Details

Time bar (total: 14.3s)

sample46.0ms

Algorithm
intervals
Results
18.0ms256×pre80true
15.0ms256×body80valid

simplify48.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
48.0ms
(* a (+ (+ b c) d))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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
93.0ms
(* a (+ (+ b c) d))

series30.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
30.0ms
(* a (+ (+ b c) d))

simplify1.1s

Counts
19 → 28
Calls
19 calls:
Slowest
446.0ms
(* (* (* a a) a) (* (* (+ (+ b c) d) (+ (+ b c) d)) (+ (+ b c) d)))
244.0ms
(+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))
76.0ms
(+ (* a d) (+ (* a b) (* a c)))
65.0ms
(* a (+ (+ b c) d))
47.0ms
(+ (* a d) (+ (* a b) (* a c)))

prune267.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+ insert-posit16 distribute-lft-out
1×+-commutative sum-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 39
Calls
2 calls:
Slowest
27.0ms
(* a (+ b c))
10.0ms
(+ (* a (+ b c)) (* a d))

series74.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
40.0ms
(+ (* a (+ b c)) (* a d))
34.0ms
(* a (+ b c))

simplify923.0ms

Counts
25 → 45
Calls
25 calls:
Slowest
398.0ms
(* (exp (* a (+ b c))) (exp (* a d)))
145.0ms
(* (* (* a a) a) (* (* (+ b c) (+ b c)) (+ b c)))
101.0ms
(+ (* b b) (- (* c c) (* b c)))
61.0ms
(+ (* a d) (+ (* a b) (* a c)))
54.0ms
(+ (* a d) (+ (* a b) (* a c)))

prune387.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
3×distribute-lft-out
2×add-sqr-sqrt pow1 +-commutative *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16
1×associate-+r+
Counts
2 → 28
Calls
2 calls:
Slowest
31.0ms
(+ (* a b) (+ (* a c) (* a d)))
14.0ms
(+ (* a c) (* a d))

series105.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
60.0ms
(+ (* a b) (+ (* a c) (* a d)))
45.0ms
(+ (* a c) (* a d))

simplify1.1s

Counts
12 → 34
Calls
12 calls:
Slowest
629.0ms
(* (exp (* a b)) (exp (+ (* a c) (* a d))))
185.0ms
(* (exp (* a c)) (exp (* a d)))
139.0ms
(* (exp (* a b)) (* (exp (* a c)) (exp (* a d))))
47.0ms
(+ (* a d) (+ (* a b) (* a c)))
40.0ms
(+ (* a d) (+ (* a b) (* a c)))

prune328.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

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))

rewrite270.0ms

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
133.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))
84.0ms
(* a (sqrt (+ (+ b c) d)))
30.0ms
(sqrt (+ (+ b c) d))
18.0ms
(sqrt (+ (+ b c) d))

series388.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
128.0ms
(* a (sqrt (+ (+ b c) d)))
122.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))
70.0ms
(sqrt (+ (+ b c) d))
66.0ms
(sqrt (+ (+ b c) d))

simplify5.9s

Counts
75 → 107
Calls
75 calls:
Slowest
654.0ms
(* (* (* a a) a) (* (* (sqrt (+ (+ b c) d)) (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d))))
423.0ms
(* (* a (sqrt (- (* (+ b c) (+ b c)) (* d d)))) (sqrt (+ (pow (+ b c) 3) (pow d 3))))
396.0ms
(* (* a (sqrt (+ (pow (+ b c) 3) (pow d 3)))) (sqrt (- (* (+ b c) (+ b c)) (* d d))))
294.0ms
(* (sqrt (- (+ b c) d)) (sqrt (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))))
282.0ms
(* (* (* (* 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

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes373.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample1.7s

Algorithm
intervals
Results
928.0ms8000×body80valid
591.0ms8000×pre80true