Details

Time bar (total: 9.7s)

sample36.0ms

Algorithm
intervals
Results
16.0ms89×body1280valid
5.0ms130×body80valid
3.0ms22×body640valid
1.0ms9×body320valid
1.0ms6×body160valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done10
210
19
06

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.6b

localize9.0ms

Local error

Found 1 expressions with local error:

1.5b
(- (atan (+ N 1.0)) (atan N))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt *-un-lft-identity add-log-exp
1×pow1 sub-neg flip3-- add-cbrt-cube diff-log diff-atan add-exp-log add-cube-cbrt flip-- distribute-lft-out-- difference-of-squares
Counts
1 → 15
Calls
1 calls:
5.0ms
(- (atan (+ N 1.0)) (atan N))

series13.0ms

Counts
1 → 3
Calls
1 calls:
13.0ms
(- (atan (+ N 1.0)) (atan N))

simplify2.3s

Counts
18 → 18
Iterations
IterNodes
done5001
53570
4966
3326
2149
173
036

prune77.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ N 1.0) N)
0.3b
(atan2 1.0 (+ 1 (* (+ N 1.0) N)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt
3×associate-*r*
2×associate-*l/ add-log-exp
1×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 28
Calls
2 calls:
25.0ms
(* (+ N 1.0) N)
0.0ms
(atan2 1.0 (+ 1 (* (+ N 1.0) N)))

series72.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(* (+ N 1.0) N)
8.0ms
(atan2 1.0 (+ 1 (* (+ N 1.0) N)))

simplify701.0ms

Counts
34 → 34
Iterations
IterNodes
done5002
2695
1127
055

prune139.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt N) (cbrt N))
0.5b
(cbrt N)
0.5b
(cbrt N)
0.5b
(cbrt N)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
17.0ms
(* (cbrt N) (cbrt N))
1.0ms
(cbrt N)
1.0ms
(cbrt N)
2.0ms
(cbrt N)

series1.0s

Counts
4 → 12
Calls
4 calls:
269.0ms
(* (cbrt N) (cbrt N))
254.0ms
(cbrt N)
230.0ms
(cbrt N)
257.0ms
(cbrt N)

simplify1.3s

Counts
85 → 85
Iterations
IterNodes
done5000
2727
1138
061

prune387.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))
0.3b
(atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))
0.5b
(cbrt N)
28.8b
(cbrt (* N N))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log
7×cbrt-prod add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×add-cbrt-cube associate-*r*
4×associate-*l/ add-log-exp
3×pow-prod-down prod-exp cbrt-unprod
2×pow1/3
1×flip3-+ associate-*l* *-commutative flip-+
Counts
4 → 50
Calls
4 calls:
73.0ms
(* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))
0.0ms
(atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))
1.0ms
(cbrt N)
3.0ms
(cbrt (* N N))

series592.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))
8.0ms
(atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))
239.0ms
(cbrt N)
265.0ms
(cbrt (* N N))

simplify1.1s

Counts
62 → 62
Iterations
IterNodes
done5001
21237
1252
0102

prune319.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.2b

regimes106.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.4b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done12
112
07

end0.0ms

sample1.4s

Algorithm
intervals
Results
922.0ms2873×body1280valid
153.0ms4029×body80valid
109.0ms589×body640valid
38.0ms344×body320valid
13.0ms165×body160valid