Details

Time bar (total: 5.8s)

sample41.0ms

Algorithm
intervals
Results
20.0ms448×body80valid

simplify563.0ms

Counts
1 → 1
Iterations

Useful iterations: 7 (218.0ms)

IterNodesCost
01115
12215
25415
39715
417015
531015
662415
7153613
done500113

prune19.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

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:
7.0ms
(/ (- z x) y)
3.0ms
(- y (* (+ x z) (/ (- z x) y)))
13.0ms
(* (+ x z) (/ (- z x) y))

series32.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ (- z x) y)
13.0ms
(- y (* (+ x z) (/ (- z x) y)))
13.0ms
(* (+ x z) (/ (- z x) y))

simplify597.0ms

Counts
102 → 102
Iterations

Useful iterations: done (594.0ms)

IterNodesCost
01531274
13901205
216691123
done50001117

prune139.0ms

Filtered
72 candidates to 102 candidates (-41.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New957102
Fresh101
Picked011
Done000
Total968104

Merged error: 0.0b

Counts
104 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (- z x))
0.0b
(- y (* (+ x z) (/ 1 (/ y (- z x)))))
0.2b
(* (+ x z) (/ 1 (/ y (- z x))))
0.6b
(/ 1 (/ y (- z x)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
186×add-sqr-sqrt
176×*-un-lft-identity
122×add-cube-cbrt
68×associate-*r*
36×add-exp-log
26×associate-/r*
25×distribute-lft-out-- difference-of-squares
20×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
7×pow1 cbrt-undiv prod-exp
6×associate-/l* add-log-exp
5×unswap-sqr
4×rec-exp 1-exp associate-*l*
3×cbrt-unprod
2×frac-times frac-2neg flip3-+ associate-*l/ clear-num flip-+
1×sub-neg pow-flip diff-log associate-*r/ pow-prod-down un-div-inv *-commutative distribute-lft-out inv-pow
Counts
4 → 259
Calls
4 calls:
7.0ms
(/ y (- z x))
3.0ms
(- y (* (+ x z) (/ 1 (/ y (- z x)))))
27.0ms
(* (+ x z) (/ 1 (/ y (- z x))))
10.0ms
(/ 1 (/ y (- z x)))

series41.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(/ y (- z x))
13.0ms
(- y (* (+ x z) (/ 1 (/ y (- z x)))))
12.0ms
(* (+ x z) (/ 1 (/ y (- z x))))
8.0ms
(/ 1 (/ y (- z x)))

simplify802.0ms

Counts
271 → 271
Iterations

Useful iterations: done (795.0ms)

IterNodesCost
03324021
18303472
232413091
done50002934

prune239.0ms

Filtered
163 candidates to 271 candidates (-66.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2701271
Fresh066
Picked101
Done011
Total2718279

Merged error: 0b

Counts
279 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- z x))
0.0b
(- y (/ (+ x z) (/ y (- z x))))
0.3b
(/ (+ x z) (/ y (- z x)))

rewrite65.0ms

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:
6.0ms
(/ y (- z x))
35.0ms
(- y (/ (+ x z) (/ y (- z x))))
13.0ms
(/ (+ x z) (/ y (- z x)))

series32.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(/ y (- z x))
13.0ms
(- y (/ (+ x z) (/ y (- z x))))
12.0ms
(/ (+ x z) (/ y (- z x)))

simplify563.0ms

Counts
188 → 188
Iterations

Useful iterations: done (557.0ms)

IterNodesCost
02573223
16013052
223492920
done50012906

prune166.0ms

Filtered
125 candidates to 188 candidates (-50.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1862188
Fresh246
Picked101
Done101
Total1906196

Merged error: 0b

Counts
196 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
895×times-frac
606×*-un-lft-identity
487×add-sqr-sqrt
352×add-cube-cbrt
70×distribute-lft-out
62×difference-of-squares
56×distribute-lft-out--
42×div-inv
37×associate-/r/
32×add-exp-log
29×associate-/r*
23×associate-/l*
20×add-cbrt-cube
19×flip3-- div-exp flip--
10×cbrt-undiv
6×add-log-exp
5×pow1
3×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×sub-neg pow-flip flip3-+ diff-log flip-+ inv-pow
Counts
4 → 491
Calls
4 calls:
7.0ms
(/ (+ x z) y)
92.0ms
(- y (/ (/ (+ x z) y) (/ 1 (- z x))))
7.0ms
(/ 1 (- z x))
26.0ms
(/ (/ (+ x z) y) (/ 1 (- z x)))

series36.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ (+ x z) y)
13.0ms
(- y (/ (/ (+ x z) y) (/ 1 (- z x))))
5.0ms
(/ 1 (- z x))
12.0ms
(/ (/ (+ x z) y) (/ 1 (- z x)))

simplify477.0ms

Counts
503 → 503
Iterations

Useful iterations: done (447.0ms)

IterNodesCost
062311801
1180010460
done50019795

prune313.0ms

Filtered
231 candidates to 503 candidates (-117.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New5030503
Fresh055
Picked011
Done000
Total5036509

Merged error: 0b

Counts
509 → 6

regimes167.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01215
11515
done1515

end0.0ms

sample1.2s

Algorithm
intervals
Results
650.0ms13862×body80valid

Profiling

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