Details

Time bar (total: 15.2s)

sample57.0ms

Algorithm
intervals
Results
21.0ms256×pre80true
13.0ms256×body80valid

simplify82.0ms

Counts
1 → 1
Iterations
IterNodes
done92
592
491
371
240
118
07

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 1 expressions with local error:

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

rewrite103.0ms

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 expm1-log1p-u distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 27
Calls
1 calls:
102.0ms
(* a (+ (+ b c) d))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(* a (+ (+ b c) d))

simplify2.6s

Counts
30 → 30
Iterations
IterNodes
done5000
33955
2668
1166
055

prune163.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

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×expm1-log1p-u flip3-+ associate-*l/ flip-+ insert-posit16 log1p-expm1-u
1×+-commutative sum-log fma-def distribute-rgt-out pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 40
Calls
2 calls:
16.0ms
(* (+ b c) a)
24.0ms
(+ (* (+ b c) a) (* d a))

series69.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (+ b c) a)
38.0ms
(+ (* (+ b c) a) (* d a))

simplify3.3s

Counts
46 → 46
Iterations
IterNodes
done5011
33134
2740
1212
075

prune244.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 11
Calls
1 calls:
1.0ms
(fma (+ b c) a (* d a))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(fma (+ b c) a (* d a))

simplify3.0s

Counts
14 → 14
Iterations
IterNodes
done5000
44100
3508
2100
136
024

prune82.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×*-un-lft-identity sqrt-div
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×expm1-log1p-u frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u
3×distribute-lft-out
2×associate-*r/ *-commutative unswap-sqr
1×+-commutative rem-sqrt-square sum-log fma-def sqrt-pow1 pow1/2 hypot-def
Counts
4 → 96
Calls
4 calls:
5.0ms
(sqrt (+ b c))
55.0ms
(+ (* (sqrt (+ b c)) (* (sqrt (+ b c)) a)) (* d a))
22.0ms
(* (sqrt (+ b c)) a)
42.0ms
(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))

series288.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(sqrt (+ b c))
84.0ms
(+ (* (sqrt (+ b c)) (* (sqrt (+ b c)) a)) (* d a))
83.0ms
(* (sqrt (+ b c)) a)
68.0ms
(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))

simplify2.9s

Counts
108 → 108
Iterations
IterNodes
done5000
34881
21325
1443
0166

prune535.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes250.0ms

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
done9
19
07

end0.0ms

sample1.2s

Algorithm
intervals
Results
591.0ms8000×pre80true
341.0ms8000×body80valid