Details

Time bar (total: 12.0s)

sample65.0ms

Algorithm
intervals
Results
26.0ms256×pre80true
17.0ms256×body80valid

simplify79.0ms

Counts
1 → 1
Iterations
IterNodes
done92
592
491
371
240
118
07

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 1 expressions with local error:

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

rewrite97.0ms

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 expm1-log1p-u distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 27
Calls
1 calls:
96.0ms
(* a (+ (+ b c) d))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(* a (+ (+ b c) d))

simplify1.1s

Counts
30 → 30
Iterations
IterNodes
done2003
32003
2668
1166
055

prune156.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity associate-*l*
11×add-sqr-sqrt
9×pow1 add-cbrt-cube add-exp-log
7×add-cube-cbrt sqrt-prod
6×associate-*r* associate-*r/
5×distribute-rgt-in distribute-lft-in
4×pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out
2×expm1-log1p-u flip3-+ *-commutative flip-+ insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
2 → 61
Calls
2 calls:
104.0ms
(* (sqrt a) (+ (+ b c) d))
101.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

series248.0ms

Counts
2 → 6
Calls
2 calls:
155.0ms
(* (sqrt a) (+ (+ b c) d))
93.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

simplify1.4s

Counts
67 → 67
Iterations
IterNodes
done2008
32008
21248
1305
097

prune320.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite740.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1
28×*-un-lft-identity sqrt-div
26×associate-*r/
25×sqrt-prod
24×add-sqr-sqrt
22×pow-prod-down
20×add-cbrt-cube add-exp-log
17×associate-*r*
14×flip3-+ flip-+
13×associate-*l* add-cube-cbrt
10×sqrt-pow1 pow1/2 prod-exp cbrt-unprod
9×distribute-lft-out
8×frac-times
6×sqrt-unprod
4×expm1-log1p-u associate-*l/ insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
3×*-commutative
1×rem-sqrt-square hypot-def
Counts
4 → 133
Calls
4 calls:
37.0ms
(sqrt (+ (+ b c) d))
189.0ms
(* (* (sqrt a) (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))
91.0ms
(* (sqrt a) (sqrt (+ (+ b c) d)))
420.0ms
(* (sqrt a) (* (* (sqrt a) (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d))))

series520.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(sqrt (+ (+ b c) d))
141.0ms
(* (* (sqrt a) (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))
232.0ms
(* (sqrt a) (sqrt (+ (+ b c) d)))
68.0ms
(* (sqrt a) (* (* (sqrt a) (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d))))

simplify1.7s

Counts
145 → 145
Iterations
IterNodes
done2001
32001
21983
1546
0191

prune817.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite476.0ms

Algorithm
rewrite-expression-head
Rules
34×sqrt-prod
24×associate-*l*
23×add-sqr-sqrt
22×pow1
20×*-un-lft-identity add-cbrt-cube add-exp-log
17×distribute-rgt-in distribute-lft-in
15×add-cube-cbrt
12×associate-*r/
10×pow-prod-down prod-exp cbrt-unprod
7×associate-*r*
4×expm1-log1p-u sqrt-pow1 insert-posit16 log1p-expm1-u add-log-exp
3×flip3-+ *-commutative flip-+ distribute-lft-out unswap-sqr
2×rem-sqrt-square pow1/2
Counts
4 → 127
Calls
4 calls:
3.0ms
(sqrt (sqrt a))
74.0ms
(* (sqrt (sqrt a)) (+ (+ b c) d))
280.0ms
(* (sqrt a) (* (sqrt (sqrt a)) (* (sqrt (sqrt a)) (+ (+ b c) d))))
116.0ms
(* (sqrt (sqrt a)) (* (sqrt (sqrt a)) (+ (+ b c) d)))

series642.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(sqrt (sqrt a))
250.0ms
(* (sqrt (sqrt a)) (+ (+ b c) d))
64.0ms
(* (sqrt a) (* (sqrt (sqrt a)) (* (sqrt (sqrt a)) (+ (+ b c) d))))
141.0ms
(* (sqrt (sqrt a)) (* (sqrt (sqrt a)) (+ (+ b c) d)))

simplify939.0ms

Counts
139 → 139
Iterations
IterNodes
done2002
22002
1584
0194

prune551.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes342.0ms

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
done10
110
07

end0.0ms

sample1.3s

Algorithm
intervals
Results
555.0ms8000×pre80true
497.0ms8000×body80valid