Details

Time bar (total: 31.4s)

sample58.0ms

Algorithm
intervals
Results
22.0ms256×pre80true
17.0ms256×body80valid

simplify125.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
125.0ms
(* a (+ (+ b c) d))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
7×add-sqr-sqrt distribute-lft-out add-log-exp
5×associate-*r* add-cube-cbrt
4×pow1 fma-def add-cbrt-cube add-exp-log
3×sum-log associate-*l*
2×expm1-log1p-u flip3-+ associate-*r/ flip-+ insert-posit16 log1p-expm1-u
1×distribute-rgt-in +-commutative associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 49
Calls
2 calls:
Slowest
49.0ms
(* a (+ (+ b c) d))
38.0ms
(+ (+ b c) d)

series58.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
33.0ms
(* a (+ (+ b c) d))
25.0ms
(+ (+ b c) d)

simplify1.3s

Counts
28 → 55
Calls
28 calls:
Slowest
374.0ms
(* (* (* a a) a) (* (* (+ (+ b c) d) (+ (+ b c) d)) (+ (+ b c) d)))
252.0ms
(+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))
115.0ms
(+ (* a d) (+ (* a b) (* a c)))
90.0ms
(* a (+ (+ b c) d))
80.0ms
(+ (* a d) (+ (* a b) (* a c)))

prune439.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
13×add-sqr-sqrt
12×associate-*l*
10×pow1 add-cbrt-cube add-exp-log
9×add-cube-cbrt
8×add-log-exp
7×sqrt-prod distribute-lft-out
6×associate-*r* associate-*r/
5×distribute-rgt-in distribute-lft-in
4×fma-def pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u sum-log flip3-+ flip-+ insert-posit16 log1p-expm1-u
2×*-commutative unswap-sqr
1×+-commutative associate-+l+
Counts
3 → 83
Calls
3 calls:
Slowest
114.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))
76.0ms
(* (sqrt a) (+ (+ b c) d))
36.0ms
(+ (+ b c) d)

series275.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
154.0ms
(* (sqrt a) (+ (+ b c) d))
93.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))
28.0ms
(+ (+ b c) d)

simplify3.5s

Counts
54 → 92
Calls
54 calls:
Slowest
513.0ms
(* (* (* (sqrt a) (sqrt a)) (sqrt a)) (* (* (* (sqrt a) (sqrt a)) (sqrt a)) (* (* (+ (+ b c) d) (+ (+ b c) d)) (+ (+ b c) d))))
501.0ms
(* (* (* (sqrt a) (sqrt a)) (sqrt a)) (* (* (* (sqrt a) (+ (+ b c) d)) (* (sqrt a) (+ (+ b c) d))) (* (sqrt a) (+ (+ b c) d))))
342.0ms
(+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))
338.0ms
(+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))
336.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

prune838.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×pow1 *-un-lft-identity add-cbrt-cube associate-*r* add-exp-log
8×add-cube-cbrt
7×associate-*l* sqrt-prod
5×add-log-exp
4×pow-prod-down prod-exp associate-*r/ cbrt-unprod
3×expm1-log1p-u flip3-+ flip-+ insert-posit16 log1p-expm1-u
2×associate-*l/ *-commutative unswap-sqr
1×distribute-rgt-in +-commutative sum-log fma-def distribute-lft-in distribute-lft-out
Counts
3 → 71
Calls
3 calls:
Slowest
67.0ms
(* (* (sqrt a) (+ b c)) (sqrt a))
38.0ms
(+ (* (* (sqrt a) (+ b c)) (sqrt a)) (* a d))
22.0ms
(* (sqrt a) (+ b c))

series282.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
109.0ms
(* (sqrt a) (+ b c))
100.0ms
(+ (* (* (sqrt a) (+ b c)) (sqrt a)) (* a d))
73.0ms
(* (* (sqrt a) (+ b c)) (sqrt a))

