Details

Time bar (total: 14.3s)

sample37.0ms

Algorithm
intervals
Results
12.0ms256×pre80true
12.0ms256×body80valid

simplify80.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
80.0ms
(* a (+ (+ b c) d))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 1 expressions with local error:

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

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt distribute-lft-out
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ insert-posit16 add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
Slowest
92.0ms
(* a (+ (+ b c) d))

series50.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
50.0ms
(* a (+ (+ b c) d))

simplify1.1s

Counts
19 → 28
Calls
19 calls:
Slowest
362.0ms
(* (* (* a a) a) (* (* (+ (+ b c) d) (+ (+ b c) d)) (+ (+ b c) d)))
289.0ms
(+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))
78.0ms
(+ (* a d) (+ (* a b) (* a c)))
77.0ms
(+ (* a d) (+ (* a b) (* a c)))
55.0ms
(* a (+ (+ b c) d))

prune229.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt add-log-exp
3×associate-*r*
2×flip3-+ associate-*l/ flip-+ insert-posit16
1×+-commutative sum-log distribute-rgt-out pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 35
Calls
2 calls:
Slowest
21.0ms
(+ (* (+ b c) a) (* d a))
19.0ms
(* (+ b c) a)

series80.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
41.0ms
(* (+ b c) a)
39.0ms
(+ (* (+ b c) a) (* d a))

simplify1.4s

Counts
19 → 41
Calls
19 calls:
Slowest
527.0ms
(* (* (* (+ b c) (+ b c)) (+ b c)) (* (* a a) a))
252.0ms
(* (exp (* (+ b c) a)) (exp (* d a)))
211.0ms
(* (- (* b b) (* c c)) a)
190.0ms
(* (+ (pow b 3) (pow c 3)) a)
48.0ms
(+ (* a d) (+ (* a b) (* a c)))

prune451.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt distribute-lft-out
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ insert-posit16 add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
Slowest
58.0ms
(* a (+ (+ b c) d))

series41.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
41.0ms
(* a (+ (+ b c) d))

simplify975.0ms

Counts
19 → 28
Calls
19 calls:
Slowest
359.0ms
(* (* (* a a) a) (* (* (+ (+ b c) d) (+ (+ b c) d)) (+ (+ b c) d)))
263.0ms
(+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))
77.0ms
(+ (* a d) (+ (* a b) (* a c)))
57.0ms
(* a (+ (+ b c) d))
52.0ms
(+ (* a d) (+ (* a b) (* a c)))

prune299.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 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))

rewrite258.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
21×sqrt-prod
18×sqrt-div
17×add-sqr-sqrt
16×associate-*r*
13×pow1
12×distribute-lft-out
11×add-cbrt-cube add-exp-log add-cube-cbrt
10×associate-*r/
9×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16 add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 95
Calls
4 calls:
Slowest
129.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))
66.0ms
(* a (sqrt (+ (+ b c) d)))
36.0ms
(sqrt (+ (+ b c) d))
25.0ms
(sqrt (+ (+ b c) d))

series348.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
129.0ms
(* a (sqrt (+ (+ b c) d)))
89.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))
65.0ms
(sqrt (+ (+ b c) d))
65.0ms
(sqrt (+ (+ b c) d))

simplify5.7s

Counts
75 → 107
Calls
75 calls:
Slowest
595.0ms
(* (* (* a a) a) (* (* (sqrt (+ (+ b c) d)) (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d))))
407.0ms
(* (* a (sqrt (- (* (+ b c) (+ b c)) (* d d)))) (sqrt (+ (pow (+ b c) 3) (pow d 3))))
379.0ms
(* (* a (sqrt (+ (pow (+ b c) 3) (pow d 3)))) (sqrt (- (* (+ b c) (+ b c)) (* d d))))
317.0ms
(* (sqrt (- (+ b c) d)) (sqrt (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))))
291.0ms
(* (* (* (* a (sqrt (+ (+ b c) d))) (* a (sqrt (+ (+ b c) d)))) (* a (sqrt (+ (+ b c) d)))) (* (* (sqrt (+ (+ b c) d)) (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d))))

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes296.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
843.0ms8000×body80valid
568.0ms8000×pre80true