Details

Time bar (total: 11.7s)

sample33.0ms

Algorithm
intervals
Results
12.0ms256×pre80true
6.0ms256×body80valid

simplify62.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1187
2417
3757
4937
done937

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))

rewrite176.0ms

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:
48.0ms
(+ (+ b c) d)
126.0ms
(* a (+ (+ b c) d))

series70.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(+ (+ b c) d)
51.0ms
(* a (+ (+ b c) d))

simplify2.4s

Counts
53 → 53
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
070428
1186407
2721369
34206367
done5000367

prune138.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

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 distribute-rgt-out fma-def pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 38
Calls
2 calls:
22.0ms
(* (+ b c) a)
18.0ms
(+ (* (+ b c) a) (* d a))

series57.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* (+ b c) a)
32.0ms
(+ (* (+ b c) a) (* d a))

simplify3.4s

Counts
44 → 44
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
072419
1203356
2830344
34162328
done5000328

prune126.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

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)))

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
13×add-sqr-sqrt
12×associate-*l*
10×pow1 add-exp-log add-cbrt-cube
9×add-cube-cbrt
8×add-log-exp
7×sqrt-prod distribute-lft-out
6×associate-*r/ associate-*r*
5×distribute-rgt-in distribute-lft-in
4×fma-def pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u flip3-+ sum-log flip-+ log1p-expm1-u
2×*-commutative unswap-sqr
1×+-commutative associate-+l+
Counts
3 → 80
Calls
3 calls:
33.0ms
(+ (+ b c) d)
82.0ms
(* (sqrt a) (+ (+ b c) d))
87.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

series209.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(+ (+ b c) d)
120.0ms
(* (sqrt a) (+ (+ b c) d))
71.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

simplify1.0s

Counts
89 → 89
Iterations

Useful iterations: done (999.0ms)

IterNodesCost
0111973
1297808
21282717
done5000714

prune171.0ms

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))))

rewrite288.0ms

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:
77.0ms
(* a (+ (+ b c) d))
22.0ms
(sqrt (* a (+ (+ b c) d)))
21.0ms
(sqrt (* a (+ (+ b c) d)))
163.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

series536.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* a (+ (+ b c) d))
235.0ms
(sqrt (* a (+ (+ b c) d)))
223.0ms
(sqrt (* a (+ (+ b c) d)))
31.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

simplify879.0ms

Counts
127 → 127
Iterations

Useful iterations: done (875.0ms)

IterNodesCost
01421879
13391426
212271310
done50001232

prune273.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes173.0ms

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 (0.0ms)

IterNodesCost
077
1107
done107

end0.0ms

sample1.4s

Algorithm
intervals
Results
663.0ms8000×body80valid
293.0ms8000×pre80true