Details

Time bar (total: 7.0s)

sample23.0ms

Algorithm
intervals
Results
5.0ms256×pre80true
4.0ms256×body80valid

simplify27.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1187
2397
3657
done657

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ b c) d)
0.0b
(* a (+ (+ b c) d))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
7×add-log-exp
6×add-sqr-sqrt distribute-lft-out
5×associate-*r*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
3×associate-*l* sum-log
2×flip3-+ associate-*r/ flip-+
1×+-commutative distribute-rgt-in associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 39
Calls
2 calls:
25.0ms
(+ (+ b c) d)
70.0ms
(* a (+ (+ b c) d))

series45.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(+ (+ b c) d)
29.0ms
(* a (+ (+ b c) d))

simplify1.6s

Counts
45 → 45
Iterations

Useful iterations: 3 (728.0ms)

IterNodesCost
066400
1177380
2683346
33966340
done5001340

prune76.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ b (+ c d))
0.0b
(* a (+ b (+ c d)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
7×add-log-exp
6×add-sqr-sqrt distribute-lft-out
5×associate-*r*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
3×associate-*l* sum-log
2×flip3-+ associate-*r/ flip-+
1×+-commutative distribute-rgt-in associate-+r+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 39
Calls
2 calls:
15.0ms
(+ b (+ c d))
54.0ms
(* a (+ b (+ c d)))

series48.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(+ b (+ c d))
31.0ms
(* a (+ b (+ c d)))

simplify1.6s

Counts
45 → 45
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
066400
1186382
2688340
33579340
done5000340

prune78.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (+ b (+ c d)))
0.2b
(sqrt (* a (+ b (+ c d))))
0.2b
(sqrt (* a (+ b (+ c d))))
0.5b
(* (sqrt (* a (+ b (+ c d)))) (sqrt (* a (+ b (+ c d)))))

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*r/
16×sqrt-div
15×*-un-lft-identity
14×add-sqr-sqrt
12×pow1/2
10×add-cube-cbrt pow-prod-up
9×flip3-+ associate-*r* flip-+
8×add-exp-log add-cbrt-cube
7×associate-*l*
6×sqrt-prod pow-sqr
4×frac-times swap-sqr add-log-exp
3×distribute-lft-out
2×associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 distribute-rgt-in distribute-lft-in pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 107
Calls
4 calls:
52.0ms
(* a (+ b (+ c d)))
15.0ms
(sqrt (* a (+ b (+ c d))))
15.0ms
(sqrt (* a (+ b (+ c d))))
116.0ms
(* (sqrt (* a (+ b (+ c d)))) (sqrt (* a (+ b (+ c d)))))

series429.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* a (+ b (+ c d)))
185.0ms
(sqrt (* a (+ b (+ c d))))
183.0ms
(sqrt (* a (+ b (+ c d))))
31.0ms
(* (sqrt (* a (+ b (+ c d)))) (sqrt (* a (+ b (+ c d)))))

simplify770.0ms

Counts
119 → 119
Iterations

Useful iterations: done (767.0ms)

IterNodesCost
01361791
13261361
211371237
done50011169

prune208.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ b c) d)
0.3b
(* (sqrt a) (+ (+ b c) d))
0.3b
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×add-sqr-sqrt associate-*l*
10×pow1 add-exp-log add-cbrt-cube
8×add-cube-cbrt add-log-exp
7×sqrt-prod
6×associate-*r/ associate-*r* distribute-lft-out
5×distribute-rgt-in distribute-lft-in
4×pow-prod-down prod-exp cbrt-unprod
3×flip3-+ sum-log flip-+
2×*-commutative unswap-sqr
1×+-commutative associate-+l+
Counts
3 → 70
Calls
3 calls:
26.0ms
(+ (+ b c) d)
71.0ms
(* (sqrt a) (+ (+ b c) d))
75.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

series166.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(+ (+ b c) d)
95.0ms
(* (sqrt a) (+ (+ b c) d))
56.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

simplify561.0ms

Counts
79 → 79
Iterations

Useful iterations: 2 (137.0ms)

IterNodesCost
0105919
1284764
21226672
done5002672

prune130.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes127.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
done107

end0.0ms

sample570.0ms

Algorithm
intervals
Results
166.0ms8000×pre80true
137.0ms8000×body80valid