Details

Time bar (total: 19.3s)

sample26.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08164
111164
214164
done14164

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.0b

localize14.0ms

Local error

Found 1 expressions with local error:

9.0b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite44.0ms

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:
40.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series75.0ms

Counts
1 → 3
Calls
1 calls:
74.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify2.0s

Counts
53 → 53
Iterations

Useful iterations: 2 (131.0ms)

IterNodesCost
09517183
120916366
269516286
3332216286
done500116286

prune270.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.6b

localize25.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ 1 (- 1.0 (/ y z)))
8.2b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite112.0ms

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:
26.0ms
(/ 1 (- 1.0 (/ y z)))
79.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series175.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(/ 1 (- 1.0 (/ y z)))
97.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify5.2s

Counts
103 → 103
Iterations

Useful iterations: done (5.2s)

IterNodesCost
014328790
137023029
2286621391
done500121311

prune590.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 6.6b

localize26.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
9.0b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite91.0ms

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:
44.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
37.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series275.0ms

Counts
2 → 6
Calls
2 calls:
212.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
63.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify2.4s

Counts
201 → 201
Iterations

Useful iterations: done (2.3s)

IterNodesCost
024587699
165871856
2352171450
done500170268

prune754.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 6.6b

localize51.0ms

Local error

Found 4 expressions with local error:

2.4b
(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ x y) (cbrt (- 1.0 (/ y z)))))
9.3b
(cbrt (- 1.0 (/ y z)))
9.3b
(cbrt (- 1.0 (/ y z)))
9.3b
(cbrt (- 1.0 (/ y z)))

rewrite364.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt
62×*-un-lft-identity
58×times-frac
49×add-exp-log
45×cbrt-prod
42×associate-*r*
27×add-cube-cbrt
20×cbrt-div prod-exp
18×add-cbrt-cube
15×div-exp associate-*l*
14×difference-of-squares
10×flip3-- associate-/r/ flip--
9×distribute-lft-out unswap-sqr
8×cbrt-unprod
7×cbrt-undiv distribute-lft-out--
6×pow1
5×frac-times
4×rec-exp 1-exp add-log-exp
3×pow1/3 associate-*l/ associate-*r/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 146
Calls
4 calls:
330.0ms
(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ x y) (cbrt (- 1.0 (/ y z)))))
7.0ms
(cbrt (- 1.0 (/ y z)))
7.0ms
(cbrt (- 1.0 (/ y z)))
7.0ms
(cbrt (- 1.0 (/ y z)))

series1.3s

Counts
4 → 12
Calls
4 calls:
193.0ms
(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ x y) (cbrt (- 1.0 (/ y z)))))
399.0ms
(cbrt (- 1.0 (/ y z)))
349.0ms
(cbrt (- 1.0 (/ y z)))
384.0ms
(cbrt (- 1.0 (/ y z)))

simplify3.6s

Counts
158 → 158
Iterations

Useful iterations: done (3.5s)

IterNodesCost
022071205
170765147
2452061388
done500161228

prune963.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 6.6b

regimes383.0ms

Accuracy

76.9% (0.5b remaining)

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

bsearch2.0ms

simplify16.0ms

Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
024787
131787
done31787

end0.0ms

sample646.0ms

Algorithm
intervals
Results
418.0ms8000×body80valid