y)

series65.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (* (* 3 y) y) (* x x))
27.0ms	(* (* 3 y) y)

simplify1.5s

Counts: 35 → 35

prune64.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(+ (+ (* x x) (* y y)) (* y y))
0.1b	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

12.0ms	(+ (* x x) (* y y))
45.0ms	(+ (+ (* x x) (* y y)) (* y y))
120.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

series164.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(+ (* x x) (* y y))
56.0ms	(+ (+ (* x x) (* y y)) (* y y))
65.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

simplify2.0s

Counts: 47 → 47

prune148.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
0.3b	(* (cbrt 3) (* y y))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

29×	`pow1` `add-exp-log`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
17×	`add-cbrt-cube`
7×	`add-sqr-sqrt` `associate-l`
5×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`cbrt-prod`
2×	`associate-r` `*-commutative` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 62

Calls

3 calls:

76.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
79.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
37.0ms	(* (cbrt 3) (* y y))

series294.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
122.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
73.0ms	(* (cbrt 3) (* y y))

simplify567.0ms

Counts: 71 → 71

prune116.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes106.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify21.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

806.0ms

14078×

body

valid