Details

Time bar (total: 10.9s)

sample48.0ms

Algorithm
intervals
Results
17.0ms256×pre80true
15.0ms256×body80valid

simplify33.0ms

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: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ b c) d)
0.1b
(* a (+ (+ b c) d))

rewrite89.0ms

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:
31.0ms
(+ (+ b c) d)
57.0ms
(* a (+ (+ b c) d))

series59.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(+ (+ b c) d)
39.0ms
(* a (+ (+ b c) d))

simplify1.1s

Counts
47 → 47
Iterations
IterNodes
33827
2709
1180
068

prune339.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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:
16.0ms
(+ (* (+ b c) a) (* d a))
16.0ms
(* (+ b c) a)

series72.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ (* (+ b c) a) (* d a))
35.0ms
(* (+ b c) a)

simplify981.0ms

Counts
41 → 41
Iterations
IterNodes
32690
2690
1198
071

prune283.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ b c))
0.0b
(+ (* (sqrt (+ b c)) (* (sqrt (+ b c)) a)) (* d a))
0.2b
(* (sqrt (+ b c)) a)
0.3b
(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity sqrt-div
15×add-sqr-sqrt
14×associate-*l*
13×sqrt-prod
12×pow1
11×add-cbrt-cube add-exp-log
10×associate-*l/ add-cube-cbrt
9×flip3-+ flip-+
6×add-log-exp
4×frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16
3×distribute-lft-out
2×associate-*r/ *-commutative unswap-sqr
1×+-commutative rem-sqrt-square sum-log sqrt-pow1 pow1/2
Counts
4 → 86
Calls
4 calls:
7.0ms
(sqrt (+ b c))
45.0ms
(+ (* (sqrt (+ b c)) (* (sqrt (+ b c)) a)) (* d a))
27.0ms
(* (sqrt (+ b c)) a)
51.0ms
(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))

series280.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(sqrt (+ b c))
89.0ms
(+ (* (sqrt (+ b c)) (* (sqrt (+ b c)) a)) (* d a))
77.0ms
(* (sqrt (+ b c)) a)
62.0ms
(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))

simplify1.7s

Counts
98 → 98
Iterations
IterNodes
34076
21230
1415
0158

prune873.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
0.5b
(cbrt a)
0.6b
(* (cbrt a) (cbrt a))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 77
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
7.0ms
(* (cbrt a) (cbrt a))

series1.2s

Counts
4 → 12
Calls
4 calls:
266.0ms
(cbrt a)
227.0ms
(cbrt a)
190.0ms
(cbrt a)
550.0ms
(* (cbrt a) (cbrt a))

simplify1.0s

Counts
89 → 89
Iterations
IterNodes
42915
3833
2320
1131
063

prune964.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

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
210
110
07

end0.0ms

sample1.3s

Algorithm
intervals
Results
560.0ms8000×pre80true
545.0ms8000×body80valid