Details

Time bar (total: 21.0s)

sample33.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
2149
done149

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize9.0ms

Local error

Found 1 expressions with local error:

7.1b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite66.0ms

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:
63.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series88.0ms

Counts
1 → 3
Calls
1 calls:
88.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify2.2s

Counts
55 → 55
Iterations

Useful iterations: 3 (579.0ms)

IterNodesCost
097855
1214831
2688797
33092795
done5001795

prune192.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.5b

localize14.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1 (- 1.0 (/ y z)))
6.7b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
45×times-frac
41×*-un-lft-identity
24×add-cube-cbrt associate-*r*
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×cbrt-undiv expm1-log1p-u frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
2 → 101
Calls
2 calls:
38.0ms
(/ 1 (- 1.0 (/ y z)))
83.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series171.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(/ 1 (- 1.0 (/ y z)))
110.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify7.0s

Counts
107 → 107
Iterations

Useful iterations: 2 (758.0ms)

IterNodesCost
01471404
13771242
231071087
done50011087

prune364.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.5b

localize18.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.2b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite139.0ms

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:
56.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
70.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series285.0ms

Counts
2 → 6
Calls
2 calls:
203.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
82.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify2.4s

Counts
205 → 205
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02494065
16693570
229213422
done50043215

prune438.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 4.5b

localize30.0ms

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)))))
7.4b
(cbrt (- 1.0 (/ y z)))
7.4b
(cbrt (- 1.0 (/ y z)))
7.4b
(cbrt (- 1.0 (/ y z)))

rewrite469.0ms

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×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 154
Calls
4 calls:
420.0ms
(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ x y) (cbrt (- 1.0 (/ y z)))))
10.0ms
(cbrt (- 1.0 (/ y z)))
10.0ms
(cbrt (- 1.0 (/ y z)))
14.0ms
(cbrt (- 1.0 (/ y z)))

series1.8s

Counts
4 → 12
Calls
4 calls:
214.0ms
(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ x y) (cbrt (- 1.0 (/ y z)))))
531.0ms
(cbrt (- 1.0 (/ y z)))
521.0ms
(cbrt (- 1.0 (/ y z)))
516.0ms
(cbrt (- 1.0 (/ y z)))

simplify3.5s

Counts
166 → 166
Iterations

Useful iterations: done (3.5s)

IterNodesCost
02243931
17163695
246203243
done50003228

prune652.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 4.5b

regimes149.0ms

Accuracy

0% (2.0b remaining)

Error of 7.5b against oracle of 5.5b and baseline of 7.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11411
done1411

end0.0ms

sample810.0ms

Algorithm
intervals
Results
431.0ms7999×body80valid
0.0ms1×body640valid