Details

Time bar (total: 3.1s)

sample24.0ms

Algorithm
intervals
Results
5.0ms256×pre80true
5.0ms256×body80valid

simplify14.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0194
1584
21784
33514
44014
54014
done4014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b
(+ (+ e d) c)
0.2b
(+ (+ (+ (+ e d) c) b) a)
0.3b
(+ (+ (+ e d) c) b)

rewrite608.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity add-log-exp
19×sum-log distribute-lft-out
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+l+ flip3-+ add-cbrt-cube flip-+
Counts
3 → 51
Calls
3 calls:
26.0ms
(+ (+ e d) c)
464.0ms
(+ (+ (+ (+ e d) c) b) a)
116.0ms
(+ (+ (+ e d) c) b)

series107.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(+ (+ e d) c)
56.0ms
(+ (+ (+ (+ e d) c) b) a)
35.0ms
(+ (+ (+ e d) c) b)

simplify30.0ms

Counts
60 → 60
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0234271
11006262
25002262
done5002262

prune120.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(+ (+ (+ e d) (+ c b)) a)
0.3b
(+ (+ e d) (+ c b))

rewrite220.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity add-log-exp
21×sum-log distribute-lft-out
flip3-+ flip-+
frac-add
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+l+ add-cbrt-cube
associate-+r+
Counts
2 → 45
Calls
2 calls:
179.0ms
(+ (+ (+ e d) (+ c b)) a)
39.0ms
(+ (+ e d) (+ c b))

series86.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(+ (+ (+ e d) (+ c b)) a)
32.0ms
(+ (+ e d) (+ c b))

simplify39.0ms

Counts
51 → 51
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0343314
11354305
25001305
done5001305

prune104.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(+ (+ e d) (+ a (+ b c)))
0.3b
(+ a (+ b c))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity add-log-exp
18×sum-log distribute-lft-out
flip3-+ flip-+
frac-add
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ add-cbrt-cube
associate-+l+
Counts
2 → 43
Calls
2 calls:
66.0ms
(+ (+ e d) (+ a (+ b c)))
15.0ms
(+ a (+ b c))

series72.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(+ (+ e d) (+ a (+ b c)))
17.0ms
(+ a (+ b c))

simplify33.0ms

Counts
49 → 49
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0305308
11267299
25001299
done5001299

prune92.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ (+ e d) (* (sqrt (+ a (+ b c))) (sqrt (+ a (+ b c)))))
0.3b
(+ a (+ b c))
0.3b
(+ a (+ b c))
0.4b
(* (sqrt (+ a (+ b c))) (sqrt (+ a (+ b c))))

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
66×*-un-lft-identity
38×sqrt-prod
36×sqrt-div
30×distribute-lft-out
29×flip3-+ flip-+
24×add-sqr-sqrt
19×pow1 add-log-exp
16×swap-sqr frac-add
12×frac-times add-cube-cbrt
sum-log
sqrt-pow1 pow1/2 associate-*r* associate-*l*
add-exp-log associate-*r/ associate-*l/ add-cbrt-cube
pow-prod-up
unswap-sqr
+-commutative pow-prod-down pow-sqr
associate-+r+
pow2 associate-+l+ pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 128
Calls
4 calls:
30.0ms
(+ (+ e d) (* (sqrt (+ a (+ b c))) (sqrt (+ a (+ b c)))))
15.0ms
(+ a (+ b c))
15.0ms
(+ a (+ b c))
108.0ms
(* (sqrt (+ a (+ b c))) (sqrt (+ a (+ b c))))

series136.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(+ (+ e d) (* (sqrt (+ a (+ b c))) (sqrt (+ a (+ b c)))))
16.0ms
(+ a (+ b c))
19.0ms
(+ a (+ b c))
48.0ms
(* (sqrt (+ a (+ b c))) (sqrt (+ a (+ b c))))

simplify63.0ms

Counts
140 → 140
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
04861311
119821223
250021212
done50021212

prune275.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes150.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159
1159
done159

end0.0ms

sample633.0ms

Algorithm
intervals
Results
169.0ms8000×pre80true
160.0ms8000×body80valid