Details

Time bar (total: 12.0s)

sample35.0ms

Algorithm
intervals
Results
8.0ms256×pre80true
7.0ms256×body80valid

simplify61.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1187
2397
3667
4857
5877
done877

prune424.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite140.0ms

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:
32.0ms
(+ (+ b c) d)
107.0ms
(* a (+ (+ b c) d))

series82.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(+ (+ b c) d)
52.0ms
(* a (+ (+ b c) d))

simplify801.0ms

Counts
45 → 45
Iterations

Useful iterations: done (799.0ms)

IterNodesCost
066400
1197384
2937344
done5000342

prune103.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

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×flip3-+ associate-*l/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 32
Calls
2 calls:
26.0ms
(* (+ b c) a)
14.0ms
(+ (* (+ b c) a) (* a d))

series62.0ms

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

simplify786.0ms

Counts
38 → 38
Iterations

Useful iterations: 2 (126.0ms)

IterNodesCost
068382
1191356
2934298
done5000298

prune142.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

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

rewrite409.0ms

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:
38.0ms
(sqrt (+ (+ b c) d))
32.0ms
(sqrt (+ (+ b c) d))
85.0ms
(* a (sqrt (+ (+ b c) d)))
250.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

series326.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(sqrt (+ (+ b c) d))
78.0ms
(sqrt (+ (+ b c) d))
84.0ms
(* a (sqrt (+ (+ b c) d)))
93.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

simplify1.3s

Counts
103 → 103
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01351549
13621243
217681147
done50001123

prune313.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

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)))

rewrite1.3s

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×sqrt-pow1 add-log-exp
3×*-commutative unswap-sqr
2×rem-sqrt-square pow1/2
Counts
4 → 139
Calls
4 calls:
35.0ms
(sqrt (sqrt (+ (+ b c) d)))
156.0ms
(* a (sqrt (sqrt (+ (+ b c) d))))
275.0ms
(* (* a (sqrt (sqrt (+ (+ b c) d)))) (sqrt (sqrt (+ (+ b c) d))))
823.0ms
(* (* (* a (sqrt (sqrt (+ (+ b c) d)))) (sqrt (sqrt (+ (+ b c) d)))) (sqrt (+ (+ b c) d)))

series1.3s

Counts
4 → 12
Calls
4 calls:
605.0ms
(sqrt (sqrt (+ (+ b c) d)))
426.0ms
(* a (sqrt (sqrt (+ (+ b c) d))))
138.0ms
(* (* a (sqrt (sqrt (+ (+ b c) d)))) (sqrt (sqrt (+ (+ b c) d))))
108.0ms
(* (* (* a (sqrt (sqrt (+ (+ b c) d)))) (sqrt (sqrt (+ (+ b c) d)))) (sqrt (+ (+ b c) d)))

simplify2.5s

Counts
151 → 151
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02483985
17073198
237962795
done50022484

prune584.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes183.0ms

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
089
1129
done129

end0.0ms

sample1.0s

Algorithm
intervals
Results
290.0ms8000×pre80true
284.0ms8000×body80valid