Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

365×

body

valid

simplify49.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 2.0 (+ (* x x) (* x y)))
0.0b	(+ (* x x) (* x y))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

40.0ms	(* 2.0 (+ (* x x) (* x y)))
14.0ms	(+ (* x x) (* x y))

series117.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(* 2.0 (+ (* x x) (* x y)))
56.0ms	(+ (* x x) (* x y))

simplify651.0ms

Counts: 41 → 41

prune93.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ x y))
0.4b	(* (* x (+ x y)) (sqrt 2.0))
0.4b	(* (sqrt 2.0) (* (* x (+ x y)) (sqrt 2.0)))

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

27.0ms	(* x (+ x y))
47.0ms	(* (* x (+ x y)) (sqrt 2.0))
125.0ms	(* (sqrt 2.0) (* (* x (+ x y)) (sqrt 2.0)))

series315.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(* x (+ x y))
104.0ms	(* (* x (+ x y)) (sqrt 2.0))
170.0ms	(* (sqrt 2.0) (* (* x (+ x y)) (sqrt 2.0)))

simplify817.0ms

Counts: 81 → 81

prune184.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (sqrt 2.0) (* (* x (+ x y)) (sqrt 2.0)))) (cbrt (* (sqrt 2.0) (* (* x (+ x y)) (sqrt 2.0)))))
8.7b	(cbrt (* (sqrt 2.0) (* (* x (+ x y)) (sqrt 2.0))))
8.7b	(cbrt (* (sqrt 2.0) (* (* x (+ x y)) (sqrt 2.0))))
8.7b	(cbrt (* (sqrt 2.0) (* (* x (+ x y)) (sqrt 2.0))))

rewrite560.0ms

Algorithm

rewrite-expression-head

Rules

38×	`associate-*r/`
20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

138.0ms	(* (cbrt (* (sqrt 2.0) (* (* x (+ x y)) (sqrt 2.0)))) (cbrt (* (sqrt 2.0) (* (* x (+ x y)) (sqrt 2.0)))))
132.0ms	(cbrt (* (sqrt 2.0) (* (* x (+ x y)) (sqrt 2.0))))
156.0ms	(cbrt (* (sqrt 2.0) (* (* x (+ x y)) (sqrt 2.0))))
128.0ms	(cbrt (* (sqrt 2.0) (* (* x (+ x y)) (sqrt 2.0))))

series3.2s

Counts

4 → 12

Calls

4 calls:

860.0ms	(* (cbrt (* (sqrt 2.0) (* (* x (+ x y)) (sqrt 2.0)))) (cbrt (* (sqrt 2.0) (* (* x (+ x y)) (sqrt 2.0)))))
796.0ms	(cbrt (* (sqrt 2.0) (* (* x (+ x y)) (sqrt 2.0))))
700.0ms	(cbrt (* (sqrt 2.0) (* (* x (+ x y)) (sqrt 2.0))))
839.0ms	(cbrt (* (sqrt 2.0) (* (* x (+ x y)) (sqrt 2.0))))

simplify1.9s

Counts: 84 → 84

prune371.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes77.0ms

Accuracy

47.4% (0.0b remaining)

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

bsearch0.0ms

simplify52.0ms

end0.0ms

sample1.0s

Algorithm

intervals

Results

577.0ms

11297×

body

valid