Details

Time bar (total: 17.7s)

sample32.0ms

Algorithm
intervals
Results
7.0ms256×pre80true
6.0ms256×body80valid

simplify67.0ms

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

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite80.0ms

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:
79.0ms
(* a (+ (+ b c) d))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(* a (+ (+ b c) d))

simplify968.0ms

Counts
27 → 27
Iterations
IterNodes
done5000
2727
1165
052

prune151.0ms

Pruning

6 alts after pruning (5 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))))

rewrite323.0ms

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:
115.0ms
(* a (+ (+ b c) d))
31.0ms
(sqrt (* a (+ (+ b c) d)))
16.0ms
(sqrt (* a (+ (+ b c) d)))
154.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

series581.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* a (+ (+ b c) d))
241.0ms
(sqrt (* a (+ (+ b c) d)))
252.0ms
(sqrt (* a (+ (+ b c) d)))
34.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

simplify1.4s

Counts
119 → 119
Iterations
IterNodes
done5000
21914
1378
0135

prune608.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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:
25.0ms
(* a (+ d b))
10.0ms
(+ (* a (+ d b)) (* c a))

series79.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* a (+ d b))
39.0ms
(+ (* a (+ d b)) (* c a))

simplify1.0s

Counts
42 → 42
Iterations
IterNodes
done5002
2978
1229
073

prune209.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b
(* a (+ (+ b c) d))
0.1b
(sqrt (* a (+ (+ b c) d)))
0.4b
(* (sqrt a) (sqrt (+ (+ b c) d)))
0.5b
(* (* (sqrt a) (sqrt (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

rewrite346.0ms

Algorithm
rewrite-expression-head
Rules
44×pow1
27×pow-prod-down
26×sqrt-pow1
21×add-sqr-sqrt *-un-lft-identity
20×associate-*r/
17×pow1/2 associate-*r*
16×sqrt-div
15×sqrt-prod
13×add-cbrt-cube add-exp-log
11×add-cube-cbrt
10×associate-*l*
9×flip3-+ flip-+
6×pow-prod-up distribute-lft-out
5×prod-exp cbrt-unprod unswap-sqr
4×frac-times sqrt-unprod add-log-exp
3×pow-sqr *-commutative
2×associate-*l/
1×distribute-rgt-in rem-square-sqrt distribute-lft-in swap-sqr
Counts
4 → 113
Calls
4 calls:
87.0ms
(* a (+ (+ b c) d))
18.0ms
(sqrt (* a (+ (+ b c) d)))
66.0ms
(* (sqrt a) (sqrt (+ (+ b c) d)))
168.0ms
(* (* (sqrt a) (sqrt (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

series7.1s

Counts
4 → 12
Calls
4 calls:
35.0ms
(* a (+ (+ b c) d))
302.0ms
(sqrt (* a (+ (+ b c) d)))
255.0ms
(* (sqrt a) (sqrt (+ (+ b c) d)))
6.5s
(* (* (sqrt a) (sqrt (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

simplify2.3s

Counts
125 → 125
Iterations
IterNodes
done5002
23469
1566
0196

prune754.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes520.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done12
112
08

end0.0ms

sample1.0s

Algorithm
intervals
Results
281.0ms8000×pre80true
259.0ms8000×body80valid