Details

Time bar (total: 35.7s)

sample139.0ms

Algorithm
intervals
Results
67.0ms49×body1280valid
25.0ms41×body640valid
20.0ms135×body80valid
10.0ms21×body320valid
3.0ms10×body160valid

simplify943.0ms

Counts
1 → 1
Iterations
IterNodes
52043
4623
3190
283
134
017

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize48.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ U (* (* J 2) (cos (/ K 2))))
0.1b
(* (cos (/ K 2)) (* -2 J))
0.1b
(* (* J 2) (cos (/ K 2)))
8.3b
(* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
32×add-cbrt-cube add-exp-log
23×pow1
15×prod-exp cbrt-unprod
12×pow-prod-down
9×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×associate-*l*
5×associate-*r*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv times-frac div-exp *-commutative associate-/l*
1×clear-num associate-/r* frac-2neg div-inv
Counts
4 → 92
Calls
4 calls:
16.0ms
(/ U (* (* J 2) (cos (/ K 2))))
24.0ms
(* (cos (/ K 2)) (* -2 J))
31.0ms
(* (* J 2) (cos (/ K 2)))
45.0ms
(* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))

series600.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(/ U (* (* J 2) (cos (/ K 2))))
65.0ms
(* (cos (/ K 2)) (* -2 J))
67.0ms
(* (* J 2) (cos (/ K 2)))
356.0ms
(* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))

simplify4.6s

Counts
104 → 104
Iterations
IterNodes
38613
21469
1408
0162

prune1.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.5b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cos (/ K 2)) (* -2 J))
0.2b
(/ 1 (* (* J 2) (cos (/ K 2))))
0.2b
(* U (/ 1 (* (* J 2) (cos (/ K 2)))))
8.3b
(* (hypot 1 (* U (/ 1 (* (* J 2) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J)))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
71×add-exp-log
41×add-cbrt-cube
37×prod-exp
26×pow1
19×cbrt-unprod
13×add-sqr-sqrt pow-prod-down
12×div-exp
11×*-un-lft-identity add-cube-cbrt
9×associate-*r* associate-*l*
6×cbrt-undiv rec-exp times-frac 1-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative pow-flip associate-/l*
2×div-inv
1×clear-num associate-/r* frac-2neg associate-*r/ un-div-inv inv-pow unswap-sqr
Counts
4 → 120
Calls
4 calls:
15.0ms
(* (cos (/ K 2)) (* -2 J))
35.0ms
(/ 1 (* (* J 2) (cos (/ K 2))))
68.0ms
(* U (/ 1 (* (* J 2) (cos (/ K 2)))))
35.0ms
(* (hypot 1 (* U (/ 1 (* (* J 2) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J)))

series574.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(* (cos (/ K 2)) (* -2 J))
62.0ms
(/ 1 (* (* J 2) (cos (/ K 2))))
117.0ms
(* U (/ 1 (* (* J 2) (cos (/ K 2)))))
324.0ms
(* (hypot 1 (* U (/ 1 (* (* J 2) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J)))

simplify5.3s

Counts
132 → 132
Iterations
IterNodes
37987
21563
1497
0199

prune1.9s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.5b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ U (* (* J 2) (cos (/ K 2))))
0.1b
(* (cos (/ K 2)) (* -2 J))
0.1b
(* (* J 2) (cos (/ K 2)))
8.3b
(* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
32×add-cbrt-cube add-exp-log
23×pow1
15×prod-exp cbrt-unprod
12×pow-prod-down
9×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×associate-*l*
5×associate-*r*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv times-frac div-exp *-commutative associate-/l*
1×clear-num associate-/r* frac-2neg div-inv
Counts
4 → 92
Calls
4 calls:
17.0ms
(/ U (* (* J 2) (cos (/ K 2))))
27.0ms
(* (cos (/ K 2)) (* -2 J))
30.0ms
(* (* J 2) (cos (/ K 2)))
65.0ms
(* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))

series538.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(/ U (* (* J 2) (cos (/ K 2))))
52.0ms
(* (cos (/ K 2)) (* -2 J))
49.0ms
(* (* J 2) (cos (/ K 2)))
341.0ms
(* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))

simplify4.8s

Counts
104 → 104
Iterations
IterNodes
38613
21469
1408
0162

prune1.4s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 3.5b

localize69.0ms

Local error

Found 4 expressions with local error:

0.2b
(* U (/ 1 (* (* J 2) (cos (/ K 2)))))
0.2b
(* (sqrt (hypot 1 (* U (/ 1 (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J)))
8.3b
(sqrt (hypot 1 (* U (/ 1 (* (* J 2) (cos (/ K 2)))))))
8.3b
(sqrt (hypot 1 (* U (/ 1 (* (* J 2) (cos (/ K 2)))))))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
27×add-cbrt-cube
25×prod-exp
17×pow1
15×add-sqr-sqrt
13×cbrt-unprod
11×*-un-lft-identity add-cube-cbrt
9×associate-*l* sqrt-prod
8×associate-*r*
7×pow-prod-down
6×div-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv rec-exp times-frac 1-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 *-commutative
1×associate-*r/ un-div-inv div-inv unswap-sqr
Counts
4 → 98
Calls
4 calls:
68.0ms
(* U (/ 1 (* (* J 2) (cos (/ K 2)))))
54.0ms
(* (sqrt (hypot 1 (* U (/ 1 (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J)))
2.0ms
(sqrt (hypot 1 (* U (/ 1 (* (* J 2) (cos (/ K 2)))))))
3.0ms
(sqrt (hypot 1 (* U (/ 1 (* (* J 2) (cos (/ K 2)))))))

series924.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(* U (/ 1 (* (* J 2) (cos (/ K 2)))))
306.0ms
(* (sqrt (hypot 1 (* U (/ 1 (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J)))
227.0ms
(sqrt (hypot 1 (* U (/ 1 (* (* J 2) (cos (/ K 2)))))))
249.0ms
(sqrt (hypot 1 (* U (/ 1 (* (* J 2) (cos (/ K 2)))))))

simplify4.3s

Counts
110 → 110
Iterations
IterNodes
37639
21458
1450
0178

prune1.6s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 3.5b

regimes498.0ms

Accuracy

0% (4.0b remaining)

Error of 7.7b against oracle of 3.7b and baseline of 7.7b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
220
120
015

end0.0ms

sample5.6s

Algorithm
intervals
Results
2.2s1479×body1280valid
1.5s1281×body640valid
1.1s4304×body80valid
390.0ms610×body320valid
216.0ms328×body160valid