Details

Time bar (total: 10.5s)

sample49.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
16.0ms256×pre80true

simplify54.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
7×add-log-exp
6×add-sqr-sqrt distribute-lft-out
5×associate-*r*
4×pow1 add-cbrt-cube add-exp-log add-cube-cbrt
3×sum-log associate-*l*
2×flip3-+ associate-*r/ flip-+ insert-posit16
1×distribute-rgt-in +-commutative associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 41
Calls
2 calls:
Slowest
65.0ms
(* a (+ (+ b c) d))
26.0ms
(+ (+ b c) d)

series60.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
38.0ms
(* a (+ (+ b c) d))
21.0ms
(+ (+ b c) d)

simplify1.0s

Counts
47 → 47

prune602.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (sqrt (+ (+ b c) d)) (sqrt (+ (+ b c) d)))
0.0b
(* a (* (sqrt (+ (+ b c) d)) (sqrt (+ (+ b c) d))))
0.0b
(sqrt (+ (+ b c) d))
0.0b
(sqrt (+ (+ b c) d))

rewrite243.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
48×sqrt-prod
30×add-sqr-sqrt distribute-lft-out
28×sqrt-div
26×pow1
16×swap-sqr
15×add-cube-cbrt
14×flip3-+ flip-+
12×associate-*r/
11×add-cbrt-cube associate-*l* add-exp-log
10×sqrt-pow1 pow1/2
9×associate-*r*
8×frac-times
6×pow-prod-down
5×pow-prod-up unswap-sqr
4×associate-*l/ prod-exp cbrt-unprod insert-posit16 add-log-exp
3×pow-sqr
2×rem-sqrt-square *-commutative
1×pow2 rem-square-sqrt pow-plus sqrt-unprod
Counts
4 → 134
Calls
4 calls:
Slowest
91.0ms
(* a (* (sqrt (+ (+ b c) d)) (sqrt (+ (+ b c) d))))
88.0ms
(* (sqrt (+ (+ b c) d)) (sqrt (+ (+ b c) d)))
30.0ms
(sqrt (+ (+ b c) d))
30.0ms
(sqrt (+ (+ b c) d))

series243.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
77.0ms
(* a (* (sqrt (+ (+ b c) d)) (sqrt (+ (+ b c) d))))
59.0ms
(* (sqrt (+ (+ b c) d)) (sqrt (+ (+ b c) d)))
56.0ms
(sqrt (+ (+ b c) d))
50.0ms
(sqrt (+ (+ b c) d))

simplify1.5s

Counts
146 → 146

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity associate-*l*
11×add-sqr-sqrt
9×pow1 add-cbrt-cube add-exp-log
7×add-cube-cbrt sqrt-prod
6×associate-*r* associate-*r/
5×distribute-rgt-in distribute-lft-in
4×pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out
2×flip3-+ *-commutative flip-+ insert-posit16 add-log-exp unswap-sqr
Counts
2 → 57
Calls
2 calls:
Slowest
49.0ms
(* (sqrt a) (* (sqrt a) (+ c (+ d b))))
39.0ms
(* (sqrt a) (+ c (+ d b)))

series198.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
127.0ms
(* (sqrt a) (+ c (+ d b)))
71.0ms
(* (sqrt a) (* (sqrt a) (+ c (+ d b))))

simplify2.1s

Counts
63 → 63

prune483.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

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 pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 34
Calls
2 calls:
Slowest
14.0ms
(* (+ d b) a)
8.0ms
(+ (* a c) (* (+ d b) a))

series77.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
43.0ms
(+ (* a c) (* (+ d b) a))
35.0ms
(* (+ d b) a)

simplify742.0ms

Counts
40 → 40

prune287.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes287.0ms

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
513.0ms8000×pre80true
366.0ms8000×body80valid