Details

Time bar (total: 6.6s)

sample36.0ms

Algorithm
intervals
Results
8.0ms256×pre80true
7.0ms256×body80valid

simplify51.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1187
2397
3667
4857
5877
done877

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube distribute-lft-out
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
105.0ms
(* a (+ (+ b c) d))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(* a (+ (+ b c) d))

simplify574.0ms

Counts
27 → 27
Iterations

Useful iterations: done (573.0ms)

IterNodesCost
052255
1165244
2736214
done5000212

prune103.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*l*
3×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube distribute-lft-out
2×associate-*l/
1×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
110.0ms
(* (+ (+ b c) d) a)

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(* (+ (+ b c) d) a)

simplify406.0ms

Counts
25 → 25
Iterations

Useful iterations: done (405.0ms)

IterNodesCost
049247
1129240
2672210
done5000208

prune124.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize18.0ms

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

rewrite382.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
21×sqrt-prod
18×sqrt-div
17×add-sqr-sqrt
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×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 91
Calls
4 calls:
44.0ms
(sqrt (+ (+ b c) d))
43.0ms
(sqrt (+ (+ b c) d))
83.0ms
(* a (sqrt (+ (+ b c) d)))
206.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

series311.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(sqrt (+ (+ b c) d))
64.0ms
(sqrt (+ (+ b c) d))
105.0ms
(* a (sqrt (+ (+ b c) d)))
85.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

simplify891.0ms

Counts
103 → 103
Iterations

Useful iterations: done (887.0ms)

IterNodesCost
01351549
13621243
217681147
done50001123

prune359.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (+ b c) d) a)
0.1b
(sqrt (* (+ (+ b c) d) a))
0.1b
(sqrt (* (+ (+ b c) d) a))
0.5b
(* (sqrt (* (+ (+ b c) d) a)) (sqrt (* (+ (+ b c) d) a)))

rewrite291.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*l/
16×sqrt-div
15×*-un-lft-identity
14×add-sqr-sqrt
12×pow1/2
10×add-cube-cbrt pow-prod-up
9×flip3-+ associate-*l* flip-+
8×add-exp-log add-cbrt-cube
7×associate-*r*
6×sqrt-prod pow-sqr
4×frac-times swap-sqr add-log-exp
3×distribute-lft-out
2×associate-*r/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 105
Calls
4 calls:
85.0ms
(* (+ (+ b c) d) a)
20.0ms
(sqrt (* (+ (+ b c) d) a))
21.0ms
(sqrt (* (+ (+ b c) d) a))
160.0ms
(* (sqrt (* (+ (+ b c) d) a)) (sqrt (* (+ (+ b c) d) a)))

series228.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (+ (+ b c) d) a)
81.0ms
(sqrt (* (+ (+ b c) d) a))
85.0ms
(sqrt (* (+ (+ b c) d) a))
30.0ms
(* (sqrt (* (+ (+ b c) d) a)) (sqrt (* (+ (+ b c) d) a)))

simplify806.0ms

Counts
117 → 117
Iterations

Useful iterations: done (802.0ms)

IterNodesCost
01271751
13211345
216061217
done50021179

prune451.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes313.0ms

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

sample907.0ms

Algorithm
intervals
Results
306.0ms8000×pre80true
219.0ms8000×body80valid