Details

Time bar (total: 8.8s)

sample34.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
11.0ms256×pre80true

simplify38.0ms

Calls
1 calls:
Slowest
38.0ms
(* 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))

rewrite5.0ms

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

series22.0ms

Calls
1 calls:
Slowest
22.0ms
(* a (+ (+ b c) d))

simplify368.0ms

Calls
10 calls:
Slowest
203.0ms
(+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))
44.0ms
(+ (* a d) (+ (* a b) (* a c)))
44.0ms
(+ (* a d) (+ (* a b) (* a c)))
23.0ms
(+ (+ b c) d)
22.0ms
(sqrt (+ (+ b c) d))

prune135.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
4×add-log-exp
3×add-sqr-sqrt *-un-lft-identity associate-*r* add-cube-cbrt
2×distribute-rgt-in pow1 associate-+l+ distribute-lft-in flip3-+ add-cbrt-cube associate-*r/ add-exp-log flip-+ insert-posit16
1×+-commutative sum-log *-commutative distribute-lft-out
Calls
2 calls:
Slowest
4.0ms
(+ (* a (+ b c)) (* a d))
1.0ms
(* a (+ b c))

series46.0ms

Calls
2 calls:
Slowest
28.0ms
(+ (* a (+ b c)) (* a d))
18.0ms
(* a (+ b c))

simplify377.0ms

Calls
17 calls:
Slowest
126.0ms
(* (exp (* a (+ b c))) (exp (* a d)))
79.0ms
(+ (* b b) (- (* c c) (* b c)))
58.0ms
(+ (* a d) (+ (* a b) (* a c)))
39.0ms
(+ (* a d) (+ (* a b) (* a c)))
17.0ms
(+ (* a b) (* a c))

prune269.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×add-sqr-sqrt pow1 +-commutative *-un-lft-identity flip3-+ distribute-rgt-out add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16
1×associate-+l+ distribute-lft-out
Calls
2 calls:
Slowest
10.0ms
(+ (+ (* b a) (* c a)) (* a d))
3.0ms
(+ (* b a) (* c a))

series46.0ms

Calls
2 calls:
Slowest
24.0ms
(+ (* b a) (* c a))
22.0ms
(+ (+ (* b a) (* c a)) (* a d))

simplify328.0ms

Calls
12 calls:
Slowest
103.0ms
(* (exp (+ (* b a) (* c a))) (exp (* a d)))
81.0ms
(* (* (exp (* b a)) (exp (* c a))) (exp (* a d)))
38.0ms
(+ (* a d) (+ (* a b) (* a c)))
37.0ms
(+ (* a d) (+ (* a b) (* a c)))
19.0ms
(* (exp (* b a)) (exp (* c a)))

prune253.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

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))

rewrite36.0ms

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
16.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))
7.0ms
(sqrt (+ (+ b c) d))
6.0ms
(sqrt (+ (+ b c) d))
5.0ms
(* a (sqrt (+ (+ b c) d)))

series167.0ms

Calls
4 calls:
Slowest
59.0ms
(* a (sqrt (+ (+ b c) d)))
52.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))
29.0ms
(sqrt (+ (+ b c) d))
26.0ms
(sqrt (+ (+ b c) d))

simplify4.5s

Calls
53 calls:
Slowest
437.0ms
(* (* a (sqrt (+ (pow (+ b c) 3) (pow d 3)))) (sqrt (+ (+ b c) d)))
435.0ms
(* (* a (sqrt (+ (pow (+ b c) 3) (pow d 3)))) (sqrt (+ (pow (+ b c) 3) (pow d 3))))
393.0ms
(sqrt (+ (pow (+ b c) 3) (pow d 3)))
369.0ms
(sqrt (+ (pow (+ b c) 3) (pow d 3)))
285.0ms
(* (* a (sqrt (- (* (+ b c) (+ b c)) (* d d)))) (sqrt (+ (pow (+ b c) 3) (pow d 3))))

prune678.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes343.0ms

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
446.0ms8000×pre80true
429.0ms8000×body80valid