simplify2.4s

Counts
46 → 80
Calls
46 calls:
Slowest
498.0ms
(+ (* b b) (- (* c c) (* b c)))
364.0ms
(* (exp (* (* (sqrt a) (+ b c)) (sqrt a))) (exp (* a d)))
281.0ms
(* (* (* (* (sqrt a) (+ b c)) (* (sqrt a) (+ b c))) (* (sqrt a) (+ b c))) (* (* (sqrt a) (sqrt a)) (sqrt a)))
247.0ms
(* (* (* (* (sqrt a) (sqrt a)) (sqrt a)) (* (* (+ b c) (+ b c)) (+ b c))) (* (* (sqrt a) (sqrt a)) (sqrt a)))
215.0ms
(* (* (sqrt a) (+ (pow b 3) (pow c 3))) (sqrt a))

prune804.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (sqrt (* (* (sqrt a) (+ b c)) (sqrt a))) (sqrt (* (* (sqrt a) (+ b c)) (sqrt a))))
0.3b
(* (* (sqrt a) (+ b c)) (sqrt a))
0.3b
(* (* (sqrt a) (+ b c)) (sqrt a))
0.3b
(* (sqrt a) (+ b c))

rewrite375.0ms

Algorithm
rewrite-expression-head
Rules
143×pow1
78×pow-prod-down
60×sqrt-pow1
21×add-sqr-sqrt
20×associate-*r* associate-*r/
18×add-cbrt-cube associate-*l/ add-exp-log
17×*-un-lft-identity pow-prod-up
15×add-cube-cbrt
14×sqrt-prod
12×pow1/2 sqrt-div associate-*l*
11×pow-sqr
9×flip3-+ flip-+
8×prod-exp cbrt-unprod
4×expm1-log1p-u frac-times swap-sqr *-commutative insert-posit16 log1p-expm1-u add-log-exp
3×unswap-sqr
1×pow2 distribute-rgt-in rem-square-sqrt distribute-lft-in pow-plus sqrt-unprod distribute-lft-out
Counts
4 → 159
Calls
4 calls:
Slowest
251.0ms
(* (sqrt (* (* (sqrt a) (+ b c)) (sqrt a))) (sqrt (* (* (sqrt a) (+ b c)) (sqrt a))))
48.0ms
(* (* (sqrt a) (+ b c)) (sqrt a))
41.0ms
(* (* (sqrt a) (+ b c)) (sqrt a))
30.0ms
(* (sqrt a) (+ b c))

series450.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
222.0ms
(* (sqrt (* (* (sqrt a) (+ b c)) (sqrt a))) (sqrt (* (* (sqrt a) (+ b c)) (sqrt a))))
87.0ms
(* (sqrt a) (+ b c))
73.0ms
(* (* (sqrt a) (+ b c)) (sqrt a))
68.0ms
(* (* (sqrt a) (+ b c)) (sqrt a))

simplify16.1s

Counts
173 → 171
Calls
173 calls:
Slowest
899.0ms
(* (* (* (sqrt (* (* (sqrt a) (+ b c)) (sqrt a))) (sqrt (* (* (sqrt a) (+ b c)) (sqrt a)))) (sqrt (* (* (sqrt a) (+ b c)) (sqrt a)))) (* (* (sqrt (* (* (sqrt a) (+ b c)) (sqrt a))) (sqrt (* (* (sqrt a) (+ b c)) (sqrt a)))) (sqrt (* (* (sqrt a) (+ b c)) (sqrt a)))))
772.0ms
(* (* (* (sqrt a) (+ b c)) (sqrt a)) (* (* (sqrt a) (+ b c)) (sqrt a)))
734.0ms
(* (* (* (sqrt a) (+ b c)) (sqrt a)) (* (* (sqrt a) (+ b c)) (sqrt a)))
702.0ms
(* (* (* (sqrt a) (+ b c)) (sqrt a)) (* (* (sqrt a) (+ b c)) (sqrt a)))
695.0ms
(* (* (* (sqrt a) (+ b c)) (sqrt a)) (* (* (sqrt a) (+ b c)) (sqrt a)))

prune1.9s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes346.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
507.0ms8000×pre80true
417.0ms8000×body80valid