Details

Time bar (total: 14.3s)

sample51.0ms

Algorithm
intervals
Results
21.0ms256×pre80true
16.0ms256×body80valid

simplify251.0ms

Calls
1 calls:
Slowest
251.0ms
(+ (+ (+ (+ e d) c) b) a)

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite83.0ms

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
66.0ms
(+ (+ (+ (+ e d) c) b) a)
14.0ms
(+ (+ (+ e d) c) b)
3.0ms
(+ (+ e d) c)

series100.0ms

Calls
3 calls:
Slowest
55.0ms
(+ (+ (+ (+ e d) c) b) a)
28.0ms
(+ (+ (+ e d) c) b)
17.0ms
(+ (+ e d) c)

simplify225.0ms

Calls
11 calls:
Slowest
24.0ms
(+ b (+ c d))
24.0ms
(+ e (+ c d))
24.0ms
(+ b (+ c d))
24.0ms
(+ a (+ b c))
24.0ms
(+ e (+ c d))

prune495.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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
16.0ms
(+ (+ (+ e d) c) (+ b a))
3.0ms
(+ (+ e d) c)

series61.0ms

Calls
2 calls:
Slowest
52.0ms
(+ (+ (+ e d) c) (+ b a))
10.0ms
(+ (+ e d) c)

simplify2.8s

Calls
17 calls:
Slowest
517.0ms
(* (+ (* (+ e d) (+ e d)) (- (* c c) (* (+ e d) c))) (- b a))
448.0ms
(+ (* (- (* (+ e d) (+ e d)) (* c c)) (+ (* b b) (- (* a a) (* b a)))) (* (- (+ e d) c) (+ (pow b 3) (pow a 3))))
385.0ms
(+ (* (+ (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))))
297.0ms
(+ (+ (+ e d) c) (+ b a))
196.0ms
(+ (* (- (* (+ e d) (+ e d)) (* c c)) (- b a)) (* (- (+ e d) c) (- (* b b) (* a a))))

prune446.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

3.4b
(exp (+ b (+ (+ d e) (+ c a))))
0.2b
(+ b (+ (+ d e) (+ c a)))
0.2b
(+ (+ d e) (+ c a))
0.0b
(log (exp (+ b (+ (+ d e) (+ c a)))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity
7×add-sqr-sqrt add-cube-cbrt add-log-exp
6×exp-prod flip3-+ flip-+
5×pow1
4×log-prod add-cbrt-cube frac-add add-exp-log log-pow insert-posit16
2×+-commutative associate-+r+ exp-sum
1×associate-+l+ sum-log rem-log-exp distribute-lft-out rem-exp-log
Calls
4 calls:
Slowest
27.0ms
(log (exp (+ b (+ (+ d e) (+ c a)))))
17.0ms
(exp (+ b (+ (+ d e) (+ c a))))
9.0ms
(+ b (+ (+ d e) (+ c a)))
8.0ms
(+ (+ d e) (+ c a))

series192.0ms

Calls
4 calls:
Slowest
65.0ms
(exp (+ b (+ (+ d e) (+ c a))))
57.0ms
(+ b (+ (+ d e) (+ c a)))
40.0ms
(log (exp (+ b (+ (+ d e) (+ c a)))))
31.0ms
(+ (+ d e) (+ c a))

simplify4.0s

Calls
35 calls:
Slowest
295.0ms
(+ (* (- (* d d) (* e e)) (+ (* c c) (- (* a a) (* c a)))) (* (- d e) (+ (pow c 3) (pow a 3))))
286.0ms
(+ (* (+ (pow d 3) (pow e 3)) (+ (* c c) (- (* a a) (* c a)))) (* (+ (* d d) (- (* e e) (* d e))) (+ (pow c 3) (pow a 3))))
271.0ms
(cbrt (+ b (+ (+ d e) (+ c a))))
269.0ms
(sqrt (+ b (+ (+ d e) (+ c a))))
268.0ms
(exp (* (cbrt (+ b (+ (+ d e) (+ c a)))) (cbrt (+ b (+ (+ d e) (+ c a))))))

prune870.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

3.4b
(exp (+ b (+ d (+ e (+ c a)))))
0.2b
(+ b (+ d (+ e (+ c a))))
0.2b
(+ d (+ e (+ c a)))
0.1b
(+ e (+ c a))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt add-log-exp
4×pow1 add-cbrt-cube add-exp-log insert-posit16
3×+-commutative associate-+r+ exp-prod flip3-+ flip-+
1×exp-sum rem-exp-log
Calls
4 calls:
Slowest
9.0ms
(exp (+ b (+ d (+ e (+ c a)))))
4.0ms
(+ b (+ d (+ e (+ c a))))
3.0ms
(+ d (+ e (+ c a)))
2.0ms
(+ e (+ c a))

series171.0ms

Calls
4 calls:
Slowest
60.0ms
(exp (+ b (+ d (+ e (+ c a)))))
58.0ms
(+ b (+ d (+ e (+ c a))))
35.0ms
(+ d (+ e (+ c a)))
18.0ms
(+ e (+ c a))

simplify1.7s

Calls
19 calls:
Slowest
701.0ms
(exp (* (cbrt (+ b (+ d (+ e (+ c a))))) (cbrt (+ b (+ d (+ e (+ c a)))))))
284.0ms
(+ b (+ d (+ e (+ c a))))
239.0ms
(exp (sqrt (+ b (+ d (+ e (+ c a))))))
162.0ms
(exp (+ e (+ a (+ b (+ c d)))))
142.0ms
(exp (+ e (+ a (+ b (+ c d)))))

prune785.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes461.0ms

Accuracy

0% (0.3b remaining)

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

bsearch3.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
744.0ms8000×pre80true
416.0ms8000×body80valid