Details

Time bar (total: 11.4s)

sample64.0ms

Algorithm
intervals
Results
22.0ms256×pre80true
18.0ms256×body80valid

simplify49.0ms

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

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite94.0ms

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:
19.0ms
(+ (+ b c) d)
75.0ms
(* a (+ (+ b c) d))

series66.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(+ (+ b c) d)
40.0ms
(* a (+ (+ b c) d))

simplify1.1s

Counts
47 → 47
Iterations
IterNodes
done2006
32006
2806
1198
068

prune438.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

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:
22.0ms
(+ (* (+ b c) a) (* d a))
23.0ms
(* (+ b c) a)

series78.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ (* (+ b c) a) (* d a))
42.0ms
(* (+ b c) a)

simplify1.5s

Counts
41 → 41
Iterations
IterNodes
done2001
32001
2687
1199
071

prune369.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

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))

rewrite145.0ms

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:
9.0ms
(sqrt (+ b c))
62.0ms
(+ (* (sqrt (+ b c)) (* (sqrt (+ b c)) a)) (* d a))
20.0ms
(* (sqrt (+ b c)) a)
51.0ms
(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))

series272.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(sqrt (+ b c))
67.0ms
(+ (* (sqrt (+ b c)) (* (sqrt (+ b c)) a)) (* d a))
85.0ms
(* (sqrt (+ b c)) a)
75.0ms
(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))

simplify1.1s

Counts
98 → 98
Iterations
IterNodes
done2000
32000
21259
1416
0158

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize50.0ms

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))

rewrite21.0ms

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)
15.0ms
(* (cbrt a) (cbrt a))

series1.1s

Counts
4 → 12
Calls
4 calls:
267.0ms
(cbrt a)
305.0ms
(cbrt a)
288.0ms
(cbrt a)
244.0ms
(* (cbrt a) (cbrt a))

simplify919.0ms

Counts
89 → 89
Iterations
IterNodes
done2005
42005
31035
2349
1137
063

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes448.0ms

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
done10
110
07

end0.0ms

sample1.3s

Algorithm
intervals
Results
540.0ms8000×pre80true
464.0ms8000×body80valid