Details

Time bar (total: 10.0s)

sample33.0ms

Algorithm
intervals
Results
8.0ms256×pre80true
7.0ms256×body80valid

simplify109.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1187
2417
3767
41157
51177
done1177

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
7×add-sqr-sqrt distribute-lft-out add-log-exp
5×add-cube-cbrt associate-*r*
4×pow1 add-exp-log fma-def add-cbrt-cube
3×associate-*l* sum-log
2×expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u
1×+-commutative distribute-rgt-in associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 47
Calls
2 calls:
46.0ms
(+ (+ b c) d)
94.0ms
(* a (+ (+ b c) d))

series49.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(+ (+ b c) d)
32.0ms
(* a (+ (+ b c) d))

simplify617.0ms

Counts
53 → 53
Iterations

Useful iterations: done (616.0ms)

IterNodesCost
070428
1204409
2890371
done5000367

prune128.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×expm1-log1p-u flip3-+ associate-*l/ flip-+ log1p-expm1-u
1×+-commutative fma-def pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 37
Calls
2 calls:
41.0ms
(* (+ b c) a)
22.0ms
(+ (* (+ b c) a) (* a d))

series72.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (+ b c) a)
41.0ms
(+ (* (+ b c) a) (* a d))

simplify713.0ms

Counts
43 → 43
Iterations

Useful iterations: 2 (147.0ms)

IterNodesCost
072414
1202371
2902325
done5001325

prune119.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (+ b c) d))
0.0b
(sqrt (+ (+ b c) d))
0.2b
(* a (sqrt (+ (+ b c) d)))
0.4b
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

rewrite329.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
21×add-sqr-sqrt sqrt-prod
18×sqrt-div
16×associate-*r*
13×pow1
12×distribute-lft-out
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*r/
9×flip3-+ flip-+
4×expm1-log1p-u frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative hypot-def unswap-sqr
Counts
4 → 101
Calls
4 calls:
38.0ms
(sqrt (+ (+ b c) d))
54.0ms
(sqrt (+ (+ b c) d))
80.0ms
(* a (sqrt (+ (+ b c) d)))
153.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

series363.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(sqrt (+ (+ b c) d))
77.0ms
(sqrt (+ (+ b c) d))
101.0ms
(* a (sqrt (+ (+ b c) d)))
105.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

simplify1.1s

Counts
113 → 113
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01411627
13811299
218181187
done50021164

prune340.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
122×sqrt-div
48×sqrt-prod
36×associate-*r/
35×*-un-lft-identity flip3-+ flip-+
32×frac-times
30×associate-*r*
23×add-sqr-sqrt
22×pow1
20×add-exp-log add-cbrt-cube
16×associate-*l/
15×add-cube-cbrt
12×distribute-lft-out
10×pow-prod-down prod-exp cbrt-unprod
5×associate-*l*
4×expm1-log1p-u sqrt-pow1 log1p-expm1-u add-log-exp
3×*-commutative unswap-sqr
2×rem-sqrt-square pow1/2
Counts
4 → 147
Calls
4 calls:
39.0ms
(sqrt (sqrt (+ (+ b c) d)))
122.0ms
(* a (sqrt (sqrt (+ (+ b c) d))))
214.0ms
(* (* a (sqrt (sqrt (+ (+ b c) d)))) (sqrt (sqrt (+ (+ b c) d))))
720.0ms
(* (* (* a (sqrt (sqrt (+ (+ b c) d)))) (sqrt (sqrt (+ (+ b c) d)))) (sqrt (+ (+ b c) d)))

series1.0s

Counts
4 → 12
Calls
4 calls:
429.0ms
(sqrt (sqrt (+ (+ b c) d)))
404.0ms
(* a (sqrt (sqrt (+ (+ b c) d))))
112.0ms
(* (* a (sqrt (sqrt (+ (+ b c) d)))) (sqrt (sqrt (+ (+ b c) d))))
98.0ms
(* (* (* a (sqrt (sqrt (+ (+ b c) d)))) (sqrt (sqrt (+ (+ b c) d)))) (sqrt (+ (+ b c) d)))

simplify2.0s

Counts
159 → 159
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02564107
17323240
239042831
done50002521

prune529.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes204.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1129
done129

end0.0ms

sample898.0ms

Algorithm
intervals
Results
280.0ms8000×pre80true
218.0ms8000×body80valid