Details

Time bar (total: 17.8s)

sample57.0ms

Algorithm
intervals
Results
22.0ms256×pre80true
18.0ms256×body80valid

simplify89.0ms

Calls
1 calls:
Slowest
89.0ms
(* a (+ (+ b c) d))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 1 expressions with local error:

0.1b
(* a (+ (+ b c) d))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
4×distribute-rgt-in +-commutative associate-+l+ distribute-lft-in
3×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt distribute-lft-out
2×associate-*r/
1×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ insert-posit16 add-log-exp unswap-sqr
Calls
1 calls:
Slowest
59.0ms
(* a (+ (+ b c) d))

series30.0ms

Calls
1 calls:
Slowest
30.0ms
(* a (+ (+ b c) d))

simplify1.1s

Calls
25 calls:
Slowest
382.0ms
(* (* (* a a) a) (* (* (+ (+ b c) d) (+ (+ b c) d)) (+ (+ b c) d)))
222.0ms
(+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))
80.0ms
(+ (* a d) (+ (* a b) (* a c)))
72.0ms
(+ (* a d) (+ (* a b) (* a c)))
53.0ms
(* a (+ (+ b c) d))

prune349.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
11×associate-*r* associate-*l*
10×distribute-lft-out
8×add-sqr-sqrt
6×distribute-rgt-out add-cube-cbrt
4×pow1 add-cbrt-cube add-exp-log add-log-exp
3×*-commutative
2×flip3-+ associate-*l/ flip-+ insert-posit16
1×+-commutative sum-log pow-prod-down prod-exp cbrt-unprod unswap-sqr
Calls
2 calls:
Slowest
39.0ms
(+ (* c a) (* (+ b d) a))
28.0ms
(* (+ b d) a)

series91.0ms

Calls
2 calls:
Slowest
46.0ms
(* (+ b d) a)
45.0ms
(+ (* c a) (* (+ b d) a))

simplify2.3s

Calls
33 calls:
Slowest
645.0ms
(* (* (* (+ b d) (+ b d)) (+ b d)) (* (* a a) a))
273.0ms
(* (exp (* c a)) (exp (* (+ b d) a)))
188.0ms
(* (+ (pow b 3) (pow d 3)) a)
187.0ms
(* (- (* b b) (* d d)) a)
146.0ms
(+ (* c (* (cbrt a) (cbrt a))) (* (+ b d) (* (cbrt a) (cbrt a))))

prune461.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
11×associate-*r* associate-*l*
10×distribute-lft-out
8×add-sqr-sqrt
6×distribute-rgt-out add-cube-cbrt
4×pow1 add-cbrt-cube add-exp-log add-log-exp
3×*-commutative
2×flip3-+ associate-*l/ flip-+ insert-posit16
1×+-commutative sum-log pow-prod-down prod-exp cbrt-unprod unswap-sqr
Calls
2 calls:
Slowest
73.0ms
(+ (* b a) (* (+ c d) a))
28.0ms
(* (+ c d) a)

series65.0ms

Calls
2 calls:
Slowest
38.0ms
(+ (* b a) (* (+ c d) a))
27.0ms
(* (+ c d) a)

simplify2.1s

Calls
33 calls:
Slowest
580.0ms
(* (* (* (+ c d) (+ c d)) (+ c d)) (* (* a a) a))
277.0ms
(* (exp (* b a)) (exp (* (+ c d) a)))
184.0ms
(* (- (* c c) (* d d)) a)
175.0ms
(+ (* b (* (cbrt a) (cbrt a))) (* (+ c d) (* (cbrt a) (cbrt a))))
167.0ms
(* (+ (pow c 3) (pow d 3)) a)

prune517.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))
0.2b
(* a (sqrt (+ (+ b c) d)))
0.0b
(sqrt (+ (+ b c) d))
0.0b
(sqrt (+ (+ b c) d))

rewrite444.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
40×*-un-lft-identity
32×sqrt-prod
24×associate-*r* associate-*l*
18×sqrt-div
15×add-cube-cbrt distribute-lft-out
14×unswap-sqr
13×pow1
11×add-cbrt-cube add-exp-log
10×associate-*r/
9×flip3-+ flip-+
4×frac-times pow-prod-down prod-exp cbrt-unprod insert-posit16 add-log-exp
3×*-commutative
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/
Calls
4 calls:
Slowest
358.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))
42.0ms
(* a (sqrt (+ (+ b c) d)))
22.0ms
(sqrt (+ (+ b c) d))
18.0ms
(sqrt (+ (+ b c) d))

series362.0ms

Calls
4 calls:
Slowest
105.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))
101.0ms
(* a (sqrt (+ (+ b c) d)))
79.0ms
(sqrt (+ (+ b c) d))
76.0ms
(sqrt (+ (+ b c) d))

simplify6.5s

Calls
102 calls:
Slowest
552.0ms
(* (* (* a a) a) (* (* (sqrt (+ (+ b c) d)) (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d))))
465.0ms
(* (* a (sqrt (+ (pow (+ b c) 3) (pow d 3)))) (sqrt (- (* (+ b c) (+ b c)) (* d d))))
368.0ms
(* (* a (sqrt (- (* (+ b c) (+ b c)) (* d d)))) (sqrt (+ (pow (+ b c) 3) (pow d 3))))
325.0ms
(* (sqrt (- (+ b c) d)) (sqrt (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))))
318.0ms
(* (sqrt (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))) (sqrt (- (+ b c) d)))

prune1.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes368.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
535.0ms8000×pre80true
494.0ms8000×body80valid