Details

Time bar (total: 7.9s)

sample39.0ms

Algorithm
intervals
Results
18.0ms256×pre80true
11.0ms256×body80valid

simplify250.0ms

Calls
1 calls:
Slowest
250.0ms
(+ (+ (+ (+ e d) c) b) a)

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt pow1 +-commutative associate-+l+ *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16 add-log-exp
Calls
3 calls:
Slowest
81.0ms
(+ (+ (+ (+ e d) c) b) a)
13.0ms
(+ (+ (+ e d) c) b)
3.0ms
(+ (+ e d) c)

series72.0ms

Calls
3 calls:
Slowest
42.0ms
(+ (+ (+ (+ e d) c) b) a)
20.0ms
(+ (+ (+ e d) c) b)
10.0ms
(+ (+ e d) c)

simplify127.0ms

Calls
11 calls:
Slowest
19.0ms
(+ (+ e d) c)
13.0ms
(+ a (+ b c))
12.0ms
(+ a (+ b c))
12.0ms
(+ e (+ c d))
12.0ms
(+ b (+ c d))

prune313.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
6×flip3-+ flip-+
4×*-un-lft-identity frac-add add-log-exp
2×add-sqr-sqrt pow1 +-commutative associate-+l+ add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16
1×associate-+r+ sum-log distribute-lft-out
Calls
2 calls:
Slowest
14.0ms
(+ (+ (+ e d) c) (+ b a))
3.0ms
(+ (+ e d) c)

series49.0ms

Calls
2 calls:
Slowest
35.0ms
(+ (+ (+ e d) c) (+ b a))
14.0ms
(+ (+ e d) c)

simplify2.0s

Calls
17 calls:
Slowest
405.0ms
(* (+ (* (+ e d) (+ e d)) (- (* c c) (* (+ e d) c))) (- b a))
290.0ms
(+ (* (+ (pow (+ e d) 3) (pow c 3)) (+ (* b b) (- (* a a) (* b a)))) (* (+ (* (+ e d) (+ e d)) (- (* c c) (* (+ e d) c))) (+ (pow b 3) (pow a 3))))
282.0ms
(+ (* (- (* (+ e d) (+ e d)) (* c c)) (+ (* b b) (- (* a a) (* b a)))) (* (- (+ e d) c) (+ (pow b 3) (pow a 3))))
207.0ms
(+ (+ (+ e d) c) (+ b a))
164.0ms
(+ (* (+ (pow (+ e d) 3) (pow c 3)) (- b a)) (* (+ (* (+ e d) (+ e d)) (- (* c c) (* (+ e d) c))) (- (* b b) (* a a))))

prune324.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×flip3-+ flip-+
4×*-un-lft-identity frac-add add-log-exp
2×add-sqr-sqrt pow1 +-commutative associate-+r+ add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16
1×associate-+l+ sum-log distribute-lft-out
Calls
2 calls:
Slowest
5.0ms
(+ (+ e d) (+ c (+ b a)))
1.0ms
(+ c (+ b a))

series60.0ms

Calls
2 calls:
Slowest
46.0ms
(+ (+ e d) (+ c (+ b a)))
14.0ms
(+ c (+ b a))

simplify2.1s

Calls
17 calls:
Slowest
337.0ms
(* (- e d) (- c (+ b a)))
325.0ms
(+ (* (+ (pow e 3) (pow d 3)) (+ (* c c) (- (* (+ b a) (+ b a)) (* c (+ b a))))) (* (+ (* e e) (- (* d d) (* e d))) (+ (pow c 3) (pow (+ b a) 3))))
300.0ms
(+ (* (- (* e e) (* d d)) (+ (* c c) (- (* (+ b a) (+ b a)) (* c (+ b a))))) (* (- e d) (+ (pow c 3) (pow (+ b a) 3))))
188.0ms
(+ (+ e d) (+ c (+ b a)))
183.0ms
(* (+ (* e e) (- (* d d) (* e d))) (- c (+ b a)))

prune298.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt pow1 +-commutative associate-+r+ *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16 add-log-exp
Calls
3 calls:
Slowest
2.0ms
(+ e (+ d (+ c (+ b a))))
1.0ms
(+ d (+ c (+ b a)))
1.0ms
(+ c (+ b a))

series79.0ms

Calls
3 calls:
Slowest
36.0ms
(+ e (+ d (+ c (+ b a))))
29.0ms
(+ d (+ c (+ b a)))
14.0ms
(+ c (+ b a))

simplify158.0ms

Calls
11 calls:
Slowest
22.0ms
(+ e (+ c d))
21.0ms
(+ a (+ b c))
21.0ms
(+ c (+ b a))
16.0ms
(+ a (+ b c))
14.0ms
(+ a (+ b c))

prune323.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

regimes399.0ms

Accuracy

0% (0.2b remaining)

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

bsearch3.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
571.0ms8000×pre80true
450.0ms8000×body80valid