Details

Time bar (total: 14.4s)

sample33.0ms

Algorithm
intervals
Results
12.0ms256×pre80true
10.0ms256×body80valid

simplify29.0ms

Counts
1 → 1
Iterations
IterNodes
done64
464
361
238
118
07

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt distribute-lft-out
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ insert-posit16 add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
55.0ms
(* a (+ (+ b c) d))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(* a (+ (+ b c) d))

simplify2.7s

Counts
28 → 28
Iterations
IterNodes
done5012
34199
2662
1164
053

prune107.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+ insert-posit16 distribute-lft-out
1×+-commutative sum-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 39
Calls
2 calls:
20.0ms
(+ (* a (+ b c)) (* a d))
24.0ms
(* a (+ b c))

series77.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(+ (* a (+ b c)) (* a d))
28.0ms
(* a (+ b c))

simplify1.1s

Counts
45 → 45
Iterations
IterNodes
done5001
2842
1232
074

prune157.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

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)))

rewrite248.0ms

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-cbrt-cube add-exp-log add-cube-cbrt
10×associate-*r/
9×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16 add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 95
Calls
4 calls:
28.0ms
(sqrt (+ (+ b c) d))
19.0ms
(sqrt (+ (+ b c) d))
81.0ms
(* a (sqrt (+ (+ b c) d)))
118.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

series315.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(sqrt (+ (+ b c) d))
62.0ms
(sqrt (+ (+ b c) d))
92.0ms
(* a (sqrt (+ (+ b c) d)))
102.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

simplify2.7s

Counts
107 → 107
Iterations
IterNodes
done5003
34235
21184
1364
0138

prune432.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (+ (+ b c) d)))
0.2b
(* a (sqrt (+ (+ b c) d)))
0.3b
(* (* a (sqrt (+ (+ b c) d))) (sqrt (sqrt (+ (+ b c) d))))
0.4b
(* (* (* a (sqrt (+ (+ b c) d))) (sqrt (sqrt (+ (+ b c) d)))) (sqrt (sqrt (+ (+ b c) d))))

rewrite576.0ms

Algorithm
rewrite-expression-head
Rules
114×sqrt-div
46×sqrt-prod
36×associate-*r/
35×*-un-lft-identity flip3-+ flip-+
32×frac-times
30×associate-*r*
22×pow1
21×add-sqr-sqrt
20×add-cbrt-cube add-exp-log
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 insert-posit16 add-log-exp
3×*-commutative
2×rem-sqrt-square pow1/2 unswap-sqr
Counts
4 → 142
Calls
4 calls:
37.0ms
(sqrt (sqrt (+ (+ b c) d)))
62.0ms
(* a (sqrt (+ (+ b c) d)))
138.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (sqrt (+ (+ b c) d))))
336.0ms
(* (* (* a (sqrt (+ (+ b c) d))) (sqrt (sqrt (+ (+ b c) d)))) (sqrt (sqrt (+ (+ b c) d))))

series1.5s

Counts
4 → 12
Calls
4 calls:
491.0ms
(sqrt (sqrt (+ (+ b c) d)))
115.0ms
(* a (sqrt (+ (+ b c) d)))
768.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (sqrt (+ (+ b c) d))))
77.0ms
(* (* (* a (sqrt (+ (+ b c) d))) (sqrt (sqrt (+ (+ b c) d)))) (sqrt (sqrt (+ (+ b c) d))))

simplify2.1s

Counts
154 → 154
Iterations
IterNodes
done5004
22792
1754
0268

prune782.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes256.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done12
112
08

end0.0ms

sample1.2s

Algorithm
intervals
Results
519.0ms8000×pre80true
436.0ms8000×body80valid