Details

Time bar (total: 9.3s)

sample69.0ms

Algorithm
intervals
Results
26.0ms256×body80valid
24.0ms256×pre80true

simplify714.0ms

Calls
1 calls:
Slowest
713.0ms
(+ (+ (+ (+ e d) c) b) a)

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite104.0ms

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
82.0ms
(+ (+ (+ (+ e d) c) b) a)
16.0ms
(+ (+ (+ e d) c) b)
5.0ms
(+ (+ e d) c)

series94.0ms

Calls
3 calls:
Slowest
48.0ms
(+ (+ (+ (+ e d) c) b) a)
27.0ms
(+ (+ (+ e d) c) b)
18.0ms
(+ (+ e d) c)

simplify177.0ms

Calls
11 calls:
Slowest
23.0ms
(+ e (+ c d))
23.0ms
(+ (+ e d) c)
22.0ms
(+ e (+ c d))
21.0ms
(+ e (+ c d))
19.0ms
(+ a (+ b c))

prune413.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b
(+ (+ (+ e (+ c d)) b) a)
0.2b
(+ (+ e (+ c d)) b)
0.1b
(+ e (+ c d))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt pow1 +-commutative *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16 add-log-exp
2×associate-+l+
1×associate-+r+
Calls
3 calls:
Slowest
26.0ms
(+ (+ (+ e (+ c d)) b) a)
8.0ms
(+ (+ e (+ c d)) b)
1.0ms
(+ e (+ c d))

series88.0ms

Calls
3 calls:
Slowest
45.0ms
(+ (+ (+ e (+ c d)) b) a)
32.0ms
(+ (+ e (+ c d)) b)
11.0ms
(+ e (+ c d))

simplify207.0ms

Calls
10 calls:
Slowest
23.0ms
(+ a (+ b d))
23.0ms
(+ e (+ c d))
22.0ms
(+ b (+ c d))
22.0ms
(+ e (+ c d))
22.0ms
(+ e (+ c d))

prune371.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.3b
(+ (+ e (+ c d)) (+ b a))
0.1b
(+ e (+ c d))

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 (+ c d)) (+ b a))
1.0ms
(+ e (+ c d))

series65.0ms

Calls
2 calls:
Slowest
49.0ms
(+ (+ e (+ c d)) (+ b a))
16.0ms
(+ e (+ c d))

simplify2.9s

Calls
16 calls:
Slowest
494.0ms
(* (+ (* e e) (- (* (+ c d) (+ c d)) (* e (+ c d)))) (- b a))
422.0ms
(* (- e (+ c d)) (- b a))
411.0ms
(* (- e (+ c d)) (+ (* b b) (- (* a a) (* b a))))
368.0ms
(+ (* (+ (pow e 3) (pow (+ c d) 3)) (+ (* b b) (- (* a a) (* b a)))) (* (+ (* e e) (- (* (+ c d) (+ c d)) (* e (+ c d)))) (+ (pow b 3) (pow a 3))))
281.0ms
(+ (* (- (* e e) (* (+ c d) (+ c d))) (+ (* b b) (- (* a a) (* b a)))) (* (- e (+ c d)) (+ (pow b 3) (pow a 3))))

prune398.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

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
4.0ms
(+ (+ c d) (+ b a))
4.0ms
(+ e (+ (+ c d) (+ b a)))

series85.0ms

Calls
2 calls:
Slowest
51.0ms
(+ e (+ (+ c d) (+ b a)))
34.0ms
(+ (+ c d) (+ b a))

simplify1.6s

Calls
17 calls:
Slowest
313.0ms
(+ (* (+ (pow c 3) (pow d 3)) (+ (* b b) (- (* a a) (* b a)))) (* (+ (* c c) (- (* d d) (* c d))) (+ (pow b 3) (pow a 3))))
280.0ms
(* (- c d) (+ (* b b) (- (* a a) (* b a))))
204.0ms
(+ (* (- (* c c) (* d d)) (+ (* b b) (- (* a a) (* b a)))) (* (- c d) (+ (pow b 3) (pow a 3))))
129.0ms
(+ (* (+ (pow c 3) (pow d 3)) (- b a)) (* (+ (* c c) (- (* d d) (* c d))) (- (* b b) (* a a))))
115.0ms
(* (exp (+ c d)) (exp (+ b a)))

prune313.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes376.0ms

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
624.0ms8000×pre80true
486.0ms8000×body80valid