Details

Time bar (total: 10.9s)

sample44.0ms

Algorithm
intervals
Results
9.0ms256×pre80true
8.0ms256×body80valid

simplify109.0ms

Counts
1 → 1
Iterations
IterNodes
done117
5117
4113
376
241
118
07

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
7×add-sqr-sqrt distribute-lft-out add-log-exp
5×associate-*r* add-cube-cbrt
4×pow1 fma-def add-cbrt-cube add-exp-log
3×sum-log associate-*l*
2×expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u
1×distribute-rgt-in +-commutative associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 47
Calls
2 calls:
30.0ms
(+ (+ b c) d)
71.0ms
(* a (+ (+ b c) d))

series61.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(+ (+ b c) d)
35.0ms
(* a (+ (+ b c) d))

simplify1.1s

Counts
53 → 53
Iterations
IterNodes
done5000
2960
1206
070

prune311.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

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-+ 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 → 38
Calls
2 calls:
20.0ms
(+ (* (+ b c) a) (* d a))
37.0ms
(* (+ b c) a)

series91.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(+ (* (+ b c) a) (* d a))
45.0ms
(* (+ b c) a)

simplify1.3s

Counts
44 → 44
Iterations
IterNodes
done5001
21065
1210
073

prune336.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (+ b c) d))
0.3b
(* (sqrt a) (sqrt (+ (+ b c) d)))
0.3b
(* (sqrt a) (sqrt (+ (+ b c) d)))
0.5b
(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

rewrite576.0ms

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 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 → 146
Calls
4 calls:
53.0ms
(sqrt (+ (+ b c) d))
118.0ms
(* (sqrt a) (sqrt (+ (+ b c) d)))
119.0ms
(* (sqrt a) (sqrt (+ (+ b c) d)))
277.0ms
(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

series675.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(sqrt (+ (+ b c) d))
262.0ms
(* (sqrt a) (sqrt (+ (+ b c) d)))
236.0ms
(* (sqrt a) (sqrt (+ (+ b c) d)))
90.0ms
(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

simplify1.4s

Counts
158 → 158
Iterations
IterNodes
done5001
22010
1462
0167

prune616.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ b c) d)
0.0b
(* (- (+ b c) d) (+ (+ b c) d))
0.4b
(* a (* (- (+ b c) d) (+ (+ b c) d)))
6.8b
(/ (* a (* (- (+ b c) d) (+ (+ b c) d))) (- (+ b c) d))

rewrite635.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
27×add-sqr-sqrt
22×associate-*r/
20×add-cbrt-cube add-exp-log
17×add-cube-cbrt
12×frac-times prod-diff
11×pow1 flip3-- flip-- distribute-lft-out
9×flip3-+ associate-*l* flip-+ add-log-exp
8×distribute-lft-out-- associate-/l/
7×prod-exp cbrt-unprod
6×associate-/r* times-frac associate-*r* associate-*l/
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u fma-neg pow-prod-down log1p-expm1-u difference-of-squares
3×cbrt-undiv div-exp
2×diff-log associate-/r/ *-commutative
1×clear-num sum-log sub-neg frac-2neg associate--l+ div-inv associate-/l* unswap-sqr
Counts
4 → 143
Calls
4 calls:
56.0ms
(- (+ b c) d)
149.0ms
(* (- (+ b c) d) (+ (+ b c) d))
174.0ms
(* a (* (- (+ b c) d) (+ (+ b c) d)))
248.0ms
(/ (* a (* (- (+ b c) d) (+ (+ b c) d))) (- (+ b c) d))

series265.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(- (+ b c) d)
63.0ms
(* (- (+ b c) d) (+ (+ b c) d))
138.0ms
(* a (* (- (+ b c) d) (+ (+ b c) d)))
46.0ms
(/ (* a (* (- (+ b c) d) (+ (+ b c) d))) (- (+ b c) d))

simplify879.0ms

Counts
155 → 155
Iterations
IterNodes
done5000
1664
0209

prune753.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes469.0ms

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

sample997.0ms

Algorithm
intervals
Results
300.0ms8000×pre80true
227.0ms8000×body80valid