Details

Time bar (total: 13.1s)

sample22.0ms

Algorithm
intervals
Results
9.0ms299×body80valid

simplify66.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06123
116123
220123
331123
435123
542123
646123
750123
851123
done51123

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
15.4b
(/ (* x (+ y z)) z)

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
9×add-cbrt-cube add-exp-log
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt
4×pow1 associate-*r* associate-*r/
3×associate-/r* times-frac associate-*l*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ add-log-exp associate-/l/
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in pow-prod-down *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 46
Calls
2 calls:
31.0ms
(* x (+ y z))
31.0ms
(/ (* x (+ y z)) z)

series119.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* x (+ y z))
66.0ms
(/ (* x (+ y z)) z)

simplify3.3s

Counts
52 → 52
Iterations

Useful iterations: 2 (200.0ms)

IterNodesCost
0868828
12397963
28337643
337307643
done50487643

prune285.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
2.7b
(/ x (/ z (+ y z)))

rewrite58.0ms

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-cbrt-cube add-exp-log
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg add-log-exp
Counts
2 → 123
Calls
2 calls:
22.0ms
(/ z (+ y z))
26.0ms
(/ x (/ z (+ y z)))

series141.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(/ z (+ y z))
81.0ms
(/ x (/ z (+ y z)))

simplify1.6s

Counts
129 → 129
Iterations

Useful iterations: done (1.5s)

IterNodesCost
018740036
147736142
2163135249
done500035006

prune643.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
16×associate-*r*
9×add-cbrt-cube add-exp-log
7×distribute-lft-out
4×pow1 associate-/l*
3×associate-/r* associate-*l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg flip3-+ pow-prod-down associate-*r/ *-commutative flip-+
Counts
2 → 68
Calls
2 calls:
26.0ms
(/ (+ y z) z)
36.0ms
(* x (/ (+ y z) z))

series84.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (+ y z) z)
52.0ms
(* x (/ (+ y z) z))

simplify3.3s

Counts
74 → 74
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
09714347
124413295
279013135
3378312975
done503912975

prune359.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*l*
11×*-un-lft-identity
10×times-frac
9×add-cube-cbrt
6×add-cbrt-cube add-exp-log
4×associate-*r*
3×pow1
2×frac-times flip3-+ prod-exp associate-*r/ cbrt-unprod flip-+ unswap-sqr
1×distribute-rgt-in cbrt-undiv distribute-lft-in div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out add-log-exp
Counts
1 → 39
Calls
1 calls:
43.0ms
(* (/ x z) (+ y z))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(* (/ x z) (+ y z))

simplify1.7s

Counts
42 → 42
Iterations

Useful iterations: done (1.7s)

IterNodesCost
0909149
13278295
210818014
done50007934

prune208.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes321.0ms

Accuracy

47.3% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 3.2b

bsearch1.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
014465
120465
done20465

end0.0ms

sample661.0ms

Algorithm
intervals
Results
357.0ms9626×body80valid