Details

Time bar (total: 31.9s)

sample49.0ms

Algorithm
intervals
Results
18.0ms256×pre80true
15.0ms256×body80valid

simplify50.0ms

Calls
1 calls:
Slowest
50.0ms
(* a (+ (+ b c) d))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt *-un-lft-identity associate-*r* add-cube-cbrt
2×pow1 flip3-+ add-cbrt-cube associate-*r/ add-exp-log flip-+ insert-posit16 add-log-exp
1×distribute-rgt-in +-commutative associate-+l+ distribute-lft-in *-commutative
Calls
2 calls:
Slowest
5.0ms
(* a (+ (+ b c) d))
3.0ms
(+ (+ b c) d)

series68.0ms

Calls
2 calls:
Slowest
45.0ms
(* a (+ (+ b c) d))
23.0ms
(+ (+ b c) d)

simplify426.0ms

Calls
13 calls:
Slowest
207.0ms
(+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))
69.0ms
(+ (* a d) (+ (* a b) (* a c)))
46.0ms
(+ (* a d) (+ (* a b) (* a c)))
19.0ms
(- (+ b c) d)
18.0ms
(cbrt (+ (+ b c) d))

prune286.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
4×add-log-exp
3×add-sqr-sqrt *-un-lft-identity associate-*l* add-cube-cbrt
2×pow1 flip3-+ add-cbrt-cube associate-*l/ add-exp-log flip-+ insert-posit16
1×+-commutative sum-log distribute-rgt-out *-commutative
Calls
2 calls:
Slowest
8.0ms
(+ (* (+ b c) a) (* d a))
5.0ms
(* (+ b c) a)

series71.0ms

Calls
2 calls:
Slowest
42.0ms
(+ (* (+ b c) a) (* d a))
28.0ms
(* (+ b c) a)

simplify490.0ms

Calls
12 calls:
Slowest
139.0ms
(* (- (* b b) (* c c)) a)
134.0ms
(* (exp (* (+ b c) a)) (exp (* d a)))
55.0ms
(+ (* a d) (+ (* a b) (* a c)))
54.0ms
(+ (* a d) (+ (* a b) (* a c)))
47.0ms
(* (+ (pow b 3) (pow c 3)) a)

prune281.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))
0.3b
(* a (sqrt (+ (+ b c) d)))
0.0b
(sqrt (+ (+ b c) d))
0.0b
(sqrt (+ (+ b c) d))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
18×sqrt-div
12×add-sqr-sqrt associate-*r* sqrt-prod
10×*-un-lft-identity associate-*r/ add-cube-cbrt
9×flip3-+ flip-+
6×pow1 add-cbrt-cube add-exp-log
4×frac-times insert-posit16 add-log-exp
2×rem-sqrt-square pow1/2 associate-*l/ *-commutative
1×associate-*l* pow-prod-down prod-exp cbrt-unprod
Calls
4 calls:
Slowest
19.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))
10.0ms
(* a (sqrt (+ (+ b c) d)))
4.0ms
(sqrt (+ (+ b c) d))
3.0ms
(sqrt (+ (+ b c) d))

series325.0ms

Calls
4 calls:
Slowest
120.0ms
(* a (sqrt (+ (+ b c) d)))
88.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))
60.0ms
(sqrt (+ (+ b c) d))
57.0ms
(sqrt (+ (+ b c) d))

simplify5.3s

Calls
53 calls:
Slowest
574.0ms
(* (* a (sqrt (+ (pow (+ b c) 3) (pow d 3)))) (sqrt (+ (pow (+ b c) 3) (pow d 3))))
463.0ms
(* (* a (sqrt (+ (pow (+ b c) 3) (pow d 3)))) (sqrt (+ (+ b c) d)))
431.0ms
(sqrt (+ (pow (+ b c) 3) (pow d 3)))
418.0ms
(sqrt (+ (pow (+ b c) 3) (pow d 3)))
395.0ms
(* (* a (sqrt (+ (pow (+ b c) 3) (pow d 3)))) (sqrt (- (* (+ b c) (+ b c)) (* d d))))

prune921.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (* a (sqrt (+ (+ b c) d))) (sqrt (sqrt (+ (+ b c) d)))) (sqrt (sqrt (+ (+ b c) d))))
0.3b
(* (* a (sqrt (+ (+ b c) d))) (sqrt (sqrt (+ (+ b c) d))))
0.3b
(* a (sqrt (+ (+ b c) d)))
0.1b
(sqrt (sqrt (+ (+ b c) d)))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
114×sqrt-div
36×associate-*r/
35×flip3-+ flip-+
32×frac-times
31×sqrt-prod
24×associate-*r*
16×add-sqr-sqrt associate-*l/
14×*-un-lft-identity add-cube-cbrt
11×pow1 add-cbrt-cube add-exp-log
4×pow-prod-down prod-exp cbrt-unprod insert-posit16 add-log-exp
3×*-commutative
2×rem-sqrt-square associate-*l*
1×pow1/2
Calls
4 calls:
Slowest
78.0ms
(* (* (* a (sqrt (+ (+ b c) d))) (sqrt (sqrt (+ (+ b c) d)))) (sqrt (sqrt (+ (+ b c) d))))
17.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (sqrt (+ (+ b c) d))))
6.0ms
(* a (sqrt (+ (+ b c) d)))
4.0ms
(sqrt (sqrt (+ (+ b c) d)))

series1.6s

Calls
4 calls:
Slowest
829.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (sqrt (+ (+ b c) d))))
484.0ms
(sqrt (sqrt (+ (+ b c) d)))
125.0ms
(* (* (* a (sqrt (+ (+ b c) d))) (sqrt (sqrt (+ (+ b c) d)))) (sqrt (sqrt (+ (+ b c) d))))
112.0ms
(* a (sqrt (+ (+ b c) d)))

simplify19.0s

Calls
112 calls:
Slowest
919.0ms
(* (* (* a (sqrt (+ (+ b c) d))) (sqrt (sqrt (+ (pow (+ b c) 3) (pow d 3))))) (sqrt (sqrt (+ (pow (+ b c) 3) (pow d 3)))))
610.0ms
(* (* (* (* a (sqrt (+ (+ b c) d))) (* a (sqrt (+ (+ b c) d)))) (* a (sqrt (+ (+ b c) d)))) (* (* (sqrt (sqrt (+ (+ b c) d))) (sqrt (sqrt (+ (+ b c) d)))) (sqrt (sqrt (+ (+ b c) d)))))
514.0ms
(* (* a (sqrt (+ (pow (+ b c) 3) (pow d 3)))) (sqrt (sqrt (+ (+ b c) d))))
504.0ms
(* (* a (sqrt (+ (pow (+ b c) 3) (pow d 3)))) (sqrt (sqrt (+ (pow (+ b c) 3) (pow d 3)))))
503.0ms
(* (* (* a (sqrt (- (* (+ b c) (+ b c)) (* d d)))) (sqrt (sqrt (+ (pow (+ b c) 3) (pow d 3))))) (sqrt (sqrt (+ (+ b c) d))))

prune1.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes308.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
490.0ms8000×pre80true
433.0ms8000×body80valid