Details

Time bar (total: 14.0s)

sample43.0ms

Algorithm
intervals
Results
14.0ms256×pre80true
12.0ms256×body80valid

simplify47.0ms

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

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite90.0ms

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:
89.0ms
(* a (+ (+ b c) d))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(* a (+ (+ b c) d))

simplify2.6s

Counts
28 → 28
Iterations
IterNodes
done5012
34199
2662
1164
053

prune136.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt add-log-exp
3×associate-*r*
2×flip3-+ associate-*l/ flip-+ insert-posit16
1×+-commutative sum-log distribute-rgt-out pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 35
Calls
2 calls:
28.0ms
(* (+ b c) a)
18.0ms
(+ (* (+ b c) a) (* d a))

series74.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (+ b c) a)
44.0ms
(+ (* (+ b c) a) (* d a))

simplify2.2s

Counts
41 → 41
Iterations
IterNodes
done5010
33381
2683
1200
071

prune202.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
14×sqrt-div associate-*l*
12×add-sqr-sqrt *-un-lft-identity
10×pow1 add-cbrt-cube associate-*l/ add-exp-log
9×sqrt-prod
8×flip3-+ add-cube-cbrt flip-+
5×add-log-exp
4×frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod
3×insert-posit16
2×associate-*r/ *-commutative distribute-lft-out unswap-sqr
1×+-commutative sum-log
Counts
3 → 69
Calls
3 calls:
53.0ms
(+ (* (sqrt (+ b c)) (* (sqrt (+ b c)) a)) (* d a))
22.0ms
(* (sqrt (+ b c)) a)
55.0ms
(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))

series217.0ms

Counts
3 → 9
Calls
3 calls:
97.0ms
(+ (* (sqrt (+ b c)) (* (sqrt (+ b c)) a)) (* d a))
72.0ms
(* (sqrt (+ b c)) a)
47.0ms
(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))

simplify2.3s

Counts
78 → 78
Iterations
IterNodes
done5000
33883
21021
1362
0134

prune379.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (+ (+ b c) d))
0.1b
(sqrt (* a (+ (+ b c) d)))
0.1b
(sqrt (* a (+ (+ b c) d)))
0.4b
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

rewrite341.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*r/
16×sqrt-div
15×*-un-lft-identity
14×add-sqr-sqrt
12×pow1/2
10×pow-prod-up add-cube-cbrt
9×flip3-+ associate-*r* flip-+
8×add-cbrt-cube add-exp-log
7×associate-*l*
6×pow-sqr sqrt-prod
4×frac-times swap-sqr insert-posit16 add-log-exp
3×distribute-lft-out
2×associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 distribute-rgt-in rem-square-sqrt distribute-lft-in pow-plus sqrt-unprod
Counts
4 → 111
Calls
4 calls:
84.0ms
(* a (+ (+ b c) d))
30.0ms
(sqrt (* a (+ (+ b c) d)))
25.0ms
(sqrt (* a (+ (+ b c) d)))
199.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

series516.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* a (+ (+ b c) d))
208.0ms
(sqrt (* a (+ (+ b c) d)))
248.0ms
(sqrt (* a (+ (+ b c) d)))
30.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

simplify2.7s

Counts
123 → 123
Iterations
IterNodes
done5019
34882
21114
1367
0138

prune478.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes386.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done12
112
08

end0.0ms

sample908.0ms

Algorithm
intervals
Results
351.0ms8000×pre80true
322.0ms8000×body80valid