Details

Time bar (total: 12.4s)

sample27.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
2149
done149

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.3b

localize10.0ms

Local error

Found 1 expressions with local error:

9.3b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite61.0ms

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:
58.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series66.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify1.7s

Counts
55 → 55
Iterations

Useful iterations: 3 (520.0ms)

IterNodesCost
097855
1214831
2688797
33092795
done5001795

prune153.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 6.9b

localize15.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
9.3b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite123.0ms

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:
50.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
56.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series211.0ms

Counts
2 → 6
Calls
2 calls:
154.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
57.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify2.0s

Counts
205 → 205
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02494065
16693570
229213422
done50043215

prune277.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 6.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ x y))
0.2b
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
9.4b
(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

rewrite166.0ms

Algorithm
rewrite-expression-head
Rules
51×add-exp-log
40×*-un-lft-identity
35×add-sqr-sqrt
30×times-frac
23×add-cube-cbrt
20×div-exp
19×add-cbrt-cube
18×associate-*r*
16×prod-exp
10×rec-exp 1-exp associate-/r/
9×pow1
7×distribute-lft-out
6×cbrt-undiv associate-*l* associate-/l*
5×associate-/r*
4×frac-times flip3-- associate-*l/ flip-- cbrt-unprod
3×expm1-log1p-u pow-flip log1p-expm1-u div-inv add-log-exp unswap-sqr
2×frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num un-div-inv flip-+ inv-pow difference-of-squares
1×*-commutative distribute-lft-out--
Counts
3 → 135
Calls
3 calls:
17.0ms
(/ 1 (+ x y))
67.0ms
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
75.0ms
(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

series276.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ 1 (+ x y))
170.0ms
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
60.0ms
(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

simplify4.0s

Counts
144 → 144
Iterations

Useful iterations: done (4.0s)

IterNodesCost
01721848
14801513
237821287
done50011275

prune280.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 6.9b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ 1.0 (/ y z)) (+ x y))
0.2b
(/ 1 (- (* 1.0 1.0) (* (/ y z) (/ y z))))
0.2b
(* (/ y z) (/ y z))
22.2b
(* (/ 1 (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (* (+ 1.0 (/ y z)) (+ x y)))

rewrite242.0ms

Algorithm
rewrite-expression-head
Rules
65×add-sqr-sqrt
64×times-frac
55×*-un-lft-identity
51×add-cube-cbrt
44×add-exp-log
35×associate-*l*
32×add-cbrt-cube
21×frac-times
19×pow1
18×flip3-+ associate-*r* flip-+
17×prod-exp
15×associate-*r/
13×swap-sqr
11×cbrt-unprod
10×div-exp
8×associate-*l/
7×cbrt-undiv difference-of-squares
6×div-inv
5×distribute-rgt-in distribute-lft-in pow-prod-down unswap-sqr
4×expm1-log1p-u associate-/r* associate-/r/ log1p-expm1-u add-log-exp
3×rec-exp 1-exp *-commutative associate-/l*
2×flip3-- flip-- distribute-lft-out
1×pow2 pow-flip frac-2neg pow-plus clear-num pow-sqr pow-prod-up inv-pow
Counts
4 → 204
Calls
4 calls:
75.0ms
(* (+ 1.0 (/ y z)) (+ x y))
17.0ms
(/ 1 (- (* 1.0 1.0) (* (/ y z) (/ y z))))
32.0ms
(* (/ y z) (/ y z))
105.0ms
(* (/ 1 (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (* (+ 1.0 (/ y z)) (+ x y)))

series380.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (+ 1.0 (/ y z)) (+ x y))
80.0ms
(/ 1 (- (* 1.0 1.0) (* (/ y z) (/ y z))))
43.0ms
(* (/ y z) (/ y z))
216.0ms
(* (/ 1 (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (* (+ 1.0 (/ y z)) (+ x y)))

simplify600.0ms

Counts
216 → 216
Iterations

Useful iterations: done (591.0ms)

IterNodesCost
03204203
111473907
done50013436

prune707.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 6.9b

regimes191.0ms

Accuracy

66.6% (0.7b remaining)

Error of 6.4b against oracle of 5.7b and baseline of 7.7b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02263
12755
done2755

end0.0ms

sample848.0ms

Algorithm
intervals
Results
366.0ms7999×body80valid
0.0ms1×body320valid