Details

Time bar (total: 27.5s)

sample50.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
10.0ms256×pre80true

simplify147.0ms

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

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 1 expressions with local error:

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

rewrite215.0ms

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:
214.0ms
(* a (+ (+ b c) d))

series66.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(* a (+ (+ b c) d))

simplify7.1s

Counts
28 → 28
Iterations
IterNodes
done5002
34059
2656
1166
053

prune427.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 2 expressions with local error:

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

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+ insert-posit16 distribute-lft-out
1×+-commutative sum-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 39
Calls
2 calls:
38.0ms
(+ (* a (+ b c)) (* a d))
50.0ms
(* a (+ b c))

series114.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(+ (* a (+ b c)) (* a d))
58.0ms
(* a (+ b c))

simplify2.5s

Counts
45 → 45
Iterations
IterNodes
done5000
2906
1227
074

prune578.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize88.0ms

Local error

Found 2 expressions with local error:

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

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×add-sqr-sqrt pow1 +-commutative *-un-lft-identity flip3-+ distribute-rgt-out add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16
1×associate-+l+ distribute-lft-out
Counts
2 → 28
Calls
2 calls:
60.0ms
(+ (+ (* b a) (* c a)) (* a d))
19.0ms
(+ (* b a) (* c a))

series86.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(+ (+ (* b a) (* c a)) (* a d))
40.0ms
(+ (* b a) (* c a))

simplify6.0s

Counts
34 → 34
Iterations
IterNodes
done5008
33752
2875
1194
059

prune501.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize116.0ms

Local error

Found 4 expressions with local error:

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

rewrite317.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity sqrt-div
15×add-sqr-sqrt
14×associate-*r*
13×sqrt-prod
12×pow1
11×add-cbrt-cube add-exp-log
10×associate-*r/ add-cube-cbrt
9×flip3-+ flip-+
6×add-log-exp
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16
3×distribute-lft-out
2×associate-*l/ *-commutative unswap-sqr
1×+-commutative rem-sqrt-square sum-log sqrt-pow1 pow1/2
Counts
4 → 86
Calls
4 calls:
30.0ms
(sqrt (+ b c))
99.0ms
(+ (* (* a (sqrt (+ b c))) (sqrt (+ b c))) (* a d))
63.0ms
(* a (sqrt (+ b c)))
114.0ms
(* (* a (sqrt (+ b c))) (sqrt (+ b c)))

series427.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(sqrt (+ b c))
142.0ms
(+ (* (* a (sqrt (+ b c))) (sqrt (+ b c))) (* a d))
127.0ms
(* a (sqrt (+ b c)))
100.0ms
(* (* a (sqrt (+ b c))) (sqrt (+ b c)))

simplify4.0s

Counts
98 → 98
Iterations
IterNodes
done5000
21509
1462
0168

prune1.4s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes1.6s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample1.7s

Algorithm
intervals
Results
773.0ms8000×pre80true
467.0ms8000×body80valid