Details

Time bar (total: 8.5s)

sample28.0ms

Algorithm
intervals
Results
6.0ms256×pre80true
6.0ms256×body80valid

simplify33.0ms

Counts
1 → 1
Iterations
IterNodes
done89
589
485
366
239
118
07

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt 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:
91.0ms
(* a (+ (+ b c) d))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(* a (+ (+ b c) d))

simplify888.0ms

Counts
27 → 27
Iterations
IterNodes
done5000
2727
1165
052

prune185.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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))))

rewrite218.0ms

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×pow-prod-up add-cube-cbrt
9×flip3-+ associate-*r* flip-+
8×add-cbrt-cube add-exp-log
7×associate-*l*
6×pow-sqr sqrt-prod
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 rem-square-sqrt distribute-lft-in pow-plus sqrt-unprod
Counts
4 → 107
Calls
4 calls:
60.0ms
(* a (+ (+ b c) d))
16.0ms
(sqrt (* a (+ (+ b c) d)))
16.0ms
(sqrt (* a (+ (+ b c) d)))
122.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

series570.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* a (+ (+ b c) d))
257.0ms
(sqrt (* a (+ (+ b c) d)))
235.0ms
(sqrt (* a (+ (+ b c) d)))
32.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

simplify1.3s

Counts
119 → 119
Iterations
IterNodes
done5000
21914
1378
0135

prune528.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative sum-log pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
24.0ms
(* a (+ d b))
15.0ms
(+ (* a (+ d b)) (* c a))

series97.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* a (+ d b))
57.0ms
(+ (* a (+ d b)) (* c a))

simplify842.0ms

Counts
42 → 42
Iterations
IterNodes
done5002
2978
1229
073

prune240.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity associate-*l*
11×add-sqr-sqrt
9×pow1 add-cbrt-cube add-exp-log
7×add-cube-cbrt sqrt-prod
6×associate-*r* associate-*r/
5×distribute-rgt-in distribute-lft-in
4×pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out
2×flip3-+ *-commutative flip-+ add-log-exp unswap-sqr
Counts
2 → 55
Calls
2 calls:
69.0ms
(* (sqrt a) (+ (+ b c) d))
74.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

series185.0ms

Counts
2 → 6
Calls
2 calls:
130.0ms
(* (sqrt a) (+ (+ b c) d))
55.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

simplify1.2s

Counts
61 → 61
Iterations
IterNodes
done5001
21694
1294
091

prune236.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes590.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done12
112
08

end0.0ms

sample911.0ms

Algorithm
intervals
Results
349.0ms8000×pre80true
298.0ms8000×body80valid