Details

Time bar (total: 23.0s)

sample37.0ms

Algorithm
intervals
Results
15.0ms302×body80valid

simplify65.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1167
2227
3337
4367
5427
6467
7547
8557
done557

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
12.2b
(/ (* 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:
33.0ms
(* x (+ y z))
22.0ms
(/ (* x (+ y z)) z)

series88.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* x (+ y z))
48.0ms
(/ (* x (+ y z)) z)

simplify2.7s

Counts
52 → 52
Iterations

Useful iterations: 2 (140.0ms)

IterNodesCost
085458
1226434
2786376
33636376
done5000376

prune138.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
2.9b
(/ x (/ z (+ y z)))

rewrite49.0ms

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:
19.0ms
(/ z (+ y z))
24.0ms
(/ x (/ z (+ y z)))

series132.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(/ z (+ y z))
62.0ms
(/ x (/ z (+ y z)))

simplify2.7s

Counts
129 → 129
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
01871758
14001632
213371564
342771558
done50001558

prune327.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z) (- (+ y z)))
2.9b
(/ x (/ (- z) (- (+ y z))))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
978×times-frac
673×*-un-lft-identity
469×add-sqr-sqrt add-cube-cbrt
387×distribute-lft-neg-in distribute-rgt-neg-in
138×associate-/r*
112×neg-mul-1
102×distribute-lft-out
13×associate-/l*
11×associate-/r/
10×distribute-neg-frac
9×add-exp-log add-cbrt-cube
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×neg-sub0 div-sub distribute-frac-neg
Counts
2 → 680
Calls
2 calls:
25.0ms
(/ (- z) (- (+ y z)))
51.0ms
(/ x (/ (- z) (- (+ y z))))

series128.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(/ (- z) (- (+ y z)))
60.0ms
(/ x (/ (- z) (- (+ y z))))

simplify1.2s

Counts
686 → 686
Iterations

Useful iterations: done (1.2s)

IterNodesCost
077212130
1171611233
done500110989

prune1.8s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z) (- (+ y z)))
0.2b
(/ 1 (/ (/ (- z) (- (+ y z))) x))
2.9b
(/ (/ (- z) (- (+ y z))) x)

rewrite680.0ms

Algorithm
rewrite-expression-head
Rules
5076×times-frac
2849×*-un-lft-identity
2165×add-sqr-sqrt add-cube-cbrt
1299×distribute-lft-neg-in distribute-rgt-neg-in
397×associate-/r*
376×neg-mul-1
342×distribute-lft-out
139×associate-/l*
35×associate-/r/
34×distribute-neg-frac
31×add-exp-log
23×div-inv
19×div-exp add-cbrt-cube
17×flip3-+ flip-+
10×cbrt-undiv
4×pow1
3×rec-exp frac-2neg 1-exp div-sub distribute-frac-neg clear-num add-log-exp
2×neg-sub0
1×pow-flip associate-/l/ inv-pow
Counts
3 → 2238
Calls
3 calls:
46.0ms
(/ (- z) (- (+ y z)))
167.0ms
(/ 1 (/ (/ (- z) (- (+ y z))) x))
78.0ms
(/ (/ (- z) (- (+ y z))) x)

series261.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(/ (- z) (- (+ y z)))
66.0ms
(/ 1 (/ (/ (- z) (- (+ y z))) x))
129.0ms
(/ (/ (- z) (- (+ y z))) x)

simplify2.5s

Counts
2247 → 2247
Iterations

Useful iterations: done (2.3s)

IterNodesCost
0219550272
done500047449

prune8.3s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes219.0ms

Accuracy

71.9% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.0b

bsearch2.0ms

simplify20.0ms

Iterations

Useful iterations: 4 (12.0ms)

IterNodesCost
02075
12669
22963
33557
43856
54156
64256
74356
done4356

end0.0ms

sample1.3s

Algorithm
intervals
Results
847.0ms9578×body80valid