Details

Time bar (total: 4.2s)

sample25.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify3.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (/ y z))
9.0b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite53.0ms

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-exp-log add-cbrt-cube associate-/l* add-log-exp
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp clear-num flip-+ div-inv
Counts
2 → 65
Calls
2 calls:
10.0ms
(- 1.0 (/ y z))
35.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series74.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(- 1.0 (/ y z))
56.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify48.0ms

Counts
71 → 71

prune150.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.2b
(/ 1 (- 1.0 (/ y z)))
8.8b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite109.0ms

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-- flip-- associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-+ 1-exp associate-*l/ cbrt-unprod flip-+ div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
3 → 112
Calls
3 calls:
11.0ms
(- 1.0 (/ y z))
24.0ms
(/ 1 (- 1.0 (/ y z)))
69.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series122.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(- 1.0 (/ y z))
49.0ms
(/ 1 (- 1.0 (/ y z)))
56.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify40.0ms

Counts
121 → 121

prune213.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 6.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
9.1b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite105.0ms

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
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
3 → 210
Calls
3 calls:
14.0ms
(- 1.0 (/ y z))
36.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
43.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series197.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(- 1.0 (/ y z))
133.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
47.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify61.0ms

Counts
219 → 219

prune280.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 6.6b

localize16.0ms

Local error

Found 4 expressions with local error:

1.4b
(* (+ x y) (* (cbrt (/ 1 (- 1.0 (/ y z)))) (cbrt (/ 1 (- 1.0 (/ y z))))))
9.2b
(cbrt (/ 1 (- 1.0 (/ y z))))
9.2b
(cbrt (/ 1 (- 1.0 (/ y z))))
9.2b
(cbrt (/ 1 (- 1.0 (/ y z))))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt
72×cbrt-prod
63×times-frac
55×*-un-lft-identity
35×add-cube-cbrt
18×difference-of-squares
15×cbrt-div
9×pow1 add-exp-log frac-times distribute-lft-out--
7×add-cbrt-cube
6×associate-*r/ associate-/r/
5×associate-*l/
4×flip3-+ associate-*l* flip-+ add-log-exp
3×flip3-- pow1/3 pow-prod-down prod-exp flip-- cbrt-unprod div-inv
1×associate-*r* *-commutative distribute-lft-out unswap-sqr
Counts
4 → 130
Calls
4 calls:
104.0ms
(* (+ x y) (* (cbrt (/ 1 (- 1.0 (/ y z)))) (cbrt (/ 1 (- 1.0 (/ y z))))))
11.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))
11.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))
16.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))

series1.1s

Counts
4 → 12
Calls
4 calls:
230.0ms
(* (+ x y) (* (cbrt (/ 1 (- 1.0 (/ y z)))) (cbrt (/ 1 (- 1.0 (/ y z))))))
267.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))
290.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))
268.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))

simplify90.0ms

Counts
142 → 142

prune304.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 6.6b

regimes138.0ms

Accuracy

69.8% (0.6b remaining)

Error of 6.3b against oracle of 5.7b and baseline of 7.6b

bsearch1.0ms

simplify1.0ms

end0.0ms

sample914.0ms

Algorithm
intervals
Results
303.0ms8000×body80valid