Details

Time bar (total: 10.9s)

sample53.0ms

Algorithm
intervals
Results
20.0ms256×pre80true
16.0ms256×body80valid

simplify59.0ms

Counts
1 → 1
Iterations
IterNodes
692
592
491
371
240
118
07

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite93.0ms

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 expm1-log1p-u distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 27
Calls
1 calls:
92.0ms
(* a (+ (+ b c) d))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(* a (+ (+ b c) d))

simplify1.0s

Counts
30 → 30
Iterations
IterNodes
33539
2595
1153
055

prune351.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*l*
3×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt distribute-lft-out
2×associate-*l/
1×expm1-log1p-u flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
103.0ms
(* (+ (+ b c) d) a)

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(* (+ (+ b c) d) a)

simplify991.0ms

Counts
28 → 28
Iterations
IterNodes
32772
2519
1135
052

prune342.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

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))))

rewrite234.0ms

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×expm1-log1p-u frac-times swap-sqr insert-posit16 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 rem-square-sqrt distribute-lft-in pow-plus sqrt-unprod
Counts
4 → 119
Calls
4 calls:
61.0ms
(* a (+ (+ b c) d))
21.0ms
(sqrt (* a (+ (+ b c) d)))
16.0ms
(sqrt (* a (+ (+ b c) d)))
133.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

series509.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* a (+ (+ b c) d))
195.0ms
(sqrt (* a (+ (+ b c) d)))
233.0ms
(sqrt (* a (+ (+ b c) d)))
42.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

simplify1.9s

Counts
131 → 131
Iterations
IterNodes
36254
21243
1366
0144

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (+ (+ b c) d) (sqrt a))
0.4b
(* (* (+ (+ b c) d) (sqrt a)) (sqrt a))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity associate-*r*
11×add-sqr-sqrt
9×pow1 add-cbrt-cube add-exp-log
7×add-cube-cbrt sqrt-prod
6×associate-*l* associate-*l/
4×pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out
2×expm1-log1p-u flip3-+ *-commutative flip-+ insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
2 → 55
Calls
2 calls:
60.0ms
(* (+ (+ b c) d) (sqrt a))
96.0ms
(* (* (+ (+ b c) d) (sqrt a)) (sqrt a))

series102.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(* (+ (+ b c) d) (sqrt a))
40.0ms
(* (* (+ (+ b c) d) (sqrt a)) (sqrt a))

simplify1.5s

Counts
61 → 61
Iterations
IterNodes
33546
2920
1244
090

prune450.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes378.0ms

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
210
110
07

end0.0ms

sample1.1s

Algorithm
intervals
Results
453.0ms8000×pre80true
394.0ms8000×body80valid