Details

Time bar (total: 4.9s)

sample20.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify2.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.4b

localize13.0ms

Local error

Found 1 expressions with local error:

7.4b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
29×times-frac
13×add-cube-cbrt
10×difference-of-squares
distribute-lft-out
associate-/r*
distribute-lft-out--
associate-/l*
add-exp-log add-cbrt-cube
associate-/r/ associate-/l/
pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 50
Calls
1 calls:
47.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series87.0ms

Counts
1 → 3
Calls
1 calls:
86.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify38.0ms

Counts
53 → 53

prune140.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 6.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (- 1.0 (/ y z)))
7.0b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
45×times-frac
41×*-un-lft-identity
24×add-cube-cbrt associate-*r*
15×add-exp-log
14×difference-of-squares
add-cbrt-cube
distribute-lft-out--
associate-/r*
pow1
div-exp associate-*l* prod-exp associate-/r/
associate-/l* unswap-sqr
cbrt-undiv frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ div-inv add-log-exp
pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
2 → 97
Calls
2 calls:
33.0ms
(/ 1 (- 1.0 (/ y z)))
102.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series120.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ 1 (- 1.0 (/ y z)))
71.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify34.0ms

Counts
103 → 103

prune277.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 6.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.4b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
231×times-frac
194×add-sqr-sqrt
193×*-un-lft-identity
89×add-cube-cbrt
42×difference-of-squares
34×associate-/r*
31×distribute-lft-out
21×distribute-lft-out--
15×add-exp-log
11×associate-/r/
add-cbrt-cube associate-/l*
div-exp
div-inv
flip3-+ flip-+
cbrt-undiv
pow1
rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 195
Calls
2 calls:
53.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
47.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series222.0ms

Counts
2 → 6
Calls
2 calls:
140.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
82.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify66.0ms

Counts
201 → 201

prune497.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 6.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ x y))
0.4b
(/ 1 (- 1.0 (/ y z)))
7.1b
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

rewrite226.0ms

Algorithm
rewrite-expression-head
Rules
1165×times-frac
718×add-sqr-sqrt
693×*-un-lft-identity
413×add-cube-cbrt
122×difference-of-squares
93×associate-/r/
79×distribute-lft-out
61×distribute-lft-out--
51×add-exp-log
47×div-inv
36×div-exp
30×associate-/l*
28×associate-/r*
26×flip3-+ flip-+
20×flip3-- flip--
19×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
pow1
frac-2neg clear-num add-log-exp
pow-flip inv-pow
associate-/l/
Counts
3 → 588
Calls
3 calls:
24.0ms
(/ 1 (+ x y))
37.0ms
(/ 1 (- 1.0 (/ y z)))
94.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

series269.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ 1 (+ x y))
72.0ms
(/ 1 (- 1.0 (/ y z)))
155.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

simplify110.0ms

Counts
597 → 597

prune1.5s

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 6.1b

regimes161.0ms

Accuracy

0% (1.8b remaining)

Error of 7.3b against oracle of 5.6b and baseline of 7.3b

bsearch0.0ms

simplify2.0ms

end0.0ms

sample751.0ms

Algorithm
intervals
Results
402.0ms7998×body80valid
0.0msbody2560valid
0.0msbody1280valid