Details

Time bar (total: 11.2s)

sample30.0ms

Algorithm
intervals
Results
11.0ms256×pre80true
9.0ms256×body80valid

simplify65.0ms

Calls
1 calls:
Slowest
65.0ms
(* a (+ (+ b c) d))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
3×associate-*r*
2×add-sqr-sqrt *-un-lft-identity associate-*r/ add-cube-cbrt
1×distribute-rgt-in pow1 distribute-lft-in flip3-+ add-cbrt-cube add-exp-log *-commutative flip-+ insert-posit16 add-log-exp
Calls
1 calls:
Slowest
9.0ms
(* a (+ (+ b c) d))

series27.0ms

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

simplify464.0ms

Calls
10 calls:
Slowest
244.0ms
(+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))
77.0ms
(+ (* a d) (+ (* a b) (* a c)))
60.0ms
(+ (* a d) (+ (* a b) (* a c)))
28.0ms
(- (+ b c) d)
18.0ms
(sqrt (+ (+ b c) d))

prune192.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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
5.0ms
(+ (* (+ b c) a) (* d a))
4.0ms
(* (+ b c) a)

series43.0ms

Calls
2 calls:
Slowest
28.0ms
(+ (* (+ b c) a) (* d a))
15.0ms
(* (+ b c) a)

simplify529.0ms

Calls
12 calls:
Slowest
159.0ms
(* (exp (* (+ b c) a)) (exp (* d a)))
147.0ms
(* (- (* b b) (* c c)) a)
62.0ms
(+ (* a d) (+ (* a b) (* a c)))
48.0ms
(+ (* a d) (+ (* a b) (* a c)))
48.0ms
(* (+ (pow b 3) (pow c 3)) a)

prune293.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
16×sqrt-div
12×associate-*l*
10×add-sqr-sqrt associate-*l/
9×*-un-lft-identity flip3-+ add-cube-cbrt sqrt-prod flip-+
6×pow1 add-cbrt-cube add-exp-log add-log-exp
4×frac-times insert-posit16
2×associate-*r/ *-commutative
1×+-commutative rem-sqrt-square sum-log pow1/2 associate-*r* pow-prod-down prod-exp cbrt-unprod
Calls
4 calls:
Slowest
24.0ms
(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))
11.0ms
(+ (* (sqrt (+ b c)) (* (sqrt (+ b c)) a)) (* d a))
4.0ms
(* (sqrt (+ b c)) a)
1.0ms
(sqrt (+ b c))

series145.0ms

Calls
4 calls:
Slowest
46.0ms
(* (sqrt (+ b c)) a)
45.0ms
(+ (* (sqrt (+ b c)) (* (sqrt (+ b c)) a)) (* d a))
34.0ms
(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))
21.0ms
(sqrt (+ b c))

simplify2.1s

Calls
46 calls:
Slowest
528.0ms
(* (* (* (sqrt (+ b c)) (sqrt (+ b c))) (sqrt (+ b c))) (* (* (* (sqrt (+ b c)) a) (* (sqrt (+ b c)) a)) (* (sqrt (+ b c)) a)))
142.0ms
(* (sqrt (- (* b b) (* c c))) (* (sqrt (+ (pow b 3) (pow c 3))) a))
139.0ms
(* (exp (* (sqrt (+ b c)) (* (sqrt (+ b c)) a))) (exp (* d a)))
139.0ms
(* (sqrt (+ (pow b 3) (pow c 3))) (* (sqrt (- (* b b) (* c c))) a))
128.0ms
(* (sqrt (- (* b b) (* c c))) (* (sqrt (- (* b b) (* c c))) a))

prune760.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ b c))
0.6b
(cbrt (+ b c))
0.6b
(cbrt (+ b c))
0.5b
(* (cbrt (+ b c)) (cbrt (+ b c)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
15×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×pow1 flip3-+ flip-+
7×pow1/3
6×associate-*r* associate-*l* add-exp-log
4×frac-times add-cbrt-cube insert-posit16 add-log-exp
2×pow-prod-down associate-*l/ associate-*r/ pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
12.0ms
(* (cbrt (+ b c)) (cbrt (+ b c)))
1.0ms
(cbrt (+ b c))
1.0ms
(cbrt (+ b c))
1.0ms
(cbrt (+ b c))

series618.0ms

Calls
4 calls:
Slowest
193.0ms
(* (cbrt (+ b c)) (cbrt (+ b c)))
159.0ms
(cbrt (+ b c))
143.0ms
(cbrt (+ b c))
123.0ms
(cbrt (+ b c))

simplify2.8s

Calls
59 calls:
Slowest
350.0ms
(- (+ (* 1/3 (* b (pow (/ 1 (pow c 2)) 1/3))) (pow c 1/3)) (* 1/9 (* (pow b 2) (pow (/ 1 (pow c 5)) 1/3))))
343.0ms
(- (+ (* 1/3 (* b (pow (/ 1 (pow c 2)) 1/3))) (pow c 1/3)) (* 1/9 (* (pow b 2) (pow (/ 1 (pow c 5)) 1/3))))
305.0ms
(- (+ (* 1/3 (* b (pow (/ 1 (pow c 2)) 1/3))) (pow c 1/3)) (* 1/9 (* (pow b 2) (pow (/ 1 (pow c 5)) 1/3))))
262.0ms
(- (+ (* 2/3 (* b (pow (/ 1 c) 1/3))) (pow c 2/3)) (* 1/9 (* (pow b 2) (pow (/ 1 (pow c 4)) 1/3))))
141.0ms
(* (cbrt (- (* b b) (* c c))) (cbrt (+ (pow b 3) (pow c 3))))

prune985.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes393.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
542.0ms8000×pre80true
423.0ms8000×body80valid