Details

Time bar (total: 8.6s)

sample41.0ms

Algorithm
intervals
Results
14.0ms256×pre80true
12.0ms256×body80valid

simplify45.0ms

Counts
1 → 1
Iterations
IterNodes
564
464
361
238
118
07

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite68.0ms

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 distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ insert-posit16 add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
68.0ms
(* a (+ (+ b c) d))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(* a (+ (+ b c) d))

simplify771.0ms

Counts
28 → 28
Iterations
IterNodes
33158
2563
1148
053

prune234.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*l*
3×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt distribute-lft-out
2×associate-*l/
1×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ insert-posit16 add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
63.0ms
(* (+ (+ b c) d) a)

series34.0ms

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

simplify576.0ms

Counts
26 → 26
Iterations
IterNodes
32713
2489
1130
050

prune195.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 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))))

rewrite204.0ms

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×frac-times swap-sqr insert-posit16 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 → 111
Calls
4 calls:
45.0ms
(* a (+ (+ b c) d))
12.0ms
(sqrt (* a (+ (+ b c) d)))
12.0ms
(sqrt (* a (+ (+ b c) d)))
133.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

series518.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* a (+ (+ b c) d))
220.0ms
(sqrt (* a (+ (+ b c) d)))
214.0ms
(sqrt (* a (+ (+ b c) d)))
39.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

simplify1.5s

Counts
123 → 123
Iterations
IterNodes
35210
21122
1349
0138

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity associate-*r*
11×add-sqr-sqrt
9×pow1 add-cbrt-cube add-exp-log
7×add-cube-cbrt sqrt-prod
6×associate-*l* associate-*l/
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 → 51
Calls
2 calls:
82.0ms
(* (+ (+ b c) d) (sqrt a))
85.0ms
(* (* (+ (+ b c) d) (sqrt a)) (sqrt a))

series144.0ms

Counts
2 → 6
Calls
2 calls:
90.0ms
(* (+ (+ b c) d) (sqrt a))
54.0ms
(* (* (+ (+ b c) d) (sqrt a)) (sqrt a))

simplify1.1s

Counts
57 → 57
Iterations
IterNodes
33418
2883
1235
086

prune452.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes315.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
210
110
07

end0.0ms

sample1.1s

Algorithm
intervals
Results
422.0ms8000×body80valid
406.0ms8000×pre80true