Details

Time bar (total: 9.1s)

sample25.0ms

Algorithm
intervals
Results
6.0ms256×pre80true
6.0ms256×body80valid

simplify56.0ms

Counts
1 → 1
Iterations
IterNodes
done117
5117
4113
376
241
118
07

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

0.1b
(* a (+ (+ b c) d))

rewrite74.0ms

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-+ log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 26
Calls
1 calls:
73.0ms
(* a (+ (+ b c) d))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(* a (+ (+ b c) d))

simplify846.0ms

Counts
29 → 29
Iterations
IterNodes
done5000
2764
1170
054

prune148.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* a (+ (+ b c) d))
0.1b
(sqrt (* a (+ (+ b c) d)))
0.1b
(sqrt (* a (+ (+ b c) d)))
0.5b
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

rewrite295.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*r/
16×sqrt-div
15×*-un-lft-identity
14×add-sqr-sqrt
12×pow1/2
10×pow-prod-up add-cube-cbrt
9×flip3-+ associate-*r* flip-+
8×add-cbrt-cube add-exp-log
7×associate-*l*
6×pow-sqr sqrt-prod
4×expm1-log1p-u frac-times swap-sqr log1p-expm1-u add-log-exp
3×distribute-lft-out
2×associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 distribute-rgt-in rem-square-sqrt distribute-lft-in pow-plus sqrt-unprod
Counts
4 → 115
Calls
4 calls:
67.0ms
(* a (+ (+ b c) d))
26.0ms
(sqrt (* a (+ (+ b c) d)))
25.0ms
(sqrt (* a (+ (+ b c) d)))
174.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

series560.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* a (+ (+ b c) d))
234.0ms
(sqrt (* a (+ (+ b c) d)))
238.0ms
(sqrt (* a (+ (+ b c) d)))
43.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

simplify1.3s

Counts
127 → 127
Iterations
IterNodes
done5000
21977
1393
0141

prune596.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma a (+ b c) (* a d))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(fma a (+ b c) (* a d))

simplify1.3s

Counts
13 → 13
Iterations
IterNodes
done5001
3792
2118
137
022

prune69.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite161.0ms

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×expm1-log1p-u flip3-+ *-commutative flip-+ log1p-expm1-u add-log-exp unswap-sqr
Counts
2 → 59
Calls
2 calls:
62.0ms
(* (sqrt a) (+ (+ b c) d))
97.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

series191.0ms

Counts
2 → 6
Calls
2 calls:
121.0ms
(* (sqrt a) (+ (+ b c) d))
69.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

simplify1.4s

Counts
65 → 65
Iterations
IterNodes
done5001
21772
1303
095

prune293.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes477.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done9
19
07

end0.0ms

sample1.2s

Algorithm
intervals
Results
617.0ms8000×pre80true
243.0ms8000×body80valid