Details

Time bar (total: 8.0s)

sample32.0ms

Algorithm
intervals
Results
8.0ms256×pre80true
7.0ms256×body80valid

simplify108.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b
(+ (+ (+ e d) c) b)
0.2b
(+ (+ e d) c)
0.2b
(+ (+ (+ (+ e d) c) b) a)

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity add-log-exp
19×sum-log distribute-lft-out
3×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+l+ flip3-+ add-cbrt-cube flip-+
Counts
3 → 51
Calls
3 calls:
172.0ms
(+ (+ (+ e d) c) b)
32.0ms
(+ (+ e d) c)
936.0ms
(+ (+ (+ (+ e d) c) b) a)

series125.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(+ (+ (+ e d) c) b)
17.0ms
(+ (+ e d) c)
64.0ms
(+ (+ (+ (+ e d) c) b) a)

simplify331.0ms

Counts
60 → 60

prune154.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(+ (+ e d) c)
0.3b
(+ (+ (+ e d) c) (+ b a))

rewrite224.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity add-log-exp
18×sum-log distribute-lft-out
6×flip3-+ flip-+
4×frac-add
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+l+ add-cbrt-cube
1×associate-+r+
Counts
2 → 43
Calls
2 calls:
34.0ms
(+ (+ e d) c)
189.0ms
(+ (+ (+ e d) c) (+ b a))

series76.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(+ (+ e d) c)
57.0ms
(+ (+ (+ e d) c) (+ b a))

simplify596.0ms

Counts
49 → 49

prune136.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.2b
(+ e (+ d c))
0.3b
(+ (+ e (+ d c)) (+ b a))

rewrite197.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity add-log-exp
18×sum-log distribute-lft-out
6×flip3-+ flip-+
4×frac-add
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ add-cbrt-cube
1×associate-+l+
Counts
2 → 43
Calls
2 calls:
32.0ms
(+ e (+ d c))
159.0ms
(+ (+ e (+ d c)) (+ b a))

series89.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(+ e (+ d c))
73.0ms
(+ (+ e (+ d c)) (+ b a))

simplify594.0ms

Counts
49 → 49

prune101.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (+ b a) (- (+ b a) (+ e (+ d c))))
0.5b
(* (+ e (+ d c)) (+ e (+ d c)))
0.7b
(pow (+ b a) 3)
0.8b
(pow (+ e (+ d c)) 3)

rewrite532.0ms

Algorithm
rewrite-expression-head
Rules
97×*-un-lft-identity
42×distribute-lft-out
27×flip3-+ flip-+
22×add-sqr-sqrt
16×frac-times add-cube-cbrt
15×pow1 associate-*r*
12×frac-sub
11×swap-sqr
10×add-exp-log add-cbrt-cube
9×unpow-prod-down cube-prod associate-*l*
8×associate-*r/
6×pow-unpow distribute-lft-out--
4×cube-div distribute-rgt-in distribute-lft-in associate-*l/ add-log-exp
3×flip3-- flip--
2×cube-mult pow-to-exp sub-neg pow-pow unpow3 pow-prod-down pow-exp prod-exp associate--l+ *-commutative cbrt-unprod rem-cube-cbrt unswap-sqr sqr-pow
1×pow2 pow-plus pow-sqr pow-prod-up difference-of-squares
Counts
4 → 155
Calls
4 calls:
331.0ms
(* (+ b a) (- (+ b a) (+ e (+ d c))))
156.0ms
(* (+ e (+ d c)) (+ e (+ d c)))
10.0ms
(pow (+ b a) 3)
28.0ms
(pow (+ e (+ d c)) 3)

series457.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(* (+ b a) (- (+ b a) (+ e (+ d c))))
73.0ms
(* (+ e (+ d c)) (+ e (+ d c)))
32.0ms
(pow (+ b a) 3)
180.0ms
(pow (+ e (+ d c)) 3)

simplify475.0ms

Counts
167 → 167

prune629.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes427.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify172.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
380.0ms8000×body80valid
360.0ms8000×pre80true