Details

Time bar (total: 8.6s)

sample39.0ms

Algorithm
intervals
Results
16.0ms256×pre80true
9.0ms256×body80valid

simplify77.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 1 expressions with local error:

0.1b
(* 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 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:
54.0ms
(* a (+ (+ b c) d))

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(* a (+ (+ b c) d))

simplify825.0ms

Counts
30 → 30
Iterations
IterNodes
done2003
32003
2668
1166
055

prune137.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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×expm1-log1p-u flip3-+ associate-*l/ flip-+ insert-posit16 log1p-expm1-u
1×+-commutative sum-log fma-def distribute-rgt-out pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 40
Calls
2 calls:
13.0ms
(+ (* (+ b c) a) (* d a))
21.0ms
(* (+ b c) a)

series87.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(+ (* (+ b c) a) (* d a))
39.0ms
(* (+ b c) a)

simplify1.5s

Counts
46 → 46
Iterations
IterNodes
done2005
32005
2740
1212
075

prune249.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*l/
16×sqrt-div
14×add-sqr-sqrt
12×*-un-lft-identity pow1/2
10×pow-prod-up add-cube-cbrt
9×flip3-+ flip-+
8×add-cbrt-cube associate-*l* add-exp-log
7×associate-*r*
6×pow-sqr sqrt-prod
4×expm1-log1p-u frac-times swap-sqr insert-posit16 log1p-expm1-u add-log-exp
2×prod-exp associate-*r/ *-commutative cbrt-unprod unswap-sqr
1×pow2 rem-square-sqrt pow-plus sqrt-unprod distribute-lft-out
Counts
4 → 116
Calls
4 calls:
26.0ms
(* (+ b c) a)
7.0ms
(sqrt (* (+ b c) a))
7.0ms
(sqrt (* (+ b c) a))
58.0ms
(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))

series291.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (+ b c) a)
101.0ms
(sqrt (* (+ b c) a))
121.0ms
(sqrt (* (+ b c) a))
37.0ms
(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))

simplify898.0ms

Counts
128 → 128
Iterations
IterNodes
done2001
32001
2777
1313
0131

prune554.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (+ b c) d))
0.4b
(* (sqrt a) (sqrt (+ (+ b c) d)))
0.4b
(* (sqrt a) (sqrt (+ (+ b c) d)))
0.5b
(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

rewrite258.0ms

Algorithm
rewrite-expression-head
Rules
68×pow1
41×pow-prod-down
32×add-sqr-sqrt
29×sqrt-prod
28×*-un-lft-identity
21×sqrt-pow1 pow1/2
20×add-cbrt-cube add-exp-log
18×sqrt-div associate-*r/
17×associate-*r*
13×associate-*l* add-cube-cbrt
10×prod-exp cbrt-unprod
9×flip3-+ flip-+ distribute-lft-out
8×pow-prod-up unswap-sqr
7×sqrt-unprod
6×pow-sqr
4×expm1-log1p-u frac-times insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative
2×pow-plus associate-*l/
1×pow2 rem-sqrt-square rem-square-sqrt swap-sqr hypot-def
Counts
4 → 150
Calls
4 calls:
24.0ms
(sqrt (+ (+ b c) d))
51.0ms
(* (sqrt a) (sqrt (+ (+ b c) d)))
55.0ms
(* (sqrt a) (sqrt (+ (+ b c) d)))
126.0ms
(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

series501.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(sqrt (+ (+ b c) d))
208.0ms
(* (sqrt a) (sqrt (+ (+ b c) d)))
171.0ms
(* (sqrt a) (sqrt (+ (+ b c) d)))
54.0ms
(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

simplify950.0ms

Counts
162 → 162
Iterations
IterNodes
done2006
32006
21331
1458
0170

prune499.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes289.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done12
112
08

end0.0ms

sample1.1s

Algorithm
intervals
Results
479.0ms8000×pre80true
402.0ms8000×body80valid