Details

Time bar (total: 13.9s)

sample22.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done14
214
111
08

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize9.0ms

Local error

Found 1 expressions with local error:

7.8b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
29×times-frac
13×add-cube-cbrt
10×difference-of-squares
7×distribute-lft-out
6×associate-/r*
5×distribute-lft-out--
4×associate-/l*
3×add-cbrt-cube add-exp-log
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-exp flip-+ div-inv flip-- add-log-exp
Counts
1 → 50
Calls
1 calls:
27.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify1.7s

Counts
53 → 53
Iterations
IterNodes
done5001
33322
2695
1209
095

prune237.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 6.4b

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (- 1.0 (/ y z)))
7.6b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
45×times-frac
41×*-un-lft-identity
24×associate-*r* add-cube-cbrt
15×add-exp-log
14×difference-of-squares
9×add-cbrt-cube
7×distribute-lft-out--
6×associate-/r*
5×pow1
4×div-exp associate-*l* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×frac-times cbrt-undiv rec-exp flip3-+ flip3-- 1-exp associate-*l/ cbrt-unprod flip-+ div-inv flip-- add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip distribute-lft-out inv-pow
Counts
2 → 97
Calls
2 calls:
17.0ms
(/ 1 (- 1.0 (/ y z)))
52.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series106.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ 1 (- 1.0 (/ y z)))
58.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify4.1s

Counts
103 → 103
Iterations
IterNodes
done5001
22866
1370
0143

prune394.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 6.4b

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.9b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite118.0ms

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/
9×add-cbrt-cube associate-/l*
8×div-exp
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×rec-exp clear-num frac-2neg 1-exp add-log-exp associate-/l/
1×flip3-- div-sub pow-flip flip-- inv-pow
Counts
2 → 195
Calls
2 calls:
48.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
60.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series210.0ms

Counts
2 → 6
Calls
2 calls:
160.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
50.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify1.3s

Counts
201 → 201
Iterations
IterNodes
done5001
23521
1658
0245

prune776.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 6.4b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (/ y z))
0.1b
(/ (/ (+ y x) (- 1.0 (/ y z))) (+ 1.0 (/ y z)))
7.8b
(/ (+ y x) (- 1.0 (/ y z)))
14.8b
(* (/ (/ (+ y x) (- 1.0 (/ y z))) (+ 1.0 (/ y z))) (+ 1.0 (/ y z)))

rewrite290.0ms

Algorithm
rewrite-expression-head
Rules
524×times-frac
508×*-un-lft-identity
392×add-sqr-sqrt
178×add-cube-cbrt
126×associate-*l*
124×distribute-lft-out
82×difference-of-squares
41×distribute-lft-out--
34×associate-/l*
24×associate-/r/
20×add-cbrt-cube add-exp-log
12×div-inv
10×associate-/r* flip3-- flip--
7×cbrt-undiv div-exp
6×pow1 flip3-+ flip-+ add-log-exp
4×associate-*r*
3×prod-exp cbrt-unprod unswap-sqr associate-/l/
2×frac-times clear-num frac-2neg associate-*r/
1×distribute-rgt-in +-commutative sum-log distribute-lft-in pow-prod-down associate-*l/ *-commutative
Counts
4 → 388
Calls
4 calls:
8.0ms
(+ 1.0 (/ y z))
56.0ms
(/ (/ (+ y x) (- 1.0 (/ y z))) (+ 1.0 (/ y z)))
37.0ms
(/ (+ y x) (- 1.0 (/ y z)))
153.0ms
(* (/ (/ (+ y x) (- 1.0 (/ y z))) (+ 1.0 (/ y z))) (+ 1.0 (/ y z)))

series247.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(+ 1.0 (/ y z))
81.0ms
(/ (/ (+ y x) (- 1.0 (/ y z))) (+ 1.0 (/ y z)))
67.0ms
(/ (+ y x) (- 1.0 (/ y z)))
79.0ms
(* (/ (/ (+ y x) (- 1.0 (/ y z))) (+ 1.0 (/ y z))) (+ 1.0 (/ y z)))

simplify1.6s

Counts
400 → 400
Iterations
IterNodes
done5001
11402
0364

prune1.5s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 6.4b

regimes365.0ms

Accuracy

0% (1.9b remaining)

Error of 7.3b against oracle of 5.5b and baseline of 7.3b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done9
19
08

end0.0ms

sample677.0ms

Algorithm
intervals
Results
370.0ms7998×body80valid
0.0ms1×body2560valid
0.0ms1×body1280valid