Details

Time bar (total: 16.4s)

sample21.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done14
214
111
08

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.0b

localize21.0ms

Local error

Found 1 expressions with local error:

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

rewrite42.0ms

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:
38.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series73.0ms

Counts
1 → 3
Calls
1 calls:
72.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify1.6s

Counts
53 → 53
Iterations
IterNodes
done5001
33322
2695
1209
095

prune270.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.6b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite134.0ms

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:
34.0ms
(/ 1 (- 1.0 (/ y z)))
93.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series146.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(/ 1 (- 1.0 (/ y z)))
69.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify4.3s

Counts
103 → 103
Iterations
IterNodes
done5001
22866
1370
0143

prune432.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 6.6b

localize20.0ms

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))

rewrite110.0ms

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)))
55.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series226.0ms

Counts
2 → 6
Calls
2 calls:
156.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
70.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify1.6s

Counts
201 → 201
Iterations
IterNodes
done5001
23521
1658
0245

prune796.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 6.6b

localize29.0ms

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)))

rewrite326.0ms

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:
287.0ms
(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ x y) (cbrt (- 1.0 (/ y z)))))
13.0ms
(cbrt (- 1.0 (/ y z)))
8.0ms
(cbrt (- 1.0 (/ y z)))
8.0ms
(cbrt (- 1.0 (/ y z)))

series1.2s

Counts
4 → 12
Calls
4 calls:
148.0ms
(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ x y) (cbrt (- 1.0 (/ y z)))))
379.0ms
(cbrt (- 1.0 (/ y z)))
333.0ms
(cbrt (- 1.0 (/ y z)))
353.0ms
(cbrt (- 1.0 (/ y z)))

simplify2.9s

Counts
158 → 158
Iterations
IterNodes
done5001
24520
1707
0220

prune980.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 6.6b

regimes255.0ms

Accuracy

76.9% (0.5b remaining)

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

bsearch1.0ms

simplify6.0ms

Iterations
IterNodes
done31
131
024

end0.0ms

sample804.0ms

Algorithm
intervals
Results
384.0ms8000×body80valid