Details

Time bar (total: 10.8s)

sample47.0ms

Algorithm
intervals
Results
20.0ms256×pre80true
12.0ms256×body80valid

simplify29.0ms

Counts
1 → 1
Iterations
IterNodes
done64
464
361
238
118
07

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

rewrite72.0ms

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:
18.0ms
(+ (+ b c) d)
53.0ms
(* a (+ (+ b c) d))

series48.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(+ (+ b c) d)
32.0ms
(* a (+ (+ b c) d))

simplify746.0ms

Counts
47 → 47
Iterations
IterNodes
done2006
32006
2806
1198
068

prune278.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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 distribute-rgt-out pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 35
Calls
2 calls:
18.0ms
(* (+ b c) a)
12.0ms
(+ (* (+ b c) a) (* d a))

series68.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(* (+ b c) a)
44.0ms
(+ (* (+ b c) a) (* d a))

simplify778.0ms

Counts
41 → 41
Iterations
IterNodes
done2001
32001
2683
1200
071

prune387.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite132.0ms

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×flip3-+ flip-+ insert-posit16
2×*-commutative unswap-sqr
1×+-commutative sum-log distribute-lft-out
Counts
3 → 62
Calls
3 calls:
49.0ms
(+ (* (* (+ b c) (sqrt a)) (sqrt a)) (* d a))
27.0ms
(* (+ b c) (sqrt a))
55.0ms
(* (* (+ b c) (sqrt a)) (sqrt a))

series188.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(+ (* (* (+ b c) (sqrt a)) (sqrt a)) (* d a))
73.0ms
(* (+ b c) (sqrt a))
54.0ms
(* (* (+ b c) (sqrt a)) (sqrt a))

simplify1.1s

Counts
71 → 71
Iterations
IterNodes
done2003
32003
21145
1307
0108

prune585.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (- (* d a) (* (+ b c) a)) (* d a))
0.4b
(* (* (+ b c) a) (* (+ b c) a))
0.4b
(* (* (+ b c) a) (* (+ b c) a))
16.1b
(/ (+ (* (* (* (+ b c) a) (* (+ b c) a)) (* (+ b c) a)) (* (* (* d a) (* d a)) (* d a))) (+ (* (- (* d a) (* (+ b c) a)) (* d a)) (* (* (+ b c) a) (* (+ b c) a))))

rewrite916.0ms

Algorithm
rewrite-expression-head
Rules
87×pow1
74×associate-*l/
37×pow-prod-down
35×add-cbrt-cube add-exp-log
26×flip3-+ flip-+
19×prod-exp cbrt-unprod
18×associate-/r/
16×frac-times frac-add
14×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×times-frac
9×flip3-- flip--
8×pow3 associate-*r/ pow-sqr pow-prod-up
6×associate-*l*
4×pow-plus sum-cubes insert-posit16 associate-/l* add-log-exp
3×associate-/r* associate-*r* *-commutative
2×pow2 swap-sqr associate-/l/
1×cbrt-undiv clear-num frac-2neg distribute-rgt-out-- div-exp div-inv
Counts
4 → 160
Calls
4 calls:
53.0ms
(* (- (* d a) (* (+ b c) a)) (* d a))
73.0ms
(* (* (+ b c) a) (* (+ b c) a))
47.0ms
(* (* (+ b c) a) (* (+ b c) a))
738.0ms
(/ (+ (* (* (* (+ b c) a) (* (+ b c) a)) (* (+ b c) a)) (* (* (* d a) (* d a)) (* d a))) (+ (* (- (* d a) (* (+ b c) a)) (* d a)) (* (* (+ b c) a) (* (+ b c) a))))

series396.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* (- (* d a) (* (+ b c) a)) (* d a))
42.0ms
(* (* (+ b c) a) (* (+ b c) a))
35.0ms
(* (* (+ b c) a) (* (+ b c) a))
248.0ms
(/ (+ (* (* (* (+ b c) a) (* (+ b c) a)) (* (+ b c) a)) (* (* (* d a) (* d a)) (* d a))) (+ (* (- (* d a) (* (+ b c) a)) (* d a)) (* (* (+ b c) a) (* (+ b c) a))))

simplify1.1s

Counts
172 → 172
Iterations
IterNodes
done2002
22002
1780
0265

prune2.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes270.0ms

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
done10
110
07

end0.0ms

sample1.5s

Algorithm
intervals
Results
754.0ms8000×body80valid
524.0ms8000×pre80true