Details

Time bar (total: 6.5s)

sample300.0ms

Algorithm
intervals
Results
18.0ms350×body80valid

simplify52.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x x) y)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip-- difference-of-squares
Counts
1 → 13
Calls
1 calls:
14.0ms
(- (* x x) y)

series71.0ms

Counts
1 → 3
Calls
1 calls:
71.0ms
(- (* x x) y)

simplify1000.0ms

Counts
16 → 16

prune40.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 2 expressions with local error:

2.2b
(+ (- (* y y)) (pow x 4))
30.0b
(/ (+ (- (* y y)) (pow x 4)) (+ (* x x) y))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
add-log-exp
distribute-lft-out
add-exp-log add-cbrt-cube associate-/l*
flip3-+ associate-/r* flip-+
pow1 neg-sub0 associate-+l- sum-log associate-/r/ associate-/l/
cbrt-undiv +-commutative frac-2neg div-sub div-exp neg-log clear-num div-inv
Counts
2 → 50
Calls
2 calls:
13.0ms
(+ (- (* y y)) (pow x 4))
62.0ms
(/ (+ (- (* y y)) (pow x 4)) (+ (* x x) y))

series191.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(+ (- (* y y)) (pow x 4))
112.0ms
(/ (+ (- (* y y)) (pow x 4)) (+ (* x x) y))

simplify700.0ms

Counts
56 → 56

prune228.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

1.3b
(- (pow (* x x) 3) (pow y 3))
2.0b
(+ (pow x 4) (* (* x x) y))
4.4b
(* (* x x) y)
41.2b
(/ (- (pow (* x x) 3) (pow y 3)) (+ (+ (pow x 4) (* (* x x) y)) (* y y)))

rewrite262.0ms

Algorithm
rewrite-expression-head
Rules
112×add-sqr-sqrt
80×difference-of-squares
63×times-frac
41×*-un-lft-identity
40×unpow-prod-down cube-prod sqr-pow
31×add-cube-cbrt
21×associate-/l*
11×add-exp-log add-cbrt-cube
pow1
add-log-exp
difference-cubes distribute-lft-out--
associate-*r* pow-prod-down prod-exp associate-/r* cbrt-unprod
flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp associate-*l* clear-num sum-log *-commutative div-inv unswap-sqr
Counts
4 → 164
Calls
4 calls:
23.0ms
(- (pow (* x x) 3) (pow y 3))
26.0ms
(+ (pow x 4) (* (* x x) y))
39.0ms
(* (* x x) y)
166.0ms
(/ (- (pow (* x x) 3) (pow y 3)) (+ (+ (pow x 4) (* (* x x) y)) (* y y)))

series296.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(- (pow (* x x) 3) (pow y 3))
60.0ms
(+ (pow x 4) (* (* x x) y))
35.0ms
(* (* x x) y)
127.0ms
(/ (- (pow (* x x) 3) (pow y 3)) (+ (+ (pow x 4) (* (* x x) y)) (* y y)))

simplify1.4s

Counts
176 → 176

prune738.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes127.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify45.0ms

end0.0ms

sample878.0ms

Algorithm
intervals
Results
414.0ms10785×body80valid