Details

Time bar (total: 9.6s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1119
2149
done149

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (/ y z))
6.7b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite29.0ms

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:
6.0ms
(- 1.0 (/ y z))
21.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series67.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(- 1.0 (/ y z))
50.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify2.1s

Counts
71 → 71
Iterations

Useful iterations: 4 (1.0s)

IterNodesCost
01041002
1221974
2557928
31603928
44693927
done5000927

prune148.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.3b
(/ 1 (- 1.0 (/ y z)))
6.3b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite61.0ms

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:
6.0ms
(- 1.0 (/ y z))
14.0ms
(/ 1 (- 1.0 (/ y z)))
37.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series113.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(- 1.0 (/ y z))
47.0ms
(/ 1 (- 1.0 (/ y z)))
49.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify1.9s

Counts
121 → 121
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01521531
13611306
210201198
331621198
done50011197

prune207.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 5.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.3b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
6.7b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite63.0ms

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:
6.0ms
(- 1.0 (/ y z))
21.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
21.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series180.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(- 1.0 (/ y z))
123.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
42.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify2.0s

Counts
219 → 219
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02544188
16153692
215783375
344903331
done50003329

prune272.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 5.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (/ y z) (/ y z))
5.4b
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
11.6b
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
73×times-frac
71×*-un-lft-identity
68×add-sqr-sqrt
51×add-cube-cbrt
35×associate-*l*
22×add-exp-log add-cbrt-cube
17×associate-*r*
13×swap-sqr
12×pow1
10×distribute-lft-out
9×difference-of-squares
6×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
4×associate-/r* associate-/r/ associate-/l*
3×frac-times flip3-+ associate-*r/ flip-+ add-log-exp
2×flip3-- pow-prod-down associate-*l/ *-commutative flip-- associate-/l/
1×pow2 distribute-rgt-in frac-2neg distribute-lft-in pow-plus clear-num pow-sqr pow-prod-up
Counts
3 → 155
Calls
3 calls:
13.0ms
(* (/ y z) (/ y z))
11.0ms
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
46.0ms
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

series181.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(* (/ y z) (/ y z))
65.0ms
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
91.0ms
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

simplify1.2s

Counts
164 → 164
Iterations

Useful iterations: 2 (419.0ms)

IterNodesCost
02443083
18212913
234462609
done50002609

prune334.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 5.6b

regimes114.0ms

Accuracy

0% (1.7b remaining)

Error of 7.4b against oracle of 5.7b and baseline of 7.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
199
done99

end0.0ms

sample368.0ms

Algorithm
intervals
Results
201.0ms8000×body80valid