Details

Time bar (total: 8.2s)

sample15.0ms

Algorithm
intervals
Results
6.0ms300×body80valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1167
2227
3337
4367
5427
6467
7547
82557
915487
done50017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
13.4b
(/ (* x (+ y z)) z)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity
add-cube-cbrt
pow1 associate-*r/ associate-*r*
times-frac associate-*l* associate-/r*
cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ add-log-exp
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))
5.0ms
(/ (* x (+ y z)) z)

series61.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* x (+ y z))
34.0ms
(/ (* x (+ y z)) z)

simplify421.0ms

Counts
52 → 52
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
085458
1231434
2981376
done5002376

prune93.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
2.3b
(/ 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/
add-exp-log add-cbrt-cube
div-inv associate-/l*
flip3-+ flip-+
cbrt-undiv div-exp
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)))

series84.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ z (+ y z))
45.0ms
(/ x (/ z (+ y z)))

simplify586.0ms

Counts
129 → 129
Iterations

Useful iterations: 2 (131.0ms)

IterNodesCost
01871758
14231632
218541564
done50001564

prune248.0ms

Pruning

5 alts after pruning (4 fresh and 1 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))
2.3b
(/ (/ z (+ y z)) x)

rewrite64.0ms

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
pow1
rec-exp frac-2neg 1-exp clear-num add-log-exp
pow-flip associate-/l/ inv-pow
Counts
3 → 383
Calls
3 calls:
8.0ms
(/ z (+ y z))
19.0ms
(/ 1 (/ (/ z (+ y z)) x))
12.0ms
(/ (/ z (+ y z)) x)

series140.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ z (+ y z))
36.0ms
(/ 1 (/ (/ z (+ y z)) x))
63.0ms
(/ (/ z (+ y z)) x)

simplify2.3s

Counts
392 → 392
Iterations

Useful iterations: 2 (529.0ms)

IterNodesCost
04927266
112396413
243875535
done50005535

prune536.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (* x y) z) x)
6.4b
(/ (* x y) z)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
*-un-lft-identity
add-sqr-sqrt add-cube-cbrt add-log-exp
times-frac associate-/r*
pow1 cbrt-undiv div-exp
+-commutative frac-2neg flip3-+ prod-exp clear-num sum-log cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 33
Calls
2 calls:
7.0ms
(+ (/ (* x y) z) x)
3.0ms
(/ (* x y) z)

series46.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(+ (/ (* x y) z) x)
19.0ms
(/ (* x y) z)

simplify1.3s

Counts
39 → 39
Iterations

Useful iterations: 3 (267.0ms)

IterNodesCost
067359
1182337
2671305
32990301
done5000301

prune64.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes58.0ms

Accuracy

0% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 2.9b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
done77

end0.0ms

sample397.0ms

Algorithm
intervals
Results
201.0ms9615×body80valid