Details

Time bar (total: 27.2s)

sample26.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify137.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (- 2.0 (+ x y)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
40×add-sqr-sqrt
30×times-frac
19×distribute-lft-out--
14×add-cube-cbrt
13×difference-of-squares
6×associate-/r* distribute-lft-out
5×associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv add-log-exp
Counts
1 → 58
Calls
1 calls:
67.0ms
(/ (- x y) (- 2.0 (+ x y)))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify995.0ms

Counts
61 → 61

prune142.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (- 2.0 (+ x y))) (cbrt (- 2.0 (+ x y))))
0.7b
(cbrt (- 2.0 (+ x y)))
0.7b
(cbrt (- 2.0 (+ x y)))
0.7b
(cbrt (- 2.0 (+ x y)))

rewrite221.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
58×cbrt-prod
37×add-sqr-sqrt
22×distribute-lft-out--
18×cbrt-div
15×add-cube-cbrt swap-sqr
11×pow1 distribute-lft-out
9×flip3-- pow1/3 associate-*r* associate-*l* flip--
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 111
Calls
4 calls:
167.0ms
(* (cbrt (- 2.0 (+ x y))) (cbrt (- 2.0 (+ x y))))
14.0ms
(cbrt (- 2.0 (+ x y)))
17.0ms
(cbrt (- 2.0 (+ x y)))
16.0ms
(cbrt (- 2.0 (+ x y)))

series485.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(* (cbrt (- 2.0 (+ x y))) (cbrt (- 2.0 (+ x y))))
115.0ms
(cbrt (- 2.0 (+ x y)))
132.0ms
(cbrt (- 2.0 (+ x y)))
130.0ms
(cbrt (- 2.0 (+ x y)))

simplify1.8s

Counts
123 → 123

prune352.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.1b
(* (/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
26.7b
(/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y))))

rewrite262.0ms

Algorithm
rewrite-expression-head
Rules
66×*-un-lft-identity
54×add-sqr-sqrt
41×times-frac
30×associate-*l*
29×add-cube-cbrt
20×difference-of-squares
12×pow1 add-exp-log add-cbrt-cube
9×associate-*r* distribute-lft-out distribute-lft-out--
8×flip3-+ flip-+
6×frac-times swap-sqr
5×associate-/l*
4×associate-*r/ associate-/r* associate-/r/
3×flip3-- associate-*l/ prod-exp flip-- cbrt-unprod add-log-exp unswap-sqr
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp pow-prod-down *-commutative div-inv associate-/l/
1×pow2 frac-2neg pow-plus div-sub clear-num pow-sqr pow-prod-up
Counts
3 → 139
Calls
3 calls:
53.0ms
(* (+ x y) (+ x y))
163.0ms
(* (/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
37.0ms
(/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y))))

series256.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(* (+ x y) (+ x y))
125.0ms
(* (/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
107.0ms
(/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y))))

simplify1.9s

Counts
148 → 148

prune380.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (sqrt 2.0) (sqrt (+ x y)))
0.0b
(+ (sqrt 2.0) (sqrt (+ x y)))
0.0b
(/ (/ (- x y) (+ (sqrt 2.0) (sqrt (+ x y)))) (- (sqrt 2.0) (sqrt (+ x y))))
0.3b
(/ (- x y) (+ (sqrt 2.0) (sqrt (+ x y))))

rewrite401.0ms

Algorithm
rewrite-expression-head
Rules
1032×*-un-lft-identity
720×times-frac
636×add-sqr-sqrt
552×sqrt-prod
286×distribute-lft-out
225×difference-of-squares
187×distribute-lft-out--
186×add-cube-cbrt
41×associate-/l*
26×associate-/r/
16×associate-/r*
13×flip3-+ flip-+ div-inv
11×add-exp-log add-cbrt-cube
8×add-log-exp
4×pow1 cbrt-undiv div-exp
3×flip3-- div-sub flip-- associate-/l/
2×frac-2neg clear-num
1×+-commutative sub-neg diff-log sum-log
Counts
4 → 515
Calls
4 calls:
36.0ms
(- (sqrt 2.0) (sqrt (+ x y)))
22.0ms
(+ (sqrt 2.0) (sqrt (+ x y)))
155.0ms
(/ (/ (- x y) (+ (sqrt 2.0) (sqrt (+ x y)))) (- (sqrt 2.0) (sqrt (+ x y))))
89.0ms
(/ (- x y) (+ (sqrt 2.0) (sqrt (+ x y))))

series15.9s

Counts
4 → 12
Calls
4 calls:
82.0ms
(- (sqrt 2.0) (sqrt (+ x y)))
77.0ms
(+ (sqrt 2.0) (sqrt (+ x y)))
14.9s
(/ (/ (- x y) (+ (sqrt 2.0) (sqrt (+ x y)))) (- (sqrt 2.0) (sqrt (+ x y))))
853.0ms
(/ (- x y) (+ (sqrt 2.0) (sqrt (+ x y))))

simplify2.0s

Counts
527 → 527

prune1.0s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes80.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify103.0ms

end0.0ms

sample539.0ms

Algorithm
intervals
Results
307.0ms7999×body80valid
0.0ms1×body640valid