Details

sample28.0ms

Algorithm

intervals

Results

13.0ms

300×

body

valid

simplify36.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y 1.0))
0.0b	(- (* x (- y 1.0)) (* y 0.5))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

22.0ms	(* x (- y 1.0))
15.0ms	(- (* x (- y 1.0)) (* y 0.5))

series71.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* x (- y 1.0))
38.0ms	(- (* x (- y 1.0)) (* y 0.5))

simplify46.0ms

Counts: 48 → 48

prune82.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* x (- (pow y 3) (pow 1.0 3))) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))) (* y 0.5))
0.0b	(+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))
2.6b	(* x (- (pow y 3) (pow 1.0 3)))
15.1b	(/ (* x (- (pow y 3) (pow 1.0 3))) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0))))

rewrite427.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
25×	`associate-r`
18×	`*-un-lft-identity`
16×	`difference-of-squares`
12×	`unpow-prod-down` `cube-prod`
11×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
8×	`add-cube-cbrt` `sqr-pow`
6×	`pow1`
5×	`distribute-lft-out--`
4×	`associate-*r/`
3×	`sub-neg` `flip3--` `times-frac` `associate-l` `associate-/r*` `sum-log` `flip--`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`difference-cubes` `+-commutative` `associate-+r+` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

184.0ms	(- (/ (* x (- (pow y 3) (pow 1.0 3))) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))) (* y 0.5))
32.0ms	(+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))
127.0ms	(* x (- (pow y 3) (pow 1.0 3)))
77.0ms	(/ (* x (- (pow y 3) (pow 1.0 3))) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0))))

series459.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(- (/ (* x (- (pow y 3) (pow 1.0 3))) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))) (* y 0.5))
27.0ms	(+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))
114.0ms	(* x (- (pow y 3) (pow 1.0 3)))
194.0ms	(/ (* x (- (pow y 3) (pow 1.0 3))) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0))))

simplify51.0ms

Counts: 108 → 108

prune349.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

4.7b	(/ (- (pow y 3) (pow 1.0 3)) (sqrt (+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))))
9.9b	(sqrt (+ (* y y) (+ (* 1.0 1.0) (* y 1.0))))
9.9b	(sqrt (+ (* y y) (+ (* 1.0 1.0) (* y 1.0))))
11.6b	(* (/ x (sqrt (+ (* y y) (+ (* 1.0 1.0) (* y 1.0))))) (/ (- (pow y 3) (pow 1.0 3)) (sqrt (+ (* y y) (+ (* 1.0 1.0) (* y 1.0))))))

rewrite515.0ms

Algorithm

rewrite-expression-head

Rules

479×	`add-sqr-sqrt`
330×	`times-frac`
265×	`*-un-lft-identity`
208×	`difference-of-squares`
174×	`sqrt-prod`
156×	`unpow-prod-down` `cube-prod` `associate-r`
135×	`add-cube-cbrt`
104×	`sqr-pow`
65×	`distribute-lft-out--`
25×	`associate-/l*`
24×	`associate-l`
18×	`add-exp-log` `add-cbrt-cube`
13×	`difference-cubes`
10×	`sqrt-div`
9×	`unswap-sqr`
8×	`pow1`
6×	`associate-/r*` `associate-/r/`
5×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`div-inv`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/l/`
1×	`frac-times` `flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `flip--`

Counts

4 → 437

Calls

4 calls:

109.0ms	(/ (- (pow y 3) (pow 1.0 3)) (sqrt (+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))))
34.0ms	(sqrt (+ (* y y) (+ (* 1.0 1.0) (* y 1.0))))
26.0ms	(sqrt (+ (* y y) (+ (* 1.0 1.0) (* y 1.0))))
302.0ms	(* (/ x (sqrt (+ (* y y) (+ (* 1.0 1.0) (* y 1.0))))) (/ (- (pow y 3) (pow 1.0 3)) (sqrt (+ (* y y) (+ (* 1.0 1.0) (* y 1.0))))))

series483.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(/ (- (pow y 3) (pow 1.0 3)) (sqrt (+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))))
71.0ms	(sqrt (+ (* y y) (+ (* 1.0 1.0) (* y 1.0))))
66.0ms	(sqrt (+ (* y y) (+ (* 1.0 1.0) (* y 1.0))))
214.0ms	(* (/ x (sqrt (+ (* y y) (+ (* 1.0 1.0) (* y 1.0))))) (/ (- (pow y 3) (pow 1.0 3)) (sqrt (+ (* y y) (+ (* 1.0 1.0) (* y 1.0))))))

simplify116.0ms

Counts: 449 → 449

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes59.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify36.0ms

end0.0ms

sample725.0ms

Algorithm

intervals

Results

439.0ms	9136×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid