Details

Time bar (total: 8.8s)

sample48.0ms

Algorithm
intervals
Results
19.0ms256×pre80true
12.0ms256×body80valid

simplify34.0ms

Counts
1 → 1
Iterations
IterNodes
564
464
361
238
118
07

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
add-log-exp
add-sqr-sqrt distribute-lft-out
associate-*r*
pow1 add-cbrt-cube add-exp-log add-cube-cbrt
sum-log associate-*l*
flip3-+ associate-*r/ flip-+ insert-posit16
distribute-rgt-in +-commutative associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 41
Calls
2 calls:
31.0ms
(+ (+ b c) d)
75.0ms
(* a (+ (+ b c) d))

series61.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(+ (+ b c) d)
34.0ms
(* a (+ (+ b c) d))

simplify1.3s

Counts
47 → 47
Iterations
IterNodes
33890
2705
1181
068

prune366.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-sqr-sqrt associate-*r*
pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt distribute-lft-out
associate-*r/
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:
46.0ms
(* a (+ b (+ c d)))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(* a (+ b (+ c d)))

simplify802.0ms

Counts
28 → 28
Iterations
IterNodes
32829
2527
1149
053

prune204.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt add-log-exp
associate-*r*
flip3-+ associate-*l/ flip-+ insert-posit16
+-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:
20.0ms
(+ (* (+ b c) a) (* d a))
16.0ms
(* (+ b c) a)

series65.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(+ (* (+ b c) a) (* d a))
35.0ms
(* (+ b c) a)

simplify859.0ms

Counts
41 → 41
Iterations
IterNodes
32566
2687
1199
071

prune338.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize28.0ms

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))))

rewrite242.0ms

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/
flip3-+ flip-+
frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16 add-log-exp
rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 95
Calls
4 calls:
16.0ms
(sqrt (+ b (+ c d)))
31.0ms
(sqrt (+ b (+ c d)))
57.0ms
(* a (sqrt (+ b (+ c d))))
135.0ms
(* (* a (sqrt (+ b (+ c d)))) (sqrt (+ b (+ c d))))

series389.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(sqrt (+ b (+ c d)))
64.0ms
(sqrt (+ b (+ c d)))
118.0ms
(* a (sqrt (+ b (+ c d))))
125.0ms
(* (* a (sqrt (+ b (+ c d)))) (sqrt (+ b (+ c d))))

simplify1.5s

Counts
107 → 107
Iterations
IterNodes
34233
21057
1363
0138

prune862.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes215.0ms

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
210
110
07

end0.0ms

sample1.2s

Algorithm
intervals
Results
520.0ms8000×pre80true
423.0ms8000×body80valid