Details

Time bar (total: 29.4s)

sample37.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify22.0ms

Counts
1 → 1
Iterations
IterNodes
done14
214
111
08

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.6b

localize66.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (/ y z))
8.6b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
40×*-un-lft-identity
30×times-frac
14×add-cube-cbrt
12×difference-of-squares
7×distribute-lft-out
6×associate-/r* distribute-lft-out--
4×add-cbrt-cube add-exp-log associate-/l* add-log-exp
2×pow1 flip3-- associate-/r/ insert-posit16 flip-- associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-+ diff-log div-exp flip-+ div-inv
Counts
2 → 67
Calls
2 calls:
19.0ms
(- 1.0 (/ y z))
86.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series128.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(- 1.0 (/ y z))
95.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify3.2s

Counts
73 → 73
Iterations
IterNodes
done5000
31784
2591
1228
0106

prune673.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.2b

localize54.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.4b
(/ 1 (- 1.0 (/ y z)))
8.1b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite248.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
46×times-frac
44×*-un-lft-identity
25×add-cube-cbrt
24×associate-*r*
16×add-exp-log difference-of-squares
10×add-cbrt-cube
8×distribute-lft-out--
6×pow1 associate-/r*
5×add-log-exp
4×div-exp associate-*l* prod-exp associate-/r/
3×flip3-- insert-posit16 flip-- associate-/l* unswap-sqr
2×frac-times cbrt-undiv rec-exp flip3-+ 1-exp associate-*l/ cbrt-unprod flip-+ div-inv
1×clear-num sub-neg frac-2neg diff-log pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip distribute-lft-out inv-pow
Counts
3 → 115
Calls
3 calls:
27.0ms
(- 1.0 (/ y z))
50.0ms
(/ 1 (- 1.0 (/ y z)))
156.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series177.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(- 1.0 (/ y z))
56.0ms
(/ 1 (- 1.0 (/ y z)))
99.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify5.6s

Counts
124 → 124
Iterations
IterNodes
done5003
33336
21149
1387
0155

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 5.2b

localize59.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
8.6b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
232×times-frac
200×add-sqr-sqrt
196×*-un-lft-identity
90×add-cube-cbrt
44×difference-of-squares
34×associate-/r*
31×distribute-lft-out
22×distribute-lft-out--
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
9×associate-/l*
8×div-exp
6×div-inv
5×flip3-+ flip-+ add-log-exp
4×pow1 cbrt-undiv
3×insert-posit16
2×rec-exp clear-num frac-2neg flip3-- 1-exp flip-- associate-/l/
1×sub-neg diff-log div-sub pow-flip inv-pow
Counts
3 → 213
Calls
3 calls:
25.0ms
(- 1.0 (/ y z))
61.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
91.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series311.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(- 1.0 (/ y z))
208.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
66.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify4.3s

Counts
222 → 222
Iterations
IterNodes
done5001
22041
1676
0257

prune2.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 5.2b

localize113.0ms

Local error

Found 4 expressions with local error:

2.5b
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
8.8b
(cbrt (- 1.0 (/ y z)))
8.8b
(cbrt (- 1.0 (/ y z)))
8.8b
(cbrt (- 1.0 (/ y z)))

rewrite166.0ms

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:
80.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
18.0ms
(cbrt (- 1.0 (/ y z)))
33.0ms
(cbrt (- 1.0 (/ y z)))
29.0ms
(cbrt (- 1.0 (/ y z)))

series2.5s

Counts
4 → 12
Calls
4 calls:
613.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
678.0ms
(cbrt (- 1.0 (/ y z)))
582.0ms
(cbrt (- 1.0 (/ y z)))
606.0ms
(cbrt (- 1.0 (/ y z)))

simplify4.7s

Counts
97 → 97
Iterations
IterNodes
done5005
32282
2806
1336
0148

prune1.2s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 5.2b

regimes1.0s

Accuracy

71.8% (0.6b remaining)

Error of 6.2b against oracle of 5.6b and baseline of 7.7b

bsearch4.0ms

simplify26.0ms

Iterations
IterNodes
done32
132
025

end0.0ms

sample1.0s

Algorithm
intervals
Results
644.0ms7998×body80valid
1.0ms1×body640valid
0.0ms1×body320valid