Details

Time bar (total: 13.0s)

sample44.0ms

Algorithm
intervals
Results
14.0ms256×pre80true
12.0ms256×body80valid

simplify108.0ms

Counts
1 → 1

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 1 expressions with local error:

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

rewrite76.0ms

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 expm1-log1p-u distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 27
Calls
1 calls:
Slowest
75.0ms
(* a (+ (+ b c) d))

series34.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
34.0ms
(* a (+ (+ b c) d))

simplify1.1s

Counts
30 → 30

prune439.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

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×expm1-log1p-u flip3-+ associate-*l/ flip-+ insert-posit16 log1p-expm1-u
1×+-commutative sum-log fma-def distribute-rgt-out pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 40
Calls
2 calls:
Slowest
29.0ms
(* (+ b c) a)
26.0ms
(+ (* (+ b c) a) (* d a))

series75.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
50.0ms
(+ (* (+ b c) a) (* d a))
25.0ms
(* (+ b c) a)

simplify1.1s

Counts
46 → 46

prune488.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.4b
(* (* (+ b c) (sqrt a)) (sqrt a))
0.3b
(* (+ b c) (sqrt a))
0.0b
(+ (* (* (+ b c) (sqrt a)) (sqrt a)) (* d a))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt associate-*r*
10×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
8×add-cube-cbrt
7×sqrt-prod
6×associate-*l/
5×associate-*l* add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u flip3-+ flip-+ insert-posit16 log1p-expm1-u
2×*-commutative unswap-sqr
1×+-commutative sum-log fma-def distribute-lft-out
Counts
3 → 69
Calls
3 calls:
Slowest
48.0ms
(+ (* (* (+ b c) (sqrt a)) (sqrt a)) (* d a))
30.0ms
(* (* (+ b c) (sqrt a)) (sqrt a))
19.0ms
(* (+ b c) (sqrt a))

series194.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
78.0ms
(+ (* (* (+ b c) (sqrt a)) (sqrt a)) (* d a))
68.0ms
(* (+ b c) (sqrt a))
48.0ms
(* (* (+ b c) (sqrt a)) (sqrt a))

simplify1.8s

Counts
78 → 78

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 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)))
0.2b
(* a (sqrt (+ (+ b c) d)))
0.0b
(sqrt (+ (+ b c) d))
0.0b
(sqrt (+ (+ b c) d))

rewrite315.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
21×add-sqr-sqrt sqrt-prod
18×sqrt-div
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×expm1-log1p-u frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative hypot-def unswap-sqr
Counts
4 → 105
Calls
4 calls:
Slowest
179.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))
72.0ms
(* a (sqrt (+ (+ b c) d)))
38.0ms
(sqrt (+ (+ b c) d))
24.0ms
(sqrt (+ (+ b c) d))

series331.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
109.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))
100.0ms
(* a (sqrt (+ (+ b c) d)))
68.0ms
(sqrt (+ (+ b c) d))
53.0ms
(sqrt (+ (+ b c) d))

simplify1.5s

Counts
117 → 117

prune1.7s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes594.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.7s

Algorithm
intervals
Results
846.0ms8000×body80valid
558.0ms8000×pre80true