Details

Time bar (total: 11.3s)

sample22.0ms

Algorithm
intervals
Results
9.0ms309×body80valid

simplify1.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1167
2227
3337
4387
5447
6487
71147
82547
95877
1013917
1131307
done50017

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
12.4b
(/ (* x (+ y z)) z)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt
4×pow1 associate-*r/ associate-*r*
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 46
Calls
2 calls:
21.0ms
(* x (+ y z))
33.0ms
(/ (* x (+ y z)) z)

series96.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(* x (+ y z))
50.0ms
(/ (* x (+ y z)) z)

simplify1.0s

Counts
52 → 52
Iterations

Useful iterations: done (1.0s)

IterNodesCost
085458
1244434
21285382
done5000376

prune139.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
3.1b
(/ x (/ z (+ y z)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
94×*-un-lft-identity
62×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
16×distribute-lft-out
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 123
Calls
2 calls:
20.0ms
(/ z (+ y z))
27.0ms
(/ x (/ z (+ y z)))

series102.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ z (+ y z))
57.0ms
(/ x (/ z (+ y z)))

simplify809.0ms

Counts
129 → 129
Iterations

Useful iterations: 2 (213.0ms)

IterNodesCost
01871758
14811648
223731564
done50001564

prune282.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ z (+ y z))
0.2b
(/ 1 (/ (/ z (+ y z)) x))
3.0b
(/ (/ z (+ y z)) x)

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
648×times-frac
398×*-un-lft-identity
294×add-sqr-sqrt add-cube-cbrt
65×associate-/r*
52×distribute-lft-out
35×associate-/r/
31×add-exp-log
24×associate-/l*
23×div-inv
19×div-exp add-cbrt-cube
17×flip3-+ flip-+
10×cbrt-undiv
4×pow1
3×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 383
Calls
3 calls:
22.0ms
(/ z (+ y z))
40.0ms
(/ 1 (/ (/ z (+ y z)) x))
30.0ms
(/ (/ z (+ y z)) x)

series176.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ z (+ y z))
45.0ms
(/ 1 (/ (/ z (+ y z)) x))
81.0ms
(/ (/ z (+ y z)) x)

simplify1.0s

Counts
392 → 392
Iterations

Useful iterations: done (1.0s)

IterNodesCost
04927266
114626263
done50016021

prune911.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y z) z)
3.2b
(* x (/ (+ y z) z))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
16×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out
4×pow1 associate-/l*
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 68
Calls
2 calls:
26.0ms
(/ (+ y z) z)
41.0ms
(* x (/ (+ y z) z))

series77.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ (+ y z) z)
55.0ms
(* x (/ (+ y z) z))

simplify806.0ms

Counts
74 → 74
Iterations

Useful iterations: 2 (139.0ms)

IterNodesCost
097719
1251689
21057623
done5000623

prune221.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes166.0ms

Accuracy

59.8% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 3.0b

bsearch1.0ms

simplify3.1s

Iterations

Useful iterations: 4 (7.0ms)

IterNodesCost
02075
12669
22963
33557
43856
54456
65756
77356
89556
914856
1020156
1138956
1257756
13130556
14203356
15492156
done500156

end0.0ms

sample952.0ms

Algorithm
intervals
Results
449.0ms9579×body80valid