Details

Time bar (total: 6.9s)

sample24.0ms

Algorithm
intervals
Results
6.0ms256×pre80true
5.0ms256×body80valid

simplify17.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1187
2377
3547
done547

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube distribute-lft-out
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
45.0ms
(* a (+ (+ b c) d))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(* a (+ (+ b c) d))

simplify1.3s

Counts
27 → 27
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
052255
1144240
2483212
32055212
done5001212

prune58.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+ distribute-lft-out
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 37
Calls
2 calls:
10.0ms
(* a (+ b c))
6.0ms
(+ (* a (+ b c)) (* a d))

series59.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* a (+ b c))
33.0ms
(+ (* a (+ b c)) (* a d))

simplify1.5s

Counts
43 → 43
Iterations

Useful iterations: 3 (349.0ms)

IterNodesCost
073417
1212351
2676325
32509323
done5001323

prune88.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

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)))

rewrite68.0ms

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-exp-log add-cbrt-cube
10×add-cube-cbrt associate-*r/
9×flip3-+ flip-+
6×add-log-exp
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out
2×associate-*l/ *-commutative unswap-sqr
1×+-commutative rem-sqrt-square sqrt-pow1 pow1/2 sum-log
Counts
4 → 82
Calls
4 calls:
4.0ms
(sqrt (+ b c))
23.0ms
(+ (* (* a (sqrt (+ b c))) (sqrt (+ b c))) (* a d))
12.0ms
(* a (sqrt (+ b c)))
26.0ms
(* (* a (sqrt (+ b c))) (sqrt (+ b c)))

series214.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(sqrt (+ b c))
62.0ms
(+ (* (* a (sqrt (+ b c))) (sqrt (+ b c))) (* a d))
63.0ms
(* a (sqrt (+ b c)))
51.0ms
(* (* a (sqrt (+ b c))) (sqrt (+ b c)))

simplify1.1s

Counts
94 → 94
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01641352
14401017
21400883
done5000857

prune221.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize8.0ms

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))))

rewrite151.0ms

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:
43.0ms
(* a (+ (+ b c) d))
11.0ms
(sqrt (* a (+ (+ b c) d)))
11.0ms
(sqrt (* a (+ (+ b c) d)))
82.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

series417.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* a (+ (+ b c) d))
181.0ms
(sqrt (* a (+ (+ b c) d)))
181.0ms
(sqrt (* a (+ (+ b c) d)))
27.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

simplify643.0ms

Counts
119 → 119
Iterations

Useful iterations: done (640.0ms)

IterNodesCost
01361791
13221363
211071247
done50001205

prune242.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes140.0ms

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
077
1107
done107

end0.0ms

sample546.0ms

Algorithm
intervals
Results
189.0ms8000×pre80true
152.0ms8000×body80valid