Details

Time bar (total: 15.4s)

sample66.0ms

Algorithm
intervals
Results
33.0ms418×body80valid

simplify4.4s

Counts
1 → 1
Iterations

Useful iterations: 7 (813.0ms)

IterNodesCost
01115
12215
25515
310015
418115
533015
671515
7155513
8452913
done500013

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.5b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (/ (- (* z z) (* x x)) y))
0.7b
(- (* z z) (* x x))
11.3b
(/ (- (* z z) (* x x)) y)

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
14×*-un-lft-identity
13×times-frac
12×add-cube-cbrt
7×add-log-exp difference-of-squares
5×add-exp-log add-cbrt-cube
4×associate-/l*
3×pow1 flip3-- associate-/r* flip--
2×sub-neg diff-log div-sub associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv distribute-lft-out-- associate--r-
Counts
3 → 63
Calls
3 calls:
33.0ms
(- y (/ (- (* z z) (* x x)) y))
9.0ms
(- (* z z) (* x x))
26.0ms
(/ (- (* z z) (* x x)) y)

series172.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(- y (/ (- (* z z) (* x x)) y))
44.0ms
(- (* z z) (* x x))
66.0ms
(/ (- (* z z) (* x x)) y)

simplify1.8s

Counts
72 → 72
Iterations

Useful iterations: 3 (725.0ms)

IterNodesCost
01151074
12811017
2806945
33327939
done5000939

prune277.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (/ (+ z x) (/ y (- z x))))
0.0b
(/ y (- z x))
0.2b
(/ (+ z x) (/ y (- z x)))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
177×times-frac
164×*-un-lft-identity
127×add-sqr-sqrt
80×add-cube-cbrt
26×associate-/r*
22×distribute-lft-out difference-of-squares
20×distribute-lft-out--
13×associate-/r/
10×add-exp-log add-cbrt-cube
7×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num associate-/l/
1×sub-neg flip3-+ diff-log flip-+
Counts
3 → 179
Calls
3 calls:
77.0ms
(- y (/ (+ z x) (/ y (- z x))))
12.0ms
(/ y (- z x))
34.0ms
(/ (+ z x) (/ y (- z x)))

series150.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(- y (/ (+ z x) (/ y (- z x))))
42.0ms
(/ y (- z x))
59.0ms
(/ (+ z x) (/ y (- z x)))

simplify1.6s

Counts
188 → 188
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02543223
15663010
220592910
done50002883

prune509.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
4×associate-*l*
3×associate-/r*
2×cbrt-undiv frac-times flip3-- flip3-+ div-exp associate-*l/ prod-exp flip-- cbrt-unprod flip-+ div-inv associate-/l/ unswap-sqr
1×sub-neg frac-2neg diff-log div-sub associate-*r/ pow-prod-down clear-num *-commutative distribute-lft-out
Counts
3 → 93
Calls
3 calls:
10.0ms
(- y (* (+ z x) (/ (- z x) y)))
17.0ms
(/ (- z x) y)
51.0ms
(* (+ z x) (/ (- z x) y))

series203.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(- y (* (+ z x) (/ (- z x) y)))
46.0ms
(/ (- z x) y)
92.0ms
(* (+ z x) (/ (- z x) y))

simplify1.1s

Counts
102 → 102
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01501274
13751191
214941111
done50021108

prune301.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ y (/ (- x z) (/ y (+ z x))))
0.0b
(/ y (+ z x))
0.2b
(/ (- x z) (/ y (+ z x)))

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
174×times-frac
163×*-un-lft-identity
117×add-sqr-sqrt
79×add-cube-cbrt
23×distribute-lft-out
22×associate-/r*
19×distribute-lft-out-- difference-of-squares
15×associate-/r/
10×add-exp-log add-cbrt-cube
8×flip3-+ flip-+ div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg div-sub clear-num associate-/l/
1×+-commutative associate-+r- flip3-- sum-log flip--
Counts
3 → 177
Calls
3 calls:
94.0ms
(+ y (/ (- x z) (/ y (+ z x))))
20.0ms
(/ y (+ z x))
48.0ms
(/ (- x z) (/ y (+ z x)))

series158.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(+ y (/ (- x z) (/ y (+ z x))))
28.0ms
(/ y (+ z x))
71.0ms
(/ (- x z) (/ y (+ z x)))

simplify1.4s

Counts
186 → 186
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02553206
16902995
223852901
done50022880

prune548.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11213
done1213

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.4s13572×body80valid