Details

Time bar (total: 8.9s)

sample23.0ms

Algorithm
intervals
Results
6.0ms256×pre80true
5.0ms256×body80valid

simplify33.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1187
2397
3647
4787
done787

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
7×add-sqr-sqrt distribute-lft-out add-log-exp
5×add-cube-cbrt associate-*r*
4×pow1 add-exp-log fma-def add-cbrt-cube
3×associate-*l* sum-log
2×expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u
1×+-commutative distribute-rgt-in associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 47
Calls
2 calls:
18.0ms
(+ (+ b c) d)
38.0ms
(* a (+ (+ b c) d))

series44.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(+ (+ b c) d)
28.0ms
(* a (+ (+ b c) d))

simplify1.3s

Counts
53 → 53
Iterations

Useful iterations: 3 (309.0ms)

IterNodesCost
070428
1184407
2627379
32679367
done5000367

prune110.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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×expm1-log1p-u flip3-+ associate-*l/ flip-+ log1p-expm1-u
1×+-commutative fma-def pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 37
Calls
2 calls:
10.0ms
(* (+ b c) a)
5.0ms
(+ (* (+ b c) a) (* a d))

series50.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(* (+ b c) a)
28.0ms
(+ (* (+ b c) a) (* a d))

simplify2.1s

Counts
43 → 43
Iterations

Useful iterations: 3 (860.0ms)

IterNodesCost
072414
1197371
2725325
33245323
done5000323

prune100.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt associate-*r*
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
8×add-cube-cbrt
7×sqrt-prod
6×associate-*l/
5×associate-*l* add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u flip3-+ flip-+ log1p-expm1-u
2×*-commutative unswap-sqr
1×+-commutative fma-def sum-log distribute-lft-out
Counts
3 → 66
Calls
3 calls:
20.0ms
(+ (* (* (+ b c) (sqrt a)) (sqrt a)) (* a d))
12.0ms
(* (+ b c) (sqrt a))
19.0ms
(* (* (+ b c) (sqrt a)) (sqrt a))

series141.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(+ (* (* (+ b c) (sqrt a)) (sqrt a)) (* a d))
52.0ms
(* (+ b c) (sqrt a))
34.0ms
(* (* (+ b c) (sqrt a)) (sqrt a))

simplify2.2s

Counts
75 → 75
Iterations

Useful iterations: done (2.2s)

IterNodesCost
0111918
1311690
21053595
34179584
done5000580

prune168.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

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))))

rewrite140.0ms

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×expm1-log1p-u frac-times swap-sqr log1p-expm1-u 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 → 115
Calls
4 calls:
39.0ms
(* a (+ (+ b c) d))
10.0ms
(sqrt (* a (+ (+ b c) d)))
11.0ms
(sqrt (* a (+ (+ b c) d)))
76.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

series441.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* a (+ (+ b c) d))
191.0ms
(sqrt (* a (+ (+ b c) d)))
191.0ms
(sqrt (* a (+ (+ b c) d)))
28.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

simplify861.0ms

Counts
127 → 127
Iterations

Useful iterations: done (858.0ms)

IterNodesCost
01421879
13361426
211581310
done50001273

prune278.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes142.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1129
done129

end0.0ms

sample561.0ms

Algorithm
intervals
Results
192.0ms8000×pre80true
169.0ms8000×body80valid