Details

Time bar (total: 18.1s)

sample32.0ms

Algorithm
intervals
Results
15.0ms256×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: 8.8b

localize26.0ms

Local error

Found 1 expressions with local error:

8.8b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite43.0ms

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:
41.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series82.0ms

Counts
1 → 3
Calls
1 calls:
82.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify3.7s

Counts
55 → 55
Iterations

Useful iterations: 4 (1.9s)

IterNodesCost
097855
1209831
2558795
31461795
44342794
done5000794

prune234.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 6.9b

localize23.0ms

Local error

Found 2 expressions with local error:

1.0b
(/ 1 (- 1.0 (/ y z)))
7.6b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite146.0ms

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:
25.0ms
(/ 1 (- 1.0 (/ y z)))
112.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series151.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(/ 1 (- 1.0 (/ y z)))
91.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify3.4s

Counts
107 → 107
Iterations

Useful iterations: 2 (236.0ms)

IterNodesCost
01471404
13451179
29981081
329561081
done50001081

prune353.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 6.9b

localize18.0ms

Local error

Found 4 expressions with local error:

2.5b
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
9.1b
(cbrt (- 1.0 (/ y z)))
9.1b
(cbrt (- 1.0 (/ y z)))
9.1b
(cbrt (- 1.0 (/ y z)))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×*-un-lft-identity
18×cbrt-prod cbrt-div
9×add-exp-log add-cube-cbrt flip3-- flip--
8×associate-/r/
7×times-frac add-cbrt-cube
6×difference-of-squares
4×pow1 expm1-log1p-u frac-times log1p-expm1-u associate-/l* add-log-exp
3×pow1/3 distribute-lft-out--
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/ distribute-lft-out
1×frac-2neg flip3-+ prod-exp clear-num associate-/r* cbrt-unprod flip-+ div-inv
Counts
4 → 89
Calls
4 calls:
99.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
19.0ms
(cbrt (- 1.0 (/ y z)))
15.0ms
(cbrt (- 1.0 (/ y z)))
10.0ms
(cbrt (- 1.0 (/ y z)))

series1.8s

Counts
4 → 12
Calls
4 calls:
397.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
476.0ms
(cbrt (- 1.0 (/ y z)))
466.0ms
(cbrt (- 1.0 (/ y z)))
504.0ms
(cbrt (- 1.0 (/ y z)))

simplify2.2s

Counts
101 → 101
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01501613
13481520
28621397
323141364
done50011325

prune544.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 6.9b

localize27.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ 1 (- 1.0 (/ y z)))
1.0b
(/ 1 (- 1.0 (/ y z)))
7.3b
(sqrt (/ 1 (- 1.0 (/ y z))))
7.3b
(sqrt (/ 1 (- 1.0 (/ y z))))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
124×add-sqr-sqrt
90×times-frac
76×*-un-lft-identity
48×sqrt-prod
46×add-cube-cbrt
28×difference-of-squares
14×distribute-lft-out--
12×add-exp-log associate-/r*
10×pow1
8×associate-/r/ add-cbrt-cube
6×rem-sqrt-square sqrt-pow1 associate-/l*
4×expm1-log1p-u flip3-- pow-flip div-exp flip-- log1p-expm1-u div-inv inv-pow add-log-exp
2×cbrt-undiv rec-exp frac-2neg pow1/2 sqrt-div 1-exp clear-num
Counts
4 → 176
Calls
4 calls:
35.0ms
(/ 1 (- 1.0 (/ y z)))
43.0ms
(/ 1 (- 1.0 (/ y z)))
29.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))
37.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))

series695.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(/ 1 (- 1.0 (/ y z)))
79.0ms
(/ 1 (- 1.0 (/ y z)))
269.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))
270.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))

simplify2.8s

Counts
188 → 188
Iterations

Useful iterations: 4 (832.0ms)

IterNodesCost
01342424
12212080
23801978
37561978
417511976
done50001976

prune545.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 6.9b

regimes179.0ms

Accuracy

62.4% (0.7b remaining)

Error of 6.7b against oracle of 6.0b and baseline of 7.8b

bsearch3.0ms

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02263
12755
done2755

end0.0ms

sample760.0ms

Algorithm
intervals
Results
508.0ms7999×body80valid
0.0ms1×body1280valid