Details

Time bar (total: 3.8s)

sample17.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0114
1144
2144
done144

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize8.0ms

Local error

Found 1 expressions with local error:

6.4b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite41.0ms

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-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 52
Calls
1 calls:
38.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series64.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify66.0ms

Counts
55 → 55
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0208432
1632414
21909414
35002414
done5002414

prune135.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
6.5b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite97.0ms

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×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 199
Calls
2 calls:
38.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
47.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series209.0ms

Counts
2 → 6
Calls
2 calls:
154.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
55.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify69.0ms

Counts
205 → 205
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05972063
126631879
250011714
done50011714

prune276.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 4.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ x y))
0.2b
(/ 1 (- 1.0 (/ y z)))
6.4b
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

rewrite138.0ms

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
5×pow1
3×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
2×pow-flip inv-pow
1×associate-/l/
Counts
3 → 594
Calls
3 calls:
11.0ms
(/ 1 (+ x y))
20.0ms
(/ 1 (- 1.0 (/ y z)))
56.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

series219.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ 1 (+ x y))
47.0ms
(/ 1 (- 1.0 (/ y z)))
137.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

simplify117.0ms

Counts
603 → 603
Iterations

Useful iterations: 1 (45.0ms)

IterNodesCost
021458408
150017500
done50017500

prune896.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 4.5b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (/ y z) (/ y z))
4.7b
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
11.7b
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
73×times-frac
71×*-un-lft-identity
68×add-sqr-sqrt
51×add-cube-cbrt
35×associate-*l*
22×add-exp-log add-cbrt-cube
17×associate-*r*
13×swap-sqr
12×pow1
10×distribute-lft-out
9×difference-of-squares
6×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
4×associate-/r* associate-/r/ associate-/l*
3×expm1-log1p-u frac-times flip3-+ associate-*r/ flip-+ log1p-expm1-u add-log-exp
2×flip3-- pow-prod-down associate-*l/ *-commutative flip-- associate-/l/
1×pow2 distribute-rgt-in frac-2neg distribute-lft-in pow-plus clear-num pow-sqr pow-prod-up
Counts
3 → 161
Calls
3 calls:
22.0ms
(* (/ y z) (/ y z))
28.0ms
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
82.0ms
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

series213.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(* (/ y z) (/ y z))
75.0ms
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
109.0ms
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

simplify130.0ms

Counts
170 → 170
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
08421519
146101374
250011374
done50011374

prune405.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 4.5b

regimes145.0ms

Accuracy

74.1% (0.5b remaining)

Error of 6.3b against oracle of 5.8b and baseline of 7.8b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03226
13226
done3226

end0.0ms

sample395.0ms

Algorithm
intervals
Results
179.0ms7998×body80valid
0.0ms1×body2560valid
0.0ms1×body640valid