Details

Time bar (total: 11.2s)

sample39.0ms

Algorithm
intervals
Results
25.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Iterations
IterNodes
done14
214
111
08

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize21.0ms

Local error

Found 1 expressions with local error:

7.6b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite25.0ms

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-+ insert-posit16 div-inv flip-- add-log-exp
Counts
1 → 51
Calls
1 calls:
24.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series64.0ms

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

simplify1.4s

Counts
54 → 54
Iterations
IterNodes
done5001
31639
2572
1210
096

prune200.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 6.1b

localize27.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 1 (- 1.0 (/ y z)))
7.1b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite65.0ms

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-+ insert-posit16 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 → 99
Calls
2 calls:
13.0ms
(/ 1 (- 1.0 (/ y z)))
49.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series129.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ 1 (- 1.0 (/ y z)))
74.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify1.8s

Counts
105 → 105
Iterations
IterNodes
done5002
33212
21075
1369
0145

prune340.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 6.1b

localize27.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.7b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite51.0ms

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 insert-posit16 add-log-exp associate-/l/
1×flip3-- div-sub pow-flip flip-- inv-pow
Counts
2 → 197
Calls
2 calls:
25.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
19.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series248.0ms

Counts
2 → 6
Calls
2 calls:
196.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
52.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify1.5s

Counts
203 → 203
Iterations
IterNodes
done5000
21722
1653
0247

prune560.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 6.1b

localize33.0ms

Local error

Found 4 expressions with local error:

1.8b
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
7.9b
(cbrt (- 1.0 (/ y z)))
7.9b
(cbrt (- 1.0 (/ y z)))
7.9b
(cbrt (- 1.0 (/ y z)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×*-un-lft-identity
18×cbrt-prod cbrt-div
9×flip3-- add-exp-log add-cube-cbrt flip--
8×associate-/r/
7×times-frac add-cbrt-cube
6×difference-of-squares
4×frac-times pow1 insert-posit16 associate-/l* add-log-exp
3×pow1/3 distribute-lft-out--
2×cbrt-undiv div-exp associate-*l/ associate-*r/ distribute-lft-out associate-/l/
1×clear-num associate-/r* frac-2neg flip3-+ prod-exp cbrt-unprod flip-+ div-inv
Counts
4 → 85
Calls
4 calls:
46.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
6.0ms
(cbrt (- 1.0 (/ y z)))
7.0ms
(cbrt (- 1.0 (/ y z)))
7.0ms
(cbrt (- 1.0 (/ y z)))

series1.4s

Counts
4 → 12
Calls
4 calls:
214.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
351.0ms
(cbrt (- 1.0 (/ y z)))
406.0ms
(cbrt (- 1.0 (/ y z)))
424.0ms
(cbrt (- 1.0 (/ y z)))

simplify1.6s

Counts
97 → 97
Iterations
IterNodes
done5001
32250
2804
1334
0148

prune485.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 6.1b

regimes268.0ms

Accuracy

72.8% (0.5b remaining)

Error of 6.1b against oracle of 5.6b and baseline of 7.6b

bsearch2.0ms

simplify10.0ms

Iterations
IterNodes
done32
132
024

end0.0ms

sample776.0ms

Algorithm
intervals
Results
586.0ms7999×body80valid
0.0ms1×body1280valid