Details

Time bar (total: 10.6s)

sample63.0ms

Algorithm
intervals
Results
12.0ms256×pre80true
11.0ms256×body80valid

simplify34.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1187
2397
3657
done657

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite158.0ms

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-exp-log add-cube-cbrt add-cbrt-cube
3×associate-*l* sum-log
2×flip3-+ associate-*r/ flip-+
1×+-commutative distribute-rgt-in associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 39
Calls
2 calls:
39.0ms
(+ (+ b c) d)
117.0ms
(* a (+ (+ b c) d))

series83.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(+ (+ b c) d)
56.0ms
(* a (+ (+ b c) d))

simplify2.4s

Counts
45 → 45
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
066400
1177380
2683346
33966340
done5001340

prune88.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×flip3-+ associate-*l/ flip-+
1×+-commutative distribute-rgt-out pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 33
Calls
2 calls:
36.0ms
(* (+ b c) a)
18.0ms
(+ (* (+ b c) a) (* d a))

series62.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* (+ b c) a)
36.0ms
(+ (* (+ b c) a) (* d a))

simplify2.8s

Counts
39 → 39
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
068387
1191329
2768303
33716301
done5000301

prune95.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite304.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×add-sqr-sqrt associate-*l*
10×pow1 add-exp-log add-cbrt-cube
8×add-cube-cbrt add-log-exp
7×sqrt-prod
6×associate-*r/ associate-*r* distribute-lft-out
5×distribute-rgt-in distribute-lft-in
4×pow-prod-down prod-exp cbrt-unprod
3×flip3-+ sum-log flip-+
2×*-commutative unswap-sqr
1×+-commutative associate-+l+
Counts
3 → 70
Calls
3 calls:
39.0ms
(+ (+ b c) d)
124.0ms
(* (sqrt a) (+ (+ b c) d))
138.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

series240.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(+ (+ b c) d)
138.0ms
(* (sqrt a) (+ (+ b c) d))
78.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

simplify844.0ms

Counts
79 → 79
Iterations

Useful iterations: 2 (222.0ms)

IterNodesCost
0105919
1284764
21226672
done5002672

prune186.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (+ (+ b c) d))
0.1b
(sqrt (* a (+ (+ b c) d)))
0.1b
(sqrt (* a (+ (+ b c) d)))
0.5b
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

rewrite344.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*r/
16×sqrt-div
15×*-un-lft-identity
14×add-sqr-sqrt
12×pow1/2
10×add-cube-cbrt pow-prod-up
9×flip3-+ associate-*r* flip-+
8×add-exp-log add-cbrt-cube
7×associate-*l*
6×sqrt-prod pow-sqr
4×frac-times swap-sqr add-log-exp
3×distribute-lft-out
2×associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 distribute-rgt-in distribute-lft-in pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 107
Calls
4 calls:
92.0ms
(* a (+ (+ b c) d))
23.0ms
(sqrt (* a (+ (+ b c) d)))
21.0ms
(sqrt (* a (+ (+ b c) d)))
201.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

series569.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* a (+ (+ b c) d))
204.0ms
(sqrt (* a (+ (+ b c) d)))
273.0ms
(sqrt (* a (+ (+ b c) d)))
50.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

simplify735.0ms

Counts
119 → 119
Iterations

Useful iterations: done (731.0ms)

IterNodesCost
01361791
13221363
211711247
done50011169

prune302.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes175.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1107
done107

end0.0ms

sample965.0ms

Algorithm
intervals
Results
301.0ms8000×body80valid
258.0ms8000×pre80true