Details

Time bar (total: 13.2s)

sample16.0ms

Algorithm
intervals
Results
7.0ms312×body80valid

simplify4.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1167
2217
3327
4357
5417
6457
7537
82287
913907
1041287
done50007

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
11.5b
(/ (* x (+ y z)) z)

rewrite17.0ms

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:
10.0ms
(* x (+ y z))
6.0ms
(/ (* x (+ y z)) z)

series63.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* x (+ y z))
35.0ms
(/ (* x (+ y z)) z)

simplify2.5s

Counts
52 → 52
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
085458
1225434
2881376
34798376
done5000376

prune96.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

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:
5.0ms
(/ z (+ y z))
9.0ms
(/ x (/ z (+ y z)))

series93.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ z (+ y z))
51.0ms
(/ x (/ z (+ y z)))

simplify762.0ms

Counts
129 → 129
Iterations

Useful iterations: done (759.0ms)

IterNodesCost
01871758
14141632
215251564
done50001560

prune248.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize6.0ms

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)

rewrite66.0ms

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:
6.0ms
(/ z (+ y z))
20.0ms
(/ 1 (/ (/ z (+ y z)) x))
15.0ms
(/ (/ z (+ y z)) x)

series151.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ z (+ y z))
43.0ms
(/ 1 (/ (/ z (+ y z)) x))
67.0ms
(/ (/ z (+ y z)) x)

simplify1.7s

Counts
392 → 392
Iterations

Useful iterations: done (1.6s)

IterNodesCost
04927266
112216263
231365535
done50005527

prune536.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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:
8.0ms
(/ (+ y z) z)
15.0ms
(* x (/ (+ y z) z))

series57.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/ (+ y z) z)
39.0ms
(* x (/ (+ y z) z))

simplify1.5s

Counts
74 → 74
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
097719
1233681
2770619
32915619
done5000619

prune127.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes164.0ms

Accuracy

88.5% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.1b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02275
12575
done2575

end0.0ms

sample407.0ms

Algorithm
intervals
Results
213.0ms9600×body80valid