Details

Time bar (total: 7.5s)

sample41.0ms

Algorithm
intervals
Results
10.0ms256×pre80true
9.0ms256×body80valid

simplify53.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

0.1b
(* a (+ (+ b c) d))

rewrite126.0ms

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:
125.0ms
(* a (+ (+ b c) d))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(* a (+ (+ b c) d))

simplify1.5s

Counts
27 → 27

prune64.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

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:
31.0ms
(* a (+ b c))
20.0ms
(+ (* a (+ b c)) (* a d))

series94.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* a (+ b c))
56.0ms
(+ (* a (+ b c)) (* a d))

simplify462.0ms

Counts
43 → 43

prune112.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
3×distribute-lft-out
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
1×associate-+l+
Counts
2 → 26
Calls
2 calls:
11.0ms
(+ (* a b) (* a c))
46.0ms
(+ (+ (* a b) (* a c)) (* a d))

series90.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(+ (* a b) (* a c))
44.0ms
(+ (+ (* a b) (* a c)) (* a d))

simplify1.5s

Counts
32 → 32

prune72.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 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))))

rewrite301.0ms

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:
84.0ms
(* a (+ (+ b c) d))
23.0ms
(sqrt (* a (+ (+ b c) d)))
22.0ms
(sqrt (* a (+ (+ b c) d)))
167.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

series476.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* a (+ (+ b c) d))
207.0ms
(sqrt (* a (+ (+ b c) d)))
207.0ms
(sqrt (* a (+ (+ b c) d)))
32.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

simplify851.0ms

Counts
119 → 119

prune272.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes159.0ms

Accuracy

12.2% (0.0b remaining)

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

bsearch0.0ms

simplify50.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
335.0ms8000×body80valid
261.0ms8000×pre80true