Details

Time bar (total: 31.6s)

sample224.0ms

Algorithm
intervals
Results
89.0ms63×body1280valid
59.0ms35×body640valid
35.0ms134×body80valid
10.0ms15×body320valid
5.0ms9×body160valid

simplify843.0ms

Counts
1 → 1
Iterations
IterNodes
52059
4626
3192
285
136
017

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cos (/ K 2)) (* -2 J))
0.1b
(* (* J 2) (cos (/ K 2)))
0.1b
(/ U (* (* J 2) (cos (/ K 2))))
6.6b
(* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))

rewrite108.0ms

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:
22.0ms
(* (cos (/ K 2)) (* -2 J))
15.0ms
(* (* J 2) (cos (/ K 2)))
23.0ms
(/ U (* (* J 2) (cos (/ K 2))))
45.0ms
(* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))

series536.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* (cos (/ K 2)) (* -2 J))
61.0ms
(* (* J 2) (cos (/ K 2)))
102.0ms
(/ U (* (* J 2) (cos (/ K 2))))
312.0ms
(* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))

simplify4.4s

Counts
104 → 104
Iterations
IterNodes
38625
21471
1413
0162

prune1.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 4.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cos (/ K 2)))
0.3b
(cbrt (cos (/ K 2)))
0.3b
(cbrt (cos (/ K 2)))
6.6b
(* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J))))

rewrite195.0ms

Algorithm
rewrite-expression-head
Rules
33×pow1 add-exp-log
23×add-cbrt-cube
22×pow-prod-down prod-exp cbrt-unprod
9×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 associate-*l*
1×associate-*r* *-commutative
Counts
4 → 78
Calls
4 calls:
1.0ms
(cbrt (cos (/ K 2)))
1.0ms
(cbrt (cos (/ K 2)))
1.0ms
(cbrt (cos (/ K 2)))
191.0ms
(* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J))))

series758.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(cbrt (cos (/ K 2)))
145.0ms
(cbrt (cos (/ K 2)))
157.0ms
(cbrt (cos (/ K 2)))
323.0ms
(* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J))))

simplify3.5s

Counts
90 → 90
Iterations
IterNodes
36104
21263
1326
0124

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cos (/ K 2)))
0.3b
(cbrt (cos (/ K 2)))
0.3b
(cbrt (cos (/ K 2)))
6.6b
(* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (* (cbrt (cos (/ K 2))) (log (exp (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) (* -2 J))))

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
33×pow1 add-exp-log
26×add-cbrt-cube
22×pow-prod-down prod-exp cbrt-unprod
9×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 associate-*l*
1×associate-*r* *-commutative
Counts
4 → 78
Calls
4 calls:
1.0ms
(cbrt (cos (/ K 2)))
1.0ms
(cbrt (cos (/ K 2)))
1.0ms
(cbrt (cos (/ K 2)))
205.0ms
(* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (* (cbrt (cos (/ K 2))) (log (exp (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) (* -2 J))))

series811.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(cbrt (cos (/ K 2)))
133.0ms
(cbrt (cos (/ K 2)))
168.0ms
(cbrt (cos (/ K 2)))
394.0ms
(* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (* (cbrt (cos (/ K 2))) (log (exp (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) (* -2 J))))

simplify3.7s

Counts
90 → 90
Iterations
IterNodes
36542
21403
1353
0129

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 4.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))))
6.6b
(* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))
6.6b
(* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))
6.6b
(* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))

rewrite215.0ms

Algorithm
rewrite-expression-head
Rules
31×pow1 add-cbrt-cube add-exp-log
18×pow-prod-down prod-exp cbrt-unprod
9×associate-*l*
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-*r* *-commutative
1×cbrt-prod pow1/3
Counts
4 → 84
Calls
4 calls:
25.0ms
(cbrt (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))))
49.0ms
(* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))
70.0ms
(* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))
71.0ms
(* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))

series1.6s

Counts
4 → 12
Calls
4 calls:
494.0ms
(cbrt (* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))))
346.0ms
(* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))
371.0ms
(* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))
354.0ms
(* (hypot 1 (/ U (* (* J 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))

simplify1.8s

Counts
96 → 96
Iterations
IterNodes
33624
2840
1268
0112

prune1.5s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 4.0b

regimes490.0ms

Accuracy

0% (3.8b remaining)

Error of 7.7b against oracle of 3.9b and baseline of 7.7b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
222
122
015

end0.0ms

sample6.6s

Algorithm
intervals
Results
2.6s1543×body1280valid
1.8s1260×body640valid
1.1s4254×body80valid
630.0ms635×body320valid
203.0ms310×body160valid