Details

Time bar (total: 21.7s)

sample33.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08164
111164
214164
done14164

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.0b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite54.0ms

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×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-exp flip-+ log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 52
Calls
1 calls:
52.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series97.0ms

Counts
1 → 3
Calls
1 calls:
97.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify3.3s

Counts
55 → 55
Iterations

Useful iterations: 2 (183.0ms)

IterNodesCost
09717671
121416829
271216749
3346916749
done500216749

prune314.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.6b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite124.0ms

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×expm1-log1p-u frac-times cbrt-undiv rec-exp flip3-+ flip3-- 1-exp associate-*l/ cbrt-unprod flip-+ log1p-expm1-u 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 → 101
Calls
2 calls:
37.0ms
(/ 1 (- 1.0 (/ y z)))
81.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series193.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(/ 1 (- 1.0 (/ y z)))
118.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify6.2s

Counts
107 → 107
Iterations

Useful iterations: done (6.2s)

IterNodesCost
014729768
137723818
2326322333
done500022212

prune584.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 6.6b

localize25.0ms

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))

rewrite102.0ms

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 clear-num frac-2neg 1-exp log1p-expm1-u add-log-exp associate-/l/
1×flip3-- div-sub pow-flip flip-- inv-pow
Counts
2 → 199
Calls
2 calls:
47.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
43.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series256.0ms

Counts
2 → 6
Calls
2 calls:
186.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
69.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify1.9s

Counts
205 → 205
Iterations

Useful iterations: done (1.9s)

IterNodesCost
024988757
166972814
2304671258
done500169912

prune798.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 6.6b

localize53.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (+ y x) (cbrt (- 1.0 (/ y z)))) (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)))

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
824×times-frac
703×add-sqr-sqrt
625×*-un-lft-identity
516×cbrt-prod
273×add-cube-cbrt
172×difference-of-squares
90×distribute-lft-out
86×distribute-lft-out--
42×associate-/l*
28×cbrt-div
22×associate-/r/
14×flip3-- flip--
11×div-inv
9×associate-/r* add-exp-log
6×add-cbrt-cube
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×clear-num frac-2neg associate-/l/
Counts
4 → 502
Calls
4 calls:
100.0ms
(/ (/ (+ y x) (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z))))
15.0ms
(cbrt (- 1.0 (/ y z)))
15.0ms
(cbrt (- 1.0 (/ y z)))
15.0ms
(cbrt (- 1.0 (/ y z)))

series1.8s

Counts
4 → 12
Calls
4 calls:
333.0ms
(/ (/ (+ y x) (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z))))
544.0ms
(cbrt (- 1.0 (/ y z)))
489.0ms
(cbrt (- 1.0 (/ y z)))
439.0ms
(cbrt (- 1.0 (/ y z)))

simplify2.3s

Counts
514 → 514
Iterations

Useful iterations: done (2.1s)

IterNodesCost
0555399684
11312372700
done5001371669

prune2.4s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 6.6b

regimes384.0ms

Accuracy

76.8% (0.5b remaining)

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

bsearch2.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
024787
131787
done31787

end0.0ms

sample589.0ms

Algorithm
intervals
Results
337.0ms8000×body80valid